diff --git a/examples/forward_problems/mechanics/example_hyper_visco_2d.py b/examples/forward_problems/mechanics/example_hyper_visco_2d.py index 627c6bd..f8f5ffb 100644 --- a/examples/forward_problems/mechanics/example_hyper_visco_2d.py +++ b/examples/forward_problems/mechanics/example_hyper_visco_2d.py @@ -58,7 +58,8 @@ def dirichlet_bc_func(xs, t, nn): # model = NeoHookean(bulk_modulus=10., shear_modulus=0.855) model = SimpleFeFv( NeoHookean(bulk_modulus=10.0, shear_modulus=1.0), - PronySeries(moduli=[1.0, 2.0], relaxation_times=[10.0, 20.0]), + # PronySeries(moduli=[1.0, 2.0], relaxation_times=[10.0, 20.0]), + PronySeries(moduli=[1.], relaxation_times=[10.]), WLF(C1=17.44, C2=51.6, theta_ref=60.0), ) physics = SolidMechanics(model, PlaneStrain()) @@ -86,7 +87,7 @@ def dirichlet_bc_func(xs, t, nn): loss_function = PathDependentEnergyLoss() # loss_function = EnergyLoss() -params = Parameters(problem, key, seperate_networks=False) +params = Parameters(problem, key, seperate_networks=True) print(params) ################## @@ -94,7 +95,7 @@ def dirichlet_bc_func(xs, t, nn): ################## opt = Adam(loss_function, learning_rate=1.0e-3, has_aux=True, clip_gradients=False) opt, opt_st = opt.init(params) -for epoch in range(1000): +for epoch in range(25000): params, opt_st, loss = opt.step(params, opt_st, problem) # logger.log_loss(loss, epoch) if epoch % 100 == 0: diff --git a/examples/forward_problems/mechanics/example_hyper_visco_3d_2holes.py b/examples/forward_problems/mechanics/example_hyper_visco_3d_2holes.py index 6392a5d..0251bec 100644 --- a/examples/forward_problems/mechanics/example_hyper_visco_3d_2holes.py +++ b/examples/forward_problems/mechanics/example_hyper_visco_3d_2holes.py @@ -74,7 +74,7 @@ def dirichlet_bc_func(xs, t, nn): # model = NeoHookean(bulk_modulus=10., shear_modulus=0.855) model = SimpleFeFv( - NeoHookean(bulk_modulus=10.0, shear_modulus=0.855), + NeoHookean(bulk_modulus=100.0, shear_modulus=0.855), PronySeries(moduli=[1.0], relaxation_times=[10.0]), WLF(C1=17.44, C2=51.6, theta_ref=60.0), ) diff --git a/examples/forward_problems/mechanics/example_incompressible_2d.py b/examples/forward_problems/mechanics/hyperelasticity/example_incompressible_2d.py similarity index 91% rename from examples/forward_problems/mechanics/example_incompressible_2d.py rename to examples/forward_problems/mechanics/hyperelasticity/example_incompressible_2d.py index 546e06a..131d289 100644 --- a/examples/forward_problems/mechanics/example_incompressible_2d.py +++ b/examples/forward_problems/mechanics/hyperelasticity/example_incompressible_2d.py @@ -30,7 +30,7 @@ shear_modulus=1., ) physics = SolidMechanics(model, PlaneStrain()) -physics = physics.update_dirichlet_bc_func(dirichlet_bc_func) +# physics = physics.update_dirichlet_bc_func(dirichlet_bc_func) ics = [ ] dirichlet_bcs = [ @@ -51,7 +51,11 @@ # ML setup ################## loss_function = EnergyLoss() -params = Parameters(problem, key, seperate_networks=False) +params = Parameters( + problem, key, + dirichlet_bc_func=dirichlet_bc_func, + seperate_networks=False +) print(params) ################## diff --git a/examples/forward_problems/mechanics/example_incompressible_3d.py b/examples/forward_problems/mechanics/hyperelasticity/example_incompressible_3d.py similarity index 93% rename from examples/forward_problems/mechanics/example_incompressible_3d.py rename to examples/forward_problems/mechanics/hyperelasticity/example_incompressible_3d.py index 3508e0b..02b6260 100644 --- a/examples/forward_problems/mechanics/example_incompressible_3d.py +++ b/examples/forward_problems/mechanics/hyperelasticity/example_incompressible_3d.py @@ -29,7 +29,6 @@ ) formulation = ThreeDimensional() physics = SolidMechanics(model, formulation) -physics = physics.update_dirichlet_bc_func(dirichlet_bc_func) ics = [ ] dirichlet_bcs = [ @@ -52,7 +51,11 @@ # ML setup ################## loss_function = EnergyLoss() -params = Parameters(problem, key, seperate_networks=False) +params = Parameters( + problem, key, + dirichlet_bc_func=dirichlet_bc_func, + seperate_networks=False +) ################## # train network diff --git a/examples/forward_problems/mechanics/new_hyper_visco_example_3d.py b/examples/forward_problems/mechanics/new_hyper_visco_example_3d.py new file mode 100644 index 0000000..2cabd25 --- /dev/null +++ b/examples/forward_problems/mechanics/new_hyper_visco_example_3d.py @@ -0,0 +1,189 @@ +from pancax import * +from jax import vmap +# import jax +import netCDF4 as nc + +################## +# for reproducibility +################## +key = random.PRNGKey(10) + +################## +# file management +################## +mesh_file = find_mesh_file("2holes.g") +output_file = "output-energy.e" +# mesh_file = find_mesh_file("mesh_quad4.g") +pp = PostProcessor(mesh_file, "exodus") + +################## +# domain setup +################## +times_1 = jnp.linspace(0., 1., 11) +times_2 = jnp.linspace(1., 2., 11) +times = jnp.hstack((times_1, times_2[1:])) +domain = VariationalDomain(mesh_file, times, q_order=2) + +sample_length = 1. +applied_displ = 1. +t_switch = times_1[-1] + +def dirichlet_bc_func(xs, t, nn): + length = sample_length + final_displacement = applied_displ + + # x, y, z = xs[0], xs[1], xs[2] + y = xs[1] + u_out = nn + u_out = u_out.at[0].set( + y * (y - length) * t * nn[0] / length**2 + ) + + u_out = jax.lax.cond( + t > t_switch, + lambda u: u.at[1].set( + y * final_displacement / length + + y * (y - length) * t * nn[1] / length**2 + ), + lambda u: u.at[1].set( + y * (t / t_switch) * final_displacement / length + + y * (y - length) * t * nn[1] / length**2 + ), + u_out + ) + u_out = u_out.at[2].set( + y * (y - length) * t * nn[2] / length**2 + ) + return u_out + +model = SimpleFeFv( + NeoHookean(bulk_modulus=10.0, shear_modulus=0.855), + PronySeries(moduli=[1.0], relaxation_times=[0.25]), + WLF(C1=17.44, C2=51.6, theta_ref=60.0), +) +physics = SolidMechanics(model, ThreeDimensional()) +physics = physics.update_dirichlet_bc_func(dirichlet_bc_func) + +ics = [] +dirichlet_bcs = [ + DirichletBC("nodeset_3", 0), + DirichletBC("nodeset_3", 1), + DirichletBC("nodeset_3", 2), + DirichletBC("nodeset_5", 0), + DirichletBC("nodeset_5", 1), + DirichletBC("nodeset_5", 2) +] +neumann_bcs = [] + +################## +# problem setup +################## +problem = ForwardProblem(domain, physics, ics, dirichlet_bcs, neumann_bcs) + +################## +# ML setup +################## +def loss_function(params, problem, state_old, t, dt): + field, physics, _ = params + us = physics.vmap_field_values(field, problem.coords, t[0]) + pi, state_new = physics.potential_energy( + physics, problem.domain, t, us, state_old, dt + ) + return pi, dict(energy=pi, state_new=state_new) + + # (pi, state_new), R = physics.potential_energy_and_residual( + # params, problem.domain, t[0], us, state_old, dt[0] + # ) + # return pi + 250.e9 * R, dict( + # energy=pi, + # residual=R, + # state_new=state_new + # ) + # # return R, dict( + # # energy=pi, + # # residual=R, + # # state_new=state_new + # # ) + +loss_function = UserDefinedLossFunction(loss_function) + +# loss_function = PathDependentEnergyLoss() + +params = Parameters(problem, key, seperate_networks=False)#, network_type=ResNet) +print(params) + +################## +# train network +################## +opt = Adam(loss_function, learning_rate=1.0e-3, has_aux=True, clip_gradients=False) +opt, opt_st = opt.init(params) + +# for epoch in range(25000): +# params, opt_st, loss = opt.step(params, opt_st, problem) + +# if epoch % 100 == 0: +# print(f"Epoch = {epoch:7d} Energy = {loss[1]["energy"]:4.6f}") + + +# pp.init( +# params, +# problem, +# f"output_{str(epoch).zfill(6)}.e", +# node_variables=[ +# "field_values", +# "internal_force" +# ], +# # element_variables=["deformation_gradients"], +# element_variables=[ +# "deformation_gradient", +# "state_variables" +# ] +# ) +# pp.write_outputs(params, problem) +# pp.close() + + +def _vmap_func(n): + return problem.physics.constitutive_model.\ + initial_state() + +ne = problem.domain.conns.shape[0] +nq = len(problem.domain.fspace.quadrature_rule) +state_old = vmap(vmap(_vmap_func))(jnp.zeros((ne, nq))) + +pp.init( + params, problem, output_file, + node_variables=[ + "field_values", + "internal_force" + ], + element_variables=[ + "pk1_stress", + "state_variables" + ] +) + +for n, t in enumerate(times[1:]): + print(f"Load step {n + 1}") + dt = t - times[n] + print(f"Time step = {dt}") + t = jnp.array([t]) + dt = jnp.array([dt]) + params = Parameters(problem, key, seperate_networks=False)#, network_type=ResNet) + opt, opt_st = opt.init(params) + + + for epoch in range(25000): + params, opt_st, loss = opt.step(params, opt_st, problem, state_old, t, dt) + + if epoch % 100 == 0: + print(f"Epoch = {epoch:7d} Energy = {loss[1]["energy"]:4.6f}") + # print(f"Epoch = {epoch:7d} Energy = {loss[1]["energy"]:4.6f} Residual = {loss[1]["residual"]:4.6f}") + + # post process + with nc.Dataset(output_file, "a") as dataset: + pp.pp._write_step_outputs(dataset, n, params, problem, t[0], dt[0], state_old) + + state_old = loss[1]["state_new"] + + diff --git a/examples/forward_problems/mechanics/plot_force_disp.py b/examples/forward_problems/mechanics/plot_force_disp.py index 482eda9..cf8dc8f 100644 --- a/examples/forward_problems/mechanics/plot_force_disp.py +++ b/examples/forward_problems/mechanics/plot_force_disp.py @@ -3,13 +3,10 @@ import matplotlib.pyplot as plt import netCDF4 as nc import numpy as np +import pandas parser = argparse.ArgumentParser(description="A script to plot force displacement curves.") -parser.add_argument( - "--exodus-file", - help="The name of the exodus file." -) parser.add_argument( "--displacement-variable", help="name of the displacment variable" @@ -19,71 +16,100 @@ help="name of the internal force variable" ) parser.add_argument( - "--nodeset", - help="name of the node set to read data from" + "--pinn-exodus-file", + help="The name of the PINN exodus file" +) +parser.add_argument( + "--pinn-nodeset", + help="name of the Sierra node set to read data from" +) +parser.add_argument( + "--sierra-exodus-file", + help="The name of the Sierra exodus file." +) +parser.add_argument( + "--sierra-nodeset", + help="name of the Sierra node set to read data from" ) args = parser.parse_args() -# exo_file = "../../../output_010000.e" -exo_file = args.exodus_file -# disp_var_name = "displ_y" -# force_var_name = "internal_force_y" -# nset_name = "nset_1" disp_var_name = args.displacement_variable force_var_name = args.force_variable -nset_name = args.nodeset +pinn_exo_file = args.pinn_exodus_file +pinn_nset_name = args.pinn_nodeset +sierra_exo_file = args.sierra_exodus_file +sierra_nset_name = args.sierra_nodeset + + +def extract_data(exo_file, nset_name, disp_var_name, force_var_name): + displacements = [] + forces = [] + with nc.Dataset(exo_file, "r") as data: + nsets = _read_node_sets(data) + node_var_names = data.variables["name_nod_var"] + node_var_names.set_auto_mask(False) + node_var_names = [b"".join(c).decode("UTF-8").rstrip() for c in node_var_names[:]] + + assert nset_name in nsets.keys(), f"Available nodesets are {nsets.keys()}" + assert disp_var_name in node_var_names + assert force_var_name in node_var_names + + nset = nsets[nset_name] + disp_var_index = node_var_names.index(disp_var_name) + force_var_index = node_var_names.index(force_var_name) -displacements = [] -forces = [] + disp_var_name = f"vals_nod_var{disp_var_index + 1}" + force_var_name = f"vals_nod_var{force_var_index + 1}" -with nc.Dataset(exo_file, "r") as data: - nsets = _read_node_sets(data) - node_var_names = data.variables["name_nod_var"] - node_var_names.set_auto_mask(False) - node_var_names = [b"".join(c).decode("UTF-8").rstrip() for c in node_var_names[:]] + times = data.variables["time_whole"][:] - assert nset_name in nsets.keys() - assert disp_var_name in node_var_names - assert force_var_name in node_var_names + disp_all_times = data.variables[disp_var_name] + force_all_times = data.variables[force_var_name] - nset = nsets[nset_name] - disp_var_index = node_var_names.index(disp_var_name) - force_var_index = node_var_names.index(force_var_name) + for n, time in enumerate(times): + disp = np.array(disp_all_times[n, nset]) + force = np.array(force_all_times[n, nset]) - disp_var_name = f"vals_nod_var{disp_var_index + 1}" - force_var_name = f"vals_nod_var{force_var_index + 1}" + displacements.append(np.mean(disp)) + forces.append(np.sum(force)) - times = data.variables["time_whole"][:] + times = np.array(times) + displacements = np.array(displacements) + forces = np.array(forces) - disp_all_times = data.variables[disp_var_name] - force_all_times = data.variables[force_var_name] + return times, displacements, forces - for n, time in enumerate(times): - disp = np.array(disp_all_times[n, nset]) - force = np.array(force_all_times[n, nset]) +p_times, p_displacements, p_forces = extract_data(pinn_exo_file, pinn_nset_name, disp_var_name, force_var_name) +s_times, s_displacements, s_forces = extract_data(sierra_exo_file, sierra_nset_name, disp_var_name, force_var_name) - displacements.append(np.mean(disp)) - forces.append(np.sum(force)) +# save sierra exo file to csv file +df_data = np.array([p_times, p_displacements, p_forces]).T +df_columns = ["times", "disps", "forces"] +df = pandas.DataFrame(df_data, columns=df_columns) +df.to_csv("global_data.csv", index=False) -times = np.array(times) -displacements = np.array(displacements) -forces = np.array(forces) plt.figure(1) -plt.plot(times, displacements) +plt.plot(p_times, p_displacements, label="PINN", linestyle="None", marker="o") +plt.plot(s_times, s_displacements, label="FEM") +plt.legend(loc="best") plt.xlabel("Time") plt.ylabel("Displacement") plt.savefig("time_disp.png") plt.figure(2) -plt.plot(times, forces) +plt.plot(p_times, p_forces, label="PINN", linestyle="None", marker="o") +plt.plot(s_times, s_forces, label="FEM") +plt.legend(loc="best") plt.xlabel("Time") plt.ylabel("Force") plt.savefig("time_force.png") plt.figure(3) -plt.plot(displacements, forces) +plt.plot(p_displacements, p_forces, label="PINN", linestyle="None", marker="o") +plt.plot(s_displacements, s_forces, label="FEM") +plt.legend(loc="best") plt.xlabel("Displacement") plt.ylabel("Force") plt.savefig("disp_force.png") diff --git a/examples/forward_problems/mechanics/uniaxial_tension_hyperviscoelasticity.i b/examples/forward_problems/mechanics/uniaxial_tension_hyperviscoelasticity.i deleted file mode 100755 index 9c6a022..0000000 --- a/examples/forward_problems/mechanics/uniaxial_tension_hyperviscoelasticity.i +++ /dev/null @@ -1,349 +0,0 @@ -begin sierra IsothermalCompression15pcf - - title Compression under isothermal conditions - - begin feti equation solver feti - end feti equation solver feti - - ###################################################################### - ### ### - ### Input Deck Description ### - ### ### - ###################################################################### - ### UNITS ##### - # - ############### - ## Force = N - ## Stress = Pa - ## Mass = Kg - ## Length = m - ## Temperature = K - ## Time = s - ## Density = kg / m^3 - ############### - - ###################################################################### - ### ### - ### APREPRO Inputs and function definitions ### - ### ### - ###################################################################### - #{KELVIN = 273.15} - #NSTEPS_PER_CYCLE = {NSTEPS_PER_CYCLE = 1000} - #dt0 = {dt0 = 1.0e-2} # s - - - ### -------------------------------------------------- - ### Aprepro constants specified through the parametric studies - ### -------------------------------------------------- - #nominal_strain_rate = {nominal_strain_rate = 10.0} - #max_nominal_strain = {max_nominal_strain = 0.1} - - ### -------------------------------------------------- - ### Aprepro constants not specified through the parametric studies - ### -------------------------------------------------- - - ## These are the simulation dimensions (its actually the dimensions of the 1/8th part modeled) - #initial_height = {initial_height = 1} # m - #initial_area = {initial_area = 1} # m^2 - - ## (Initial) Time Steps - - ### -------------------------------------------------- - ### Derived Aprepro constants - ### -------------------------------------------------- - - #displacement_rate = {displacement_rate = nominal_strain_rate * initial_height} - #max_displacement = {max_displacement = max_nominal_strain * initial_height} - #cycle_time = {cycle_time = 2 * abs(max_nominal_strain / nominal_strain_rate)} - #load_time = {load_time = abs(max_nominal_strain / nominal_strain_rate)} - #end_time = {end_time = 1e3} - ### -------------------------------------------------- - ### Displacement Rate History - ### -------------------------------------------------- - begin definition for function applied_disp_fun - type is piecewise linear - begin values - 0.0 0.0 - {load_time} {max_displacement} - {end_time + load_time} {max_displacement} - end values - end definition for function applied_disp_fun - - ###################################################################### - ### ### - ### Geometry, Section, and Mesh Definitions ### - ### ### - ###################################################################### - - ### -------------------------------------------------- - ### Directions - ### -------------------------------------------------- - - define direction x with vector 1.0 0.0 0.0 - define direction y with vector 0.0 1.0 0.0 - define direction z with vector 0.0 0.0 1.0 - - ### -------------------------------------------------- - ### Material Model Definitions - ### -------------------------------------------------- - - begin property specification for material foam - density = 240.0 - - begin parameters for model neo_hookean - bulk modulus = 10.0 - shear modulus = 0.855 - end - - begin parameters for model modularhyperelasticdamage - # - # choose a hyperelastic model - # - strain energy density = neohookean - #hyper viscoelastic formulation = ISV - #neq model = quadraticmandel - damage model = nodamage - # - # hyperelastic properties - # - bulk modulus = 10.0 - shear modulus = 0.855 - # - # shift factor model - # - #shift factor model = none - #WLF C1 = 17.44 - #WLF C2 = 51.6 - #reference temperature = 60.0 - # - # common viscoelastic properties - # - #bulk rubbery 0 = 10.0 - #shear rubbery 0 = 0.855 - ##bulk glassy 0 = 10.0 - #shear glassy 0 = 0.855 - # - # Prony series - # - #num bulk prony terms = 0 - #num shear prony terms = 1 - # - #relax time 1 = 10.0 - # - #f2 1 = 1.0 - # - end - - - end property specification for material foam - - ### -------------------------------------------------- - ### Element Block Definitions - ### -------------------------------------------------- - - begin solid section solid_1 - #formulation = fully_integrated - end solid section solid_1 - - - begin finite element model mesh1 - Database Name = mesh/mesh_hex8.g - Database Type = exodusII - - begin parameters for block block_1 - material foam - model = neo_hookean - #model = modularhyperelasticdamage - section = solid_1 - effective moduli model = elastic - end parameters for block block_1 - - end finite element model mesh1 - - ###################################################################### - ### ### - ### ADAGIO Procedure ### - ### ### - ###################################################################### - - begin adagio procedure adagio_procedure - - ### -------------------------------------------------- - ### Time Step Definition - ### -------------------------------------------------- - - begin time control - - begin time stepping block pload - start time = 0.0 - begin parameters for adagio region adagio_region - time increment = {dt0} - #Number of time steps = {NSTEPS_PER_CYCLE} - end parameters for adagio region adagio_region - end time stepping block pload - - #termination time = {cycle_time} - termination time = {end_time} - #termination time = {end_time + 2.0 * load_time} - end time control - - ###################################################################### - ### ### - ### ADAGIO Region ### - ### ### - ###################################################################### - - begin adagio region adagio_region - use finite element model mesh1 - logfile precision = 7 - - ### -------------------------------------------------- - ### Output Commands - ### -------------------------------------------------- - - ###################################################################### - ### ### - ### Output Commands ### - ### ### - ###################################################################### - - - #User Output - # The reaction force will be postive in compression for nset_y0 - #begin user output - # node set = nset_3 - # compute global axial_force as sum of nodal reaction(y) - # compute at every step - #end user output - - #begin user output - # compute global nominal_stress_yy from expression "-axial_force / {initial_area}" - # compute at every step - #end user output - - #begin user output - # node set = nset_111 # Single node - ## compute global delta_x as average of nodal displacement(x) - # compute global delta_y as average of nodal displacement(y) - # compute global delta_z as average of nodal displacement(z) - # compute at every step - #end user output - - #begin user output - # compute global nominal_strain_xx from expression "delta_x / {initial_height}" - # compute global nominal_strain_yy from expression "delta_y / {initial_height}" - # compute global nominal_strain_zz from expression "delta_z / {initial_height}" - # compute at every step - #end user output - - # Field Output - begin Results Output output_adagio_region - Database Name = %B.e - Database Type = exodusII - at step 0, increment = 1 - nodal Variables = displacement as displ - nodal Variables = reaction as reaction_forces - #element Variables = stress as stress - #element Variables = unrotated_log_strain as logU - #element variables = a as shift_factor - #element variables = fv as Fv - #element variables = temperature as temperature - #global variables = nominal_strain_xx as nominal_strain_xx - #global variables = nominal_strain_yy as nominal_strain_yy - #global variables = nominal_strain_zz as nominal_strain_zz - #global variables = nominal_stress_yy as nominal_stress_yy - end results output output_adagio_region - - - # Heartbeat Output - begin heartbeat ouput DATAHB - stream name = %B.hb - append = off - precision = 10 - legend = on - format=CSV #default - labels=off - timestamp format="" - at time 0, increment = 1.0E-6 - global time as time - global timestep as timestep - global nominal_strain_xx - global nominal_strain_yy - global nominal_strain_zz - global nominal_stress_yy - end heartbeat ouput DATAHB - - ### -------------------------------------------------- - ### Boundary Conditions - ### -------------------------------------------------- - - begin initial temperature - block = block_1 - magnitude = 75.0 - end - - # Platen Condition Only During Loading - begin prescribed displacement - node set = nset_5 - direction = y - function = applied_disp_fun - #scale factor = -1.0 - end prescribed displacement - - # 3 Symmetry Conditions - begin fixed displacement - node set = nset_3 - components = x y z - end fixed displacement - - begin fixed displacement - node set = nset_5 - components = x z - end fixed displacement - - - ### -------------------------------------------------- - ### Solver definition - ### -------------------------------------------------- - - begin adaptive time stepping - cutback factor = 0.80 - growth factor = 1.05 - maximum failure cutbacks = 30 - target iterations = 100 - iteration window = 50 - minimum multiplier = 1.0e-3 - maximum multiplier = {1*ceil(1./dt0)} during pload - #maximum multiplier = {0.1*ceil(1./dt0)} during ploadcy2 - end adaptive time stepping - - begin solver - - begin loadstep predictor - type = scale_factor - scale factor = 0.0, 1.0 - end loadstep predictor - - begin cg - target relative residual = 1.0e-10 - target residual = 1.0e-6 - acceptable relative residual = 1.0E-7 - acceptable residual = 1.0E-5 - Maximum Iterations = 200 - Line Search secant - iteration print = 10 - - begin full tangent preconditioner - linear solver = feti - #tangent diagonal scale = 1e-6 - #iteration update = 50 - maximum updates for modelproblem= 1 - small number of iterations = 50 - end full tangent preconditioner - end cg - - end solver - - end adagio region adagio_region - end adagio procedure adagio_procedure -end sierra IsothermalCompression15pcf diff --git a/examples/forward_problems/mechanics/validation/dd_solver.dat b/examples/forward_problems/mechanics/validation/dd_solver.dat new file mode 100644 index 0000000..8e350b8 --- /dev/null +++ b/examples/forward_problems/mechanics/validation/dd_solver.dat @@ -0,0 +1,365 @@ +Notice: single processor solver parameters may overide those specified for parallel runs +****************************************************************** +--- domain decomposition solver summary --- +preconditioner = GDSW +Krylov method = Right GMRES (gmresClassic) +solver option = Esmond +number of processors = 1 +total number of unknowns = 5364 +minimum subdomain size = 5364 +maximum subdomain size = 5364 +number of Type 1 constraints = 0 +number of Type 2 constraints = 0 +max depend dofs for master dof = -1 +overlap = 0 +using interface preconditioner = no +coarse correction = none +solver tolerance = 0.001 +maximum number of iterations = 11 +maximum number of restarts = 1 +maximum stored directions = 0 +linear solver execution space = host +orthogonalization execution space= host +solving scaled problem = no +operator diagonal magnitudes ---------------- +min at node 79 = 0.00788451 +max at node 1386 = 0.203457 +max/min = 25.8047 +Rigid Body Norm for Mode 1 = 0.000442006 +Rigid Body Norm for Mode 2 = 0.00285387 +Rigid Body Norm for Mode 3 = 0.000978119 +Rigid Body Norm for Mode 4 = 0.0016062 +Rigid Body Norm for Mode 5 = 0.000960239 +Rigid Body Norm for Mode 6 = 0.00211161 +maximum overlap rows = 0 +coarse space type = large +number of coarse levels = 0 +solver initialization time = 0.061811 seconds + Recursive Actual + Relative Relative +Solve Iter Total Avg Residual Residual CPU (s) Total (s) Avg (s) + 1 1 1 1 9.29285e-14 8.11513e-14 0.00868984 0.00868984 0.00868984 + 2 1 2 1 1.4045e-13 2.25785e-13 0.00900047 0.0176903 0.00884515 + 3 1 3 1 7.0852e-13 7.23354e-13 0.00894206 0.0266324 0.00887746 + 4 1 4 1 3.16781e-13 3.21464e-13 0.00909493 0.0357273 0.00893183 + 5 1 5 1 2.27338e-13 2.1741e-13 0.00932895 0.0450563 0.00901125 + 6 1 6 1 5.08703e-13 7.27628e-13 0.00956523 0.0546215 0.00910358 + 7 1 7 1 1.79078e-13 1.77403e-13 0.009422 0.0640435 0.00914907 + 8 1 8 1 5.1799e-13 2.18586e-13 0.00915863 0.0732021 0.00915026 + 9 1 9 1 4.43592e-13 4.01357e-13 0.00911893 0.082321 0.00914678 + 10 1 10 1 4.70199e-13 2.50813e-13 0.00964925 0.0919703 0.00919703 + 11 1 11 1 2.49791e-13 2.83146e-13 0.00935721 0.101328 0.00921159 + 12 1 12 1 8.12858e-13 3.05329e-13 0.00974196 0.111069 0.00925579 + 13 1 13 1 7.10545e-14 3.92345e-14 0.00928712 0.120357 0.0092582 + 14 1 14 1 3.22477e-13 2.96324e-13 0.00900424 0.129361 0.00924006 + 15 1 15 1 1.13412e-12 1.01644e-12 0.00903002 0.138391 0.00922606 + 16 1 16 1 2.09041e-12 1.79181e-12 0.0092679 0.147659 0.00922867 + 17 1 17 1 6.57839e-13 8.87394e-13 0.00987924 0.157538 0.00926694 + 18 1 18 1 1.04279e-12 6.89133e-13 0.00901555 0.166554 0.00925297 + 19 1 19 1 1.0846e-12 1.15252e-12 0.00940249 0.175956 0.00926084 + 20 1 20 1 1.2258e-13 1.47523e-13 0.00905941 0.185015 0.00925077 + 21 1 21 1 1.15807e-13 1.43773e-13 0.00897446 0.19399 0.00923761 + 22 1 22 1 1.5737e-12 6.44484e-13 0.00899577 0.202986 0.00922662 + 23 1 23 1 1.30519e-12 8.44529e-13 0.00913155 0.212117 0.00922249 + 24 1 24 1 7.46997e-13 7.91955e-13 0.00934731 0.221465 0.00922769 + 25 1 25 1 8.69542e-13 1.01387e-12 0.00898099 0.230446 0.00921782 + 26 1 26 1 1.05852e-12 1.18794e-12 0.00893818 0.239384 0.00920707 + 27 1 27 1 8.01914e-13 9.59565e-13 0.00894003 0.248324 0.00919718 + 28 1 28 1 9.21694e-13 1.0592e-12 0.00891246 0.257236 0.00918701 + 29 1 29 1 6.02078e-13 5.80166e-13 0.00902387 0.26626 0.00918138 + 30 1 30 1 4.37497e-13 6.04967e-13 0.00892049 0.275181 0.00917269 + 31 1 31 1 3.70011e-13 3.94165e-13 0.00913761 0.284318 0.00917155 + 32 1 32 1 5.57826e-13 4.1347e-13 0.00904531 0.293363 0.00916761 + 33 1 33 1 3.79127e-13 5.79821e-13 0.00884952 0.302213 0.00915797 + 34 1 34 1 2.63151e-13 4.14047e-13 0.00897 0.311183 0.00915244 + 35 1 35 1 3.34895e-13 4.01777e-13 0.00896128 0.320144 0.00914698 + 36 1 36 1 1.12024e-12 1.02756e-12 0.0089653 0.32911 0.00914193 + 37 1 37 1 7.06859e-13 7.46746e-13 0.00904402 0.338154 0.00913929 + 38 1 38 1 4.80127e-13 5.40978e-13 0.0089808 0.347134 0.00913512 + 39 1 39 1 3.79122e-13 3.37393e-13 0.00899162 0.356126 0.00913144 + 40 1 40 1 8.41996e-13 5.80863e-13 0.00915066 0.365277 0.00913192 + 41 1 41 1 9.8611e-13 9.52147e-13 0.0100506 0.375327 0.00915432 + 42 1 42 1 7.8613e-13 1.4983e-12 0.00919687 0.384524 0.00915534 +total time for overlap preconditioner (seconds) = 0.35138 +Notice: single processor solver parameters may overide those specified for parallel runs +****************************************************************** +--- domain decomposition solver summary --- +preconditioner = GDSW +Krylov method = Right GMRES (gmresClassic) +solver option = Esmond +number of processors = 1 +total number of unknowns = 5364 +minimum subdomain size = 5364 +maximum subdomain size = 5364 +number of Type 1 constraints = 0 +number of Type 2 constraints = 0 +max depend dofs for master dof = -1 +overlap = 0 +using interface preconditioner = no +coarse correction = none +solver tolerance = 0.001 +maximum number of iterations = 11 +maximum number of restarts = 1 +maximum stored directions = 0 +linear solver execution space = host +orthogonalization execution space= host +solving scaled problem = no +operator diagonal magnitudes ---------------- +min at node 54 = 0.00649214 +max at node 1059 = 0.173917 +max/min = 26.7888 +Rigid Body Norm for Mode 1 = 0.000347297 +Rigid Body Norm for Mode 2 = 0.00217378 +Rigid Body Norm for Mode 3 = 0.000319246 +Rigid Body Norm for Mode 4 = 0.000446391 +Rigid Body Norm for Mode 5 = 0.000324579 +Rigid Body Norm for Mode 6 = 0.00148783 +maximum overlap rows = 0 +coarse space type = large +number of coarse levels = 0 +solver initialization time = 0.062657 seconds + Recursive Actual + Relative Relative +Solve Iter Total Avg Residual Residual CPU (s) Total (s) Avg (s) + 1 1 1 1 4.65166e-15 4.20151e-15 0.00902876 0.00902876 0.00902876 + 2 1 2 1 1.32601e-15 1.34444e-15 0.00955125 0.01858 0.00929001 + 3 1 3 1 7.94001e-15 8.12752e-15 0.00983847 0.0284185 0.00947283 + 4 1 4 1 1.53714e-15 1.69659e-15 0.00932554 0.037744 0.00943601 + 5 1 5 1 3.10262e-15 3.17229e-15 0.0091464 0.0468904 0.00937809 + 6 1 6 1 1.11846e-15 1.12399e-15 0.00942343 0.0563139 0.00938564 + 7 1 7 1 3.63351e-15 3.66328e-15 0.0105389 0.0668528 0.00955039 + 8 1 8 1 5.43859e-15 5.51806e-15 0.00956254 0.0764153 0.00955191 + 9 1 9 1 8.02796e-15 8.02818e-15 0.00921967 0.085635 0.009515 + 10 1 10 1 8.92198e-16 9.01721e-16 0.00890239 0.0945374 0.00945374 + 11 1 11 1 4.30818e-15 3.9574e-15 0.00931512 0.103852 0.00944113 + 12 1 12 1 1.56659e-15 1.59299e-15 0.00987828 0.113731 0.00947756 + 13 1 13 1 3.03775e-15 2.83521e-15 0.00915121 0.122882 0.00945246 + 14 1 14 1 1.29633e-15 1.3052e-15 0.00930599 0.132188 0.009442 + 15 1 15 1 1.01945e-15 1.00795e-15 0.00919198 0.14138 0.00942533 + 16 1 16 1 2.27566e-15 2.3025e-15 0.00970356 0.151084 0.00944272 + 17 1 17 1 1.28069e-15 1.30868e-15 0.0089847 0.160068 0.00941578 + 18 1 18 1 6.50066e-16 6.38587e-16 0.00889852 0.168967 0.00938704 + 19 1 19 1 3.61459e-15 3.68633e-15 0.00922786 0.178195 0.00937866 + 20 1 20 1 2.48482e-15 2.3718e-15 0.00908128 0.187276 0.00936379 + 21 1 21 1 1.8008e-15 1.77139e-15 0.00921917 0.196495 0.00935691 + 22 1 22 1 1.89443e-15 1.82433e-15 0.00937197 0.205867 0.00935759 + 23 1 23 1 1.45451e-15 1.39368e-15 0.00904233 0.214909 0.00934388 + 24 1 24 1 2.39015e-15 2.40961e-15 0.00914373 0.224053 0.00933554 + 25 1 25 1 1.00042e-15 1.01453e-15 0.00949962 0.233553 0.00934211 + 26 1 26 1 1.47678e-15 1.4743e-15 0.00904709 0.2426 0.00933076 + 27 1 27 1 1.14367e-15 1.19144e-15 0.0090271 0.251627 0.00931951 + 28 1 28 1 6.81743e-16 6.96581e-16 0.00888346 0.26051 0.00930394 + 29 1 29 1 3.12194e-15 2.88765e-15 0.00899981 0.26951 0.00929345 + 30 1 30 1 2.70334e-15 2.63839e-15 0.00914482 0.278655 0.0092885 + 31 1 31 1 1.04523e-15 1.04953e-15 0.0091499 0.287805 0.00928403 + 32 1 32 1 1.99396e-15 2.0579e-15 0.00896435 0.296769 0.00927404 + 33 1 33 1 1.47644e-15 1.44076e-15 0.00949355 0.306263 0.00928069 + 34 1 34 1 1.29207e-15 1.26022e-15 0.00917224 0.315435 0.0092775 + 35 1 35 1 1.42002e-15 1.36062e-15 0.00923011 0.324665 0.00927615 + 36 1 36 1 1.50823e-15 1.52134e-15 0.00930971 0.333975 0.00927708 + 37 1 37 1 9.41182e-16 9.97991e-16 0.00918107 0.343156 0.00927448 + 38 1 38 1 1.17216e-15 1.15505e-15 0.00923588 0.352392 0.00927347 + 39 1 39 1 1.19794e-15 1.1553e-15 0.00907834 0.36147 0.00926847 + 40 1 40 1 8.34388e-16 8.23663e-16 0.00890443 0.370375 0.00925936 + 41 1 41 1 2.7446e-15 2.52748e-15 0.00903923 0.379414 0.00925399 + 42 1 42 1 2.85833e-15 2.97557e-15 0.00905256 0.388466 0.0092492 + 43 1 43 1 1.52792e-15 1.5957e-15 0.00916638 0.397633 0.00924727 + 44 1 44 1 1.54895e-15 1.50458e-15 0.0098414 0.407474 0.00926078 + 45 1 45 1 1.71515e-15 1.73682e-15 0.00903821 0.416512 0.00925583 + 46 1 46 1 1.55936e-15 1.49082e-15 0.00926601 0.425778 0.00925605 + 47 1 47 1 2.12843e-15 2.10257e-15 0.0091558 0.434934 0.00925392 + 48 1 48 1 9.87498e-16 9.8613e-16 0.00918049 0.444115 0.00925239 + 49 1 49 1 1.56293e-15 1.64898e-15 0.00909144 0.453206 0.0092491 + 50 1 50 1 1.21435e-15 1.22732e-15 0.00924873 0.462455 0.0092491 + 51 1 51 1 1.18778e-15 1.28055e-15 0.0090968 0.471552 0.00924611 + 52 1 52 1 1.04102e-15 1.04172e-15 0.00906222 0.480614 0.00924257 + 53 1 53 1 7.32371e-16 7.35781e-16 0.00926723 0.489881 0.00924304 + 54 1 54 1 9.98379e-16 1.05161e-15 0.00884403 0.498725 0.00923565 + 55 1 55 1 2.35472e-15 2.26544e-15 0.00913943 0.507865 0.0092339 + 56 1 56 1 3.05118e-15 3.01116e-15 0.00906176 0.516926 0.00923083 + 57 1 57 1 2.2494e-15 2.36637e-15 0.0090682 0.525994 0.00922797 + 58 1 58 1 1.00599e-15 1.04701e-15 0.00905526 0.53505 0.009225 + 59 1 59 1 2.1389e-15 2.06833e-15 0.00962118 0.544671 0.00923171 + 60 1 60 1 1.83525e-15 1.72032e-15 0.00912326 0.553794 0.0092299 + 61 1 61 1 1.33158e-15 1.23476e-15 0.00915004 0.562944 0.00922859 + 62 1 62 1 1.17067e-15 1.21579e-15 0.00910373 0.572048 0.00922658 + 63 1 63 1 1.37293e-15 1.30634e-15 0.00917581 0.581224 0.00922577 + 64 1 64 1 1.23378e-15 1.2027e-15 0.0092804 0.590504 0.00922663 + 65 1 65 1 9.96923e-16 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2.3942e-15 2.3384e-15 0.00890532 2.14544 0.00940984 + 229 1 229 1 2.81238e-15 2.88435e-15 0.00982887 2.15527 0.00941166 + 230 1 230 1 1.52079e-15 1.49964e-15 0.00975838 2.16503 0.00941317 + 231 1 231 1 2.311e-15 2.33244e-15 0.009307 2.17434 0.00941271 + 232 1 232 1 1.7491e-15 1.74954e-15 0.00914192 2.18348 0.00941155 + 233 1 233 1 1.29658e-15 1.33806e-15 0.0091203 2.1926 0.0094103 + 234 1 234 1 1.32495e-15 1.297e-15 0.00916059 2.20176 0.00940923 + 235 1 235 1 2.27646e-15 2.23409e-15 0.00905047 2.21081 0.0094077 + 236 1 236 1 2.77734e-15 2.90163e-15 0.00987829 2.22069 0.0094097 + 237 1 237 1 1.40846e-15 1.3462e-15 0.00940169 2.23009 0.00940966 + 238 1 238 1 1.8116e-15 1.92453e-15 0.00951357 2.2396 0.0094101 + 239 1 239 1 1.64173e-15 1.63628e-15 0.0090291 2.24863 0.0094085 + 240 1 240 1 1.13716e-15 1.12956e-15 0.00908713 2.25772 0.00940717 + 241 1 241 1 1.51703e-15 1.50716e-15 0.00897174 2.26669 0.00940536 +total time for overlap preconditioner (seconds) = 2.07287 diff --git a/examples/forward_problems/mechanics/validation/global_data.csv b/examples/forward_problems/mechanics/validation/global_data.csv new file mode 100644 index 0000000..bebd400 --- /dev/null +++ b/examples/forward_problems/mechanics/validation/global_data.csv @@ -0,0 +1,24 @@ +times,disps,forces +0.0,0.0,0.0 +0.09090909090909091,0.09090909090909095,0.022605789793851673 +0.18181818181818182,0.1818181818181819,0.03947490650324488 +0.2727272727272727,0.27272727272727265,0.05225270159108371 +0.36363636363636365,0.3636363636363638,0.06226326116268442 +0.4545454545454546,0.4545454545454547,0.07043557325102609 +0.5454545454545454,0.5454545454545456,0.07738954110354708 +0.6363636363636364,0.6363636363636364,0.08352906975259315 +0.7272727272727273,0.7272727272727276,0.08911584215326708 +0.8181818181818182,0.818181818181818,0.09431867697442234 +0.9090909090909092,0.9090909090909094,0.09924791298067291 +1.0,1.0,0.10397390245967524 +1.0909090909090908,1.0,0.10090471247756783 +1.1818181818181817,1.0,0.09862620655867475 +1.2727272727272727,1.0,0.09693433369858935 +1.3636363636363635,1.0,0.09567721868550211 +1.4545454545454546,1.0,0.0947430195209092 +1.5454545454545454,1.0,0.09404852999748947 +1.6363636363636362,1.0,0.0935315540310408 +1.7272727272727273,1.0,0.09314667275524344 +1.8181818181818181,1.0,0.09285967507857966 +1.9090909090909092,1.0,0.09264557366783202 +2.0,1.0,0.09248570454400146 diff --git a/examples/forward_problems/mechanics/validation/krylov_solver.dat b/examples/forward_problems/mechanics/validation/krylov_solver.dat new file mode 100644 index 0000000..90341c5 --- /dev/null +++ b/examples/forward_problems/mechanics/validation/krylov_solver.dat @@ -0,0 +1,1415 @@ +initial residual = 0.306383 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.29285e-14 +recursive final residual = 2.84717e-14 +actual final residual = 2.48634e-14 +elapsed time for this solve (seconds) = 0.00868984 +initial residual = 0.26163 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.4045e-13 +recursive final residual = 3.6746e-14 +actual final residual = 5.90723e-14 +elapsed time for this solve (seconds) = 0.00900047 +initial residual = 0.242807 +Right GMRES iteration 1 of maxIter = 11: relative residual = 7.0852e-13 +recursive final residual = 1.72034e-13 +actual final residual = 1.75636e-13 +elapsed time for this solve (seconds) = 0.00894206 +initial residual = 0.227135 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.16781e-13 +recursive final residual = 7.19522e-14 +actual final residual = 7.30158e-14 +elapsed time for this solve (seconds) = 0.00909493 +initial residual = 0.230998 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.27338e-13 +recursive final residual = 5.25147e-14 +actual final residual = 5.02213e-14 +elapsed time for this solve (seconds) = 0.00932895 +initial residual = 0.229143 +Right GMRES iteration 1 of maxIter = 11: relative residual = 5.08703e-13 +recursive final residual = 1.16566e-13 +actual final residual = 1.66731e-13 +elapsed time for this solve (seconds) = 0.00956523 +initial residual = 0.229985 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.79078e-13 +recursive final residual = 4.11852e-14 +actual final residual = 4.07999e-14 +elapsed time for this solve (seconds) = 0.009422 +initial residual = 0.229644 +Right GMRES iteration 1 of maxIter = 11: relative residual = 5.1799e-13 +recursive final residual = 1.18953e-13 +actual final residual = 5.01968e-14 +elapsed time for this solve (seconds) = 0.00915863 +initial residual = 0.229795 +Right GMRES iteration 1 of maxIter = 11: relative residual = 4.43592e-13 +recursive final residual = 1.01935e-13 +actual final residual = 9.22298e-14 +elapsed time for this solve (seconds) = 0.00911893 +initial residual = 0.22973 +Right GMRES iteration 1 of maxIter = 11: relative residual = 4.70199e-13 +recursive final residual = 1.08019e-13 +actual final residual = 5.76192e-14 +elapsed time for this solve (seconds) = 0.00964925 +initial residual = 0.229758 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.49791e-13 +recursive final residual = 5.73914e-14 +actual final residual = 6.50549e-14 +elapsed time for this solve (seconds) = 0.00935721 +initial residual = 0.229746 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.12858e-13 +recursive final residual = 1.8675e-13 +actual final residual = 7.01479e-14 +elapsed time for this solve (seconds) = 0.00974196 +initial residual = 0.00549574 +Right GMRES iteration 1 of maxIter = 11: relative residual = 7.10545e-14 +recursive final residual = 3.90497e-16 +actual final residual = 2.15623e-16 +elapsed time for this solve (seconds) = 0.00928712 +initial residual = 0.00251139 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.22477e-13 +recursive final residual = 8.09866e-16 +actual final residual = 7.44184e-16 +elapsed time for this solve (seconds) = 0.00900424 +initial residual = 0.00238786 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.13412e-12 +recursive final residual = 2.70811e-15 +actual final residual = 2.42712e-15 +elapsed time for this solve (seconds) = 0.00903002 +initial residual = 0.00188154 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.09041e-12 +recursive final residual = 3.93321e-15 +actual final residual = 3.37137e-15 +elapsed time for this solve (seconds) = 0.0092679 +initial residual = 0.00187626 +Right GMRES iteration 1 of maxIter = 11: relative residual = 6.57839e-13 +recursive final residual = 1.23428e-15 +actual final residual = 1.66498e-15 +elapsed time for this solve (seconds) = 0.00987924 +initial residual = 0.00185489 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.04279e-12 +recursive final residual = 1.93427e-15 +actual final residual = 1.27827e-15 +elapsed time for this solve (seconds) = 0.00901555 +initial residual = 0.00181464 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.0846e-12 +recursive final residual = 1.96817e-15 +actual final residual = 2.09141e-15 +elapsed time for this solve (seconds) = 0.00940249 +initial residual = 0.00177834 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.2258e-13 +recursive final residual = 2.17989e-16 +actual final residual = 2.62347e-16 +elapsed time for this solve (seconds) = 0.00905941 +initial residual = 0.00178563 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.15807e-13 +recursive final residual = 2.06789e-16 +actual final residual = 2.56727e-16 +elapsed time for this solve (seconds) = 0.00897446 +initial residual = 0.00163374 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.5737e-12 +recursive final residual = 2.57101e-15 +actual final residual = 1.05292e-15 +elapsed time for this solve (seconds) = 0.00899577 +initial residual = 0.00148799 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.30519e-12 +recursive final residual = 1.9421e-15 +actual final residual = 1.25665e-15 +elapsed time for this solve (seconds) = 0.00913155 +initial residual = 0.00132008 +Right GMRES iteration 1 of maxIter = 11: relative residual = 7.46997e-13 +recursive final residual = 9.86099e-16 +actual final residual = 1.04545e-15 +elapsed time for this solve (seconds) = 0.00934731 +initial residual = 0.00127682 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.69542e-13 +recursive final residual = 1.11025e-15 +actual final residual = 1.29453e-15 +elapsed time for this solve (seconds) = 0.00898099 +initial residual = 0.00127165 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.05852e-12 +recursive final residual = 1.34607e-15 +actual final residual = 1.51065e-15 +elapsed time for this solve (seconds) = 0.00893818 +initial residual = 0.0011502 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.01914e-13 +recursive final residual = 9.22363e-16 +actual final residual = 1.10369e-15 +elapsed time for this solve (seconds) = 0.00894003 +initial residual = 0.00114436 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.21694e-13 +recursive final residual = 1.05475e-15 +actual final residual = 1.2121e-15 +elapsed time for this solve (seconds) = 0.00891246 +initial residual = 0.00111528 +Right GMRES iteration 1 of maxIter = 11: relative residual = 6.02078e-13 +recursive final residual = 6.71483e-16 +actual final residual = 6.47046e-16 +elapsed time for this solve (seconds) = 0.00902387 +initial residual = 0.00112021 +Right GMRES iteration 1 of maxIter = 11: relative residual = 4.37497e-13 +recursive final residual = 4.90089e-16 +actual final residual = 6.77692e-16 +elapsed time for this solve (seconds) = 0.00892049 +initial residual = 0.00111229 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.70011e-13 +recursive final residual = 4.11558e-16 +actual final residual = 4.38425e-16 +elapsed time for this solve (seconds) = 0.00913761 +initial residual = 0.00110178 +Right GMRES iteration 1 of maxIter = 11: relative residual = 5.57826e-13 +recursive final residual = 6.14603e-16 +actual final residual = 4.55555e-16 +elapsed time for this solve (seconds) = 0.00904531 +initial residual = 0.00110118 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.79127e-13 +recursive final residual = 4.17487e-16 +actual final residual = 6.38487e-16 +elapsed time for this solve (seconds) = 0.00884952 +initial residual = 0.00109973 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.63151e-13 +recursive final residual = 2.89394e-16 +actual final residual = 4.55339e-16 +elapsed time for this solve (seconds) = 0.00897 +initial residual = 0.00110251 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.34895e-13 +recursive final residual = 3.69227e-16 +actual final residual = 4.42964e-16 +elapsed time for this solve (seconds) = 0.00896128 +initial residual = 0.00109395 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.12024e-12 +recursive final residual = 1.22549e-15 +actual final residual = 1.1241e-15 +elapsed time for this solve (seconds) = 0.0089653 +initial residual = 0.00109787 +Right GMRES iteration 1 of maxIter = 11: relative residual = 7.06859e-13 +recursive final residual = 7.76041e-16 +actual final residual = 8.19832e-16 +elapsed time for this solve (seconds) = 0.00904402 +initial residual = 0.00107421 +Right GMRES iteration 1 of maxIter = 11: relative residual = 4.80127e-13 +recursive final residual = 5.15758e-16 +actual final residual = 5.81124e-16 +elapsed time for this solve (seconds) = 0.0089808 +initial residual = 0.00105853 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.79122e-13 +recursive final residual = 4.01313e-16 +actual final residual = 3.57142e-16 +elapsed time for this solve (seconds) = 0.00899162 +initial residual = 0.00105183 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.41996e-13 +recursive final residual = 8.85636e-16 +actual final residual = 6.10968e-16 +elapsed time for this solve (seconds) = 0.00915066 +initial residual = 0.00105303 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.8611e-13 +recursive final residual = 1.0384e-15 +actual final residual = 1.00264e-15 +elapsed time for this solve (seconds) = 0.0100506 +initial residual = 0.00106949 +Right GMRES iteration 1 of maxIter = 11: relative residual = 7.8613e-13 +recursive final residual = 8.40757e-16 +actual final residual = 1.60242e-15 +elapsed time for this solve (seconds) = 0.00919687 +initial residual = 0.00106959 +Right GMRES iteration 1 of maxIter = 11: relative residual = 4.65166e-15 +recursive final residual = 4.97538e-18 +actual final residual = 4.4939e-18 +elapsed time for this solve (seconds) = 0.00902876 +initial residual = 4.13488e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.32601e-15 +recursive final residual = 5.48291e-20 +actual final residual = 5.55908e-20 +elapsed time for this solve (seconds) = 0.00955125 +initial residual = 1.54439e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 7.94001e-15 +recursive final residual = 1.22625e-20 +actual final residual = 1.2552e-20 +elapsed time for this solve (seconds) = 0.00983847 +initial residual = 0.005505 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.53714e-15 +recursive final residual = 8.46195e-18 +actual final residual = 9.33972e-18 +elapsed time for this solve (seconds) = 0.00932554 +initial residual = 0.000575702 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.10262e-15 +recursive final residual = 1.78618e-18 +actual final residual = 1.82629e-18 +elapsed time for this solve (seconds) = 0.0091464 +initial residual = 0.000181699 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.11846e-15 +recursive final residual = 2.03222e-19 +actual final residual = 2.04228e-19 +elapsed time for this solve (seconds) = 0.00942343 +initial residual = 2.72521e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.63351e-15 +recursive final residual = 9.90207e-20 +actual final residual = 9.98321e-20 +elapsed time for this solve (seconds) = 0.0105389 +initial residual = 5.15071e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 5.43859e-15 +recursive final residual = 2.80126e-20 +actual final residual = 2.84219e-20 +elapsed time for this solve (seconds) = 0.00956254 +initial residual = 1.41041e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.02796e-15 +recursive final residual = 1.13227e-20 +actual final residual = 1.1323e-20 +elapsed time for this solve (seconds) = 0.00921967 +initial residual = 0.0056532 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.92198e-16 +recursive final residual = 5.04377e-18 +actual final residual = 5.09761e-18 +elapsed time for this solve (seconds) = 0.00890239 +initial residual = 0.000770371 +Right GMRES iteration 1 of maxIter = 11: relative residual = 4.30818e-15 +recursive final residual = 3.3189e-18 +actual final residual = 3.04867e-18 +elapsed time for this solve (seconds) = 0.00931512 +initial residual = 0.000417298 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.56659e-15 +recursive final residual = 6.53735e-19 +actual final residual = 6.64753e-19 +elapsed time for this solve (seconds) = 0.00987828 +initial residual = 0.000108548 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.03775e-15 +recursive final residual = 3.29742e-19 +actual final residual = 3.07757e-19 +elapsed time for this solve (seconds) = 0.00915121 +initial residual = 3.56644e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.29633e-15 +recursive final residual = 4.62329e-20 +actual final residual = 4.6549e-20 +elapsed time for this solve (seconds) = 0.00930599 +initial residual = 1.49049e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.01945e-15 +recursive final residual = 1.51947e-20 +actual final residual = 1.50233e-20 +elapsed time for this solve (seconds) = 0.00919198 +initial residual = 4.03129e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.27566e-15 +recursive final residual = 9.17384e-21 +actual final residual = 9.28203e-21 +elapsed time for this solve (seconds) = 0.00970356 +initial residual = 1.50338e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.28069e-15 +recursive final residual = 1.92537e-21 +actual final residual = 1.96744e-21 +elapsed time for this solve (seconds) = 0.0089847 +initial residual = 0.00556915 +Right GMRES iteration 1 of maxIter = 11: relative residual = 6.50066e-16 +recursive final residual = 3.62031e-18 +actual final residual = 3.55638e-18 +elapsed time for this solve (seconds) = 0.00889852 +initial residual = 0.000959485 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.61459e-15 +recursive final residual = 3.46815e-18 +actual final residual = 3.53698e-18 +elapsed time for this solve (seconds) = 0.00922786 +initial residual = 0.000538831 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.48482e-15 +recursive final residual = 1.3389e-18 +actual final residual = 1.278e-18 +elapsed time for this solve (seconds) = 0.00908128 +initial residual = 0.000212975 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.8008e-15 +recursive final residual = 3.83524e-19 +actual final residual = 3.77261e-19 +elapsed time for this solve (seconds) = 0.00921917 +initial residual = 7.67166e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.89443e-15 +recursive final residual = 1.45334e-19 +actual final residual = 1.39956e-19 +elapsed time for this solve (seconds) = 0.00937197 +initial residual = 4.68895e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.45451e-15 +recursive final residual = 6.82014e-20 +actual final residual = 6.5349e-20 +elapsed time for this solve (seconds) = 0.00904233 +initial residual = 1.3449e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.39015e-15 +recursive final residual = 3.21451e-20 +actual final residual = 3.24068e-20 +elapsed time for this solve (seconds) = 0.00914373 +initial residual = 9.62116e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.00042e-15 +recursive final residual = 9.62515e-21 +actual final residual = 9.76097e-21 +elapsed time for this solve (seconds) = 0.00949962 +initial residual = 3.29448e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.47678e-15 +recursive final residual = 4.86521e-21 +actual final residual = 4.85706e-21 +elapsed time for this solve (seconds) = 0.00904709 +initial residual = 1.44021e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.14367e-15 +recursive final residual = 1.64713e-21 +actual final residual = 1.71592e-21 +elapsed time for this solve (seconds) = 0.0090271 +initial residual = 0.00533819 +Right GMRES iteration 1 of maxIter = 11: relative residual = 6.81743e-16 +recursive final residual = 3.63928e-18 +actual final residual = 3.71849e-18 +elapsed time for this solve (seconds) = 0.00888346 +initial residual = 0.00112061 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.12194e-15 +recursive final residual = 3.49848e-18 +actual final residual = 3.23593e-18 +elapsed time for this solve (seconds) = 0.00899981 +initial residual = 0.000558749 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.70334e-15 +recursive final residual = 1.51049e-18 +actual final residual = 1.4742e-18 +elapsed time for this solve (seconds) = 0.00914482 +initial residual = 0.000306594 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.04523e-15 +recursive final residual = 3.20461e-19 +actual final residual = 3.2178e-19 +elapsed time for this solve (seconds) = 0.0091499 +initial residual = 0.00012183 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.99396e-15 +recursive final residual = 2.42924e-19 +actual final residual = 2.50713e-19 +elapsed time for this solve (seconds) = 0.00896435 +initial residual = 8.14836e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.47644e-15 +recursive final residual = 1.20306e-19 +actual final residual = 1.17398e-19 +elapsed time for this solve (seconds) = 0.00949355 +initial residual = 3.27365e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.29207e-15 +recursive final residual = 4.22977e-20 +actual final residual = 4.1255e-20 +elapsed time for this solve (seconds) = 0.00917224 +initial residual = 1.97535e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.42002e-15 +recursive final residual = 2.80503e-20 +actual final residual = 2.68769e-20 +elapsed time for this solve (seconds) = 0.00923011 +initial residual = 9.82237e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.50823e-15 +recursive final residual = 1.48144e-20 +actual final residual = 1.49431e-20 +elapsed time for this solve (seconds) = 0.00930971 +initial residual = 5.34093e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.41182e-16 +recursive final residual = 5.02679e-21 +actual final residual = 5.3302e-21 +elapsed time for this solve (seconds) = 0.00918107 +initial residual = 2.60838e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.17216e-15 +recursive final residual = 3.05743e-21 +actual final residual = 3.01281e-21 +elapsed time for this solve (seconds) = 0.00923588 +initial residual = 1.31959e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.19794e-15 +recursive final residual = 1.58079e-21 +actual final residual = 1.52453e-21 +elapsed time for this solve (seconds) = 0.00907834 +initial residual = 0.00503865 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.34388e-16 +recursive final residual = 4.20419e-18 +actual final residual = 4.15015e-18 +elapsed time for this solve (seconds) = 0.00890443 +initial residual = 0.00122714 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.7446e-15 +recursive final residual = 3.368e-18 +actual final residual = 3.10156e-18 +elapsed time for this solve (seconds) = 0.00903923 +initial residual = 0.00054629 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.85833e-15 +recursive final residual = 1.56148e-18 +actual final residual = 1.62553e-18 +elapsed time for this solve (seconds) = 0.00905256 +initial residual = 0.000354728 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.52792e-15 +recursive final residual = 5.41995e-19 +actual final residual = 5.66041e-19 +elapsed time for this solve (seconds) = 0.00916638 +initial residual = 0.000170269 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.54895e-15 +recursive final residual = 2.63739e-19 +actual final residual = 2.56184e-19 +elapsed time for this solve (seconds) = 0.0098414 +initial residual = 9.54769e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.71515e-15 +recursive final residual = 1.63757e-19 +actual final residual = 1.65827e-19 +elapsed time for this solve (seconds) = 0.00903821 +initial residual = 7.43346e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.55936e-15 +recursive final residual = 1.15915e-19 +actual final residual = 1.1082e-19 +elapsed time for this solve (seconds) = 0.00926601 +initial residual = 2.80373e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.12843e-15 +recursive final residual = 5.96754e-20 +actual final residual = 5.89503e-20 +elapsed time for this solve (seconds) = 0.0091558 +initial residual = 2.58283e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.87498e-16 +recursive final residual = 2.55054e-20 +actual final residual = 2.54701e-20 +elapsed time for this solve (seconds) = 0.00918049 +initial residual = 1.27211e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.56293e-15 +recursive final residual = 1.98822e-20 +actual final residual = 2.09768e-20 +elapsed time for this solve (seconds) = 0.00909144 +initial residual = 6.79775e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.21435e-15 +recursive final residual = 8.25483e-21 +actual final residual = 8.34305e-21 +elapsed time for this solve (seconds) = 0.00924873 +initial residual = 4.23937e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.18778e-15 +recursive final residual = 5.03545e-21 +actual final residual = 5.4287e-21 +elapsed time for this solve (seconds) = 0.0090968 +initial residual = 1.99822e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.04102e-15 +recursive final residual = 2.08019e-21 +actual final residual = 2.08159e-21 +elapsed time for this solve (seconds) = 0.00906222 +initial residual = 1.26064e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 7.32371e-16 +recursive final residual = 9.23259e-22 +actual final residual = 9.27558e-22 +elapsed time for this solve (seconds) = 0.00926723 +initial residual = 0.00471885 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.98379e-16 +recursive final residual = 4.7112e-18 +actual final residual = 4.96241e-18 +elapsed time for this solve (seconds) = 0.00884403 +initial residual = 0.00128655 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.35472e-15 +recursive final residual = 3.02945e-18 +actual final residual = 2.91459e-18 +elapsed time for this solve (seconds) = 0.00913943 +initial residual = 0.000534826 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.05118e-15 +recursive final residual = 1.63185e-18 +actual final residual = 1.61045e-18 +elapsed time for this solve (seconds) = 0.00906176 +initial residual = 0.000357937 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.2494e-15 +recursive final residual = 8.05145e-19 +actual final residual = 8.47011e-19 +elapsed time for this solve (seconds) = 0.0090682 +initial residual = 0.000208777 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.00599e-15 +recursive final residual = 2.10027e-19 +actual final residual = 2.18592e-19 +elapsed time for this solve (seconds) = 0.00905526 +initial residual = 9.00544e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.1389e-15 +recursive final residual = 1.92617e-19 +actual final residual = 1.86262e-19 +elapsed time for this solve (seconds) = 0.00962118 +initial residual = 0.000103335 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.83525e-15 +recursive final residual = 1.89645e-19 +actual final residual = 1.77769e-19 +elapsed time for this solve (seconds) = 0.00912326 +initial residual = 4.8394e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.33158e-15 +recursive final residual = 6.44403e-20 +actual final residual = 5.97551e-20 +elapsed time for this solve (seconds) = 0.00915004 +initial residual = 3.74656e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.17067e-15 +recursive final residual = 4.38598e-20 +actual final residual = 4.55503e-20 +elapsed time for this solve (seconds) = 0.00910373 +initial residual = 2.27495e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.37293e-15 +recursive final residual = 3.12334e-20 +actual final residual = 2.97185e-20 +elapsed time for this solve (seconds) = 0.00917581 +initial residual = 1.27501e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.23378e-15 +recursive final residual = 1.57308e-20 +actual final residual = 1.53345e-20 +elapsed time for this solve (seconds) = 0.0092804 +initial residual = 8.849e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.96923e-16 +recursive final residual = 8.82178e-21 +actual final residual = 9.40267e-21 +elapsed time for this solve (seconds) = 0.0100661 +initial residual = 4.86082e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.32217e-15 +recursive final residual = 6.42683e-21 +actual final residual = 6.32645e-21 +elapsed time for this solve (seconds) = 0.00952648 +initial residual = 2.6621e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.30788e-15 +recursive final residual = 3.4817e-21 +actual final residual = 3.40766e-21 +elapsed time for this solve (seconds) = 0.00947068 +initial residual = 1.82438e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.91238e-16 +recursive final residual = 1.80839e-21 +actual final residual = 1.74549e-21 +elapsed time for this solve (seconds) = 0.00962804 +initial residual = 1.01752e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.1997e-15 +recursive final residual = 1.22072e-21 +actual final residual = 1.19206e-21 +elapsed time for this solve (seconds) = 0.00997565 +initial residual = 0.00440456 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.19519e-15 +recursive final residual = 5.26431e-18 +actual final residual = 5.18668e-18 +elapsed time for this solve (seconds) = 0.00962572 +initial residual = 0.00131204 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.13181e-15 +recursive final residual = 2.79701e-18 +actual final residual = 2.71764e-18 +elapsed time for this solve (seconds) = 0.00985064 +initial residual = 0.000528174 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.93572e-15 +recursive final residual = 1.55057e-18 +actual final residual = 1.35122e-18 +elapsed time for this solve (seconds) = 0.00910376 +initial residual = 0.000339742 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.90007e-15 +recursive final residual = 9.85277e-19 +actual final residual = 9.90336e-19 +elapsed time for this solve (seconds) = 0.00927418 +initial residual = 0.000232727 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.05473e-16 +recursive final residual = 2.10728e-19 +actual final residual = 2.18071e-19 +elapsed time for this solve (seconds) = 0.0098381 +initial residual = 8.88985e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.20585e-15 +recursive final residual = 1.96096e-19 +actual final residual = 2.04688e-19 +elapsed time for this solve (seconds) = 0.00896935 +initial residual = 0.000105456 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.70479e-15 +recursive final residual = 1.79781e-19 +actual final residual = 1.75162e-19 +elapsed time for this solve (seconds) = 0.00995909 +initial residual = 6.4464e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.10928e-15 +recursive final residual = 7.15086e-20 +actual final residual = 6.81925e-20 +elapsed time for this solve (seconds) = 0.00932109 +initial residual = 4.61193e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.3093e-15 +recursive final residual = 6.03841e-20 +actual final residual = 5.85491e-20 +elapsed time for this solve (seconds) = 0.00934444 +initial residual = 3.16482e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.21183e-15 +recursive final residual = 3.83522e-20 +actual final residual = 3.74213e-20 +elapsed time for this solve (seconds) = 0.0093681 +initial residual = 2.07945e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.08712e-15 +recursive final residual = 2.26062e-20 +actual final residual = 2.32784e-20 +elapsed time for this solve (seconds) = 0.00954273 +initial residual = 1.3378e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.86428e-16 +recursive final residual = 1.31965e-20 +actual final residual = 1.27692e-20 +elapsed time for this solve (seconds) = 0.00894052 +initial residual = 8.59704e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.14585e-15 +recursive final residual = 9.85094e-21 +actual final residual = 9.70977e-21 +elapsed time for this solve (seconds) = 0.00964497 +initial residual = 5.24551e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.66872e-15 +recursive final residual = 8.7533e-21 +actual final residual = 8.76079e-21 +elapsed time for this solve (seconds) = 0.00903883 +initial residual = 3.31446e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.46646e-15 +recursive final residual = 4.86051e-21 +actual final residual = 4.76523e-21 +elapsed time for this solve (seconds) = 0.00896654 +initial residual = 2.13641e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.69359e-16 +recursive final residual = 2.07094e-21 +actual final residual = 2.07492e-21 +elapsed time for this solve (seconds) = 0.00946745 +initial residual = 1.38093e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.54831e-16 +recursive final residual = 1.18046e-21 +actual final residual = 1.16353e-21 +elapsed time for this solve (seconds) = 0.00937192 +initial residual = 0.0041076 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.30406e-15 +recursive final residual = 5.35656e-18 +actual final residual = 5.14132e-18 +elapsed time for this solve (seconds) = 0.00879427 +initial residual = 0.00131433 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.93873e-15 +recursive final residual = 2.54813e-18 +actual final residual = 2.63284e-18 +elapsed time for this solve (seconds) = 0.00962778 +initial residual = 0.000523206 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.70306e-15 +recursive final residual = 1.41425e-18 +actual final residual = 1.3803e-18 +elapsed time for this solve (seconds) = 0.0100932 +initial residual = 0.000316666 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.09089e-15 +recursive final residual = 9.78779e-19 +actual final residual = 1.01008e-18 +elapsed time for this solve (seconds) = 0.00942846 +initial residual = 0.000244986 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.09151e-15 +recursive final residual = 2.67404e-19 +actual final residual = 2.73876e-19 +elapsed time for this solve (seconds) = 0.00956396 +initial residual = 9.56992e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.10638e-15 +recursive final residual = 2.01579e-19 +actual final residual = 2.05762e-19 +elapsed time for this solve (seconds) = 0.00965562 +initial residual = 9.69314e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.58931e-15 +recursive final residual = 1.54054e-19 +actual final residual = 1.50711e-19 +elapsed time for this solve (seconds) = 0.0101728 +initial residual = 6.87446e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.17314e-15 +recursive final residual = 8.06468e-20 +actual final residual = 8.10061e-20 +elapsed time for this solve (seconds) = 0.00985289 +initial residual = 5.14891e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.35025e-15 +recursive final residual = 6.95228e-20 +actual final residual = 6.73647e-20 +elapsed time for this solve (seconds) = 0.00919782 +initial residual = 3.58121e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.13039e-15 +recursive final residual = 4.04817e-20 +actual final residual = 4.04126e-20 +elapsed time for this solve (seconds) = 0.00968348 +initial residual = 2.86665e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.08136e-15 +recursive final residual = 3.09989e-20 +actual final residual = 2.97675e-20 +elapsed time for this solve (seconds) = 0.0104467 +initial residual = 1.85399e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.34828e-16 +recursive final residual = 1.73316e-20 +actual final residual = 1.81132e-20 +elapsed time for this solve (seconds) = 0.0095445 +initial residual = 1.16014e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.06278e-16 +recursive final residual = 1.05141e-20 +actual final residual = 1.0331e-20 +elapsed time for this solve (seconds) = 0.00966737 +initial residual = 8.39039e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.59262e-15 +recursive final residual = 1.33627e-20 +actual final residual = 1.33768e-20 +elapsed time for this solve (seconds) = 0.00952209 +initial residual = 5.47002e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.58009e-15 +recursive final residual = 8.64311e-21 +actual final residual = 8.79325e-21 +elapsed time for this solve (seconds) = 0.00948717 +initial residual = 3.6849e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.27894e-15 +recursive final residual = 4.71278e-21 +actual final residual = 4.91718e-21 +elapsed time for this solve (seconds) = 0.00982246 +initial residual = 2.39453e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.27959e-15 +recursive final residual = 3.06403e-21 +actual final residual = 2.99732e-21 +elapsed time for this solve (seconds) = 0.00936053 +initial residual = 1.58171e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.52279e-16 +recursive final residual = 1.34806e-21 +actual final residual = 1.38727e-21 +elapsed time for this solve (seconds) = 0.00965405 +initial residual = 1.02123e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.46551e-15 +recursive final residual = 1.49662e-21 +actual final residual = 1.49801e-21 +elapsed time for this solve (seconds) = 0.00960586 +initial residual = 0.00383318 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.39608e-15 +recursive final residual = 5.35142e-18 +actual final residual = 5.48807e-18 +elapsed time for this solve (seconds) = 0.0098445 +initial residual = 0.001301 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.80935e-15 +recursive final residual = 2.35396e-18 +actual final residual = 2.41546e-18 +elapsed time for this solve (seconds) = 0.00945879 +initial residual = 0.000517165 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.44959e-15 +recursive final residual = 1.26684e-18 +actual final residual = 1.28311e-18 +elapsed time for this solve (seconds) = 0.00974351 +initial residual = 0.000295551 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.50703e-15 +recursive final residual = 1.03651e-18 +actual final residual = 1.03501e-18 +elapsed time for this solve (seconds) = 0.00935217 +initial residual = 0.000248704 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.24769e-15 +recursive final residual = 3.10305e-19 +actual final residual = 3.08509e-19 +elapsed time for this solve (seconds) = 0.00971018 +initial residual = 0.000106851 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.13697e-15 +recursive final residual = 2.28338e-19 +actual final residual = 2.15408e-19 +elapsed time for this solve (seconds) = 0.00990261 +initial residual = 8.97137e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.43074e-15 +recursive final residual = 1.28357e-19 +actual final residual = 1.27244e-19 +elapsed time for this solve (seconds) = 0.00970811 +initial residual = 6.56253e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.40133e-15 +recursive final residual = 9.19629e-20 +actual final residual = 9.64675e-20 +elapsed time for this solve (seconds) = 0.0127352 +initial residual = 5.35807e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.22985e-15 +recursive final residual = 6.58964e-20 +actual final residual = 6.5313e-20 +elapsed time for this solve (seconds) = 0.00980463 +initial residual = 3.5627e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.90769e-16 +recursive final residual = 3.52982e-20 +actual final residual = 3.6167e-20 +elapsed time for this solve (seconds) = 0.00952873 +initial residual = 3.21609e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.0258e-15 +recursive final residual = 3.29905e-20 +actual final residual = 3.26987e-20 +elapsed time for this solve (seconds) = 0.00977905 +initial residual = 2.34337e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.77591e-16 +recursive final residual = 2.29086e-20 +actual final residual = 2.24614e-20 +elapsed time for this solve (seconds) = 0.00968162 +initial residual = 1.41398e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.60534e-16 +recursive final residual = 1.35817e-20 +actual final residual = 1.38574e-20 +elapsed time for this solve (seconds) = 0.00924736 +initial residual = 1.07479e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.43206e-15 +recursive final residual = 1.53917e-20 +actual final residual = 1.44179e-20 +elapsed time for this solve (seconds) = 0.00954898 +initial residual = 7.8289e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.395e-15 +recursive final residual = 1.09213e-20 +actual final residual = 1.04404e-20 +elapsed time for this solve (seconds) = 0.00959943 +initial residual = 5.52702e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.34971e-15 +recursive final residual = 7.45987e-21 +actual final residual = 7.50432e-21 +elapsed time for this solve (seconds) = 0.0102237 +initial residual = 3.53771e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.57689e-15 +recursive final residual = 5.57859e-21 +actual final residual = 5.73127e-21 +elapsed time for this solve (seconds) = 0.00985883 +initial residual = 2.64659e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.07493e-15 +recursive final residual = 2.84491e-21 +actual final residual = 2.83825e-21 +elapsed time for this solve (seconds) = 0.00988736 +initial residual = 1.64446e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.38106e-15 +recursive final residual = 2.2711e-21 +actual final residual = 2.11063e-21 +elapsed time for this solve (seconds) = 0.0122089 +initial residual = 1.29858e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.25921e-15 +recursive final residual = 1.63518e-21 +actual final residual = 1.57144e-21 +elapsed time for this solve (seconds) = 0.00944395 +initial residual = 0.00294577 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.20342e-15 +recursive final residual = 6.49076e-18 +actual final residual = 6.69348e-18 +elapsed time for this solve (seconds) = 0.00898862 +initial residual = 0.00107779 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.63765e-15 +recursive final residual = 2.84284e-18 +actual final residual = 2.94816e-18 +elapsed time for this solve (seconds) = 0.00983662 +initial residual = 0.000638123 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.94406e-15 +recursive final residual = 1.24055e-18 +actual final residual = 1.22827e-18 +elapsed time for this solve (seconds) = 0.00970415 +initial residual = 0.00076761 +Right GMRES iteration 1 of maxIter = 11: relative residual = 6.90172e-16 +recursive final residual = 5.29783e-19 +actual final residual = 5.34484e-19 +elapsed time for this solve (seconds) = 0.0096562 +initial residual = 0.000503103 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.78056e-15 +recursive final residual = 8.95806e-19 +actual final residual = 9.09562e-19 +elapsed time for this solve (seconds) = 0.00907156 +initial residual = 0.000339089 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.53106e-15 +recursive final residual = 5.19166e-19 +actual final residual = 5.36745e-19 +elapsed time for this solve (seconds) = 0.00900639 +initial residual = 0.000228514 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.35214e-15 +recursive final residual = 3.08984e-19 +actual final residual = 3.09908e-19 +elapsed time for this solve (seconds) = 0.00911161 +initial residual = 0.000164945 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.55407e-15 +recursive final residual = 2.56336e-19 +actual final residual = 2.59745e-19 +elapsed time for this solve (seconds) = 0.00915383 +initial residual = 0.00011125 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.34837e-15 +recursive final residual = 1.50007e-19 +actual final residual = 1.4746e-19 +elapsed time for this solve (seconds) = 0.00907388 +initial residual = 9.86297e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.15341e-15 +recursive final residual = 1.13761e-19 +actual final residual = 1.16461e-19 +elapsed time for this solve (seconds) = 0.00898265 +initial residual = 6.49322e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.27764e-15 +recursive final residual = 8.29602e-20 +actual final residual = 8.25026e-20 +elapsed time for this solve (seconds) = 0.0091088 +initial residual = 4.54232e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.4707e-15 +recursive final residual = 6.68038e-20 +actual final residual = 6.95998e-20 +elapsed time for this solve (seconds) = 0.00906908 +initial residual = 3.4011e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.18001e-15 +recursive final residual = 4.01333e-20 +actual final residual = 4.05593e-20 +elapsed time for this solve (seconds) = 0.00914878 +initial residual = 2.30722e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.7635e-15 +recursive final residual = 4.06878e-20 +actual final residual = 4.12112e-20 +elapsed time for this solve (seconds) = 0.00908676 +initial residual = 1.66251e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.46607e-15 +recursive final residual = 2.43736e-20 +actual final residual = 2.41868e-20 +elapsed time for this solve (seconds) = 0.0090972 +initial residual = 1.1443e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.67581e-15 +recursive final residual = 1.91763e-20 +actual final residual = 1.86059e-20 +elapsed time for this solve (seconds) = 0.00916158 +initial residual = 9.87333e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.44866e-15 +recursive final residual = 1.43031e-20 +actual final residual = 1.49027e-20 +elapsed time for this solve (seconds) = 0.00902094 +initial residual = 6.49639e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.36915e-15 +recursive final residual = 8.89455e-21 +actual final residual = 8.60827e-21 +elapsed time for this solve (seconds) = 0.00903231 +initial residual = 4.96824e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.79806e-15 +recursive final residual = 8.9332e-21 +actual final residual = 9.08622e-21 +elapsed time for this solve (seconds) = 0.00903454 +initial residual = 3.39906e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.28154e-15 +recursive final residual = 4.35602e-21 +actual final residual = 4.2893e-21 +elapsed time for this solve (seconds) = 0.00980986 +initial residual = 2.42724e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.79915e-16 +recursive final residual = 2.37849e-21 +actual final residual = 2.463e-21 +elapsed time for this solve (seconds) = 0.00930334 +initial residual = 1.76094e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.5442e-15 +recursive final residual = 2.71924e-21 +actual final residual = 2.68576e-21 +elapsed time for this solve (seconds) = 0.0091859 +initial residual = 1.24843e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.27959e-16 +recursive final residual = 1.15849e-21 +actual final residual = 1.20707e-21 +elapsed time for this solve (seconds) = 0.00931729 +initial residual = 9.12061e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.31786e-15 +recursive final residual = 2.11403e-19 +actual final residual = 2.27726e-19 +elapsed time for this solve (seconds) = 0.00904646 +initial residual = 4.95989e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.50475e-15 +recursive final residual = 1.73832e-19 +actual final residual = 1.65704e-19 +elapsed time for this solve (seconds) = 0.00952704 +initial residual = 4.56354e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.46602e-15 +recursive final residual = 6.69025e-20 +actual final residual = 6.4525e-20 +elapsed time for this solve (seconds) = 0.00940592 +initial residual = 2.12118e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.60034e-15 +recursive final residual = 5.51579e-20 +actual final residual = 5.59408e-20 +elapsed time for this solve (seconds) = 0.00923537 +initial residual = 1.85582e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.72382e-15 +recursive final residual = 3.19909e-20 +actual final residual = 3.23149e-20 +elapsed time for this solve (seconds) = 0.00946796 +initial residual = 1.39743e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.38506e-15 +recursive final residual = 1.93552e-20 +actual final residual = 1.96605e-20 +elapsed time for this solve (seconds) = 0.00968303 +initial residual = 8.80683e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.93926e-15 +recursive final residual = 1.70788e-20 +actual final residual = 1.65456e-20 +elapsed time for this solve (seconds) = 0.00945445 +initial residual = 5.32775e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.15145e-15 +recursive final residual = 6.13462e-21 +actual final residual = 6.13263e-21 +elapsed time for this solve (seconds) = 0.00908638 +initial residual = 4.05243e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.85612e-15 +recursive final residual = 7.52179e-21 +actual final residual = 7.88745e-21 +elapsed time for this solve (seconds) = 0.00911592 +initial residual = 2.62327e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.11693e-15 +recursive final residual = 2.93001e-21 +actual final residual = 2.82949e-21 +elapsed time for this solve (seconds) = 0.0091664 +initial residual = 1.82989e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.01807e-15 +recursive final residual = 1.86296e-21 +actual final residual = 1.877e-21 +elapsed time for this solve (seconds) = 0.00952494 +initial residual = 1.23498e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.19446e-15 +recursive final residual = 1.47513e-21 +actual final residual = 1.44352e-21 +elapsed time for this solve (seconds) = 0.00922963 +initial residual = 7.98291e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.36125e-15 +recursive final residual = 1.88496e-19 +actual final residual = 2.00606e-19 +elapsed time for this solve (seconds) = 0.00957486 +initial residual = 4.14916e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.2035e-15 +recursive final residual = 1.32918e-19 +actual final residual = 1.35349e-19 +elapsed time for this solve (seconds) = 0.00927899 +initial residual = 3.62716e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.51502e-15 +recursive final residual = 5.49521e-20 +actual final residual = 5.60137e-20 +elapsed time for this solve (seconds) = 0.00898787 +initial residual = 1.68653e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.60598e-15 +recursive final residual = 4.39506e-20 +actual final residual = 4.65208e-20 +elapsed time for this solve (seconds) = 0.00900768 +initial residual = 1.4904e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.67562e-15 +recursive final residual = 2.49734e-20 +actual final residual = 2.46124e-20 +elapsed time for this solve (seconds) = 0.0091201 +initial residual = 1.13499e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.35195e-15 +recursive final residual = 1.53445e-20 +actual final residual = 1.63008e-20 +elapsed time for this solve (seconds) = 0.00902192 +initial residual = 7.29275e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.84274e-15 +recursive final residual = 1.34386e-20 +actual final residual = 1.30853e-20 +elapsed time for this solve (seconds) = 0.00922458 +initial residual = 4.48577e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.09158e-15 +recursive final residual = 4.89659e-21 +actual final residual = 5.15307e-21 +elapsed time for this solve (seconds) = 0.00926555 +initial residual = 3.37287e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.67355e-15 +recursive final residual = 5.64466e-21 +actual final residual = 5.73503e-21 +elapsed time for this solve (seconds) = 0.00895096 +initial residual = 2.17898e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.16725e-15 +recursive final residual = 2.54342e-21 +actual final residual = 2.57242e-21 +elapsed time for this solve (seconds) = 0.00899058 +initial residual = 1.57043e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.10404e-15 +recursive final residual = 1.73382e-21 +actual final residual = 1.69187e-21 +elapsed time for this solve (seconds) = 0.00922603 +initial residual = 1.05739e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.24155e-15 +recursive final residual = 1.3128e-21 +actual final residual = 1.31634e-21 +elapsed time for this solve (seconds) = 0.0111273 +initial residual = 6.82219e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.38502e-15 +recursive final residual = 1.62711e-19 +actual final residual = 1.56479e-19 +elapsed time for this solve (seconds) = 0.00934317 +initial residual = 3.43317e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.99178e-15 +recursive final residual = 1.02713e-19 +actual final residual = 1.06857e-19 +elapsed time for this solve (seconds) = 0.00955085 +initial residual = 2.88155e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.46239e-15 +recursive final residual = 4.21394e-20 +actual final residual = 4.25983e-20 +elapsed time for this solve (seconds) = 0.00987506 +initial residual = 1.32822e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.87089e-15 +recursive final residual = 3.81317e-20 +actual final residual = 3.77097e-20 +elapsed time for this solve (seconds) = 0.0094948 +initial residual = 1.14839e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.75861e-15 +recursive final residual = 2.01958e-20 +actual final residual = 1.92308e-20 +elapsed time for this solve (seconds) = 0.00921028 +initial residual = 8.93656e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.39673e-15 +recursive final residual = 1.24819e-20 +actual final residual = 1.29628e-20 +elapsed time for this solve (seconds) = 0.0100923 +initial residual = 5.82464e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.76751e-15 +recursive final residual = 1.02951e-20 +actual final residual = 9.7869e-21 +elapsed time for this solve (seconds) = 0.00969755 +initial residual = 3.51474e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.15201e-15 +recursive final residual = 4.04901e-21 +actual final residual = 4.11541e-21 +elapsed time for this solve (seconds) = 0.00967375 +initial residual = 2.62199e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.63616e-15 +recursive final residual = 4.28999e-21 +actual final residual = 4.1809e-21 +elapsed time for this solve (seconds) = 0.00978369 +initial residual = 1.66851e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.19737e-15 +recursive final residual = 1.99782e-21 +actual final residual = 2.02017e-21 +elapsed time for this solve (seconds) = 0.0103761 +initial residual = 1.17985e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.20981e-15 +recursive final residual = 1.4274e-21 +actual final residual = 1.45999e-21 +elapsed time for this solve (seconds) = 0.00966346 +initial residual = 5.75087e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.28379e-15 +recursive final residual = 1.31338e-19 +actual final residual = 1.28412e-19 +elapsed time for this solve (seconds) = 0.00890496 +initial residual = 2.8301e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.92102e-15 +recursive final residual = 8.26679e-20 +actual final residual = 7.97394e-20 +elapsed time for this solve (seconds) = 0.00941611 +initial residual = 2.26425e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.43252e-15 +recursive final residual = 3.24359e-20 +actual final residual = 3.40633e-20 +elapsed time for this solve (seconds) = 0.00967941 +initial residual = 1.03289e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.86348e-15 +recursive final residual = 2.95767e-20 +actual final residual = 2.95272e-20 +elapsed time for this solve (seconds) = 0.00981381 +initial residual = 8.68607e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.76345e-15 +recursive final residual = 1.53175e-20 +actual final residual = 1.54524e-20 +elapsed time for this solve (seconds) = 0.0090901 +initial residual = 6.87378e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.56934e-15 +recursive final residual = 1.07873e-20 +actual final residual = 1.0452e-20 +elapsed time for this solve (seconds) = 0.00916638 +initial residual = 4.6304e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.50307e-15 +recursive final residual = 6.9598e-21 +actual final residual = 7.44552e-21 +elapsed time for this solve (seconds) = 0.00926023 +initial residual = 2.75566e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.21402e-15 +recursive final residual = 3.34543e-21 +actual final residual = 3.32427e-21 +elapsed time for this solve (seconds) = 0.00915935 +initial residual = 2.04611e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.46313e-15 +recursive final residual = 2.99372e-21 +actual final residual = 3.00874e-21 +elapsed time for this solve (seconds) = 0.00963925 +initial residual = 1.27768e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.27096e-15 +recursive final residual = 1.62388e-21 +actual final residual = 1.57985e-21 +elapsed time for this solve (seconds) = 0.00977409 +initial residual = 4.76106e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.41955e-15 +recursive final residual = 1.15196e-19 +actual final residual = 1.16404e-19 +elapsed time for this solve (seconds) = 0.00949298 +initial residual = 2.32328e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.84042e-15 +recursive final residual = 6.59909e-20 +actual final residual = 6.43872e-20 +elapsed time for this solve (seconds) = 0.00966572 +initial residual = 1.76773e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.55265e-15 +recursive final residual = 2.74468e-20 +actual final residual = 2.58105e-20 +elapsed time for this solve (seconds) = 0.0100143 +initial residual = 7.89227e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.86694e-15 +recursive final residual = 2.26267e-20 +actual final residual = 2.27811e-20 +elapsed time for this solve (seconds) = 0.00909693 +initial residual = 6.39402e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.7401e-15 +recursive final residual = 1.11262e-20 +actual final residual = 1.08365e-20 +elapsed time for this solve (seconds) = 0.00993187 +initial residual = 5.17252e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.51445e-15 +recursive final residual = 7.8335e-21 +actual final residual = 8.25447e-21 +elapsed time for this solve (seconds) = 0.0096794 +initial residual = 3.53046e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.40719e-15 +recursive final residual = 4.96804e-21 +actual final residual = 5.10179e-21 +elapsed time for this solve (seconds) = 0.00913863 +initial residual = 2.1355e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.30307e-15 +recursive final residual = 2.78271e-21 +actual final residual = 2.55452e-21 +elapsed time for this solve (seconds) = 0.00984561 +initial residual = 1.55032e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.42747e-15 +recursive final residual = 2.21304e-21 +actual final residual = 2.12991e-21 +elapsed time for this solve (seconds) = 0.00931687 +initial residual = 3.88175e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.44396e-15 +recursive final residual = 9.48684e-20 +actual final residual = 9.44029e-20 +elapsed time for this solve (seconds) = 0.00934548 +initial residual = 1.87481e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.84756e-15 +recursive final residual = 5.33864e-20 +actual final residual = 5.27101e-20 +elapsed time for this solve (seconds) = 0.00957855 +initial residual = 1.36944e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.52597e-15 +recursive final residual = 2.08973e-20 +actual final residual = 2.13466e-20 +elapsed time for this solve (seconds) = 0.00935147 +initial residual = 6.08902e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.74387e-15 +recursive final residual = 1.67075e-20 +actual final residual = 1.74286e-20 +elapsed time for this solve (seconds) = 0.00907846 +initial residual = 4.54397e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.74506e-15 +recursive final residual = 7.92951e-21 +actual final residual = 8.68318e-21 +elapsed time for this solve (seconds) = 0.009609 +initial residual = 3.82723e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.56863e-15 +recursive final residual = 6.00352e-21 +actual final residual = 5.75723e-21 +elapsed time for this solve (seconds) = 0.009223 +initial residual = 2.59731e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.38222e-15 +recursive final residual = 3.59005e-21 +actual final residual = 3.74406e-21 +elapsed time for this solve (seconds) = 0.00923065 +initial residual = 1.64197e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.22844e-15 +recursive final residual = 2.01706e-21 +actual final residual = 2.06768e-21 +elapsed time for this solve (seconds) = 0.00928293 +initial residual = 1.15141e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.26063e-15 +recursive final residual = 1.4515e-21 +actual final residual = 1.56733e-21 +elapsed time for this solve (seconds) = 0.00982906 +initial residual = 3.1277e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.33872e-15 +recursive final residual = 7.31482e-20 +actual final residual = 7.16504e-20 +elapsed time for this solve (seconds) = 0.00984883 +initial residual = 1.51397e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.84746e-15 +recursive final residual = 4.31097e-20 +actual final residual = 4.3923e-20 +elapsed time for this solve (seconds) = 0.00949054 +initial residual = 1.07521e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.56206e-15 +recursive final residual = 1.67955e-20 +actual final residual = 1.66408e-20 +elapsed time for this solve (seconds) = 0.00943326 +initial residual = 4.74665e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.79011e-15 +recursive final residual = 1.32437e-20 +actual final residual = 1.2894e-20 +elapsed time for this solve (seconds) = 0.00942679 +initial residual = 3.28514e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.76904e-15 +recursive final residual = 5.81153e-21 +actual final residual = 6.17751e-21 +elapsed time for this solve (seconds) = 0.00919343 +initial residual = 2.72884e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.60017e-15 +recursive final residual = 4.36661e-21 +actual final residual = 4.46444e-21 +elapsed time for this solve (seconds) = 0.00918965 +initial residual = 1.86638e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.26075e-15 +recursive final residual = 2.35304e-21 +actual final residual = 2.48073e-21 +elapsed time for this solve (seconds) = 0.00914154 +initial residual = 1.25524e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.22158e-15 +recursive final residual = 1.53338e-21 +actual final residual = 1.52385e-21 +elapsed time for this solve (seconds) = 0.00942008 +initial residual = 2.48781e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.33217e-15 +recursive final residual = 5.802e-20 +actual final residual = 5.81841e-20 +elapsed time for this solve (seconds) = 0.00907296 +initial residual = 1.22328e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.71927e-15 +recursive final residual = 3.32642e-20 +actual final residual = 3.50805e-20 +elapsed time for this solve (seconds) = 0.00900139 +initial residual = 8.44587e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.47166e-15 +recursive final residual = 1.24294e-20 +actual final residual = 1.28949e-20 +elapsed time for this solve (seconds) = 0.0091968 +initial residual = 3.70326e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.51904e-15 +recursive final residual = 9.32867e-21 +actual final residual = 9.87359e-21 +elapsed time for this solve (seconds) = 0.00926605 +initial residual = 2.46458e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.85805e-15 +recursive final residual = 4.57931e-21 +actual final residual = 4.70288e-21 +elapsed time for this solve (seconds) = 0.00921221 +initial residual = 2.10888e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.4755e-15 +recursive final residual = 3.11164e-21 +actual final residual = 3.04211e-21 +elapsed time for this solve (seconds) = 0.00910652 +initial residual = 1.41357e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.3208e-15 +recursive final residual = 1.86705e-21 +actual final residual = 1.82086e-21 +elapsed time for this solve (seconds) = 0.00915556 +initial residual = 1.07179e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.16805e-15 +recursive final residual = 1.25191e-21 +actual final residual = 1.27719e-21 +elapsed time for this solve (seconds) = 0.00907697 +initial residual = 1.95289e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.3942e-15 +recursive final residual = 4.67561e-20 +actual final residual = 4.56663e-20 +elapsed time for this solve (seconds) = 0.00890532 +initial residual = 9.75459e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.81238e-15 +recursive final residual = 2.74336e-20 +actual final residual = 2.81356e-20 +elapsed time for this solve (seconds) = 0.00982887 +initial residual = 6.65322e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.52079e-15 +recursive final residual = 1.01182e-20 +actual final residual = 9.97745e-21 +elapsed time for this solve (seconds) = 0.00975838 +initial residual = 3.03389e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.311e-15 +recursive final residual = 7.01133e-21 +actual final residual = 7.07638e-21 +elapsed time for this solve (seconds) = 0.009307 +initial residual = 1.80359e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.7491e-15 +recursive final residual = 3.15465e-21 +actual final residual = 3.15544e-21 +elapsed time for this solve (seconds) = 0.00914192 +initial residual = 1.62104e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.29658e-15 +recursive final residual = 2.1018e-21 +actual final residual = 2.16906e-21 +elapsed time for this solve (seconds) = 0.0091203 +initial residual = 1.08289e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.32495e-15 +recursive final residual = 1.43477e-21 +actual final residual = 1.4045e-21 +elapsed time for this solve (seconds) = 0.00916059 +initial residual = 1.56146e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.27646e-15 +recursive final residual = 3.5546e-20 +actual final residual = 3.48844e-20 +elapsed time for this solve (seconds) = 0.00905047 +initial residual = 7.98773e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.77734e-15 +recursive final residual = 2.21846e-20 +actual final residual = 2.31774e-20 +elapsed time for this solve (seconds) = 0.00987829 +initial residual = 5.35259e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.40846e-15 +recursive final residual = 7.53889e-21 +actual final residual = 7.20568e-21 +elapsed time for this solve (seconds) = 0.00940169 +initial residual = 2.48999e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.8116e-15 +recursive final residual = 4.51087e-21 +actual final residual = 4.79208e-21 +elapsed time for this solve (seconds) = 0.00951357 +initial residual = 1.56003e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.64173e-15 +recursive final residual = 2.56114e-21 +actual final residual = 2.55264e-21 +elapsed time for this solve (seconds) = 0.0090291 +initial residual = 1.5281e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.13716e-15 +recursive final residual = 1.73769e-21 +actual final residual = 1.72608e-21 +elapsed time for this solve (seconds) = 0.00908713 +initial residual = 1.02225e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.51703e-15 +recursive final residual = 1.55078e-21 +actual final residual = 1.54069e-21 +elapsed time for this solve (seconds) = 0.00897174 diff --git a/examples/forward_problems/mechanics/validation/make_comparison.sh b/examples/forward_problems/mechanics/validation/make_comparison.sh new file mode 100755 index 0000000..a0433f7 --- /dev/null +++ b/examples/forward_problems/mechanics/validation/make_comparison.sh @@ -0,0 +1,12 @@ +# module load sierra/daily +# sierra adagio -i uniaxial_tension_hyperviscoelasticity.i +# module unload sierra/daily + +# python process_data.py +python ../plot_force_disp.py \ + --displacement-variable displ_y \ + --force-variable internal_force_y \ + --pinn-exodus-file uniaxial_tension_hyperviscoelasticity.e \ + --pinn-nodeset nodelist_5 \ + --sierra-exodus-file uniaxial_tension_hyperviscoelasticity.e \ + --sierra-nodeset nodelist_5 diff --git a/examples/forward_problems/mechanics/validation/uniaxial_tension_hyperviscoelasticity.i b/examples/forward_problems/mechanics/validation/uniaxial_tension_hyperviscoelasticity.i new file mode 100755 index 0000000..cc581e6 --- /dev/null +++ b/examples/forward_problems/mechanics/validation/uniaxial_tension_hyperviscoelasticity.i @@ -0,0 +1,230 @@ +begin sierra IsothermalCompression15pcf + + title Compression under isothermal conditions + + begin feti equation solver feti + end + + begin gdsw equation solver gdsw + end + + #initial_height = {initial_height = 1} # m + #initial_area = {initial_area = 1} # m^2 + + #load_time = {load_time = 1.0} + #relax_time = {relax_time = 1.0} + #end_time = {end_time = load_time + relax_time} + + begin definition for function applied_disp_fun + type is piecewise linear + begin values + 0.0 0.0 + {load_time} 1.0 + {load_time + relax_time} 1.0 + end + end + + ###################################################################### + ### ### + ### Geometry, Section, and Mesh Definitions ### + ### ### + ###################################################################### + + ### -------------------------------------------------- + ### Directions + ### -------------------------------------------------- + + define direction x with vector 1.0 0.0 0.0 + define direction y with vector 0.0 1.0 0.0 + define direction z with vector 0.0 0.0 1.0 + + ### -------------------------------------------------- + ### Material Model Definitions + ### -------------------------------------------------- + + begin property specification for material foam + density = 240.0 + + begin parameters for model modularhyperviscoelasticdamage + hyper viscoelastic formulation = ISV + strain energy density = neohookean + damage model = none + shift factor model = none + neq model = quadraticmandel + #viscous shear rate model = linear + + bulk modulus = 10 + shear modulus = 0.855 + + num prony terms = 1 + f2 1 = 1 + relax time 1 = 0.25 + end + end + + ### -------------------------------------------------- + ### Element Block Definitions + ### -------------------------------------------------- + + begin solid section solid_1 + formulation = fully_integrated + end + + begin total lagrange section solid_2 + end + + begin solid section solid_3 + end + + begin finite element model mesh1 + #Database Name = ../mesh/mesh_hex8.g + database name = ../mesh/2holes.g + Database Type = exodusII + + begin parameters for block block_1 + material foam + model = modularhyperviscoelasticdamage + section = solid_1 + end + end + + ###################################################################### + ### ### + ### ADAGIO Procedure ### + ### ### + ###################################################################### + + begin adagio procedure adagio_procedure + + ### -------------------------------------------------- + ### Time Step Definition + ### -------------------------------------------------- + + begin time control + + begin time stepping block pload + start time = 0.0 + begin parameters for adagio region adagio_region + number of time steps = 11 + end + end + + begin time stepping block prelax + start time = {load_time} + begin parameters for adagio region adagio_region + number of time steps = 11 + end + end + + termination time = {end_time} + end + + ###################################################################### + ### ### + ### ADAGIO Region ### + ### ### + ###################################################################### + + begin adagio region adagio_region + use finite element model mesh1 + logfile precision = 7 + + ### -------------------------------------------------- + ### Output Commands + ### -------------------------------------------------- + + ###################################################################### + ### ### + ### Output Commands ### + ### ### + ###################################################################### + + + #User Output + # The reaction force will be postive in compression for nset_y0 + # Field Output + begin Results Output output_adagio_region + Database Name = %B.e + Database Type = exodusII + at step 0, increment = 1 + nodal Variables = displacement as displ + nodal Variables = reaction as reaction_forces + node variables = force_internal as internal_force + element Variables = stress as stress + element variables = shift_factor as shift_factor + element variables = fv_1 as Fv_1 + element variables = temperature as temperature + element variables = first_pk_stress + end + + + # Heartbeat Output + begin heartbeat ouput DATAHB + stream name = %B.hb + append = off + precision = 10 + legend = on + format=CSV #default + labels=off + timestamp format="" + at time 0, increment = 1.0E-6 + global time as time + global timestep as timestep + end + + ### -------------------------------------------------- + ### Boundary Conditions + ### -------------------------------------------------- + + begin initial temperature + block = block_1 + magnitude = 75.0 + end + + # Platen Condition Only During Loading + begin prescribed displacement + node set = nodelist_5 + direction = y + function = applied_disp_fun + #scale factor = -1.0 + end + + # 3 Symmetry Conditions + begin fixed displacement + node set = nodelist_3 + components = x y z + end + + begin fixed displacement + node set = nodelist_5 + components = x z + end + + + ### -------------------------------------------------- + ### Solver definition + ### -------------------------------------------------- + + begin solver + begin cg + reference = belytschko + target relative residual = 1.0e-6 + target residual = 1.0e-6 + acceptable relative residual = 1.0E-4 + acceptable residual = 1.0E-5 + Maximum Iterations = 5000 + #Line Search secant + iteration print = 25 + + begin full tangent preconditioner + linear solver = gdsw + #tangent diagonal scale = 1e-6 + #iteration update = 50 + maximum updates for modelproblem = 5 + small number of iterations = 50 + end + end + end + end + end +end diff --git a/examples/inverse_problems/mechanics/path-dependent/2hole_data/2holes.g b/examples/inverse_problems/mechanics/path-dependent/2hole_data/2holes.g new file mode 100644 index 0000000..7bcb113 Binary files /dev/null and b/examples/inverse_problems/mechanics/path-dependent/2hole_data/2holes.g differ diff --git a/examples/inverse_problems/mechanics/path-dependent/2hole_data/2holes_full_field_data.csv b/examples/inverse_problems/mechanics/path-dependent/2hole_data/2holes_full_field_data.csv new file mode 100644 index 0000000..d946664 --- /dev/null +++ b/examples/inverse_problems/mechanics/path-dependent/2hole_data/2holes_full_field_data.csv @@ -0,0 +1,11432 @@ +x,y,z,t,u_x,u_y,u_z +0.5,0.675,0.1,0.0,0.0,0.0,0.0 +0.5095682721236828,0.6339639718181032,0.1,0.0,0.0,0.0,0.0 +0.5274593245483749,0.595814034943775,0.1,0.0,0.0,0.0,0.0 +0.5528912324323223,0.5622175246821317,0.1,0.0,0.0,0.0,0.0 +0.5847524993651632,0.5346427697455498,0.1,0.0,0.0,0.0,0.0 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method = Right GMRES (gmresClassic) +solver option = Esmond +number of processors = 1 +total number of unknowns = 5364 +minimum subdomain size = 5364 +maximum subdomain size = 5364 +number of Type 1 constraints = 0 +number of Type 2 constraints = 0 +max depend dofs for master dof = -1 +overlap = 0 +using interface preconditioner = no +coarse correction = none +solver tolerance = 0.001 +maximum number of iterations = 11 +maximum number of restarts = 1 +maximum stored directions = 0 +linear solver execution space = host +orthogonalization execution space= host +solving scaled problem = no +operator diagonal magnitudes ---------------- +min at node 79 = 0.00788451 +max at node 1386 = 0.203457 +max/min = 25.8047 +Rigid Body Norm for Mode 1 = 0.000442006 +Rigid Body Norm for Mode 2 = 0.00285387 +Rigid Body Norm for Mode 3 = 0.000978119 +Rigid Body Norm for Mode 4 = 0.0016062 +Rigid Body Norm for Mode 5 = 0.000960239 +Rigid Body Norm for Mode 6 = 0.00211161 +maximum overlap rows = 0 +coarse space type = large +number of coarse levels = 0 +solver initialization time = 0.059273 seconds + Recursive Actual + Relative Relative +Solve Iter Total Avg Residual Residual CPU (s) Total (s) Avg (s) + 1 1 1 1 9.29285e-14 8.11513e-14 0.00818998 0.00818998 0.00818998 + 2 1 2 1 1.4045e-13 2.25785e-13 0.00891391 0.0171039 0.00855195 + 3 1 3 1 7.0852e-13 7.23354e-13 0.00887487 0.0259788 0.00865959 + 4 1 4 1 3.16781e-13 3.21464e-13 0.00898907 0.0349678 0.00874196 + 5 1 5 1 2.27338e-13 2.1741e-13 0.00893463 0.0439025 0.00878049 + 6 1 6 1 5.08703e-13 7.27628e-13 0.00893162 0.0528341 0.00880568 + 7 1 7 1 1.79078e-13 1.77403e-13 0.00898871 0.0618228 0.00883183 + 8 1 8 1 5.1799e-13 2.18586e-13 0.00904052 0.0708633 0.00885791 + 9 1 9 1 4.43592e-13 4.01357e-13 0.00883902 0.0797023 0.00885581 + 10 1 10 1 4.70199e-13 2.50813e-13 0.00881877 0.0885211 0.00885211 + 11 1 11 1 2.49791e-13 2.83146e-13 0.00884052 0.0973616 0.00885106 + 12 1 12 1 8.12858e-13 3.05329e-13 0.00891007 0.106272 0.00885598 + 13 1 13 1 7.10545e-14 3.92345e-14 0.0088033 0.115075 0.00885192 + 14 1 14 1 3.22477e-13 2.96324e-13 0.00892718 0.124002 0.0088573 + 15 1 15 1 1.13412e-12 1.01644e-12 0.0088531 0.132855 0.00885702 + 16 1 16 1 2.09041e-12 1.79181e-12 0.00881433 0.14167 0.00885435 + 17 1 17 1 6.57839e-13 8.87394e-13 0.0088178 0.150487 0.0088522 + 18 1 18 1 1.04279e-12 6.89133e-13 0.00879883 0.159286 0.00884924 + 19 1 19 1 1.0846e-12 1.15252e-12 0.00878979 0.168076 0.00884611 + 20 1 20 1 1.2258e-13 1.47523e-13 0.00880531 0.176881 0.00884407 + 21 1 21 1 1.15807e-13 1.43773e-13 0.00896626 0.185848 0.00884989 + 22 1 22 1 1.5737e-12 6.44484e-13 0.00888029 0.194728 0.00885127 + 23 1 23 1 1.30519e-12 8.44529e-13 0.00903399 0.203762 0.00885921 + 24 1 24 1 7.46997e-13 7.91955e-13 0.00899799 0.21276 0.00886499 + 25 1 25 1 8.69542e-13 1.01387e-12 0.00896265 0.221723 0.0088689 + 26 1 26 1 1.05852e-12 1.18794e-12 0.00895017 0.230673 0.00887203 + 27 1 27 1 8.01914e-13 9.59565e-13 0.00892263 0.239595 0.0088739 + 28 1 28 1 9.21694e-13 1.0592e-12 0.00879781 0.248393 0.00887118 + 29 1 29 1 6.02078e-13 5.80166e-13 0.00884687 0.25724 0.00887034 + 30 1 30 1 4.37497e-13 6.04967e-13 0.00897954 0.26622 0.00887398 + 31 1 31 1 3.70011e-13 3.94165e-13 0.00900753 0.275227 0.00887829 + 32 1 32 1 5.57826e-13 4.1347e-13 0.00882827 0.284055 0.00887673 + 33 1 33 1 3.79127e-13 5.79821e-13 0.00879055 0.292846 0.00887412 + 34 1 34 1 2.63151e-13 4.14047e-13 0.00893026 0.301776 0.00887577 + 35 1 35 1 3.34895e-13 4.01777e-13 0.00887572 0.310652 0.00887577 + 36 1 36 1 1.12024e-12 1.02756e-12 0.00881208 0.319464 0.008874 + 37 1 37 1 7.06859e-13 7.46746e-13 0.00883532 0.328299 0.00887295 + 38 1 38 1 4.80127e-13 5.40978e-13 0.00881387 0.337113 0.0088714 + 39 1 39 1 3.79122e-13 3.37393e-13 0.00881501 0.345928 0.00886995 + 40 1 40 1 8.41996e-13 5.80863e-13 0.00888908 0.354817 0.00887043 + 41 1 41 1 9.8611e-13 9.52147e-13 0.00887138 0.363689 0.00887045 + 42 1 42 1 7.8613e-13 1.4983e-12 0.00887738 0.372566 0.00887062 +total time for overlap preconditioner (seconds) = 0.341755 +Notice: single processor solver parameters may overide those specified for parallel runs +****************************************************************** +--- domain decomposition solver summary --- +preconditioner = GDSW +Krylov method = Right GMRES (gmresClassic) +solver option = Esmond +number of processors = 1 +total number of unknowns = 5364 +minimum subdomain size = 5364 +maximum subdomain size = 5364 +number of Type 1 constraints = 0 +number of Type 2 constraints = 0 +max depend dofs for master dof = -1 +overlap = 0 +using interface preconditioner = no +coarse correction = none +solver tolerance = 0.001 +maximum number of iterations = 11 +maximum number of restarts = 1 +maximum stored directions = 0 +linear solver execution space = host +orthogonalization execution space= host +solving scaled problem = no +operator diagonal magnitudes ---------------- +min at node 54 = 0.00649214 +max at node 1059 = 0.173917 +max/min = 26.7888 +Rigid Body Norm for Mode 1 = 0.000347297 +Rigid Body Norm for Mode 2 = 0.00217378 +Rigid Body Norm for Mode 3 = 0.000319246 +Rigid Body Norm for Mode 4 = 0.000446391 +Rigid Body Norm for Mode 5 = 0.000324579 +Rigid Body Norm for Mode 6 = 0.00148783 +maximum overlap rows = 0 +coarse space type = large +number of coarse levels = 0 +solver initialization time = 0.0592231 seconds + Recursive Actual + Relative Relative +Solve Iter Total Avg Residual Residual CPU (s) Total (s) Avg (s) + 1 1 1 1 4.65166e-15 4.20151e-15 0.0079254 0.0079254 0.0079254 + 2 1 2 1 1.32601e-15 1.34444e-15 0.00895682 0.0168822 0.00844111 + 3 1 3 1 7.94001e-15 8.12752e-15 0.00906412 0.0259463 0.00864878 + 4 1 4 1 1.53714e-15 1.69659e-15 0.00879817 0.0347445 0.00868613 + 5 1 5 1 3.10262e-15 3.17229e-15 0.00883484 0.0435794 0.00871587 + 6 1 6 1 1.11846e-15 1.12399e-15 0.00892753 0.0525069 0.00875115 + 7 1 7 1 3.63351e-15 3.66328e-15 0.00897372 0.0614806 0.00878294 + 8 1 8 1 5.43859e-15 5.51806e-15 0.00887252 0.0703531 0.00879414 + 9 1 9 1 8.02796e-15 8.02818e-15 0.00905657 0.0794097 0.0088233 + 10 1 10 1 8.92198e-16 9.01721e-16 0.00888354 0.0882932 0.00882932 + 11 1 11 1 4.30818e-15 3.9574e-15 0.00892756 0.0972208 0.00883825 + 12 1 12 1 1.56659e-15 1.59299e-15 0.00894532 0.106166 0.00884718 + 13 1 13 1 3.03775e-15 2.83521e-15 0.00928728 0.115453 0.00888103 + 14 1 14 1 1.29633e-15 1.3052e-15 0.00889818 0.124352 0.00888226 + 15 1 15 1 1.01945e-15 1.00795e-15 0.00891323 0.133265 0.00888432 + 16 1 16 1 2.27566e-15 2.3025e-15 0.00894622 0.142211 0.00888819 + 17 1 17 1 1.28069e-15 1.30868e-15 0.0089073 0.151118 0.00888931 + 18 1 18 1 6.50066e-16 6.38587e-16 0.00888404 0.160002 0.00888902 + 19 1 19 1 3.61459e-15 3.68633e-15 0.00887348 0.168876 0.0088882 + 20 1 20 1 2.48482e-15 2.3718e-15 0.00889789 0.177774 0.00888869 + 21 1 21 1 1.8008e-15 1.77139e-15 0.00890028 0.186674 0.00888924 + 22 1 22 1 1.89443e-15 1.82433e-15 0.00898114 0.195655 0.00889342 + 23 1 23 1 1.45451e-15 1.39368e-15 0.0089005 0.204556 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2.08319 0.00901813 + 232 1 232 1 1.7491e-15 1.74954e-15 0.00898653 2.09217 0.00901799 + 233 1 233 1 1.29658e-15 1.33806e-15 0.00900223 2.10118 0.00901793 + 234 1 234 1 1.32495e-15 1.297e-15 0.00886088 2.11004 0.00901725 + 235 1 235 1 2.27646e-15 2.23409e-15 0.00884268 2.11888 0.00901651 + 236 1 236 1 2.77734e-15 2.90163e-15 0.00907123 2.12795 0.00901674 + 237 1 237 1 1.40846e-15 1.3462e-15 0.00893809 2.13689 0.00901641 + 238 1 238 1 1.8116e-15 1.92453e-15 0.00888797 2.14578 0.00901587 + 239 1 239 1 1.64173e-15 1.63628e-15 0.0089819 2.15476 0.00901573 + 240 1 240 1 1.13716e-15 1.12956e-15 0.00884548 2.1636 0.00901502 + 241 1 241 1 1.51703e-15 1.50716e-15 0.00917808 2.17278 0.0090157 +total time for overlap preconditioner (seconds) = 1.9949 diff --git a/examples/inverse_problems/mechanics/path-dependent/2hole_data/generate_data.sh b/examples/inverse_problems/mechanics/path-dependent/2hole_data/generate_data.sh new file mode 100755 index 0000000..21acf5f --- /dev/null +++ b/examples/inverse_problems/mechanics/path-dependent/2hole_data/generate_data.sh @@ -0,0 +1,10 @@ +module load sierra/daily +sierra adagio -i uniaxial_tension_hyperviscoelasticity.i +module unload sierra/daily + +python process_data.py +python plot_force_disp.py \ + --displacement-variable displ_y \ + --force-variable internal_force_y \ + --sierra-exodus-file uniaxial_tension_hyperviscoelasticity.e \ + --sierra-nodeset nodelist_5 diff --git a/examples/inverse_problems/mechanics/path-dependent/2hole_data/global_data.csv b/examples/inverse_problems/mechanics/path-dependent/2hole_data/global_data.csv new file mode 100644 index 0000000..bebd400 --- /dev/null +++ b/examples/inverse_problems/mechanics/path-dependent/2hole_data/global_data.csv @@ -0,0 +1,24 @@ +times,disps,forces +0.0,0.0,0.0 +0.09090909090909091,0.09090909090909095,0.022605789793851673 +0.18181818181818182,0.1818181818181819,0.03947490650324488 +0.2727272727272727,0.27272727272727265,0.05225270159108371 +0.36363636363636365,0.3636363636363638,0.06226326116268442 +0.4545454545454546,0.4545454545454547,0.07043557325102609 +0.5454545454545454,0.5454545454545456,0.07738954110354708 +0.6363636363636364,0.6363636363636364,0.08352906975259315 +0.7272727272727273,0.7272727272727276,0.08911584215326708 +0.8181818181818182,0.818181818181818,0.09431867697442234 +0.9090909090909092,0.9090909090909094,0.09924791298067291 +1.0,1.0,0.10397390245967524 +1.0909090909090908,1.0,0.10090471247756783 +1.1818181818181817,1.0,0.09862620655867475 +1.2727272727272727,1.0,0.09693433369858935 +1.3636363636363635,1.0,0.09567721868550211 +1.4545454545454546,1.0,0.0947430195209092 +1.5454545454545454,1.0,0.09404852999748947 +1.6363636363636362,1.0,0.0935315540310408 +1.7272727272727273,1.0,0.09314667275524344 +1.8181818181818181,1.0,0.09285967507857966 +1.9090909090909092,1.0,0.09264557366783202 +2.0,1.0,0.09248570454400146 diff --git a/examples/inverse_problems/mechanics/path-dependent/2hole_data/krylov_solver.dat b/examples/inverse_problems/mechanics/path-dependent/2hole_data/krylov_solver.dat new file mode 100644 index 0000000..03a15d4 --- /dev/null +++ b/examples/inverse_problems/mechanics/path-dependent/2hole_data/krylov_solver.dat @@ -0,0 +1,1415 @@ +initial residual = 0.306383 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.29285e-14 +recursive final residual = 2.84717e-14 +actual final residual = 2.48634e-14 +elapsed time for this solve (seconds) = 0.00818998 +initial residual = 0.26163 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.4045e-13 +recursive final residual = 3.6746e-14 +actual final residual = 5.90723e-14 +elapsed time for this solve (seconds) = 0.00891391 +initial residual = 0.242807 +Right GMRES iteration 1 of maxIter = 11: relative residual = 7.0852e-13 +recursive final residual = 1.72034e-13 +actual final residual = 1.75636e-13 +elapsed time for this solve (seconds) = 0.00887487 +initial residual = 0.227135 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.16781e-13 +recursive final residual = 7.19522e-14 +actual final residual = 7.30158e-14 +elapsed time for this solve (seconds) = 0.00898907 +initial residual = 0.230998 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.27338e-13 +recursive final residual = 5.25147e-14 +actual final residual = 5.02213e-14 +elapsed time for this solve (seconds) = 0.00893463 +initial residual = 0.229143 +Right GMRES iteration 1 of maxIter = 11: relative residual = 5.08703e-13 +recursive final residual = 1.16566e-13 +actual final residual = 1.66731e-13 +elapsed time for this solve (seconds) = 0.00893162 +initial residual = 0.229985 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.79078e-13 +recursive final residual = 4.11852e-14 +actual final residual = 4.07999e-14 +elapsed time for this solve (seconds) = 0.00898871 +initial residual = 0.229644 +Right GMRES iteration 1 of maxIter = 11: relative residual = 5.1799e-13 +recursive final residual = 1.18953e-13 +actual final residual = 5.01968e-14 +elapsed time for this solve (seconds) = 0.00904052 +initial residual = 0.229795 +Right GMRES iteration 1 of maxIter = 11: relative residual = 4.43592e-13 +recursive final residual = 1.01935e-13 +actual final residual = 9.22298e-14 +elapsed time for this solve (seconds) = 0.00883902 +initial residual = 0.22973 +Right GMRES iteration 1 of maxIter = 11: relative residual = 4.70199e-13 +recursive final residual = 1.08019e-13 +actual final residual = 5.76192e-14 +elapsed time for this solve (seconds) = 0.00881877 +initial residual = 0.229758 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.49791e-13 +recursive final residual = 5.73914e-14 +actual final residual = 6.50549e-14 +elapsed time for this solve (seconds) = 0.00884052 +initial residual = 0.229746 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.12858e-13 +recursive final residual = 1.8675e-13 +actual final residual = 7.01479e-14 +elapsed time for this solve (seconds) = 0.00891007 +initial residual = 0.00549574 +Right GMRES iteration 1 of maxIter = 11: relative residual = 7.10545e-14 +recursive final residual = 3.90497e-16 +actual final residual = 2.15623e-16 +elapsed time for this solve (seconds) = 0.0088033 +initial residual = 0.00251139 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.22477e-13 +recursive final residual = 8.09866e-16 +actual final residual = 7.44184e-16 +elapsed time for this solve (seconds) = 0.00892718 +initial residual = 0.00238786 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.13412e-12 +recursive final residual = 2.70811e-15 +actual final residual = 2.42712e-15 +elapsed time for this solve (seconds) = 0.0088531 +initial residual = 0.00188154 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.09041e-12 +recursive final residual = 3.93321e-15 +actual final residual = 3.37137e-15 +elapsed time for this solve (seconds) = 0.00881433 +initial residual = 0.00187626 +Right GMRES iteration 1 of maxIter = 11: relative residual = 6.57839e-13 +recursive final residual = 1.23428e-15 +actual final residual = 1.66498e-15 +elapsed time for this solve (seconds) = 0.0088178 +initial residual = 0.00185489 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.04279e-12 +recursive final residual = 1.93427e-15 +actual final residual = 1.27827e-15 +elapsed time for this solve (seconds) = 0.00879883 +initial residual = 0.00181464 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.0846e-12 +recursive final residual = 1.96817e-15 +actual final residual = 2.09141e-15 +elapsed time for this solve (seconds) = 0.00878979 +initial residual = 0.00177834 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.2258e-13 +recursive final residual = 2.17989e-16 +actual final residual = 2.62347e-16 +elapsed time for this solve (seconds) = 0.00880531 +initial residual = 0.00178563 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.15807e-13 +recursive final residual = 2.06789e-16 +actual final residual = 2.56727e-16 +elapsed time for this solve (seconds) = 0.00896626 +initial residual = 0.00163374 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.5737e-12 +recursive final residual = 2.57101e-15 +actual final residual = 1.05292e-15 +elapsed time for this solve (seconds) = 0.00888029 +initial residual = 0.00148799 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.30519e-12 +recursive final residual = 1.9421e-15 +actual final residual = 1.25665e-15 +elapsed time for this solve (seconds) = 0.00903399 +initial residual = 0.00132008 +Right GMRES iteration 1 of maxIter = 11: relative residual = 7.46997e-13 +recursive final residual = 9.86099e-16 +actual final residual = 1.04545e-15 +elapsed time for this solve (seconds) = 0.00899799 +initial residual = 0.00127682 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.69542e-13 +recursive final residual = 1.11025e-15 +actual final residual = 1.29453e-15 +elapsed time for this solve (seconds) = 0.00896265 +initial residual = 0.00127165 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.05852e-12 +recursive final residual = 1.34607e-15 +actual final residual = 1.51065e-15 +elapsed time for this solve (seconds) = 0.00895017 +initial residual = 0.0011502 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.01914e-13 +recursive final residual = 9.22363e-16 +actual final residual = 1.10369e-15 +elapsed time for this solve (seconds) = 0.00892263 +initial residual = 0.00114436 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.21694e-13 +recursive final residual = 1.05475e-15 +actual final residual = 1.2121e-15 +elapsed time for this solve (seconds) = 0.00879781 +initial residual = 0.00111528 +Right GMRES iteration 1 of maxIter = 11: relative residual = 6.02078e-13 +recursive final residual = 6.71483e-16 +actual final residual = 6.47046e-16 +elapsed time for this solve (seconds) = 0.00884687 +initial residual = 0.00112021 +Right GMRES iteration 1 of maxIter = 11: relative residual = 4.37497e-13 +recursive final residual = 4.90089e-16 +actual final residual = 6.77692e-16 +elapsed time for this solve (seconds) = 0.00897954 +initial residual = 0.00111229 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.70011e-13 +recursive final residual = 4.11558e-16 +actual final residual = 4.38425e-16 +elapsed time for this solve (seconds) = 0.00900753 +initial residual = 0.00110178 +Right GMRES iteration 1 of maxIter = 11: relative residual = 5.57826e-13 +recursive final residual = 6.14603e-16 +actual final residual = 4.55555e-16 +elapsed time for this solve (seconds) = 0.00882827 +initial residual = 0.00110118 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.79127e-13 +recursive final residual = 4.17487e-16 +actual final residual = 6.38487e-16 +elapsed time for this solve (seconds) = 0.00879055 +initial residual = 0.00109973 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.63151e-13 +recursive final residual = 2.89394e-16 +actual final residual = 4.55339e-16 +elapsed time for this solve (seconds) = 0.00893026 +initial residual = 0.00110251 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.34895e-13 +recursive final residual = 3.69227e-16 +actual final residual = 4.42964e-16 +elapsed time for this solve (seconds) = 0.00887572 +initial residual = 0.00109395 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.12024e-12 +recursive final residual = 1.22549e-15 +actual final residual = 1.1241e-15 +elapsed time for this solve (seconds) = 0.00881208 +initial residual = 0.00109787 +Right GMRES iteration 1 of maxIter = 11: relative residual = 7.06859e-13 +recursive final residual = 7.76041e-16 +actual final residual = 8.19832e-16 +elapsed time for this solve (seconds) = 0.00883532 +initial residual = 0.00107421 +Right GMRES iteration 1 of maxIter = 11: relative residual = 4.80127e-13 +recursive final residual = 5.15758e-16 +actual final residual = 5.81124e-16 +elapsed time for this solve (seconds) = 0.00881387 +initial residual = 0.00105853 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.79122e-13 +recursive final residual = 4.01313e-16 +actual final residual = 3.57142e-16 +elapsed time for this solve (seconds) = 0.00881501 +initial residual = 0.00105183 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.41996e-13 +recursive final residual = 8.85636e-16 +actual final residual = 6.10968e-16 +elapsed time for this solve (seconds) = 0.00888908 +initial residual = 0.00105303 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.8611e-13 +recursive final residual = 1.0384e-15 +actual final residual = 1.00264e-15 +elapsed time for this solve (seconds) = 0.00887138 +initial residual = 0.00106949 +Right GMRES iteration 1 of maxIter = 11: relative residual = 7.8613e-13 +recursive final residual = 8.40757e-16 +actual final residual = 1.60242e-15 +elapsed time for this solve (seconds) = 0.00887738 +initial residual = 0.00106959 +Right GMRES iteration 1 of maxIter = 11: relative residual = 4.65166e-15 +recursive final residual = 4.97538e-18 +actual final residual = 4.4939e-18 +elapsed time for this solve (seconds) = 0.0079254 +initial residual = 4.13488e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.32601e-15 +recursive final residual = 5.48291e-20 +actual final residual = 5.55908e-20 +elapsed time for this solve (seconds) = 0.00895682 +initial residual = 1.54439e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 7.94001e-15 +recursive final residual = 1.22625e-20 +actual final residual = 1.2552e-20 +elapsed time for this solve (seconds) = 0.00906412 +initial residual = 0.005505 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.53714e-15 +recursive final residual = 8.46195e-18 +actual final residual = 9.33972e-18 +elapsed time for this solve (seconds) = 0.00879817 +initial residual = 0.000575702 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.10262e-15 +recursive final residual = 1.78618e-18 +actual final residual = 1.82629e-18 +elapsed time for this solve (seconds) = 0.00883484 +initial residual = 0.000181699 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.11846e-15 +recursive final residual = 2.03222e-19 +actual final residual = 2.04228e-19 +elapsed time for this solve (seconds) = 0.00892753 +initial residual = 2.72521e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.63351e-15 +recursive final residual = 9.90207e-20 +actual final residual = 9.98321e-20 +elapsed time for this solve (seconds) = 0.00897372 +initial residual = 5.15071e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 5.43859e-15 +recursive final residual = 2.80126e-20 +actual final residual = 2.84219e-20 +elapsed time for this solve (seconds) = 0.00887252 +initial residual = 1.41041e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.02796e-15 +recursive final residual = 1.13227e-20 +actual final residual = 1.1323e-20 +elapsed time for this solve (seconds) = 0.00905657 +initial residual = 0.0056532 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.92198e-16 +recursive final residual = 5.04377e-18 +actual final residual = 5.09761e-18 +elapsed time for this solve (seconds) = 0.00888354 +initial residual = 0.000770371 +Right GMRES iteration 1 of maxIter = 11: relative residual = 4.30818e-15 +recursive final residual = 3.3189e-18 +actual final residual = 3.04867e-18 +elapsed time for this solve (seconds) = 0.00892756 +initial residual = 0.000417298 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.56659e-15 +recursive final residual = 6.53735e-19 +actual final residual = 6.64753e-19 +elapsed time for this solve (seconds) = 0.00894532 +initial residual = 0.000108548 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.03775e-15 +recursive final residual = 3.29742e-19 +actual final residual = 3.07757e-19 +elapsed time for this solve (seconds) = 0.00928728 +initial residual = 3.56644e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.29633e-15 +recursive final residual = 4.62329e-20 +actual final residual = 4.6549e-20 +elapsed time for this solve (seconds) = 0.00889818 +initial residual = 1.49049e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.01945e-15 +recursive final residual = 1.51947e-20 +actual final residual = 1.50233e-20 +elapsed time for this solve (seconds) = 0.00891323 +initial residual = 4.03129e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.27566e-15 +recursive final residual = 9.17384e-21 +actual final residual = 9.28203e-21 +elapsed time for this solve (seconds) = 0.00894622 +initial residual = 1.50338e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.28069e-15 +recursive final residual = 1.92537e-21 +actual final residual = 1.96744e-21 +elapsed time for this solve (seconds) = 0.0089073 +initial residual = 0.00556915 +Right GMRES iteration 1 of maxIter = 11: relative residual = 6.50066e-16 +recursive final residual = 3.62031e-18 +actual final residual = 3.55638e-18 +elapsed time for this solve (seconds) = 0.00888404 +initial residual = 0.000959485 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.61459e-15 +recursive final residual = 3.46815e-18 +actual final residual = 3.53698e-18 +elapsed time for this solve (seconds) = 0.00887348 +initial residual = 0.000538831 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.48482e-15 +recursive final residual = 1.3389e-18 +actual final residual = 1.278e-18 +elapsed time for this solve (seconds) = 0.00889789 +initial residual = 0.000212975 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.8008e-15 +recursive final residual = 3.83524e-19 +actual final residual = 3.77261e-19 +elapsed time for this solve (seconds) = 0.00890028 +initial residual = 7.67166e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.89443e-15 +recursive final residual = 1.45334e-19 +actual final residual = 1.39956e-19 +elapsed time for this solve (seconds) = 0.00898114 +initial residual = 4.68895e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.45451e-15 +recursive final residual = 6.82014e-20 +actual final residual = 6.5349e-20 +elapsed time for this solve (seconds) = 0.0089005 +initial residual = 1.3449e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.39015e-15 +recursive final residual = 3.21451e-20 +actual final residual = 3.24068e-20 +elapsed time for this solve (seconds) = 0.00891823 +initial residual = 9.62116e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.00042e-15 +recursive final residual = 9.62515e-21 +actual final residual = 9.76097e-21 +elapsed time for this solve (seconds) = 0.00891619 +initial residual = 3.29448e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.47678e-15 +recursive final residual = 4.86521e-21 +actual final residual = 4.85706e-21 +elapsed time for this solve (seconds) = 0.00899741 +initial residual = 1.44021e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.14367e-15 +recursive final residual = 1.64713e-21 +actual final residual = 1.71592e-21 +elapsed time for this solve (seconds) = 0.0089628 +initial residual = 0.00533819 +Right GMRES iteration 1 of maxIter = 11: relative residual = 6.81743e-16 +recursive final residual = 3.63928e-18 +actual final residual = 3.71849e-18 +elapsed time for this solve (seconds) = 0.00884799 +initial residual = 0.00112061 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.12194e-15 +recursive final residual = 3.49848e-18 +actual final residual = 3.23593e-18 +elapsed time for this solve (seconds) = 0.00882064 +initial residual = 0.000558749 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.70334e-15 +recursive final residual = 1.51049e-18 +actual final residual = 1.4742e-18 +elapsed time for this solve (seconds) = 0.0089172 +initial residual = 0.000306594 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.04523e-15 +recursive final residual = 3.20461e-19 +actual final residual = 3.2178e-19 +elapsed time for this solve (seconds) = 0.00892456 +initial residual = 0.00012183 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.99396e-15 +recursive final residual = 2.42924e-19 +actual final residual = 2.50713e-19 +elapsed time for this solve (seconds) = 0.0088766 +initial residual = 8.14836e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.47644e-15 +recursive final residual = 1.20306e-19 +actual final residual = 1.17398e-19 +elapsed time for this solve (seconds) = 0.00888665 +initial residual = 3.27365e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.29207e-15 +recursive final residual = 4.22977e-20 +actual final residual = 4.1255e-20 +elapsed time for this solve (seconds) = 0.009032 +initial residual = 1.97535e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.42002e-15 +recursive final residual = 2.80503e-20 +actual final residual = 2.68769e-20 +elapsed time for this solve (seconds) = 0.00898724 +initial residual = 9.82237e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.50823e-15 +recursive final residual = 1.48144e-20 +actual final residual = 1.49431e-20 +elapsed time for this solve (seconds) = 0.00891119 +initial residual = 5.34093e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.41182e-16 +recursive final residual = 5.02679e-21 +actual final residual = 5.3302e-21 +elapsed time for this solve (seconds) = 0.00891657 +initial residual = 2.60838e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.17216e-15 +recursive final residual = 3.05743e-21 +actual final residual = 3.01281e-21 +elapsed time for this solve (seconds) = 0.00887226 +initial residual = 1.31959e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.19794e-15 +recursive final residual = 1.58079e-21 +actual final residual = 1.52453e-21 +elapsed time for this solve (seconds) = 0.00891795 +initial residual = 0.00503865 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.34388e-16 +recursive final residual = 4.20419e-18 +actual final residual = 4.15015e-18 +elapsed time for this solve (seconds) = 0.00886714 +initial residual = 0.00122714 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.7446e-15 +recursive final residual = 3.368e-18 +actual final residual = 3.10156e-18 +elapsed time for this solve (seconds) = 0.00891163 +initial residual = 0.00054629 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.85833e-15 +recursive final residual = 1.56148e-18 +actual final residual = 1.62553e-18 +elapsed time for this solve (seconds) = 0.0088945 +initial residual = 0.000354728 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.52792e-15 +recursive final residual = 5.41995e-19 +actual final residual = 5.66041e-19 +elapsed time for this solve (seconds) = 0.00893364 +initial residual = 0.000170269 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.54895e-15 +recursive final residual = 2.63739e-19 +actual final residual = 2.56184e-19 +elapsed time for this solve (seconds) = 0.00908935 +initial residual = 9.54769e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.71515e-15 +recursive final residual = 1.63757e-19 +actual final residual = 1.65827e-19 +elapsed time for this solve (seconds) = 0.00906602 +initial residual = 7.43346e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.55936e-15 +recursive final residual = 1.15915e-19 +actual final residual = 1.1082e-19 +elapsed time for this solve (seconds) = 0.00916628 +initial residual = 2.80373e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.12843e-15 +recursive final residual = 5.96754e-20 +actual final residual = 5.89503e-20 +elapsed time for this solve (seconds) = 0.00910829 +initial residual = 2.58283e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.87498e-16 +recursive final residual = 2.55054e-20 +actual final residual = 2.54701e-20 +elapsed time for this solve (seconds) = 0.00907133 +initial residual = 1.27211e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.56293e-15 +recursive final residual = 1.98822e-20 +actual final residual = 2.09768e-20 +elapsed time for this solve (seconds) = 0.00902329 +initial residual = 6.79775e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.21435e-15 +recursive final residual = 8.25483e-21 +actual final residual = 8.34305e-21 +elapsed time for this solve (seconds) = 0.0089042 +initial residual = 4.23937e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.18778e-15 +recursive final residual = 5.03545e-21 +actual final residual = 5.4287e-21 +elapsed time for this solve (seconds) = 0.00918497 +initial residual = 1.99822e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.04102e-15 +recursive final residual = 2.08019e-21 +actual final residual = 2.08159e-21 +elapsed time for this solve (seconds) = 0.00890498 +initial residual = 1.26064e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 7.32371e-16 +recursive final residual = 9.23259e-22 +actual final residual = 9.27558e-22 +elapsed time for this solve (seconds) = 0.00892033 +initial residual = 0.00471885 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.98379e-16 +recursive final residual = 4.7112e-18 +actual final residual = 4.96241e-18 +elapsed time for this solve (seconds) = 0.00886403 +initial residual = 0.00128655 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.35472e-15 +recursive final residual = 3.02945e-18 +actual final residual = 2.91459e-18 +elapsed time for this solve (seconds) = 0.00926777 +initial residual = 0.000534826 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.05118e-15 +recursive final residual = 1.63185e-18 +actual final residual = 1.61045e-18 +elapsed time for this solve (seconds) = 0.00900187 +initial residual = 0.000357937 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.2494e-15 +recursive final residual = 8.05145e-19 +actual final residual = 8.47011e-19 +elapsed time for this solve (seconds) = 0.00991542 +initial residual = 0.000208777 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.00599e-15 +recursive final residual = 2.10027e-19 +actual final residual = 2.18592e-19 +elapsed time for this solve (seconds) = 0.00892652 +initial residual = 9.00544e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.1389e-15 +recursive final residual = 1.92617e-19 +actual final residual = 1.86262e-19 +elapsed time for this solve (seconds) = 0.0091695 +initial residual = 0.000103335 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.83525e-15 +recursive final residual = 1.89645e-19 +actual final residual = 1.77769e-19 +elapsed time for this solve (seconds) = 0.00915815 +initial residual = 4.8394e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.33158e-15 +recursive final residual = 6.44403e-20 +actual final residual = 5.97551e-20 +elapsed time for this solve (seconds) = 0.00899852 +initial residual = 3.74656e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.17067e-15 +recursive final residual = 4.38598e-20 +actual final residual = 4.55503e-20 +elapsed time for this solve (seconds) = 0.00897386 +initial residual = 2.27495e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.37293e-15 +recursive final residual = 3.12334e-20 +actual final residual = 2.97185e-20 +elapsed time for this solve (seconds) = 0.00910883 +initial residual = 1.27501e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.23378e-15 +recursive final residual = 1.57308e-20 +actual final residual = 1.53345e-20 +elapsed time for this solve (seconds) = 0.00914233 +initial residual = 8.849e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.96923e-16 +recursive final residual = 8.82178e-21 +actual final residual = 9.40267e-21 +elapsed time for this solve (seconds) = 0.00908248 +initial residual = 4.86082e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.32217e-15 +recursive final residual = 6.42683e-21 +actual final residual = 6.32645e-21 +elapsed time for this solve (seconds) = 0.00912193 +initial residual = 2.6621e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.30788e-15 +recursive final residual = 3.4817e-21 +actual final residual = 3.40766e-21 +elapsed time for this solve (seconds) = 0.00893528 +initial residual = 1.82438e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.91238e-16 +recursive final residual = 1.80839e-21 +actual final residual = 1.74549e-21 +elapsed time for this solve (seconds) = 0.00894655 +initial residual = 1.01752e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.1997e-15 +recursive final residual = 1.22072e-21 +actual final residual = 1.19206e-21 +elapsed time for this solve (seconds) = 0.00888412 +initial residual = 0.00440456 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.19519e-15 +recursive final residual = 5.26431e-18 +actual final residual = 5.18668e-18 +elapsed time for this solve (seconds) = 0.00893367 +initial residual = 0.00131204 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.13181e-15 +recursive final residual = 2.79701e-18 +actual final residual = 2.71764e-18 +elapsed time for this solve (seconds) = 0.00900689 +initial residual = 0.000528174 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.93572e-15 +recursive final residual = 1.55057e-18 +actual final residual = 1.35122e-18 +elapsed time for this solve (seconds) = 0.0089708 +initial residual = 0.000339742 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.90007e-15 +recursive final residual = 9.85277e-19 +actual final residual = 9.90336e-19 +elapsed time for this solve (seconds) = 0.00904448 +initial residual = 0.000232727 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.05473e-16 +recursive final residual = 2.10728e-19 +actual final residual = 2.18071e-19 +elapsed time for this solve (seconds) = 0.011466 +initial residual = 8.88985e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.20585e-15 +recursive final residual = 1.96096e-19 +actual final residual = 2.04688e-19 +elapsed time for this solve (seconds) = 0.00907072 +initial residual = 0.000105456 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.70479e-15 +recursive final residual = 1.79781e-19 +actual final residual = 1.75162e-19 +elapsed time for this solve (seconds) = 0.00917442 +initial residual = 6.4464e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.10928e-15 +recursive final residual = 7.15086e-20 +actual final residual = 6.81925e-20 +elapsed time for this solve (seconds) = 0.00896951 +initial residual = 4.61193e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.3093e-15 +recursive final residual = 6.03841e-20 +actual final residual = 5.85491e-20 +elapsed time for this solve (seconds) = 0.00960268 +initial residual = 3.16482e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.21183e-15 +recursive final residual = 3.83522e-20 +actual final residual = 3.74213e-20 +elapsed time for this solve (seconds) = 0.00894748 +initial residual = 2.07945e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.08712e-15 +recursive final residual = 2.26062e-20 +actual final residual = 2.32784e-20 +elapsed time for this solve (seconds) = 0.0088661 +initial residual = 1.3378e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.86428e-16 +recursive final residual = 1.31965e-20 +actual final residual = 1.27692e-20 +elapsed time for this solve (seconds) = 0.00898363 +initial residual = 8.59704e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.14585e-15 +recursive final residual = 9.85094e-21 +actual final residual = 9.70977e-21 +elapsed time for this solve (seconds) = 0.00904543 +initial residual = 5.24551e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.66872e-15 +recursive final residual = 8.7533e-21 +actual final residual = 8.76079e-21 +elapsed time for this solve (seconds) = 0.00904901 +initial residual = 3.31446e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.46646e-15 +recursive final residual = 4.86051e-21 +actual final residual = 4.76523e-21 +elapsed time for this solve (seconds) = 0.00894563 +initial residual = 2.13641e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.69359e-16 +recursive final residual = 2.07094e-21 +actual final residual = 2.07492e-21 +elapsed time for this solve (seconds) = 0.00892331 +initial residual = 1.38093e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.54831e-16 +recursive final residual = 1.18046e-21 +actual final residual = 1.16353e-21 +elapsed time for this solve (seconds) = 0.00894005 +initial residual = 0.0041076 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.30406e-15 +recursive final residual = 5.35656e-18 +actual final residual = 5.14132e-18 +elapsed time for this solve (seconds) = 0.0089699 +initial residual = 0.00131433 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.93873e-15 +recursive final residual = 2.54813e-18 +actual final residual = 2.63284e-18 +elapsed time for this solve (seconds) = 0.00886652 +initial residual = 0.000523206 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.70306e-15 +recursive final residual = 1.41425e-18 +actual final residual = 1.3803e-18 +elapsed time for this solve (seconds) = 0.00920474 +initial residual = 0.000316666 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.09089e-15 +recursive final residual = 9.78779e-19 +actual final residual = 1.01008e-18 +elapsed time for this solve (seconds) = 0.00896307 +initial residual = 0.000244986 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.09151e-15 +recursive final residual = 2.67404e-19 +actual final residual = 2.73876e-19 +elapsed time for this solve (seconds) = 0.0088799 +initial residual = 9.56992e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.10638e-15 +recursive final residual = 2.01579e-19 +actual final residual = 2.05762e-19 +elapsed time for this solve (seconds) = 0.00901976 +initial residual = 9.69314e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.58931e-15 +recursive final residual = 1.54054e-19 +actual final residual = 1.50711e-19 +elapsed time for this solve (seconds) = 0.00897636 +initial residual = 6.87446e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.17314e-15 +recursive final residual = 8.06468e-20 +actual final residual = 8.10061e-20 +elapsed time for this solve (seconds) = 0.00907217 +initial residual = 5.14891e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.35025e-15 +recursive final residual = 6.95228e-20 +actual final residual = 6.73647e-20 +elapsed time for this solve (seconds) = 0.00896094 +initial residual = 3.58121e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.13039e-15 +recursive final residual = 4.04817e-20 +actual final residual = 4.04126e-20 +elapsed time for this solve (seconds) = 0.00905187 +initial residual = 2.86665e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.08136e-15 +recursive final residual = 3.09989e-20 +actual final residual = 2.97675e-20 +elapsed time for this solve (seconds) = 0.00894573 +initial residual = 1.85399e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.34828e-16 +recursive final residual = 1.73316e-20 +actual final residual = 1.81132e-20 +elapsed time for this solve (seconds) = 0.00894178 +initial residual = 1.16014e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.06278e-16 +recursive final residual = 1.05141e-20 +actual final residual = 1.0331e-20 +elapsed time for this solve (seconds) = 0.00911339 +initial residual = 8.39039e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.59262e-15 +recursive final residual = 1.33627e-20 +actual final residual = 1.33768e-20 +elapsed time for this solve (seconds) = 0.00920303 +initial residual = 5.47002e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.58009e-15 +recursive final residual = 8.64311e-21 +actual final residual = 8.79325e-21 +elapsed time for this solve (seconds) = 0.00892226 +initial residual = 3.6849e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.27894e-15 +recursive final residual = 4.71278e-21 +actual final residual = 4.91718e-21 +elapsed time for this solve (seconds) = 0.0089975 +initial residual = 2.39453e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.27959e-15 +recursive final residual = 3.06403e-21 +actual final residual = 2.99732e-21 +elapsed time for this solve (seconds) = 0.00895914 +initial residual = 1.58171e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 8.52279e-16 +recursive final residual = 1.34806e-21 +actual final residual = 1.38727e-21 +elapsed time for this solve (seconds) = 0.00892892 +initial residual = 1.02123e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.46551e-15 +recursive final residual = 1.49662e-21 +actual final residual = 1.49801e-21 +elapsed time for this solve (seconds) = 0.00897743 +initial residual = 0.00383318 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.39608e-15 +recursive final residual = 5.35142e-18 +actual final residual = 5.48807e-18 +elapsed time for this solve (seconds) = 0.00892253 +initial residual = 0.001301 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.80935e-15 +recursive final residual = 2.35396e-18 +actual final residual = 2.41546e-18 +elapsed time for this solve (seconds) = 0.00895484 +initial residual = 0.000517165 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.44959e-15 +recursive final residual = 1.26684e-18 +actual final residual = 1.28311e-18 +elapsed time for this solve (seconds) = 0.00907897 +initial residual = 0.000295551 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.50703e-15 +recursive final residual = 1.03651e-18 +actual final residual = 1.03501e-18 +elapsed time for this solve (seconds) = 0.00890732 +initial residual = 0.000248704 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.24769e-15 +recursive final residual = 3.10305e-19 +actual final residual = 3.08509e-19 +elapsed time for this solve (seconds) = 0.00885062 +initial residual = 0.000106851 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.13697e-15 +recursive final residual = 2.28338e-19 +actual final residual = 2.15408e-19 +elapsed time for this solve (seconds) = 0.00910943 +initial residual = 8.97137e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.43074e-15 +recursive final residual = 1.28357e-19 +actual final residual = 1.27244e-19 +elapsed time for this solve (seconds) = 0.00917186 +initial residual = 6.56253e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.40133e-15 +recursive final residual = 9.19629e-20 +actual final residual = 9.64675e-20 +elapsed time for this solve (seconds) = 0.00920623 +initial residual = 5.35807e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.22985e-15 +recursive final residual = 6.58964e-20 +actual final residual = 6.5313e-20 +elapsed time for this solve (seconds) = 0.0091135 +initial residual = 3.5627e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.90769e-16 +recursive final residual = 3.52982e-20 +actual final residual = 3.6167e-20 +elapsed time for this solve (seconds) = 0.0090345 +initial residual = 3.21609e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.0258e-15 +recursive final residual = 3.29905e-20 +actual final residual = 3.26987e-20 +elapsed time for this solve (seconds) = 0.00968081 +initial residual = 2.34337e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.77591e-16 +recursive final residual = 2.29086e-20 +actual final residual = 2.24614e-20 +elapsed time for this solve (seconds) = 0.00912966 +initial residual = 1.41398e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.60534e-16 +recursive final residual = 1.35817e-20 +actual final residual = 1.38574e-20 +elapsed time for this solve (seconds) = 0.00929499 +initial residual = 1.07479e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.43206e-15 +recursive final residual = 1.53917e-20 +actual final residual = 1.44179e-20 +elapsed time for this solve (seconds) = 0.00895231 +initial residual = 7.8289e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.395e-15 +recursive final residual = 1.09213e-20 +actual final residual = 1.04404e-20 +elapsed time for this solve (seconds) = 0.0089474 +initial residual = 5.52702e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.34971e-15 +recursive final residual = 7.45987e-21 +actual final residual = 7.50432e-21 +elapsed time for this solve (seconds) = 0.00890454 +initial residual = 3.53771e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.57689e-15 +recursive final residual = 5.57859e-21 +actual final residual = 5.73127e-21 +elapsed time for this solve (seconds) = 0.00887572 +initial residual = 2.64659e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.07493e-15 +recursive final residual = 2.84491e-21 +actual final residual = 2.83825e-21 +elapsed time for this solve (seconds) = 0.00889024 +initial residual = 1.64446e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.38106e-15 +recursive final residual = 2.2711e-21 +actual final residual = 2.11063e-21 +elapsed time for this solve (seconds) = 0.00890386 +initial residual = 1.29858e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.25921e-15 +recursive final residual = 1.63518e-21 +actual final residual = 1.57144e-21 +elapsed time for this solve (seconds) = 0.00905363 +initial residual = 0.00294577 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.20342e-15 +recursive final residual = 6.49076e-18 +actual final residual = 6.69348e-18 +elapsed time for this solve (seconds) = 0.00893384 +initial residual = 0.00107779 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.63765e-15 +recursive final residual = 2.84284e-18 +actual final residual = 2.94816e-18 +elapsed time for this solve (seconds) = 0.00882268 +initial residual = 0.000638123 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.94406e-15 +recursive final residual = 1.24055e-18 +actual final residual = 1.22827e-18 +elapsed time for this solve (seconds) = 0.00889319 +initial residual = 0.00076761 +Right GMRES iteration 1 of maxIter = 11: relative residual = 6.90172e-16 +recursive final residual = 5.29783e-19 +actual final residual = 5.34484e-19 +elapsed time for this solve (seconds) = 0.00943127 +initial residual = 0.000503103 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.78056e-15 +recursive final residual = 8.95806e-19 +actual final residual = 9.09562e-19 +elapsed time for this solve (seconds) = 0.00918996 +initial residual = 0.000339089 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.53106e-15 +recursive final residual = 5.19166e-19 +actual final residual = 5.36745e-19 +elapsed time for this solve (seconds) = 0.00912838 +initial residual = 0.000228514 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.35214e-15 +recursive final residual = 3.08984e-19 +actual final residual = 3.09908e-19 +elapsed time for this solve (seconds) = 0.00905803 +initial residual = 0.000164945 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.55407e-15 +recursive final residual = 2.56336e-19 +actual final residual = 2.59745e-19 +elapsed time for this solve (seconds) = 0.00929436 +initial residual = 0.00011125 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.34837e-15 +recursive final residual = 1.50007e-19 +actual final residual = 1.4746e-19 +elapsed time for this solve (seconds) = 0.0093636 +initial residual = 9.86297e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.15341e-15 +recursive final residual = 1.13761e-19 +actual final residual = 1.16461e-19 +elapsed time for this solve (seconds) = 0.00895096 +initial residual = 6.49322e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.27764e-15 +recursive final residual = 8.29602e-20 +actual final residual = 8.25026e-20 +elapsed time for this solve (seconds) = 0.00905717 +initial residual = 4.54232e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.4707e-15 +recursive final residual = 6.68038e-20 +actual final residual = 6.95998e-20 +elapsed time for this solve (seconds) = 0.00905553 +initial residual = 3.4011e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.18001e-15 +recursive final residual = 4.01333e-20 +actual final residual = 4.05593e-20 +elapsed time for this solve (seconds) = 0.00889489 +initial residual = 2.30722e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.7635e-15 +recursive final residual = 4.06878e-20 +actual final residual = 4.12112e-20 +elapsed time for this solve (seconds) = 0.0090375 +initial residual = 1.66251e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.46607e-15 +recursive final residual = 2.43736e-20 +actual final residual = 2.41868e-20 +elapsed time for this solve (seconds) = 0.00902625 +initial residual = 1.1443e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.67581e-15 +recursive final residual = 1.91763e-20 +actual final residual = 1.86059e-20 +elapsed time for this solve (seconds) = 0.00897097 +initial residual = 9.87333e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.44866e-15 +recursive final residual = 1.43031e-20 +actual final residual = 1.49027e-20 +elapsed time for this solve (seconds) = 0.00894548 +initial residual = 6.49639e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.36915e-15 +recursive final residual = 8.89455e-21 +actual final residual = 8.60827e-21 +elapsed time for this solve (seconds) = 0.00888466 +initial residual = 4.96824e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.79806e-15 +recursive final residual = 8.9332e-21 +actual final residual = 9.08622e-21 +elapsed time for this solve (seconds) = 0.00887439 +initial residual = 3.39906e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.28154e-15 +recursive final residual = 4.35602e-21 +actual final residual = 4.2893e-21 +elapsed time for this solve (seconds) = 0.00894135 +initial residual = 2.42724e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.79915e-16 +recursive final residual = 2.37849e-21 +actual final residual = 2.463e-21 +elapsed time for this solve (seconds) = 0.00891169 +initial residual = 1.76094e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.5442e-15 +recursive final residual = 2.71924e-21 +actual final residual = 2.68576e-21 +elapsed time for this solve (seconds) = 0.00892326 +initial residual = 1.24843e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 9.27959e-16 +recursive final residual = 1.15849e-21 +actual final residual = 1.20707e-21 +elapsed time for this solve (seconds) = 0.00891428 +initial residual = 9.12061e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.31786e-15 +recursive final residual = 2.11403e-19 +actual final residual = 2.27726e-19 +elapsed time for this solve (seconds) = 0.00886262 +initial residual = 4.95989e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.50475e-15 +recursive final residual = 1.73832e-19 +actual final residual = 1.65704e-19 +elapsed time for this solve (seconds) = 0.00901993 +initial residual = 4.56354e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.46602e-15 +recursive final residual = 6.69025e-20 +actual final residual = 6.4525e-20 +elapsed time for this solve (seconds) = 0.0091531 +initial residual = 2.12118e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.60034e-15 +recursive final residual = 5.51579e-20 +actual final residual = 5.59408e-20 +elapsed time for this solve (seconds) = 0.00905995 +initial residual = 1.85582e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.72382e-15 +recursive final residual = 3.19909e-20 +actual final residual = 3.23149e-20 +elapsed time for this solve (seconds) = 0.00911967 +initial residual = 1.39743e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.38506e-15 +recursive final residual = 1.93552e-20 +actual final residual = 1.96605e-20 +elapsed time for this solve (seconds) = 0.00902343 +initial residual = 8.80683e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.93926e-15 +recursive final residual = 1.70788e-20 +actual final residual = 1.65456e-20 +elapsed time for this solve (seconds) = 0.00919302 +initial residual = 5.32775e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.15145e-15 +recursive final residual = 6.13462e-21 +actual final residual = 6.13263e-21 +elapsed time for this solve (seconds) = 0.00897889 +initial residual = 4.05243e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.85612e-15 +recursive final residual = 7.52179e-21 +actual final residual = 7.88745e-21 +elapsed time for this solve (seconds) = 0.00901474 +initial residual = 2.62327e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.11693e-15 +recursive final residual = 2.93001e-21 +actual final residual = 2.82949e-21 +elapsed time for this solve (seconds) = 0.00901447 +initial residual = 1.82989e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.01807e-15 +recursive final residual = 1.86296e-21 +actual final residual = 1.877e-21 +elapsed time for this solve (seconds) = 0.00903082 +initial residual = 1.23498e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.19446e-15 +recursive final residual = 1.47513e-21 +actual final residual = 1.44352e-21 +elapsed time for this solve (seconds) = 0.00901162 +initial residual = 7.98291e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.36125e-15 +recursive final residual = 1.88496e-19 +actual final residual = 2.00606e-19 +elapsed time for this solve (seconds) = 0.00896534 +initial residual = 4.14916e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 3.2035e-15 +recursive final residual = 1.32918e-19 +actual final residual = 1.35349e-19 +elapsed time for this solve (seconds) = 0.00909757 +initial residual = 3.62716e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.51502e-15 +recursive final residual = 5.49521e-20 +actual final residual = 5.60137e-20 +elapsed time for this solve (seconds) = 0.00897607 +initial residual = 1.68653e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.60598e-15 +recursive final residual = 4.39506e-20 +actual final residual = 4.65208e-20 +elapsed time for this solve (seconds) = 0.00893585 +initial residual = 1.4904e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.67562e-15 +recursive final residual = 2.49734e-20 +actual final residual = 2.46124e-20 +elapsed time for this solve (seconds) = 0.00898091 +initial residual = 1.13499e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.35195e-15 +recursive final residual = 1.53445e-20 +actual final residual = 1.63008e-20 +elapsed time for this solve (seconds) = 0.00897957 +initial residual = 7.29275e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.84274e-15 +recursive final residual = 1.34386e-20 +actual final residual = 1.30853e-20 +elapsed time for this solve (seconds) = 0.00897249 +initial residual = 4.48577e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.09158e-15 +recursive final residual = 4.89659e-21 +actual final residual = 5.15307e-21 +elapsed time for this solve (seconds) = 0.00894342 +initial residual = 3.37287e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.67355e-15 +recursive final residual = 5.64466e-21 +actual final residual = 5.73503e-21 +elapsed time for this solve (seconds) = 0.00898289 +initial residual = 2.17898e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.16725e-15 +recursive final residual = 2.54342e-21 +actual final residual = 2.57242e-21 +elapsed time for this solve (seconds) = 0.00901369 +initial residual = 1.57043e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.10404e-15 +recursive final residual = 1.73382e-21 +actual final residual = 1.69187e-21 +elapsed time for this solve (seconds) = 0.00899065 +initial residual = 1.05739e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.24155e-15 +recursive final residual = 1.3128e-21 +actual final residual = 1.31634e-21 +elapsed time for this solve (seconds) = 0.00901834 +initial residual = 6.82219e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.38502e-15 +recursive final residual = 1.62711e-19 +actual final residual = 1.56479e-19 +elapsed time for this solve (seconds) = 0.00890989 +initial residual = 3.43317e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.99178e-15 +recursive final residual = 1.02713e-19 +actual final residual = 1.06857e-19 +elapsed time for this solve (seconds) = 0.00899163 +initial residual = 2.88155e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.46239e-15 +recursive final residual = 4.21394e-20 +actual final residual = 4.25983e-20 +elapsed time for this solve (seconds) = 0.00897636 +initial residual = 1.32822e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.87089e-15 +recursive final residual = 3.81317e-20 +actual final residual = 3.77097e-20 +elapsed time for this solve (seconds) = 0.00895046 +initial residual = 1.14839e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.75861e-15 +recursive final residual = 2.01958e-20 +actual final residual = 1.92308e-20 +elapsed time for this solve (seconds) = 0.00886559 +initial residual = 8.93656e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.39673e-15 +recursive final residual = 1.24819e-20 +actual final residual = 1.29628e-20 +elapsed time for this solve (seconds) = 0.00895778 +initial residual = 5.82464e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.76751e-15 +recursive final residual = 1.02951e-20 +actual final residual = 9.7869e-21 +elapsed time for this solve (seconds) = 0.00946495 +initial residual = 3.51474e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.15201e-15 +recursive final residual = 4.04901e-21 +actual final residual = 4.11541e-21 +elapsed time for this solve (seconds) = 0.00897526 +initial residual = 2.62199e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.63616e-15 +recursive final residual = 4.28999e-21 +actual final residual = 4.1809e-21 +elapsed time for this solve (seconds) = 0.00907803 +initial residual = 1.66851e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.19737e-15 +recursive final residual = 1.99782e-21 +actual final residual = 2.02017e-21 +elapsed time for this solve (seconds) = 0.00899498 +initial residual = 1.17985e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.20981e-15 +recursive final residual = 1.4274e-21 +actual final residual = 1.45999e-21 +elapsed time for this solve (seconds) = 0.00896359 +initial residual = 5.75087e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.28379e-15 +recursive final residual = 1.31338e-19 +actual final residual = 1.28412e-19 +elapsed time for this solve (seconds) = 0.00908285 +initial residual = 2.8301e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.92102e-15 +recursive final residual = 8.26679e-20 +actual final residual = 7.97394e-20 +elapsed time for this solve (seconds) = 0.00913667 +initial residual = 2.26425e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.43252e-15 +recursive final residual = 3.24359e-20 +actual final residual = 3.40633e-20 +elapsed time for this solve (seconds) = 0.00906251 +initial residual = 1.03289e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.86348e-15 +recursive final residual = 2.95767e-20 +actual final residual = 2.95272e-20 +elapsed time for this solve (seconds) = 0.0090322 +initial residual = 8.68607e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.76345e-15 +recursive final residual = 1.53175e-20 +actual final residual = 1.54524e-20 +elapsed time for this solve (seconds) = 0.00914657 +initial residual = 6.87378e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.56934e-15 +recursive final residual = 1.07873e-20 +actual final residual = 1.0452e-20 +elapsed time for this solve (seconds) = 0.00893315 +initial residual = 4.6304e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.50307e-15 +recursive final residual = 6.9598e-21 +actual final residual = 7.44552e-21 +elapsed time for this solve (seconds) = 0.0090708 +initial residual = 2.75566e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.21402e-15 +recursive final residual = 3.34543e-21 +actual final residual = 3.32427e-21 +elapsed time for this solve (seconds) = 0.00960043 +initial residual = 2.04611e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.46313e-15 +recursive final residual = 2.99372e-21 +actual final residual = 3.00874e-21 +elapsed time for this solve (seconds) = 0.00899516 +initial residual = 1.27768e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.27096e-15 +recursive final residual = 1.62388e-21 +actual final residual = 1.57985e-21 +elapsed time for this solve (seconds) = 0.009008 +initial residual = 4.76106e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.41955e-15 +recursive final residual = 1.15196e-19 +actual final residual = 1.16404e-19 +elapsed time for this solve (seconds) = 0.00879934 +initial residual = 2.32328e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.84042e-15 +recursive final residual = 6.59909e-20 +actual final residual = 6.43872e-20 +elapsed time for this solve (seconds) = 0.00890175 +initial residual = 1.76773e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.55265e-15 +recursive final residual = 2.74468e-20 +actual final residual = 2.58105e-20 +elapsed time for this solve (seconds) = 0.00888735 +initial residual = 7.89227e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.86694e-15 +recursive final residual = 2.26267e-20 +actual final residual = 2.27811e-20 +elapsed time for this solve (seconds) = 0.00909343 +initial residual = 6.39402e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.7401e-15 +recursive final residual = 1.11262e-20 +actual final residual = 1.08365e-20 +elapsed time for this solve (seconds) = 0.00893331 +initial residual = 5.17252e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.51445e-15 +recursive final residual = 7.8335e-21 +actual final residual = 8.25447e-21 +elapsed time for this solve (seconds) = 0.00893816 +initial residual = 3.53046e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.40719e-15 +recursive final residual = 4.96804e-21 +actual final residual = 5.10179e-21 +elapsed time for this solve (seconds) = 0.00890313 +initial residual = 2.1355e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.30307e-15 +recursive final residual = 2.78271e-21 +actual final residual = 2.55452e-21 +elapsed time for this solve (seconds) = 0.00900375 +initial residual = 1.55032e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.42747e-15 +recursive final residual = 2.21304e-21 +actual final residual = 2.12991e-21 +elapsed time for this solve (seconds) = 0.00901221 +initial residual = 3.88175e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.44396e-15 +recursive final residual = 9.48684e-20 +actual final residual = 9.44029e-20 +elapsed time for this solve (seconds) = 0.00901371 +initial residual = 1.87481e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.84756e-15 +recursive final residual = 5.33864e-20 +actual final residual = 5.27101e-20 +elapsed time for this solve (seconds) = 0.00899234 +initial residual = 1.36944e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.52597e-15 +recursive final residual = 2.08973e-20 +actual final residual = 2.13466e-20 +elapsed time for this solve (seconds) = 0.00891673 +initial residual = 6.08902e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.74387e-15 +recursive final residual = 1.67075e-20 +actual final residual = 1.74286e-20 +elapsed time for this solve (seconds) = 0.00889911 +initial residual = 4.54397e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.74506e-15 +recursive final residual = 7.92951e-21 +actual final residual = 8.68318e-21 +elapsed time for this solve (seconds) = 0.00898908 +initial residual = 3.82723e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.56863e-15 +recursive final residual = 6.00352e-21 +actual final residual = 5.75723e-21 +elapsed time for this solve (seconds) = 0.00918046 +initial residual = 2.59731e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.38222e-15 +recursive final residual = 3.59005e-21 +actual final residual = 3.74406e-21 +elapsed time for this solve (seconds) = 0.00914957 +initial residual = 1.64197e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.22844e-15 +recursive final residual = 2.01706e-21 +actual final residual = 2.06768e-21 +elapsed time for this solve (seconds) = 0.00888686 +initial residual = 1.15141e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.26063e-15 +recursive final residual = 1.4515e-21 +actual final residual = 1.56733e-21 +elapsed time for this solve (seconds) = 0.0088999 +initial residual = 3.1277e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.33872e-15 +recursive final residual = 7.31482e-20 +actual final residual = 7.16504e-20 +elapsed time for this solve (seconds) = 0.00887682 +initial residual = 1.51397e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.84746e-15 +recursive final residual = 4.31097e-20 +actual final residual = 4.3923e-20 +elapsed time for this solve (seconds) = 0.00893841 +initial residual = 1.07521e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.56206e-15 +recursive final residual = 1.67955e-20 +actual final residual = 1.66408e-20 +elapsed time for this solve (seconds) = 0.00887548 +initial residual = 4.74665e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.79011e-15 +recursive final residual = 1.32437e-20 +actual final residual = 1.2894e-20 +elapsed time for this solve (seconds) = 0.00889321 +initial residual = 3.28514e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.76904e-15 +recursive final residual = 5.81153e-21 +actual final residual = 6.17751e-21 +elapsed time for this solve (seconds) = 0.00886395 +initial residual = 2.72884e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.60017e-15 +recursive final residual = 4.36661e-21 +actual final residual = 4.46444e-21 +elapsed time for this solve (seconds) = 0.00889831 +initial residual = 1.86638e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.26075e-15 +recursive final residual = 2.35304e-21 +actual final residual = 2.48073e-21 +elapsed time for this solve (seconds) = 0.00893683 +initial residual = 1.25524e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.22158e-15 +recursive final residual = 1.53338e-21 +actual final residual = 1.52385e-21 +elapsed time for this solve (seconds) = 0.00896378 +initial residual = 2.48781e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.33217e-15 +recursive final residual = 5.802e-20 +actual final residual = 5.81841e-20 +elapsed time for this solve (seconds) = 0.00910615 +initial residual = 1.22328e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.71927e-15 +recursive final residual = 3.32642e-20 +actual final residual = 3.50805e-20 +elapsed time for this solve (seconds) = 0.0088882 +initial residual = 8.44587e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.47166e-15 +recursive final residual = 1.24294e-20 +actual final residual = 1.28949e-20 +elapsed time for this solve (seconds) = 0.0089265 +initial residual = 3.70326e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.51904e-15 +recursive final residual = 9.32867e-21 +actual final residual = 9.87359e-21 +elapsed time for this solve (seconds) = 0.00889693 +initial residual = 2.46458e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.85805e-15 +recursive final residual = 4.57931e-21 +actual final residual = 4.70288e-21 +elapsed time for this solve (seconds) = 0.00891217 +initial residual = 2.10888e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.4755e-15 +recursive final residual = 3.11164e-21 +actual final residual = 3.04211e-21 +elapsed time for this solve (seconds) = 0.00918763 +initial residual = 1.41357e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.3208e-15 +recursive final residual = 1.86705e-21 +actual final residual = 1.82086e-21 +elapsed time for this solve (seconds) = 0.00893603 +initial residual = 1.07179e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.16805e-15 +recursive final residual = 1.25191e-21 +actual final residual = 1.27719e-21 +elapsed time for this solve (seconds) = 0.0113632 +initial residual = 1.95289e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.3942e-15 +recursive final residual = 4.67561e-20 +actual final residual = 4.56663e-20 +elapsed time for this solve (seconds) = 0.00882362 +initial residual = 9.75459e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.81238e-15 +recursive final residual = 2.74336e-20 +actual final residual = 2.81356e-20 +elapsed time for this solve (seconds) = 0.00885144 +initial residual = 6.65322e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.52079e-15 +recursive final residual = 1.01182e-20 +actual final residual = 9.97745e-21 +elapsed time for this solve (seconds) = 0.00890774 +initial residual = 3.03389e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.311e-15 +recursive final residual = 7.01133e-21 +actual final residual = 7.07638e-21 +elapsed time for this solve (seconds) = 0.00902037 +initial residual = 1.80359e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.7491e-15 +recursive final residual = 3.15465e-21 +actual final residual = 3.15544e-21 +elapsed time for this solve (seconds) = 0.00898653 +initial residual = 1.62104e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.29658e-15 +recursive final residual = 2.1018e-21 +actual final residual = 2.16906e-21 +elapsed time for this solve (seconds) = 0.00900223 +initial residual = 1.08289e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.32495e-15 +recursive final residual = 1.43477e-21 +actual final residual = 1.4045e-21 +elapsed time for this solve (seconds) = 0.00886088 +initial residual = 1.56146e-05 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.27646e-15 +recursive final residual = 3.5546e-20 +actual final residual = 3.48844e-20 +elapsed time for this solve (seconds) = 0.00884268 +initial residual = 7.98773e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 2.77734e-15 +recursive final residual = 2.21846e-20 +actual final residual = 2.31774e-20 +elapsed time for this solve (seconds) = 0.00907123 +initial residual = 5.35259e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.40846e-15 +recursive final residual = 7.53889e-21 +actual final residual = 7.20568e-21 +elapsed time for this solve (seconds) = 0.00893809 +initial residual = 2.48999e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.8116e-15 +recursive final residual = 4.51087e-21 +actual final residual = 4.79208e-21 +elapsed time for this solve (seconds) = 0.00888797 +initial residual = 1.56003e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.64173e-15 +recursive final residual = 2.56114e-21 +actual final residual = 2.55264e-21 +elapsed time for this solve (seconds) = 0.0089819 +initial residual = 1.5281e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.13716e-15 +recursive final residual = 1.73769e-21 +actual final residual = 1.72608e-21 +elapsed time for this solve (seconds) = 0.00884548 +initial residual = 1.02225e-06 +Right GMRES iteration 1 of maxIter = 11: relative residual = 1.51703e-15 +recursive final residual = 1.55078e-21 +actual final residual = 1.54069e-21 +elapsed time for this solve (seconds) = 0.00917808 diff --git a/examples/inverse_problems/mechanics/path-dependent/2hole_data/plot_force_disp.py b/examples/inverse_problems/mechanics/path-dependent/2hole_data/plot_force_disp.py new file mode 100644 index 0000000..59d4bc4 --- /dev/null +++ b/examples/inverse_problems/mechanics/path-dependent/2hole_data/plot_force_disp.py @@ -0,0 +1,112 @@ +from pancax.fem.read_exodus_mesh import _read_node_sets +import argparse +import matplotlib.pyplot as plt +import netCDF4 as nc +import numpy as np +import pandas + +parser = argparse.ArgumentParser(description="A script to plot force displacement curves.") + +parser.add_argument( + "--displacement-variable", + help="name of the displacment variable" +) +parser.add_argument( + "--force-variable", + help="name of the internal force variable" +) +# parser.add_argument( +# "--pinn-exodus-file", +# help="The name of the PINN exodus file" +# ) +# parser.add_argument( +# "--pinn-nodeset", +# help="name of the Sierra node set to read data from" +# ) +parser.add_argument( + "--sierra-exodus-file", + help="The name of the Sierra exodus file." +) +parser.add_argument( + "--sierra-nodeset", + help="name of the Sierra node set to read data from" +) + +args = parser.parse_args() + +disp_var_name = args.displacement_variable +force_var_name = args.force_variable +# pinn_exo_file = args.pinn_exodus_file +# pinn_nset_name = args.pinn_nodeset +sierra_exo_file = args.sierra_exodus_file +sierra_nset_name = args.sierra_nodeset + + +def extract_data(exo_file, nset_name, disp_var_name, force_var_name): + displacements = [] + forces = [] + with nc.Dataset(exo_file, "r") as data: + nsets = _read_node_sets(data) + node_var_names = data.variables["name_nod_var"] + node_var_names.set_auto_mask(False) + node_var_names = [b"".join(c).decode("UTF-8").rstrip() for c in node_var_names[:]] + + assert nset_name in nsets.keys(), f"Available nodesets are {nsets.keys()}" + assert disp_var_name in node_var_names + assert force_var_name in node_var_names + + nset = nsets[nset_name] + disp_var_index = node_var_names.index(disp_var_name) + force_var_index = node_var_names.index(force_var_name) + + disp_var_name = f"vals_nod_var{disp_var_index + 1}" + force_var_name = f"vals_nod_var{force_var_index + 1}" + + times = data.variables["time_whole"][:] + + disp_all_times = data.variables[disp_var_name] + force_all_times = data.variables[force_var_name] + + for n, time in enumerate(times): + disp = np.array(disp_all_times[n, nset]) + force = np.array(force_all_times[n, nset]) + + displacements.append(np.mean(disp)) + forces.append(np.sum(force)) + + times = np.array(times) + displacements = np.array(displacements) + forces = np.array(forces) + + return times, displacements, forces + +# p_times, p_displacements, p_forces = extract_data(pinn_exo_file, pinn_nset_name, disp_var_name, force_var_name) +s_times, s_displacements, s_forces = extract_data(sierra_exo_file, sierra_nset_name, disp_var_name, force_var_name) + +# save sierra exo file to csv file +df_data = np.array([s_times, s_displacements, s_forces]).T +df_columns = ["times", "disps", "forces"] +df = pandas.DataFrame(df_data, columns=df_columns) +df.to_csv("global_data.csv", index=False) + + +plt.figure(1) +# plt.plot(p_times, p_displacements, linestyle="None", marker="o") +plt.plot(s_times, s_displacements) +plt.xlabel("Time") +plt.ylabel("Displacement") +plt.savefig("time_disp.png") + +plt.figure(2) +# plt.plot(p_times, p_forces, linestyle="None", marker="o") +plt.plot(s_times, s_forces) +plt.xlabel("Time") +plt.ylabel("Force") +plt.savefig("time_force.png") + +plt.figure(3) +# plt.plot(p_displacements, p_forces, linestyle="None", marker="o") +plt.plot(s_displacements, s_forces) +plt.xlabel("Displacement") +plt.ylabel("Force") +plt.savefig("disp_force.png") diff --git a/examples/inverse_problems/mechanics/path-dependent/2hole_data/process_data.py b/examples/inverse_problems/mechanics/path-dependent/2hole_data/process_data.py new file mode 100644 index 0000000..45fd26b --- /dev/null +++ b/examples/inverse_problems/mechanics/path-dependent/2hole_data/process_data.py @@ -0,0 +1,42 @@ +from pancax.fem.read_exodus_mesh import _read_node_sets +import netCDF4 as nc +import numpy as np +import pandas + + +with nc.Dataset("uniaxial_tension_hyperviscoelasticity.e", "r") as data: + times = data.variables["time_whole"][:] + nsets = _read_node_sets(data) + + node_var_names = data.variables["name_nod_var"] + node_var_names.set_auto_mask(False) + node_var_names = [b"".join(c).decode("UTF-8").rstrip() for c in node_var_names[:]] + + disp_x = data.variables[f"vals_nod_var{node_var_names.index("displ_x") + 1}"] + disp_y = data.variables[f"vals_nod_var{node_var_names.index("displ_y") + 1}"] + disp_z = data.variables[f"vals_nod_var{node_var_names.index("displ_z") + 1}"] + + + # eventually set to node set nodes + # nodes = np.arange(len(disp_x[0, :])) + nodes = nsets["nodelist_1"] + coords = np.array([ + data.variables["coordx"][:], + data.variables["coordy"][:], + data.variables["coordz"][:] + ]).T + coords = coords[nodes, :] + + data_all = [] + for n, time in enumerate(times): + temp_disp = np.array([ + disp_x[n, nodes], disp_y[n, nodes], disp_z[n, nodes] + ]).T + temp_data = np.hstack([coords, time * np.ones((coords.shape[0], 1)), temp_disp]) + data_all.append(temp_data) + + data_all = np.vstack(data_all) + column_names = ["x", "y", "z", "t", "u_x", "u_y", "u_z"] + df = pandas.DataFrame(data_all, columns=column_names) + print(df) + df.to_csv("2holes_full_field_data.csv", index=False) diff --git a/examples/inverse_problems/mechanics/path-dependent/2hole_data/uniaxial_tension_hyperviscoelasticity.i b/examples/inverse_problems/mechanics/path-dependent/2hole_data/uniaxial_tension_hyperviscoelasticity.i new file mode 100755 index 0000000..d69793e --- /dev/null +++ b/examples/inverse_problems/mechanics/path-dependent/2hole_data/uniaxial_tension_hyperviscoelasticity.i @@ -0,0 +1,229 @@ +begin sierra IsothermalCompression15pcf + + title Compression under isothermal conditions + + begin feti equation solver feti + end + + begin gdsw equation solver gdsw + end + + #initial_height = {initial_height = 1} # m + #initial_area = {initial_area = 1} # m^2 + + #load_time = {load_time = 1.0} + #relax_time = {relax_time = 1.0} + #end_time = {end_time = load_time + relax_time} + + begin definition for function applied_disp_fun + type is piecewise linear + begin values + 0.0 0.0 + {load_time} 1.0 + {load_time + relax_time} 1.0 + end + end + + ###################################################################### + ### ### + ### Geometry, Section, and Mesh Definitions ### + ### ### + ###################################################################### + + ### -------------------------------------------------- + ### Directions + ### -------------------------------------------------- + + define direction x with vector 1.0 0.0 0.0 + define direction y with vector 0.0 1.0 0.0 + define direction z with vector 0.0 0.0 1.0 + + ### -------------------------------------------------- + ### Material Model Definitions + ### -------------------------------------------------- + + begin property specification for material foam + density = 240.0 + + begin parameters for model modularhyperviscoelasticdamage + hyper viscoelastic formulation = ISV + strain energy density = neohookean + damage model = none + shift factor model = none + neq model = quadraticmandel + #viscous shear rate model = linear + + bulk modulus = 10 + shear modulus = 0.855 + + num prony terms = 1 + f2 1 = 1 + relax time 1 = 0.25 + end + end + + ### -------------------------------------------------- + ### Element Block Definitions + ### -------------------------------------------------- + + begin solid section solid_1 + formulation = fully_integrated + end + + begin total lagrange section solid_2 + end + + begin solid section solid_3 + end + + begin finite element model mesh1 + database name = 2holes.g + Database Type = exodusII + + begin parameters for block block_1 + material foam + model = modularhyperviscoelasticdamage + section = solid_1 + end + end + + ###################################################################### + ### ### + ### ADAGIO Procedure ### + ### ### + ###################################################################### + + begin adagio procedure adagio_procedure + + ### -------------------------------------------------- + ### Time Step Definition + ### -------------------------------------------------- + + begin time control + + begin time stepping block pload + start time = 0.0 + begin parameters for adagio region adagio_region + number of time steps = 11 + end + end + + begin time stepping block prelax + start time = {load_time} + begin parameters for adagio region adagio_region + number of time steps = 11 + end + end + + termination time = {end_time} + end + + ###################################################################### + ### ### + ### ADAGIO Region ### + ### ### + ###################################################################### + + begin adagio region adagio_region + use finite element model mesh1 + logfile precision = 7 + + ### -------------------------------------------------- + ### Output Commands + ### -------------------------------------------------- + + ###################################################################### + ### ### + ### Output Commands ### + ### ### + ###################################################################### + + + #User Output + # The reaction force will be postive in compression for nset_y0 + # Field Output + begin Results Output output_adagio_region + Database Name = %B.e + Database Type = exodusII + at step 0, increment = 1 + nodal Variables = displacement as displ + nodal Variables = reaction as reaction_forces + node variables = force_internal as internal_force + element Variables = stress as stress + element variables = shift_factor as shift_factor + element variables = fv_1 as Fv_1 + element variables = temperature as temperature + element variables = first_pk_stress + end + + + # Heartbeat Output + begin heartbeat ouput DATAHB + stream name = %B.hb + append = off + precision = 10 + legend = on + format=CSV #default + labels=off + timestamp format="" + at time 0, increment = 1.0E-6 + global time as time + global timestep as timestep + end + + ### -------------------------------------------------- + ### Boundary Conditions + ### -------------------------------------------------- + + begin initial temperature + block = block_1 + magnitude = 75.0 + end + + # Platen Condition Only During Loading + begin prescribed displacement + node set = nodelist_5 + direction = y + function = applied_disp_fun + #scale factor = -1.0 + end + + # 3 Symmetry Conditions + begin fixed displacement + node set = nodelist_3 + components = x y z + end + + begin fixed displacement + node set = nodelist_5 + components = x z + end + + + ### -------------------------------------------------- + ### Solver definition + ### -------------------------------------------------- + + begin solver + begin cg + reference = belytschko + target relative residual = 1.0e-6 + target residual = 1.0e-6 + acceptable relative residual = 1.0E-4 + acceptable residual = 1.0E-5 + Maximum Iterations = 5000 + #Line Search secant + iteration print = 25 + + begin full tangent preconditioner + linear solver = gdsw + #tangent diagonal scale = 1e-6 + #iteration update = 50 + maximum updates for modelproblem = 5 + small number of iterations = 50 + end + end + end + end + end +end diff --git a/examples/inverse_problems/mechanics/path-dependent/script.py b/examples/inverse_problems/mechanics/path-dependent/script.py index 637312e..0790274 100644 --- a/examples/inverse_problems/mechanics/path-dependent/script.py +++ b/examples/inverse_problems/mechanics/path-dependent/script.py @@ -11,7 +11,6 @@ full_field_data_file = find_data_file('full_field_data.csv') global_data_file = find_data_file('global_data.csv') mesh_file = find_mesh_file('mesh_quad4.g') -# logger = Logger('pinn.log', log_every=250) history = HistoryWriter('history_pd.csv', log_every=250, write_every=250) pp = PostProcessor(mesh_file) @@ -55,6 +54,7 @@ ################## ics = [ ] + def dirichlet_bc_func(xs, t, nn): length = 1. final_displacement = 1. @@ -105,9 +105,9 @@ def dirichlet_bc_func(xs, t, nn): ################## params = Parameters(problem, key, seperate_networks=False, network_type=MLP) physics_and_global_loss = PathDependentEnergyResidualAndReactionLoss( - residual_weight=250.e9, reaction_weight=250.e9 + residual_weight=250.e6, reaction_weight=250.e6 ) -full_field_data_loss = FullFieldDataLoss(weight=10.e9) +full_field_data_loss = FullFieldDataLoss(weight=10.e6) def loss_function(params, problem, inputs, outputs): loss_1, aux_1 = physics_and_global_loss(params, problem) diff --git a/examples/inverse_problems/mechanics/path-dependent/script_3d_2holes.py b/examples/inverse_problems/mechanics/path-dependent/script_3d_2holes.py new file mode 100644 index 0000000..ce88b58 --- /dev/null +++ b/examples/inverse_problems/mechanics/path-dependent/script_3d_2holes.py @@ -0,0 +1,158 @@ +from pancax import * + +################## +# for reproducibility +################## +key = random.PRNGKey(10) + +################## +# file management +################## +# full_field_data_file = find_data_file('full_field_data.csv') +# global_data_file = find_data_file('global_data.csv') +# mesh_file = find_mesh_file('mesh_quad4.g') +full_field_data_file = "2hole_data/2holes_full_field_data.csv" +global_data_file = "2hole_data/global_data.csv" +mesh_file = "2hole_data/2holes.g" +history = HistoryWriter('history_pd_2holes.csv', log_every=250, write_every=250) +pp = PostProcessor(mesh_file) + +################## +# data setup +################## +field_data = FullFieldData(full_field_data_file, ['x', 'y', 'z', 't'], ['u_x', 'u_y', 'u_z']) +# the 4 below is for the nodeset id +global_data = GlobalData( + global_data_file, 'times', 'disps', 'forces', + mesh_file, 5, 'y', # these inputs specify where to measure reactions + n_time_steps=21, # the number of time steps for inverse problems is specified here + plotting=True, + interpolate=False +) +times = global_data.times + +################## +# domain setup +################## +domain = VariationalDomain(mesh_file, times, q_order=2) + +################## +# physics setup +################## +model = NeoHookean( + bulk_modulus=10.0, + # bulk_modulus=BoundedProperty(0.01, 5., key=key), + shear_modulus=BoundedProperty(0.01, 5., key=key) +) +model = SimpleFeFv( + # NeoHookean(bulk_modulus=10.0, shear_modulus=1.0), + model, + PronySeries(moduli=[1.0], relaxation_times=[0.25]), + WLF(C1=17.44, C2=51.6, theta_ref=60.0), +) +physics = SolidMechanics(model, ThreeDimensional()) + +################## +# ics/bcs +################## +ics = [ +] + +def dirichlet_bc_func(xs, t, nn): + length = 1. + final_displacement = 1. + # x, y, z = xs[0], xs[1], xs[2] + y = xs[1] + u_out = nn + u_out = u_out.at[0].set( + y * (y - length) * t * nn[0] / length**2 + ) + + u_out = jax.lax.cond( + t > 1., + lambda u: u.at[1].set( + y * final_displacement / length + + y * (y - length) * t * nn[1] / length**2 + ), + lambda u: u.at[1].set( + y * t * final_displacement / length + + y * (y - length) * t * nn[1] / length**2 + ), + u_out + ) + # u_out = u_out.at[2].set( + # y * (y - length) * t * nn[2] / length**2 + # ) + return u_out + +# model = NeoHookean(bulk_modulus=10., shear_modulus=0.855) +physics = physics.update_dirichlet_bc_func(dirichlet_bc_func) +dirichlet_bcs = [ + DirichletBC('nodeset_3', 0), + DirichletBC('nodeset_3', 1), + DirichletBC('nodeset_3', 2), + DirichletBC('nodeset_5', 0), + DirichletBC('nodeset_5', 1), + DirichletBC('nodeset_5', 2) +] +neumann_bcs = [ +] + +################## +# problem setup +################## +problem = InverseProblem(domain, physics, field_data, global_data, ics, dirichlet_bcs, neumann_bcs) + +# print(problem) + +################## +# ML setup +################## +params = Parameters(problem, key, seperate_networks=False, network_type=MLP) +physics_and_global_loss = PathDependentEnergyResidualAndReactionLoss( + energy_weight=0., + # residual_weight=250.e9, reaction_weight=250.e9 + residual_weight=250., reaction_weight=250. +) +full_field_data_loss = FullFieldDataLoss(weight=100.) + +def loss_function(params, problem, inputs, outputs): + loss_1, aux_1 = physics_and_global_loss(params, problem) + loss_2, aux_2 = full_field_data_loss(params, problem, inputs, outputs) + aux_1.update(aux_2) + return loss_1 + loss_2, aux_1 + +loss_function = UserDefinedLossFunction(loss_function) +# loss_function = EnergyLoss() +opt = Adam( + loss_function, + learning_rate=1.0e-3, + has_aux=True, + transition_steps=50000, + jit=True +) + +################## +# Training +################## +print(params) +opt, opt_st = opt.init(params) + + +# testing stuff +dataloader = FullFieldDataLoader(problem.field_data) + +for epoch in range(250000): + for inputs, outputs in dataloader.dataloader(8 * 1024): + params, opt_st, loss = opt.step(params, opt_st, problem, inputs, outputs) + + history.write_data("epoch", epoch) + history.write_loss(loss) + history.write_data("shear_modulus", params.physics.constitutive_model.eq_model.shear_modulus()) + + print(epoch) + print(loss) + print(params.physics.constitutive_model.eq_model.shear_modulus()) + + if epoch % 1000 == 0: + history.to_csv() diff --git a/examples/inverse_problems/mechanics/vanilla/example_v2.py b/examples/inverse_problems/mechanics/vanilla/example_v2.py index 6bba6e7..3910d8f 100644 --- a/examples/inverse_problems/mechanics/vanilla/example_v2.py +++ b/examples/inverse_problems/mechanics/vanilla/example_v2.py @@ -3,7 +3,6 @@ ################## # for reproducibility ################## -# key = random.key(10) key = random.PRNGKey(10) key = random.split(key, 8) @@ -13,7 +12,7 @@ full_field_data_file = find_data_file('data_full_field.csv') global_data_file = find_data_file('data_global_data.csv') mesh_file = find_mesh_file('mesh.g') -# logger = Logger('pinn.log', log_every=250) + history = HistoryWriter('history.csv', log_every=250, write_every=250) pp = PostProcessor(mesh_file) @@ -34,18 +33,14 @@ ################## times = jnp.linspace(0.0, 1.0, len(global_data.outputs)) domain = VariationalDomain(mesh_file, times) + ################## # physics setup ################## -# @eqx.filter_vmap -# def models(key): model = NeoHookean( bulk_modulus=0.833, - # bulk_modulus=BoundedProperty(0.01, 5., key=key), shear_modulus=BoundedProperty(0.01, 5., key=key) ) - # return model - physics = SolidMechanics(model, PlaneStrain()) ################## @@ -57,7 +52,7 @@ final_displacement=jnp.max(field_data.outputs[:, 0]), length=1.0, direction='x', n_dimensions=2 ) -physics = physics.update_dirichlet_bc_func(dirichlet_bc_func) +# physics = physics.update_dirichlet_bc_func(dirichlet_bc_func) dirichlet_bcs = [ DirichletBC('nodeset_2', 0), # left edge fixed in x DirichletBC('nodeset_2', 1), # left edge fixed in y @@ -77,7 +72,10 @@ ################## # ML setup ################## -params = Parameters(problem, key)#, seperate_networks=True, network_type=ResNet) +params = Parameters( + problem, key, + dirichlet_bc_func=dirichlet_bc_func +)#, seperate_networks=True, network_type=ResNet) print(params) physics_and_global_loss = EnergyResidualAndReactionLoss( residual_weight=250.e9, reaction_weight=250.e9 @@ -87,12 +85,18 @@ def loss_function(params, problem, inputs, outputs): loss_1, aux_1 = physics_and_global_loss(params, problem) loss_2, aux_2 = full_field_data_loss(params, problem, inputs, outputs) + # reg = 1.e9 * jnp.sum(jnp.sum(jnp.abs(param)) for param in eqx.filter(params.fields.networks.mlp.layers, eqx.is_array)) + # nn_params = eqx.partition(params.fields, eqx.is_array) + # reg = 1.e9 * jnp.sum(jnp.sum(jnp.abs(p)) for p in nn_params) + reg = eqx.filter(params.fields, lambda x: isinstance(x, jax.Array) and x.ndim > 1) + reg = 1.e7 * sum(jnp.sum(jnp.abs(x)) for x in jax.tree_util.tree_leaves(reg)) aux_1.update(aux_2) - return loss_1 + loss_2, aux_1 + aux_1.update(dict(reg=reg)) + return loss_1 + loss_2 + reg, aux_1 loss_function = UserDefinedLossFunction(loss_function) -opt = Adam(loss_function, learning_rate=1.0e-3, has_aux=True, transition_steps=50000) +opt = Adam(loss_function, learning_rate=1.0e-3, has_aux=True, transition_steps=500) ################## # Training @@ -100,7 +104,7 @@ def loss_function(params, problem, inputs, outputs): opt, opt_st = opt.init(params) dataloader = FullFieldDataLoader(problem.field_data) -for epoch in range(10000): +for epoch in range(100000): for inputs, outputs in dataloader.dataloader(1024): params, opt_st, loss = opt.step(params, opt_st, problem, inputs, outputs) diff --git a/pancax/cli/cli.py b/pancax/cli/cli.py index 469306e..682cdbd 100644 --- a/pancax/cli/cli.py +++ b/pancax/cli/cli.py @@ -1,7 +1,6 @@ -from importlib import import_module from pathlib import Path import argparse -# import jax +import runpy import sys @@ -43,13 +42,11 @@ def pancax_main(): parser = argparse.ArgumentParser( prog='pancax', - # prog=code_name, description='Physics Informed Neural Network library written in jax', epilog='Reach out to chamel@sandia.gov for help' ) parser.add_argument( '-d', '--debug-nans', - # default='off', action='store_true', default=False, help='Flag to debug nans. Options are on or off.' @@ -122,13 +119,22 @@ def pancax_main(): print(code_name, flush=True) # read input file and run it if input_file.suffix == '.py': - try: - # with jax.profiler.trace("/tmp/jax-trace", - # create_perfetto_link=True): - import_module(str(input_file).replace('/', '.')) - except ModuleNotFoundError: - # things bug out currently if we use above in the bootstrapper - print('Finished running') + # input_file_dir = os.path.dirname(os.path.abspath(input_file)) + # os.chdir(input_file_dir) + + # input_file = os.path.basename(input_file) + # with open(input_file, "r") as f: + # code = f.read() + # exec(code) + # subprocess.run(["python", input_file]) + # try: + # import_module(str(input_file).replace('/', '.')) + # except: + # print('Finished running') + # with open(input_file, "r") as f: + # code = f.read() + # exec(code, globals()) + runpy.run_path(str(input_file)) else: raise ValueError('Only python files are supported currently!') diff --git a/pancax/constitutive_models/mechanics/hyperviscoelasticity/simple_fefv.py b/pancax/constitutive_models/mechanics/hyperviscoelasticity/simple_fefv.py index 79922aa..1560de8 100644 --- a/pancax/constitutive_models/mechanics/hyperviscoelasticity/simple_fefv.py +++ b/pancax/constitutive_models/mechanics/hyperviscoelasticity/simple_fefv.py @@ -22,7 +22,8 @@ def energy( grad_u: Tensor, theta: Scalar, Z: State, dt: Scalar ) -> Scalar: # setup properties - a_T = self.shift_factor_model(grad_u, theta, Z, dt) + # a_T = self.shift_factor_model(grad_u, theta, Z, dt) + a_T = 1. Gs = self.prony_series.moduli taus = a_T * self.prony_series.relaxation_times @@ -30,42 +31,71 @@ def energy( n_prony = self.num_prony_terms() Fvs_old = Z.reshape((n_prony, 3, 3)) - # kinematics - F = self.deformation_gradient(grad_u) - Fe_trials = vmap(lambda Fv_old: F @ jnp.linalg.inv(Fv_old))(Fvs_old) - Ce_trials = vmap(lambda Fe: Fe.T @ Fe)(Fe_trials) - Ee_trials = vmap(tensor_math.mtk_log_sqrt)(Ce_trials) + # new approach vmapinng over all branches + psi_eq = self.equilibirum_branch(grad_u, theta) + psi_neq, Fv_news = vmap( + self.non_equilibrium_branch, + in_axes=(None, 0, None, 0, 0, None) + )(grad_u, Fvs_old, dt, Gs, taus, a_T) + Z = Fv_news.ravel() + return psi_eq + jnp.sum(psi_neq), Z + + # # kinematics + # F = self.deformation_gradient(grad_u) + # Fe_trials = vmap(lambda Fv_old: F @ jnp.linalg.inv(Fv_old))(Fvs_old) + # Ce_trials = vmap(lambda Fe: Fe.T @ Fe)(Fe_trials) + # Ee_trials = vmap(tensor_math.mtk_log_sqrt)(Ce_trials) + + # # update state + # delta_Evs = vmap(self.state_increment, in_axes=(0, 0, 0, None))( + # Ee_trials, Gs, taus, dt + # ) + # Ees = Ee_trials - delta_Evs + # Dvs = delta_Evs / dt + # Fvs_new = vmap( + # lambda Fv_old, + # delta_Ev: jax.scipy.linalg.expm(delta_Ev) @ Fv_old, + # in_axes=(0, 0), + # )(Fvs_old, delta_Evs) + # Z = Fvs_new.ravel() - # update state - delta_Evs = vmap(self.state_increment, in_axes=(0, 0, 0, None))( - Ee_trials, Gs, taus, dt - ) - Ees = Ee_trials - delta_Evs - Dvs = delta_Evs / dt - Fvs_new = vmap( - lambda Fv_old, delta_Ev: jax.scipy.linalg.expm(delta_Ev) @ Fv_old, - in_axes=(0, 0), - )(Fvs_old, delta_Evs) - Z = Fvs_new.flatten() + # # constitutive calculation (energy and dissipation) + # psi_eq, _ = self.equilibirum_branch(grad_u, theta) + # psi_neq = jnp.sum(vmap(self.neq_strain_energy, in_axes=(0, 0))( + # Ees, Gs + # )) + # d = jnp.sum(vmap(self.dissipation, in_axes=(0, 0, 0))(Dvs, Gs, taus)) + # # psi_neq = 0. + # # d = 0. + # return psi_eq + psi_neq + d, Z + # # return psi_eq + psi_neq, Z - # constitutive calculation (energy and dissipation) - psi_eq, _ = self.eq_model.energy(grad_u, theta, jnp.zeros(3), dt) - psi_neq = jnp.sum(vmap(self.neq_strain_energy, in_axes=(0, 0))( - Ees, Gs - )) - d = jnp.sum(vmap(self.dissipation, in_axes=(0, 0, 0))(Dvs, Gs, taus)) - # psi_neq = 0. - # d = 0. - return psi_eq + psi_neq + d, Z - # return psi_eq + psi_neq, Z + def equilibirum_branch(self, grad_u, theta): + Z = jnp.zeros(0) + dt = 0. + return self.eq_model.energy(grad_u, theta, Z, dt)[0] def initial_state(self): Fvs = vmap(lambda _: jnp.eye(3))(range(self.num_prony_terms())) - return Fvs.flatten() + return Fvs.ravel() def neq_strain_energy(self, Ee, G): return G * tensor_math.norm_of_deviator_squared(Ee) + def non_equilibrium_branch(self, grad_u, Fv_old, dt, G, tau, a_T): + tau = a_T * tau + F = self.deformation_gradient(grad_u) + Fe_trial = F @ jnp.linalg.inv(Fv_old) + Ee_trial = tensor_math.mtk_log_sqrt(Fe_trial.T @ Fe_trial) + delta_Ev = self.state_increment(Ee_trial, G, tau, dt) + Ee = Ee_trial - delta_Ev + Dv = delta_Ev / dt + Fv_new = jax.scipy.linalg.expm(delta_Ev) @ Fv_old + psi_neq = G * tensor_math.norm_of_deviator_squared(Ee) + d = self.dissipation(Dv, G, tau) + return psi_neq + d, Fv_new + # return psi_neq, Fv_new + @property def num_state_variables(self): return self.num_prony_terms() * 9 diff --git a/pancax/domains/delta_pinn_domain.py b/pancax/domains/delta_pinn_domain.py index 8ab8886..f531cfb 100644 --- a/pancax/domains/delta_pinn_domain.py +++ b/pancax/domains/delta_pinn_domain.py @@ -27,7 +27,7 @@ def __init__( super().__init__(mesh_file, times, p_order=p_order, q_order=q_order) self.n_eigen_values = n_eigen_values physics = LaplaceBeltrami() - physics = physics.update_normalization(self) + # physics = physics.update_normalization(self) self.physics = physics.update_var_name_to_method() self.eigen_modes = self.solve_eigen_problem() @@ -51,6 +51,7 @@ def solve_eigen_problem(self): with Timer("eigen solve"): nModes = self.n_eigen_values mu, modes = linalg.eigsh(A=K, k=nModes, M=M, which="SM") + # mu, modes = linalg.eigsh(A=M, k=nModes, M=K, which="LA") lambdas = 1.0 / mu for n in range(len(lambdas)): diff --git a/pancax/loss_functions/weak_form_loss_functions.py b/pancax/loss_functions/weak_form_loss_functions.py index 6445254..a2b7403 100644 --- a/pancax/loss_functions/weak_form_loss_functions.py +++ b/pancax/loss_functions/weak_form_loss_functions.py @@ -188,7 +188,7 @@ def _vmap_func(n): jnp.zeros((ne, nq)) ) - def body(n, carry): + def fori_loop_body(n, carry): pi, state_old, dt = carry t = problem.times[n] pi_t, state_new = self.load_step(params, problem, t, dt, state_old) @@ -198,11 +198,24 @@ def body(n, carry): carry = pi, state_old, dt return carry - # pi, state_old = jax.lax.fori_loop( - # 0, len(problem.times), body, (pi, state_old) + def scan_body(carry, n): + pi, state_old, dt = carry + t = problem.times[n] + pi_t, state_new = self.load_step(params, problem, t, dt, state_old) + pi = pi + pi_t + state_old = state_new + dt = problem.times[n] - problem.times[n - 1] + carry = pi, state_old, dt + return carry, None + + # starting at 1 assuming time step 0 is initial condition + # pi, state_old, dt = jax.lax.fori_loop( + # 1, len(problem.times), fori_loop_body, (pi, state_old, dt) # ) - pi, state_old, dt = jax.lax.fori_loop( - 1, len(problem.times), body, (pi, state_old, dt) + (pi, state_old, dt), _ = jax.lax.scan( + scan_body, + (pi, state_old, dt), + jnp.arange(1, len(problem.times)) ) loss = pi return self.weight * loss, dict(energy=pi) diff --git a/pancax/math/scalar_root_find.py b/pancax/math/scalar_root_find.py new file mode 100644 index 0000000..06fc5d4 --- /dev/null +++ b/pancax/math/scalar_root_find.py @@ -0,0 +1,170 @@ +# boosted from optimism +import equinox as eqx +import jax +import jax.numpy as jnp + + +class Settings(eqx.Module): + max_iters: int + x_tol: float + r_tol: float + + +def get_settings(max_iters=50, x_tol=1e-13, r_tol=0): + return Settings(max_iters, x_tol, r_tol) + + +def find_root(f, x0, bracket, settings): + """Find a root of a nonlinear scalar-valued equation. + + Uses Newton's method, safeguarded with bisection. + See rtsafe(...) from Numerical Recipes. This function is differentiable + using Jax transforms, and can be compsed with `vmap` and `jit`. + + Parameters + ========== + f : callable + Scalar function of which to find a root. + x0 : real + Initial guess for root. The value of x0 should be within the range + defined by bracket. If not, the initial guess will be automatically + clipped to the nearest bound. + bracket : sequence of 2 reals (list, tuple, numpy array, etc) + Upper and lower bounds for the root search. The existence of a + root is inferred by checking that the values of `f` at both brackets + do not have the same sign. If this check fails, `nan` is returned. + settings : A settings object from this module + Algorithmic settings. + + Returns + ======= + x : real (or nan) + Argument of f such that f(x) = 0 (within provided tolerance). If the + root is not bracketed, `nan` is returned. + """ + return jax.lax.custom_root( + f, x0, + lambda F, X0: rtsafe_(F, X0, bracket, settings), + lambda g, y: y / g(1.0), + has_aux=True + ) + + +def rtsafe_(f, x0, bracket, settings): + # Find root of a scalar function + # Newton's method, safeguarded with bisection + # from Numerical Recipes + + max_iters = settings.max_iters + x_tol = settings.x_tol + r_tol = settings.r_tol + + f_and_fprime = jax.value_and_grad(f) + + converged = False + + fl = f(bracket[0]) + fh = f(bracket[1]) + functionCalls = 2 + + # Fix initial guess if outside bracket. + # Must do this before the steps that change the initial guess + # as a means to exit early (ie, root bracketing check and + # testing bracket values as solutions). + x0 = jnp.clip(x0, bracket[0], bracket[1]) + + # check that root is bracketed + x0 = jnp.where( + fl * fh < 0.0, + x0, + jnp.nan + ) + + # Check if either bracket is a root + leftBracketIsSolution = (fl == 0.0) + x0 = jnp.where(leftBracketIsSolution, bracket[0], x0) + converged = jnp.where(leftBracketIsSolution, True, converged) + + rightBracketIsSolution = (fh == 0.0) + x0 = jnp.where(rightBracketIsSolution, bracket[1], x0) + converged = jnp.where(rightBracketIsSolution, True, converged) + + # ORIENT THE SEARCH SO THAT F(XL) < 0. + xl, xh = jax.lax.cond( + fl < 0, + lambda b: (b[0], b[1]), + lambda b: (b[1], b[0]), + bracket + ) + + # INITIALIZE THE ''STEP SIZE BEFORE LAST'', AND THE LAST STEP + dxOld = jnp.abs(bracket[1] - bracket[0]) + dx = dxOld + + F, DF = f_and_fprime(x0) + functionCalls += 1 + + def cond(carry): + root, dx, dxOld, F, DF, xl, xh, converged, i = carry + keepLooping = (~converged) & (i < max_iters) + return keepLooping + + def loop_body(carry): + root, dx, dxOld, F, DF, xl, xh, converged, i = carry + + newtonOutOfRange = ( + (root - xh) * DF - F) * \ + ((root - xl) * DF - F) > 0 + newtonDecreasingSlowly = jnp.abs(2. * F) > jnp.abs(dxOld * DF) + dxOld = dx + root, dx, converged = jax.lax.cond( + newtonOutOfRange | newtonDecreasingSlowly, + bisection_step, + newton_step, + root, xl, xh, DF, F + ) + + F, DF = f_and_fprime(root) + + # MAINTAIN THE BRACKET ON THE ROOT + xl, xh = jax.lax.cond( + F < 0, + lambda rt, lo, hi: (rt, hi), + lambda rt, lo, hi: (lo, rt), + root, xl, xh + ) + i += 1 + converged = converged | (jnp.abs(dx) < x_tol) | (jnp.abs(F) < r_tol) + return root, dx, dxOld, F, DF, xl, xh, converged, i + + x, dx, _, F, _, _, _, converged, iters = jax.lax.while_loop( + cond, + loop_body, + (x0, dx, dxOld, F, DF, xl, xh, converged, 0) + ) + + x = jnp.where(converged, x, jnp.nan) + + # BT 10/14/2025 As of Jax 0.4.34, + # the has_aux argument of custom_root is broken + # and cannot handle non-differentiable outputs. + # See https://github.com/jax-ml/jax/issues/24295 + # return x, SolutionInfo(converged=converged, function_calls=functionCalls, + # + # iterations=iters, residual_norm=np.abs(F), correction_norm=np.abs(dx)) + return x, None + + +def bisection_step(x, xl, xh, df, f): + dx = 0.5 * (xh - xl) + x = xl + dx + converged = (x == xl) + return x, dx, converged + + +def newton_step(x, xl, xh, df, f): + dx = -f / df + temp = x + x = x + dx + converged = (x == temp) + return x, dx, converged diff --git a/pancax/networks/fields.py b/pancax/networks/fields.py index a9ddbf1..c82c3be 100644 --- a/pancax/networks/fields.py +++ b/pancax/networks/fields.py @@ -1,13 +1,20 @@ from .base import AbstractPancaxModel +from jaxtyping import Array, Float from .mlp import MLP from typing import Callable, List, Optional, Union import equinox as eqx import jax +import jax.numpy as jnp class Field(AbstractPancaxModel): + dirichlet_bc_func: Callable networks: Union[eqx.Module, List[eqx.Module]] seperate_networks: bool + t_min: Float[Array, "1"] + t_max: Float[Array, "1"] + x_mins: Float[Array, "nd"] # = jnp.zeros(3) + x_maxs: Float[Array, "nd"] # = jnp.zeros(3) def __init__( self, @@ -20,12 +27,16 @@ def __init__( n_layers: Optional[int] = 3, n_neurons: Optional[int] = 50, activation: Optional[Callable] = jax.nn.tanh, - # + # initialize to behavior that doesn't use an analytic + # dirichlet bc func + dirichlet_bc_func: Optional[Callable] = lambda x, t, z: z, network_type: type = MLP ): n_dims = problem.n_dims n_dofs = problem.n_dofs + self.dirichlet_bc_func = dirichlet_bc_func + if seperate_networks: @eqx.filter_vmap @@ -53,13 +64,28 @@ def init(k): ) self.seperate_networks = seperate_networks + self.t_min = jnp.min(problem.times, axis=0) + self.t_max = jnp.max(problem.times, axis=0) + self.x_mins = jnp.min(problem.coords, axis=0) + self.x_maxs = jnp.max(problem.coords, axis=0) + + # def __call__(self, x): + def __call__(self, x, t): + x_norm = (x - self.x_mins) / (self.x_maxs - self.x_mins) + t_norm = (t - self.t_min) / (self.t_max - self.t_min) + inputs = jnp.hstack((x_norm, t_norm)) - def __call__(self, x): if self.seperate_networks: @eqx.filter_vmap(in_axes=(eqx.if_array(0), None)) def func(params, x): return params(x) - return func(self.networks, x)[:, 0] + # z = func(self.networks, x)[:, 0] + z = func(self.networks, inputs)[:, 0] else: - return self.networks(x) + # z = self.networks(x) + z = self.networks(inputs) + + # TODO call dirichlet bc func + + return self.dirichlet_bc_func(x, t, z) diff --git a/pancax/networks/parameters.py b/pancax/networks/parameters.py index b6d17b0..5170183 100644 --- a/pancax/networks/parameters.py +++ b/pancax/networks/parameters.py @@ -2,7 +2,7 @@ from .fields import Field from .mlp import MLP from jaxtyping import Array, Float -from typing import Optional, Union +from typing import Callable, Optional, Union import equinox as eqx import jax.tree_util as jtu @@ -29,11 +29,13 @@ def __init__( problem, constitutive_model, key, + dirichlet_bc_func: Optional[Callable] = lambda x, t, z: z, network_type: Optional[eqx.Module] = MLP, seperate_networks: Optional[bool] = False ) -> None: fields = Field( problem, key, + dirichlet_bc_func=dirichlet_bc_func, network_type=network_type, seperate_networks=seperate_networks ) @@ -60,6 +62,7 @@ def __init__( self, problem, key, + dirichlet_bc_func: Optional[Callable] = lambda x, t, z: z, network_type: Optional[eqx.Module] = MLP, seperate_networks: Optional[bool] = False ) -> None: @@ -68,6 +71,7 @@ def __init__( n_ensemble = 1 parameters = _Parameters( problem, problem.physics.constitutive_model, key, + dirichlet_bc_func=dirichlet_bc_func, network_type=network_type, seperate_networks=seperate_networks ) @@ -79,6 +83,7 @@ def __init__( def vmap_func(key, constitutive_model): return _Parameters( problem, constitutive_model, key, + dirichlet_bc_func=dirichlet_bc_func, network_type=network_type, seperate_networks=seperate_networks ) @@ -117,16 +122,16 @@ def freeze_fields_filter(self): # freeze normalization filter_spec = eqx.tree_at( - lambda x: x.parameters.physics.x_mins, filter_spec, replace=False + lambda x: x.parameters.fields.x_mins, filter_spec, replace=False ) filter_spec = eqx.tree_at( - lambda x: x.parameters.physics.x_maxs, filter_spec, replace=False + lambda x: x.parameters.fields.x_maxs, filter_spec, replace=False ) filter_spec = eqx.tree_at( - lambda x: x.parameters.physics.t_min, filter_spec, replace=False + lambda x: x.parameters.fields.t_min, filter_spec, replace=False ) filter_spec = eqx.tree_at( - lambda x: x.parameters.physics.t_max, filter_spec, replace=False + lambda x: x.parameters.fields.t_max, filter_spec, replace=False ) return filter_spec @@ -142,19 +147,19 @@ def freeze_physics_filter(self): def freeze_physics_normalization_filter(self): filter_spec = jtu.tree_map(lambda _: True, self) filter_spec = eqx.tree_at( - lambda tree: tree.parameters.physics.x_mins, filter_spec, + lambda tree: tree.parameters.fields.x_mins, filter_spec, replace=False ) filter_spec = eqx.tree_at( - lambda tree: tree.parameters.physics.x_maxs, filter_spec, + lambda tree: tree.parameters.fields.x_maxs, filter_spec, replace=False ) filter_spec = eqx.tree_at( - lambda tree: tree.parameters.physics.t_min, filter_spec, + lambda tree: tree.parameters.fields.t_min, filter_spec, replace=False ) filter_spec = eqx.tree_at( - lambda tree: tree.parameters.physics.t_max, filter_spec, + lambda tree: tree.parameters.fields.t_max, filter_spec, replace=False ) return filter_spec diff --git a/pancax/physics_kernels/base.py b/pancax/physics_kernels/base.py index 1baf7b7..8aa03e3 100644 --- a/pancax/physics_kernels/base.py +++ b/pancax/physics_kernels/base.py @@ -1,6 +1,5 @@ from abc import abstractmethod from jax import hessian, jacfwd, value_and_grad, vmap -from jaxtyping import Array, Float from pancax.fem import assemble_sparse_stiffness_matrix from typing import Callable, Dict import equinox as eqx @@ -9,13 +8,58 @@ import numpy as onp +def _output_names(var_name: str, var_type: str): + if var_type == "full_tensor": + return ( + f"{var_name}_xx", f"{var_name}_xy", f"{var_name}_xz", + f"{var_name}_yx", f"{var_name}_yy", f"{var_name}_yz", + f"{var_name}_zx", f"{var_name}_zy", f"{var_name}_zz", + ) + elif var_type == "scalar": + return (var_name,) + else: + raise ValueError(f"Unsupported variable type {var_type}") + + def element_pp( func, physics, + is_constitutive_method=False, is_kinematic_method=False, is_state_method=False, jit=True ): + def constitutive_method(func, params, domain, t, us, state_old, dt, *args): + coords, conns, fspace = domain.coords, domain.conns, domain.fspace + us = us[conns, :] + xs = coords[conns, :] + + def _vmap_func(x, u): + vs = fspace.shape_function_values(x) + grad_vs = fspace.shape_function_gradients(x) + JxWs = fspace.JxWs(x) + xs = vmap(lambda y: jnp.dot(y, x))(vs) + us = vmap(lambda y: jnp.dot(y, u))(vs) + grad_us = vmap(lambda y: (y.T @ u).T)(grad_vs) + return xs, us, grad_us, JxWs + + xs, us, grad_us, JxWs = vmap(_vmap_func, in_axes=(0, 0))(xs, us) + # in_axes_1 = (None, 0, None, 0, 0, 0, None) + len(args) * (None,) + # in_axes_2 = (None, 0, None, 0, 0, 0, None) + len(args) * (None,) + + # outs, _ = vmap( + # vmap(func, in_axes=in_axes_2), in_axes=in_axes_1)( + # params, xs, t, us, grad_us, state_old, dt + # ) + grad_us = vmap(vmap(physics.formulation.modify_field_gradient))( + grad_us + ) + theta = 60. + vals, _ = vmap( + vmap(func, in_axes=(0, None, 0, None)), in_axes=(0, None, 0, None) + )(grad_us, theta, state_old, dt) + return vals + def kinematic_method(func, params, domain, t, us, state_old, dt, *args): coords, conns, fspace = domain.coords, domain.conns, domain.fspace us = us[conns, :] @@ -61,10 +105,15 @@ def _vmap_func(x, u): params, xs, t, us, grad_us, state_old, dt ) return state_news - # vals = vmap(vmap(func))(grad_us) - # return vals - if is_kinematic_method: + if is_constitutive_method: + def new_func(p, d, t, u, s, dt, *args): + return constitutive_method( + # physics.constitutive_model.deformation_gradient, + func, + p, d, t, u, s, dt, *args + ) + elif is_kinematic_method: def new_func(p, d, t, u, s, dt, *args): return kinematic_method( # physics.constitutive_model.deformation_gradient, @@ -128,17 +177,6 @@ def standard_pp(physics): class BasePhysics(eqx.Module): field_value_names: tuple[str, ...] var_name_to_method: Dict[str, Callable] - # needs to be set - # by default it just returns network output - dirichlet_bc_func: Callable # = lambda x, t, z: z - # TODO how to make this dimension dependent? - # finally use generics in python? - # maybe loop in the mechanics formulation here and rename it? - x_mins: Float[Array, "nd"] # = jnp.zeros(3) - x_maxs: Float[Array, "nd"] # = jnp.zeros(3) - t_min: Float[Array, "1"] - t_max: Float[Array, "1"] - # is_delta_pinn: bool def __init__( @@ -147,25 +185,11 @@ def __init__( ) -> None: self.field_value_names = field_value_names self.var_name_to_method = {} - self.dirichlet_bc_func = lambda x, t, z: z - # TODO improve this error handling - self.x_mins = jnp.zeros(3) - self.x_maxs = jnp.zeros(3) - self.t_min = jnp.zeros(1) - self.t_max = jnp.ones(1) - self.is_delta_pinn = False # TODO need to modify for delta pinn def field_values(self, field, x, t, *args): - # x = (x - stop_gradient(self.x_mins)) / - # (stop_gradient(self.x_maxs) - stop_gradient(self.x_mins)) - x_norm = (x - self.x_mins) / (self.x_maxs - self.x_mins) - t_norm = (t - self.t_min) / (self.t_max - self.t_min) - inputs = jnp.hstack((x_norm, t_norm)) - z = field(inputs) - u = self.dirichlet_bc_func(x, t, z) - return u + return field(x, t) def field_gradients(self, field, x, t, *args): return jacfwd(self.field_values, argnums=1)(field, x, t, *args) @@ -190,27 +214,6 @@ def field_second_time_derivatives(self, field, x, t, *args): def num_state_variables(self): return 0 - def update_dirichlet_bc_func(self, bc_func: Callable): - # get_fn = lambda x: x.dirichlet_bc_func - def get_fn(x): - return x.dirichlet_bc_func - new_pytree = eqx.tree_at(get_fn, self, bc_func) - return new_pytree - - def update_normalization(self, domain): - x_mins = jnp.min(domain.coords, axis=0) - x_maxs = jnp.max(domain.coords, axis=0) - t_min = jnp.min(domain.times, axis=0) - t_max = jnp.max(domain.times, axis=0) - # x_mins = jnp.append(x_mins, jnp.min(domain.times)) - # x_maxs = jnp.append(x_maxs, jnp.max(domain.times)) - - new_pytree = eqx.tree_at(lambda x: x.x_mins, self, x_mins) - new_pytree = eqx.tree_at(lambda x: x.x_maxs, new_pytree, x_maxs) - new_pytree = eqx.tree_at(lambda x: x.t_min, new_pytree, t_min) - new_pytree = eqx.tree_at(lambda x: x.t_max, new_pytree, t_max) - return new_pytree - def update_var_name_to_method(self): var_name_to_method = standard_pp(self) new_pytree = eqx.tree_at( @@ -341,7 +344,7 @@ def potential_energy_and_residual( params, domain, t, us, state_old, dt, *args ) return (pi, state_new), jnp.linalg.norm( - f.flatten()[domain.dof_manager.unknownIndices] + f.ravel()[domain.dof_manager.unknownIndices] ) def potential_energy_residual_and_reaction_force( @@ -351,7 +354,7 @@ def potential_energy_residual_and_reaction_force( pi, f = self.potential_energy_and_internal_force( params, domain, t, us, state_old, dt, *args ) - R = jnp.linalg.norm(f.flatten()[domain.dof_manager.unknownIndices]) + R = jnp.linalg.norm(f.ravel()[domain.dof_manager.unknownIndices]) reaction = jnp.sum( f[global_data.reaction_nodes, global_data.reaction_dof] ) diff --git a/pancax/physics_kernels/solid_mechanics.py b/pancax/physics_kernels/solid_mechanics.py index 2c20b01..bc1a8e4 100644 --- a/pancax/physics_kernels/solid_mechanics.py +++ b/pancax/physics_kernels/solid_mechanics.py @@ -1,5 +1,5 @@ from abc import abstractmethod -from .base import BaseEnergyFormPhysics, element_pp +from .base import BaseEnergyFormPhysics, element_pp, _output_names from pancax.math.tensor_math import tensor_2D_to_3D import equinox as eqx import jax.numpy as jnp @@ -102,11 +102,7 @@ def _internal_force(p, d, t, u, s, dt, *args): self, is_kinematic_method=True ), - "names": ( - "F_xx", "F_xy", "F_xz", - "F_yx", "F_yy", "F_yz", - "F_zx", "F_zy", "F_zz" - ) + "names": _output_names("F", "full_tensor") } var_name_to_method["I1_bar"] = { "method": element_pp( @@ -114,7 +110,15 @@ def _internal_force(p, d, t, u, s, dt, *args): self, is_kinematic_method=True ), - "names": ("I1_bar",) + "names": _output_names("I1_bar", "scalar") + } + var_name_to_method["pk1_stress"] = { + "method": element_pp( + self.constitutive_model.pk1_stress, + self, + is_constitutive_method=True + ), + "names": _output_names("P", "full_tensor") } # special case handled just so parser doesn't break var_name_to_method["state_variables"] = { diff --git a/pancax/post_processor.py b/pancax/post_processor.py index 36a1442..4a69f34 100644 --- a/pancax/post_processor.py +++ b/pancax/post_processor.py @@ -242,22 +242,112 @@ def _init( ) n = n + 1 - # def write_outputs(self, params, problem): - # if params.is_ensemble: - # parts = self.output_file.split('.') - # base_name = parts[0] - # ext = parts[1] - # n_emsemble = jnp.arange(params.n_ensemble) - - # @eqx.filter_vmap() - # def vmap_func(params, n): - # output_file = f"{base_name}_{n}.e" - # assert False, "Need to implement for ensemble" - # else: - # self._write_outputs(params, problem, self.output_file) + def _write_step_outputs( + self, + dataset, n, + params, problem, time, dt, state_old + ): + physics = problem.physics + + # write new time value + time_var = dataset.variables["time_whole"] + time_var[n] = time + + # useful for all methods later on + us = physics.var_name_to_method["field_values"]["method"]( + params, problem, time + ) + # calculate something with state update at least once to update + # state later + _, state_new = physics.potential_energy( + params, problem.domain, time, us, state_old, dt + ) + + node_var_num = 0 + for var in self.node_variables: + if ( + var == "internal_force" + ): + pred = physics.\ + var_name_to_method["internal_force"]["method"]( + params, problem.domain, + time, us, state_old, dt + ) + for i in range(pred.shape[1]): + node_var = dataset.variables[ + f"vals_nod_var{node_var_num + 1}" + ] + node_var[n, :] = pred[:, i] + node_var_num = node_var_num + 1 + else: + output = physics.var_name_to_method[var] + pred = onp.array( + output["method"](params, problem, time) + ) + if len(pred.shape) > 2: + for i in range(pred.shape[1]): + for j in range(pred.shape[2]): + # k = pred.shape[1] * i + j + assert False, "Support this" + # self.exo.put_node_variable_values( + # output['names'][k], n + 1, pred[:, i, j]) + else: + for i in range(pred.shape[1]): + node_var = dataset.variables[ + f"vals_nod_var{node_var_num + 1}" + ] + node_var[n, :] = pred[:, i] + node_var_num = node_var_num + 1 + + elem_var_num = 0 + for var in self.element_variables: + output = physics.var_name_to_method[var] + pred = onp.array( + output["method"]( + params, problem, time, us, state_old, dt + ) + ) + + # for q in range(pred.shape[1]): + # for i in range(pred.shape[2]) + if len(pred.shape) == 2: + for q in range(pred.shape[1]): + elem_var = dataset.variables[ + # NOTE this will only work for + # single block models + f"vals_elem_var{elem_var_num + 1}eb1" + ] + elem_var[n, :] = pred[:, q] + elem_var_num = elem_var_num + 1 + elif len(pred.shape) == 3: + # this is the state variable case + for s in range(pred.shape[2]): + for q in range(pred.shape[1]): + elem_var = dataset.variables[ + # NOTE this will only work for + # single block models + f"vals_elem_var{elem_var_num + 1}eb1" + ] + elem_var[n, :] = pred[:, q, s] + elem_var_num = elem_var_num + 1 + elif len(pred.shape) == 4: + temp = pred.reshape((pred.shape[0], pred.shape[1], 9)) + for i in range(temp.shape[2]): + for q in range(pred.shape[1]): + elem_var = dataset.variables[ + # NOTE this will only work for + # single block models + f"vals_elem_var{elem_var_num + 1}eb1" + ] + elem_var[n, :] = temp[:, q, i] + elem_var_num = elem_var_num + 1 + else: + assert False, f"Shape of output val is {pred.shape}" + + return state_new def _write_outputs(self, params, problem, output_file): - physics = problem.physics + # physics = problem.physics times = problem.times with nc.Dataset(output_file, "a") as dataset: @@ -275,101 +365,113 @@ def _vmap_func(n): ) for n, time in enumerate(times): - # write new time value - time_var = dataset.variables["time_whole"] - time_var[n] = time - - # useful for all methods later on - us = physics.var_name_to_method["field_values"]["method"]( - params, problem, time - ) - # calculate something with state update at least once to update - # state later - _, state_new = physics.potential_energy( - params, problem.domain, time, us, state_old, dt + if n == 0: + dt = 0.0 + else: + dt = times[n] - times[n - 1] + + # # write new time value + # time_var = dataset.variables["time_whole"] + # time_var[n] = time + + # # useful for all methods later on + # us = physics.var_name_to_method["field_values"]["method"]( + # params, problem, time + # ) + # # calculate something with state + # update at least once to update + # # state later + # _, state_new = physics.potential_energy( + # params, problem.domain, time, us, state_old, dt + # ) + + # node_var_num = 0 + # for var in self.node_variables: + # if ( + # var == "internal_force" + # ): + # pred = physics.\ + # var_name_to_method["internal_force"]["method"]( + # params, problem.domain, + # time, us, state_old, dt + # ) + # for i in range(pred.shape[1]): + # node_var = dataset.variables[ + # f"vals_nod_var{node_var_num + 1}" + # ] + # node_var[n, :] = pred[:, i] + # node_var_num = node_var_num + 1 + # else: + # output = physics.var_name_to_method[var] + # pred = onp.array( + # output["method"](params, problem, time) + # ) + # if len(pred.shape) > 2: + # for i in range(pred.shape[1]): + # for j in range(pred.shape[2]): + # # k = pred.shape[1] * i + j + # assert False, "Support this" + # # self.exo. + # put_node_variable_values( + # # output['names'][k], n + 1, pred[:, i, j]) + # else: + # for i in range(pred.shape[1]): + # node_var = dataset.variables[ + # f"vals_nod_var{node_var_num + 1}" + # ] + # node_var[n, :] = pred[:, i] + # node_var_num = node_var_num + 1 + + # elem_var_num = 0 + # for var in self.element_variables: + # output = physics.var_name_to_method[var] + # pred = onp.array( + # output["method"]( + # params, problem, time, us, state_old, dt + # ) + # ) + + # # for q in range(pred.shape[1]): + # # for i in range(pred.shape[2]) + # if len(pred.shape) == 2: + # for q in range(pred.shape[1]): + # elem_var = dataset.variables[ + # # NOTE this will only work for + # # single block models + # f"vals_elem_var{elem_var_num + 1}eb1" + # ] + # elem_var[n, :] = pred[:, q] + # elem_var_num = elem_var_num + 1 + # elif len(pred.shape) == 3: + # # this is the state variable case + # for s in range(pred.shape[2]): + # for q in range(pred.shape[1]): + # elem_var = dataset.variables[ + # # NOTE this will only work for + # # single block models + # f"vals_elem_var{elem_var_num + 1}eb1" + # ] + # elem_var[n, :] = pred[:, q, s] + # elem_var_num = elem_var_num + 1 + # elif len(pred.shape) == 4: + # temp = pred. + # reshape((pred.shape[0], pred.shape[1], 9)) + # for i in range(temp.shape[2]): + # for q in range(pred.shape[1]): + # elem_var = dataset.variables[ + # # NOTE this will only work for + # # single block models + # f"vals_elem_var{elem_var_num + 1}eb1" + # ] + # elem_var[n, :] = temp[:, q, i] + # elem_var_num = elem_var_num + 1 + # else: + # assert False, f"Shape of output val is {pred.shape}" + + state_new = self._write_step_outputs( + dataset, n, params, problem, time, dt, state_old ) - node_var_num = 0 - for var in self.node_variables: - if ( - var == "internal_force" - ): - pred = physics.\ - var_name_to_method["internal_force"]["method"]( - params, problem.domain, - time, us, state_old, dt - ) - for i in range(pred.shape[1]): - node_var = dataset.variables[ - f"vals_nod_var{node_var_num + 1}" - ] - node_var[n, :] = pred[:, i] - node_var_num = node_var_num + 1 - else: - output = physics.var_name_to_method[var] - pred = onp.array( - output["method"](params, problem, time) - ) - if len(pred.shape) > 2: - for i in range(pred.shape[1]): - for j in range(pred.shape[2]): - # k = pred.shape[1] * i + j - assert False, "Support this" - # self.exo.put_node_variable_values( - # output['names'][k], n + 1, pred[:, i, j]) - else: - for i in range(pred.shape[1]): - node_var = dataset.variables[ - f"vals_nod_var{node_var_num + 1}" - ] - node_var[n, :] = pred[:, i] - node_var_num = node_var_num + 1 - - elem_var_num = 0 - for var in self.element_variables: - output = physics.var_name_to_method[var] - pred = onp.array( - output["method"]( - params, problem, time, us, state_old, dt - ) - ) - - # for q in range(pred.shape[1]): - # for i in range(pred.shape[2]) - if len(pred.shape) == 2: - for q in range(pred.shape[1]): - elem_var = dataset.variables[ - # NOTE this will only work for - # single block models - f"vals_elem_var{elem_var_num + 1}eb1" - ] - elem_var[n, :] = pred[:, q] - elem_var_num = elem_var_num + 1 - elif len(pred.shape) == 3: - # this is the state variable case - for s in range(pred.shape[2]): - for q in range(pred.shape[1]): - elem_var = dataset.variables[ - # NOTE this will only work for - # single block models - f"vals_elem_var{elem_var_num + 1}eb1" - ] - elem_var[n, :] = pred[:, q, s] - elem_var_num = elem_var_num + 1 - elif len(pred.shape) == 4: - temp = pred.reshape((pred.shape[0], pred.shape[1], 9)) - for i in range(temp.shape[2]): - for q in range(pred.shape[1]): - elem_var = dataset.variables[ - # NOTE this will only work for - # single block models - f"vals_elem_var{elem_var_num + 1}eb1" - ] - elem_var[n, :] = temp[:, q, i] - elem_var_num = elem_var_num + 1 - else: - assert False, f"Shape of output val is {pred.shape}" - # finally update state state_old = state_new diff --git a/pancax/problems/forward_problem.py b/pancax/problems/forward_problem.py index 67f6539..122bf6d 100644 --- a/pancax/problems/forward_problem.py +++ b/pancax/problems/forward_problem.py @@ -69,7 +69,7 @@ def __init__( domain = domain.update_dof_manager(dirichlet_bcs, physics.n_dofs) # setup physics - physics = physics.update_normalization(domain) + # physics = physics.update_normalization(domain) physics = physics.update_var_name_to_method() if type(domain) is DeltaPINNDomain: diff --git a/scripts/run_unit_tests.sh b/scripts/run_unit_tests.sh index e0a6a21..a7910d4 100755 --- a/scripts/run_unit_tests.sh +++ b/scripts/run_unit_tests.sh @@ -1 +1,2 @@ XLA_PYTHON_CLIENT_PREALLOCATE=false JAX_ENABLE_X64=true pytest -n 4 test --cov=pancax -q --disable-warnings +# XLA_PYTHON_CLIENT_PREALLOCATE=false JAX_ENABLE_X64=true pytest test --cov=pancax -q --disable-warnings diff --git a/test/math/test_scalar_root_find.py b/test/math/test_scalar_root_find.py new file mode 100644 index 0000000..079bd53 --- /dev/null +++ b/test/math/test_scalar_root_find.py @@ -0,0 +1,203 @@ +# from sys import float_info +# import jax +# import jax.numpy as jnp +# import pancax.math.scalar_root_find as ScalarRootFind +import pytest + +# from scipy.optimize import minimize_scalar, root_scalar # for comparison +# from scipy.optimize import OptimizeResult + +# from optimism import ScalarRootFind +# from . import TestFixture + + +def f(x): + return x**3 - 4.0 + + +@pytest.fixture +def srf_fixture(): + import jax.numpy as jnp + import pancax.math.scalar_root_find as ScalarRootFind + + settings = ScalarRootFind.get_settings(r_tol=1.e-12, x_tol=0.) + root_guess = 1.e-5 + root_expected = jnp.cbrt(4.0) + return settings, root_guess, root_expected + + +def test_find_root(srf_fixture): + from sys import float_info + import jax.numpy as jnp + import pancax.math.scalar_root_find as ScalarRootFind + + settings, root_guess, root_expected = srf_fixture + + rootBracket = jnp.array([float_info.epsilon, 100.0]) + root, _ = ScalarRootFind.find_root(f, root_guess, rootBracket, settings) + converged = jnp.abs(f(root)) <= settings.r_tol + assert converged + assert jnp.allclose(root, root_expected, rtol=1.e-13) + + +def test_find_root_with_jit(srf_fixture): + from sys import float_info + import jax + import jax.numpy as jnp + import pancax.math.scalar_root_find as ScalarRootFind + + settings, root_guess, root_expected = srf_fixture + + rtsafe_jit = jax.jit(ScalarRootFind.find_root, static_argnums=(0, 3)) + rootBracket = jnp.array([float_info.epsilon, 100.0]) + root, _ = rtsafe_jit(f, root_guess, rootBracket, settings) + converged = jnp.abs(f(root)) <= settings.r_tol + assert converged + assert jnp.allclose(root, root_expected, rtol=1.e-13) + + +def test_unbracketed_root_gives_nan(srf_fixture): + import jax.numpy as jnp + import pancax.math.scalar_root_find as ScalarRootFind + + settings, root_guess, root_expected = srf_fixture + + root_bracket = jnp.array([2.0, 100.0]) + root, _ = ScalarRootFind.find_root(f, root_guess, root_bracket, settings) + assert jnp.isnan(root) + + +def test_find_root_converges_on_hard_function(srf_fixture): + import jax.numpy as jnp + import pancax.math.scalar_root_find as ScalarRootFind + + settings, root_guess, root_expected = srf_fixture + + # g = lambda x: jnp.sin(x) + x + def g(x): + return jnp.sin(x) + x + + root_bracket = jnp.array([-3.0, 20.0]) + x0 = 19.0 + root, _ = ScalarRootFind.find_root(f, x0, root_bracket, settings) + converged = jnp.abs(f(root)) <= settings.r_tol + assert converged + assert jnp.allclose(root, root_expected, rtol=1.e-13) + + +def test_root_find_is_differentiable(srf_fixture): + from sys import float_info + import jax + import jax.numpy as jnp + import pancax.math.scalar_root_find as ScalarRootFind + + settings, root_guess, root_expected = srf_fixture + + # myfunc = lambda x, a: x**3 - a + def myfunc(x, a): + return x**3 - a + + def cube_root(a): + rootBracket = jnp.array([float_info.epsilon, a]) + root, _ = ScalarRootFind.find_root( + lambda x: myfunc(x, a), 8.0, rootBracket, + settings + ) + return root + + root = cube_root(4.0) + assert jnp.allclose(root, root_expected, rtol=1.e-13) + + df = jax.jacfwd(cube_root) + x = 3.0 + assert jnp.allclose(df(x), x**(-2 / 3) / 3, rtol=1.e-13) + + +def test_find_root_with_forced_bisection_step(srf_fixture): + from sys import float_info + import jax.numpy as jnp + import pancax.math.scalar_root_find as ScalarRootFind + + settings, root_guess, root_expected = srf_fixture + + # myfunc = lambda x, a: x**2 - a + def myfunc(x, a): + return x**2 - a + + def my_sqrt(a): + root_bracket = jnp.array([float_info.epsilon, a]) + root, _ = ScalarRootFind.find_root( + lambda x: myfunc(x, a), 8.0, + root_bracket, + settings + ) + return root + + r = my_sqrt(9.0) + assert jnp.allclose(r, 3., rtol=1.e-12) + + +def test_root_find_with_vmap_and_jit(srf_fixture): + from sys import float_info + import jax + import jax.numpy as jnp + import pancax.math.scalar_root_find as ScalarRootFind + + settings, root_guess, root_expected = srf_fixture + + # myfunc = lambda x, a: x**2 - a + def myfunc(x, a): + return x**2 - a + + def my_sqrt(a): + root_bracket = jnp.array([float_info.epsilon, a]) + root, _ = ScalarRootFind.find_root( + lambda x: myfunc(x, a), 8.0, + root_bracket, settings + ) + return root + + x = jnp.array([1.0, 4.0, 9.0, 16.0]) + F = jax.jit(jax.vmap(my_sqrt, 0)) + expected_roots = jnp.array([1.0, 2.0, 3.0, 4.0]) + assert jnp.allclose(F(x), expected_roots, rtol=1.e-12) + + +def test_solves_when_left_bracket_is_solution(srf_fixture): + import jax.numpy as jnp + import pancax.math.scalar_root_find as ScalarRootFind + + settings, root_guess, root_expected = srf_fixture + + root_bracket = jnp.array([0.0, 1.0]) + guess = 3.0 + # f = lambda x: x*(x**2 - 10.0) + + def f(x): + return x * (x**2 - 10.) + + root, _ = ScalarRootFind.find_root(f, guess, root_bracket, settings) + converged = jnp.abs(f(root)) <= settings.r_tol + assert converged + assert jnp.allclose(root, 0., rtol=1.e-12) + + +def test_solves_when_right_bracket_is_solution(srf_fixture): + import jax.numpy as jnp + import pancax.math.scalar_root_find as ScalarRootFind + + settings, root_guess, root_expected = srf_fixture + + root_bracket = jnp.array([-1.0, 0.0]) + guess = 3.0 + # f = lambda x: x*(x**2 - 10.0) + + def f(x): + return x * (x**2 - 10.) + + root, _ = ScalarRootFind.find_root(f, guess, root_bracket, settings) + converged = jnp.abs(f(root)) <= settings.r_tol + # self.assertTrue(converged) + # self.assertNear(root, 0.0, 12) + assert converged + assert jnp.allclose(root, 0., rtol=1.e-12) diff --git a/test/networks/test_fields.py b/test/networks/test_fields.py index 37c3959..7f37ed2 100644 --- a/test/networks/test_fields.py +++ b/test/networks/test_fields.py @@ -40,8 +40,9 @@ def test_fields(problem): from pancax import Field key = random.key(0) field = Field(problem, key, seperate_networks=False) - x = random.uniform(key=key, shape=(4,)) - y = field(x) + x = random.uniform(key=key, shape=(3,)) + t = random.uniform(key=key, shape=(1,)) + y = field(x, t) assert y.shape == (3,) @@ -50,6 +51,7 @@ def test_fields_with_seperate_networks(problem): from pancax import Field key = random.key(0) field = Field(problem, key, seperate_networks=True) - x = random.uniform(key=key, shape=(4,)) - y = field(x) + x = random.uniform(key=key, shape=(3,)) + t = random.uniform(key=key, shape=(1,)) + y = field(x, t) assert y.shape == (3,) diff --git a/test/networks/test_parameters.py b/test/networks/test_parameters.py index 4c586d4..34cd75e 100644 --- a/test/networks/test_parameters.py +++ b/test/networks/test_parameters.py @@ -41,8 +41,9 @@ def test_parameters(problem): key = random.PRNGKey(0) params = Parameters(problem, key=key) field, physics, state = params - x = random.uniform(key=key, shape=(4,)) - y = field(x) + x = random.uniform(key=key, shape=(3,)) + t = random.uniform(key=key, shape=(1,)) + y = field(x, t) assert y.shape == (3,) assert type(physics) is SolidMechanics assert state is None @@ -73,15 +74,14 @@ def test_parameters_freeze_physics_filter(problem): def test_parameters_freeze_physics_normalization_filter(problem): from jax import random - from jax.tree_util import tree_leaves from pancax import Parameters key = random.PRNGKey(0) params = Parameters(problem, key=key) filter = params.freeze_physics_normalization_filter() - assert all(tree_leaves(filter.fields)) + # assert all(tree_leaves(filter.fields)) - assert filter.physics.x_mins is False - assert filter.physics.x_maxs is False - assert filter.physics.t_min is False - assert filter.physics.t_max is False + assert filter.fields.x_mins is False + assert filter.fields.x_maxs is False + assert filter.fields.t_min is False + assert filter.fields.t_max is False