├── CENN ├── CENN.pdf ├── DeepEnergyMethod.py ├── EnergyModel.py ├── IntegrationLoss.py ├── MultiLayerNet.py ├── Utility.py ├── config.py ├── crack │ ├── Crack_CPINN_rbf.py │ ├── Crack_HPPINN.py │ ├── Crack_PINN.py │ ├── Crack_PINN_gradient.py │ ├── Crack_RBF.py │ ├── Crack_RBF_and_points.py │ ├── Crack_compare.py │ ├── Crack_compare_cross.py │ ├── Crack_data_driven.py │ ├── Crack_data_driven_ritz.py │ ├── Crack_energy.py │ ├── Crack_energy_cpinn.py │ ├── Crack_particular.py │ ├── Crack_ritz.py │ ├── __pycache__ │ │ ├── config_crack.cpython-38.pyc │ │ ├── config_crack_cpinn.cpython-38.pyc │ │ ├── define_structure.cpython-38.pyc │ │ └── define_structure_cpinn.cpython-38.pyc │ ├── crack_cenn_adaptive.py │ ├── crack_position │ │ ├── singular_strain_50.png │ │ ├── x=0_50.png │ │ ├── y=0_down50.png │ │ └── y=0_up50.png │ ├── different_distribution_RBF.py │ ├── distance_RBF_NN2.pdf │ ├── distance_RBF_NN3.pdf │ ├── distance_function_pathology.py │ ├── fem_crack (SFConflict 2019211455@tsinghua.edu.cn 2021-08-14-00-11-29).py │ ├── fem_crack.py │ ├── file_chain.py │ ├── particular1_nn │ ├── particular2_nn │ ├── picture │ │ ├── crack_cenn_adaptive.pdf │ │ ├── crack_compare_loss_error.pdf │ │ └── crack_compare_loss_error0.pdf │ └── poisson │ │ ├── solution.pvd │ │ └── solution000000.vtu ├── hyper2D │ ├── error_loss_plot.py │ ├── fem_interpolate.py │ ├── fem_subdomain_hyper2D.py │ ├── hyper_cenn.py │ ├── hyper_chain.py │ ├── hyper_cpinn.py │ ├── hyper_energy.py │ └── points.py ├── importlib_com.py └── koch │ ├── __pycache__ │ ├── koch.cpython-38.pyc │ └── koch_points.cpython-38.pyc │ ├── error_record.txt │ ├── koch.py │ ├── koch_CPINN.py │ ├── koch_CPINN_CENN_time_comparision.py │ ├── koch_RBF.py │ ├── koch_compare.py │ ├── koch_energy.py │ ├── koch_energy_cenn.py │ ├── koch_exact_J.py │ ├── koch_particular.py │ ├── koch_points.py │ ├── koch_points_plot.py │ ├── output_ntk │ ├── error_cpinn102.vtu │ ├── error_energy102.vtu │ ├── error_energy_cenn102.vtu │ ├── error_energy_rao102.vtu │ ├── pred_cpinn102.vtu │ ├── pred_energy102.vtu │ ├── pred_energy_cenn102.vtu │ └── pred_energy_rao102.vtu │ ├── particular_nn │ └── pic │ ├── koch_compare_cross102.pdf │ ├── koch_compare_loss_error.pdf │ ├── x=0_dudy_102.png │ ├── x=0_u_102.png │ ├── y=0_dudx_102.png │ └── y=0_u_102.png ├── CENN_graphic_abstract.png ├── DCEM ├── hole_plate │ ├── __pycache__ │ │ ├── DCEM_rectangle.cpython-38.pyc │ │ └── DEM_rectangle.cpython-38.pyc │ ├── hole │ │ ├── multihole │ │ │ └── ellipse │ │ │ │ ├── __pycache__ │ │ │ │ └── ellipse_DCEM_hole_NN_circle_fixed_all_sin.cpython-38.pyc │ │ │ │ ├── comparision_hole_all_sin.py │ │ │ │ ├── ellipse_1hole.inp │ │ │ │ ├── ellipse_1hole.rpt │ │ │ │ ├── ellipse_DCEM_hole_NN_circle_fixed_all_sin.py │ │ │ │ ├── ellipse_node_coordinate_abaqus_1hole_all_pressure.npy │ │ │ │ ├── ellipse_node_stress_abaqus_1hole_all_pressure.npy │ │ │ │ ├── hole_abaqus_import.py │ │ │ │ ├── output │ │ │ │ └── ellipse_DCEM_1hole_NN_cir_fixed_all_pressure.vtu │ │ │ │ └── particular_DCEM_nn_1hole_cir_fix_all_pressure │ │ └── one_hole │ │ │ ├── DCEM_chain.py │ │ │ ├── all_sin │ │ │ ├── 1hole_all_pressure.inp │ │ │ ├── 1hole_all_pressure.rpt │ │ │ ├── 1hole_dmsh.npy │ │ │ ├── DCEM_hole_NN_circle_fixed_all_sin.py │ │ │ ├── DCEM_particular_net_circle_fixed_all_sin.py │ │ │ ├── DEM_hole_NN_circle_fixed_all_sin.py │ │ │ ├── __pycache__ │ │ │ │ ├── DCEM_hole_NN_circle_fixed_all_sin.cpython-38.pyc │ │ │ │ └── DEM_hole_NN_circle_fixed_all_sin.cpython-38.pyc │ │ │ ├── boundary_coordinate_abaqus_1hole_all_pressure.npy │ │ │ ├── comparision_hole_all_sin.py │ │ │ ├── hole_abaqus_import.py │ │ │ ├── node_coordinate_abaqus_1hole_all_pressure.npy │ │ │ ├── node_stress_abaqus_1hole_all_pressure.npy │ │ │ └── particular_DCEM_nn_1hole_cir_fix_all_pressure │ │ │ ├── comparision_1hole_circir_fixed.py │ │ │ ├── dmsh_1hole.py │ │ │ └── hole_fenics.py │ └── rectangle │ │ ├── DCEM_rectangle.py │ │ ├── DEM_rectangle.py │ │ ├── __pycache__ │ │ ├── DCEM_rectangle.cpython-38.pyc │ │ └── DEM_rectangle.cpython-38.pyc │ │ ├── comparision_rectangle.py │ │ ├── node_stress_abaqus_rectangle.npy │ │ ├── particular_nn_rectangle │ │ ├── rectangle.inp │ │ ├── rectangle_abaqus_import.py │ │ └── rectangle_fenics.py ├── lame │ ├── branch_nn │ ├── exact_energy_complementaryenergy.py │ ├── lame_comparision.py │ ├── lame_min_complementaryenergy.py │ ├── lame_min_complementaryenergy_DeepONet_mater_geo_force.py │ ├── lame_min_complementaryenergy_DeepONet_parametric.py │ ├── lame_min_complementaryenergy_H1_L2_norm.py │ ├── lame_min_complementaryenergy_airy_comparision.py │ ├── lame_min_complementaryenergy_term_airy.py │ ├── lame_min_potential_energy.py │ ├── lame_strong_dis.py │ ├── lame_strong_dis_penty.py │ └── trunk_nn ├── prantle_torsion │ ├── branch_nn │ ├── convergence_time │ │ ├── min_potential_rectular.py │ │ ├── rectular_min_complementaryenergy.py │ │ ├── strong_dis_rectular.py │ │ └── strong_fai_rectular.py │ ├── rectular_alpha.py │ ├── rectular_different_alpha_mincomple.py │ ├── rectular_min_complementaryenergy.py │ ├── rectular_min_potential.py │ ├── rectular_strong_displacement.py │ ├── rectular_strong_fai.py │ ├── rectular_tau_contouf.py │ ├── rectular_tau_contouf_DeepONet_norm.py │ ├── rectular_taumax.py │ └── trunk_nn └── wedge │ ├── biharmic.py │ ├── branch_nn │ ├── trunk_nn │ ├── wedge_comparison.py │ ├── wedge_contour.py │ ├── wedge_fai_strong.py │ ├── wedge_min_complementaryenergy.py │ └── wedge_min_complementaryenergy_DeepONet.py ├── DCEM_graphic_abstract.png ├── DEM ├── Beam2D │ ├── Beam2D_elasticity_minipotential_Mont.py │ ├── Beam_different_penalty.py │ ├── __init__.py │ ├── __pycache__ │ │ ├── __init__.cpython-38.pyc │ │ ├── config.cpython-38.pyc │ │ ├── define_structure.cpython-38.pyc │ │ ├── define_structureC.cpython-38.pyc │ │ └── define_structureHamilton.cpython-38.pyc │ ├── config.py │ ├── config_elas.py │ ├── define_structure.py │ ├── define_structureC.py │ ├── define_structureHamilton.py │ ├── dmsh_ritz │ │ ├── __pycache__ │ │ │ ├── config.cpython-38.pyc │ │ │ └── define_structure.cpython-38.pyc │ │ ├── config.py │ │ ├── define_structure.py │ │ ├── ritz_beam2d.py │ │ └── 悬臂梁y=0的位移的abaqus解.xlsx │ ├── grad=0.py │ ├── ritz │ │ ├── __pycache__ │ │ │ ├── config.cpython-38.pyc │ │ │ └── define_structure.cpython-38.pyc │ │ ├── abaqus_y.npy │ │ ├── config.py │ │ ├── convergence_plot.py │ │ ├── convergence_test.py │ │ ├── define_structure.py │ │ ├── plot_Chinese.py │ │ ├── points_num.npy │ │ ├── pred_num.npy │ │ ├── ritz_beam2d.py │ │ └── 悬臂梁y=0的位移的abaqus解.xlsx │ └── 悬臂梁y=0的位移的abaqus解.xlsx ├── DeepEnergyMethod.py ├── EnergyModel.py ├── Flat-Energy-10-10-1.csv ├── IntegrationLoss.py ├── MultiLayerNet.py ├── Utility.py ├── __init__.py ├── __pycache__ │ ├── EnergyModel.cpython-38.pyc │ ├── IntegrationLoss.cpython-38.pyc │ ├── MultiLayerNet.cpython-38.pyc │ ├── Utility.cpython-38.pyc │ ├── __init__.cpython-38.pyc │ ├── config.cpython-38.pyc │ └── importlib.cpython-38.pyc ├── config.py ├── crack │ ├── __pycache__ │ │ ├── config_quarter.cpython-38.pyc │ │ ├── define_structure_quarter.cpython-38.pyc │ │ └── define_structure_quarter_uniform.cpython-38.pyc │ ├── abaqus_mise.xlsx │ ├── config_quarter.py │ ├── crack_quarter_dmsh.py │ ├── crack_quarter_dmsh_distance_arti.py │ ├── crack_quarter_no_dmsh_oned.py │ ├── crack_quarter_no_dmsh_twod.py │ ├── define_structure_quarter.py │ ├── define_structure_quarter_uniform.py │ ├── dmsh_quarter.py │ ├── iter4000_abaqus_comparision.py │ ├── mise_abaqusy0.npy │ ├── penalty │ │ ├── Crack_elasticity_minipotential_Mont.py │ │ ├── Crack_elasticity_minipotential_Simp.py │ │ ├── __init__.py │ │ ├── __pycache__ │ │ │ ├── __init__.cpython-38.pyc │ │ │ ├── config.cpython-38.pyc │ │ │ ├── define_structure.cpython-38.pyc │ │ │ └── define_structure_quarter.cpython-38.pyc │ │ ├── abaqus_mise.xlsx │ │ ├── config.py │ │ ├── config_elas.py │ │ ├── crack_quarter_dmsh.py │ │ ├── crack_quarter_dmsh_penalty.py │ │ ├── define_structure.py │ │ └── define_structure_quarter.py │ ├── plot_mise_596.py │ ├── pre_mise_4000.npy │ └── y0.npy ├── importlib.py └── plate_hole │ ├── B01Plate_hole_elasticity_minipotential_Mont.py │ ├── Plate_hole_define_structure.py │ ├── Plate_hole_elasticity_minipotential_Mont.py │ ├── Plate_hole_elasticity_minipotential_Simp.py │ ├── __init__.py │ ├── __pycache__ │ ├── Plate_hole_define_structure.cpython-38.pyc │ ├── __init__.cpython-38.pyc │ ├── config.cpython-38.pyc │ └── define_structure.cpython-38.pyc │ ├── config.py │ ├── config_elas.py │ ├── define_structure.py │ ├── dmsh │ ├── __pycache__ │ │ ├── config.cpython-38.pyc │ │ └── define_structure.cpython-38.pyc │ ├── abaqus_ritz.py │ ├── config.py │ ├── define_structure.py │ ├── hole.py │ ├── hole_abaqus_x=0.xlsx │ ├── hole_abaqus_y=0.xlsx │ ├── hole_compare_penalty_ritz.py │ └── ritz_hole.py │ ├── hole_abaqus_x=0.xlsx │ ├── hole_abaqus_y=0.xlsx │ ├── hole_compare_penalty_ritz.py │ ├── hole_different_penalty.py │ └── ritz │ ├── Plate_hole_define_structure.py │ ├── __pycache__ │ ├── Plate_hole_define_structure.cpython-38.pyc │ └── config.cpython-38.pyc │ ├── config.py │ └── ritz_hole.py ├── HOMO_graphic_abstract.png ├── KINN ├── Plate_hole │ ├── BINN_plate_hole │ │ ├── .idea │ │ │ ├── .gitignore │ │ │ ├── BINN_plate_hole.iml │ │ │ ├── inspectionProfiles │ │ │ │ ├── Project_Default.xml │ │ │ │ └── profiles_settings.xml │ │ │ ├── misc.xml │ │ │ └── modules.xml │ │ ├── BINN_KAN.py │ │ ├── BINN_MLP.py │ │ ├── Bie_trainer_elastic.py │ │ ├── Geometry_elastic_HB.py │ │ ├── Geometry_elastic_HB_reg.py │ │ ├── Geometry_elastic_arc.py │ │ ├── Geometry_elastic_more_geometry.py │ │ ├── __pycache__ │ │ │ ├── Bie_trainer_elastic.cpython-311.pyc │ │ │ ├── Bie_trainer_elastic.cpython-38.pyc │ │ │ ├── Bie_trainer_elastic.cpython-39.pyc │ │ │ ├── Geometry_elastic_HB.cpython-311.pyc │ │ │ ├── Geometry_elastic_HB.cpython-38.pyc │ │ │ ├── Geometry_elastic_HB.cpython-39.pyc │ │ │ ├── Geometry_elastic_HB_reg.cpython-311.pyc │ │ │ ├── Geometry_elastic_HB_reg.cpython-38.pyc │ │ │ ├── Geometry_elastic_HB_reg.cpython-39.pyc │ │ │ ├── Geometry_elastic_arc.cpython-311.pyc │ │ │ ├── Geometry_elastic_arc.cpython-38.pyc │ │ │ ├── Geometry_elastic_arc.cpython-39.pyc │ │ │ ├── Geometry_elastic_more_geometry.cpython-311.pyc │ │ │ ├── Geometry_elastic_more_geometry.cpython-38.pyc │ │ │ ├── Geometry_elastic_more_geometry.cpython-39.pyc │ │ │ ├── kan.cpython-311.pyc │ │ │ ├── kan.cpython-38.pyc │ │ │ └── kan.cpython-39.pyc │ │ ├── coo.txt │ │ ├── generate_plotpoints.py │ │ ├── hole_abaqus_x=0.xls │ │ ├── hole_abaqus_x=0.xlsx │ │ ├── hole_abaqus_y=0.xls │ │ ├── hole_abaqus_y=0.xlsx │ │ ├── kan.py │ │ └── output │ │ │ ├── BIE_kanBEAM_kongban.pt │ │ │ ├── BIE_kanBEAM_slender1.pt │ │ │ └── BIE_kanlinear.pt │ ├── DEM_plate_hole │ │ ├── DeepEnergyMethod.py │ │ ├── EnergyModel.py │ │ ├── IntegrationLoss.py │ │ ├── MultiLayerNet.py │ │ ├── Utility.py │ │ ├── __init__.py │ │ ├── __pycache__ │ │ │ ├── EnergyModel.cpython-311.pyc │ │ │ ├── EnergyModel.cpython-38.pyc │ │ │ ├── IntegrationLoss.cpython-311.pyc │ │ │ ├── IntegrationLoss.cpython-38.pyc │ │ │ ├── MultiLayerNet.cpython-311.pyc │ │ │ ├── MultiLayerNet.cpython-38.pyc │ │ │ ├── Utility.cpython-311.pyc │ │ │ ├── Utility.cpython-38.pyc │ │ │ ├── __init__.cpython-311.pyc │ │ │ ├── __init__.cpython-38.pyc │ │ │ ├── config.cpython-311.pyc │ │ │ ├── config.cpython-38.pyc │ │ │ ├── importlib.cpython-311.pyc │ │ │ └── importlib.cpython-38.pyc │ │ ├── config.py │ │ ├── importlib.py │ │ ├── kan_efficiency.py │ │ └── plate_hole │ │ │ ├── Plate_hole_DEM_grid_size.py │ │ │ ├── Plate_hole_DEM_triangle.py │ │ │ ├── Plate_hole_DEM_uniform.py │ │ │ ├── Plate_hole_KINN_DEM_grid_size.py │ │ │ ├── Plate_hole_KINN_DEM_spline_order.py │ │ │ ├── Plate_hole_KINN_DEM_triangle.py │ │ │ ├── Plate_hole_KINN_DEM_uniform.py │ │ │ ├── __init__.py │ │ │ ├── __pycache__ │ │ │ ├── Plate_hole_define_structure.cpython-38.pyc │ │ │ ├── __init__.cpython-311.pyc │ │ │ ├── __init__.cpython-38.pyc │ │ │ ├── config.cpython-311.pyc │ │ │ ├── config.cpython-38.pyc │ │ │ ├── define_structure.cpython-311.pyc │ │ │ └── define_structure.cpython-38.pyc │ │ │ ├── config.py │ │ │ ├── define_structure.py │ │ │ ├── hole_abaqus_x=0.xlsx │ │ │ ├── hole_abaqus_y=0.xlsx │ │ │ ├── output │ │ │ ├── DEM │ │ │ │ ├── DEM_x0disy.npy │ │ │ │ ├── DEM_x0mise.npy │ │ │ │ ├── DEM_y0disx.npy │ │ │ │ ├── Mise_loss_array.npy │ │ │ │ ├── U_mag_loss_array.npy │ │ │ │ ├── coordinate.npy │ │ │ │ ├── exact_x0disy.npy │ │ │ │ ├── exact_x0mise.npy │ │ │ │ └── exact_y0disx.npy │ │ │ ├── DEMcoordinate.npy │ │ │ └── KINN_DEM │ │ │ │ ├── DEM_x0disy.npy │ │ │ │ ├── KINN_DEM_x0disy.npy │ │ │ │ ├── KINN_DEM_x0mise.npy │ │ │ │ ├── KINN_DEM_y0disx.npy │ │ │ │ ├── Mise_loss_array.npy │ │ │ │ ├── U_mag_loss_array.npy │ │ │ │ ├── exact_x0disy.npy │ │ │ │ ├── exact_x0mise.npy │ │ │ │ └── exact_y0disx.npy │ │ │ └── scale_law_plot.py │ ├── MultiLayerNet.py │ ├── PINNs │ │ ├── KINN_PINNs_plate_hole.py │ │ ├── KINN_PINNs_plate_hole_autohyper.py │ │ ├── KINN_PINNs_plate_hole_inverse.py │ │ ├── PINNs_plate_hole.py │ │ ├── PINNs_plate_hole_autohyper.py │ │ ├── PINNs_plate_hole_inverse.py │ │ ├── hole_abaqus_x=0.xlsx │ │ ├── hole_abaqus_y=0.xlsx │ │ └── model │ │ │ ├── model1_kan.pth │ │ │ ├── model1_mlp.pth │ │ │ ├── model2_kan.pth │ │ │ ├── model2_mlp.pth │ │ │ └── model_kan.pth │ ├── __pycache__ │ │ ├── EnergyModel.cpython-311.pyc │ │ ├── EnergyModel.cpython-38.pyc │ │ ├── IntegrationLoss.cpython-311.pyc │ │ ├── IntegrationLoss.cpython-38.pyc │ │ ├── MultiLayerNet.cpython-311.pyc │ │ ├── MultiLayerNet.cpython-38.pyc │ │ ├── Utility.cpython-311.pyc │ │ ├── Utility.cpython-38.pyc │ │ ├── __init__.cpython-311.pyc │ │ ├── __init__.cpython-38.pyc │ │ ├── config.cpython-311.pyc │ │ ├── config.cpython-38.pyc │ │ ├── importlib.cpython-311.pyc │ │ └── importlib.cpython-38.pyc │ ├── abaqus_reference │ │ ├── coordinate.npy │ │ └── onehole │ │ │ ├── FEM_U_mag.jpg │ │ │ ├── FEM_mises.jpg │ │ │ ├── FEM_reference.vtu │ │ │ ├── MISES.npy │ │ │ ├── MISES_inverse.npy │ │ │ ├── Plate_hole_FEM.vtu │ │ │ ├── U_mag.npy │ │ │ ├── U_mag_binn.npy │ │ │ ├── U_mag_inverse.npy │ │ │ ├── U_x.npy │ │ │ ├── U_y.npy │ │ │ ├── Von_mises_binn.npy │ │ │ ├── coordinate.npy │ │ │ ├── coordinate_binn.npy │ │ │ ├── coordinate_inverse.npy │ │ │ ├── read_data_from_abaqus.txt │ │ │ └── write_vtk_reference.py │ ├── abs_error_dis_BINN_MLP.pdf │ ├── abs_error_dis_KINN_BINN.pdf │ ├── abs_error_mise_BINN_MLP.pdf │ ├── abs_error_mise_KINN_BINN.pdf │ ├── chain_plate_hole.py │ ├── error_contourf.py │ ├── error_evolution.py │ ├── interface.py │ ├── model │ │ └── PINNs_MLP │ │ │ └── PINNs_MLP.pth │ └── results │ │ ├── BINN_MLP │ │ ├── BINN_x0disy.npy │ │ ├── BINN_x0mise.npy │ │ ├── BINN_y0disx.npy │ │ ├── U_mag_BINN.jpg │ │ ├── abs_error_dis_BINN_MLP.pdf │ │ ├── abs_error_mise_BINN_MLP.pdf │ │ ├── exact_x0disy.npy │ │ ├── exact_x0mise.npy │ │ └── exact_y0disx.npy │ │ ├── Comparison of Mise_loss_array.pdf │ │ ├── Comparison of Mise_loss_array.png │ │ ├── Comparison of U_mag_loss_array.pdf │ │ ├── Comparison of U_mag_loss_array.png │ │ ├── Comparison of x0disy.pdf │ │ ├── Comparison of x0mise.pdf │ │ ├── Comparison of y0disx.pdf │ │ ├── DEM_MLP_rbf │ │ ├── DEM_x0disy.npy │ │ ├── DEM_x0mise.npy │ │ ├── DEM_y0disx.npy │ │ ├── MISE_DEM.jpg │ │ ├── Mise_loss_array.npy │ │ ├── U_mag_DEM.jpg │ │ ├── U_mag_loss_array.npy │ │ ├── exact_x0disy.npy │ │ ├── exact_x0mise.npy │ │ └── exact_y0disx.npy │ │ ├── Grid_size_error.pdf │ │ ├── KINN_BINN │ │ ├── KINN_BINN_x0disy.npy │ │ ├── KINN_BINN_x0mise.npy │ │ ├── KINN_BINN_y0disx.npy │ │ ├── Plate_hole_KINN_BINNs.vtu │ │ ├── U_mag_KINN_BINN.jpg │ │ ├── exact_x0disy.npy │ │ ├── exact_x0mise.npy │ │ └── exact_y0disx.npy │ │ ├── KINN_DEM_rbf │ │ ├── DEM_x0disy.npy │ │ ├── KINN_DEM_x0disy.npy │ │ ├── KINN_DEM_x0mise.npy │ │ ├── KINN_DEM_y0disx.npy │ │ ├── MISEs_KINN_DEM.jpg │ │ ├── Mise_loss_array.npy │ │ ├── U_mag_KINN_DEM.jpg │ │ ├── U_mag_loss_array.npy │ │ ├── exact_x0disy.npy │ │ ├── exact_x0mise.npy │ │ └── exact_y0disx.npy │ │ ├── KINN_PINN_penalty │ │ ├── KINN_PINN_x0disy.npy │ │ ├── KINN_PINN_x0mise.npy │ │ ├── KINN_PINN_y0disx.npy │ │ ├── MISE_KINN_PINN.jpg │ │ ├── Mise_loss_array.npy │ │ ├── U_mag_KINN_PINN.jpg │ │ ├── U_mag_loss_array.npy │ │ ├── exact_x0disy.npy │ │ ├── exact_x0mise.npy │ │ └── exact_y0disx.npy │ │ ├── PINNs_MLP_penalty │ │ ├── MISE_PINNs.jpg │ │ ├── Mise_loss_array.npy │ │ ├── PINN_x0disy.npy │ │ ├── PINN_x0mise.npy │ │ ├── PINN_y0disx.npy │ │ ├── U_mag_PINNs.jpg │ │ ├── U_mag_loss_array.npy │ │ ├── exact_x0disy.npy │ │ ├── exact_x0mise.npy │ │ └── exact_y0disx.npy │ │ ├── plate_hole_DEM_grid_size.npy │ │ ├── plate_hole_KINN_DEM_grid_size.npy │ │ ├── prediction.py │ │ └── scale_law_error.pdf ├── complex_geo │ ├── kan_efficiency.py │ └── poisson │ │ ├── BINN_flower │ │ ├── BINN_KAN.py │ │ ├── BINN_MLP.py │ │ ├── Bie_trainer_rizzo_again.py │ │ ├── Geometry_potential_more_arc.py │ │ ├── __pycache__ │ │ │ ├── Bie_trainer_rizzo_again.cpython-311.pyc │ │ │ ├── Bie_trainer_rizzo_again.cpython-38.pyc │ │ │ ├── Geometry_potential_more_arc.cpython-311.pyc │ │ │ ├── Geometry_potential_more_arc.cpython-38.pyc │ │ │ ├── Geometry_rizzo_HB_again.cpython-311.pyc │ │ │ ├── kan.cpython-311.pyc │ │ │ └── kan.cpython-38.pyc │ │ ├── kan.py │ │ └── resultsBIEtest_kan.pt │ │ ├── __pycache__ │ │ ├── koch.cpython-311.pyc │ │ ├── koch.cpython-38.pyc │ │ ├── koch_points.cpython-311.pyc │ │ └── koch_points.cpython-38.pyc │ │ ├── koch.py │ │ ├── koch_DEM_KAN.py │ │ ├── koch_DEM_MLP.py │ │ ├── koch_PINN_KAN.py │ │ ├── koch_PINN_MLP.py │ │ ├── koch_RBF.py │ │ ├── koch_points.py │ │ ├── koch_points_plot.py │ │ ├── output_ntk │ │ ├── error_BINN_KAN.vtu │ │ ├── error_BINN_MLP.vtu │ │ ├── error_DEM_KAN.vtu │ │ ├── error_DEM_MLP.vtu │ │ ├── error_pinn_kan.vtu │ │ ├── error_pinn_mlp.vtu │ │ ├── pred_DEM_KAN.vtu │ │ ├── pred_DEM_MLP.vtu │ │ ├── pred_pinn_kan.vtu │ │ └── pred_pinn_mlp.vtu │ │ ├── particular_nn │ │ ├── pic │ │ ├── BINN_error_evolution.pdf │ │ ├── BINN_kan_error_contour.jpg │ │ ├── BINN_mlp_error_contour.jpg │ │ ├── DEM_PINN_error_evolution.pdf │ │ ├── DEM_kan_error_contour.jpg │ │ ├── DEM_kan_plane.png │ │ ├── DEM_mlp_error_contour.jpg │ │ ├── DEM_mlp_plane.png │ │ ├── PINN_kan_error_contour.jpg │ │ ├── PINN_mlp_error_contour.jpg │ │ ├── pinn_kan_plane.png │ │ ├── pinn_mlp_plane.png │ │ └── scatter_points_koch.pdf │ │ ├── plt_error_contour.py │ │ ├── plt_error_evolution.py │ │ └── results │ │ ├── flower_BINN_KAN_error.npy │ │ ├── flower_BINN_MLP_error.npy │ │ ├── koch_DEM_KAN_error.npy │ │ ├── koch_DEM_MLP_error.npy │ │ ├── koch_PINN_KAN_error.npy │ │ └── koch_PINN_MLP_error.npy ├── crack │ ├── BINN_crack │ │ ├── BINN_KAN.py │ │ ├── BINN_MLP.py │ │ ├── Bie_trainer_rizzo_again.py │ │ ├── Geometry_rizzo_HB_again.py │ │ ├── __pycache__ │ │ │ ├── Bie_trainer_rizzo_again.cpython-311.pyc │ │ │ ├── Bie_trainer_rizzo_again.cpython-38.pyc │ │ │ ├── Geometry_rizzo_HB_again.cpython-311.pyc │ │ │ ├── Geometry_rizzo_HB_again.cpython-38.pyc │ │ │ ├── kan.cpython-311.pyc │ │ │ └── kan.cpython-38.pyc │ │ ├── delete │ │ │ ├── BINN_KAN.py │ │ │ ├── BINN_MLP.py │ │ │ ├── Bie_trainer_rizzo_again.py │ │ │ ├── Geometry_rizzo_HB_again.py │ │ │ └── kan.py │ │ ├── kan.py │ │ └── outputs │ │ │ └── BIEBINN_mlp.pt │ ├── Crack_CPINN.py │ ├── Crack_CPINN_KINN.py │ ├── Crack_CPINN_KINN_rbf.py │ ├── Crack_DEM_KINN_rbf_triangle.py │ ├── Crack_DEM_KINN_rbf_uniform.py │ ├── Crack_DEM_rbf_triangle.py │ ├── Crack_DEM_rbf_uniform.py │ ├── Crack_grid_size.py │ ├── Crack_spline_order.py │ ├── __pycache__ │ │ ├── config_crack.cpython-38.pyc │ │ ├── config_crack_cpinn.cpython-38.pyc │ │ ├── define_structure.cpython-38.pyc │ │ ├── define_structure_cpinn.cpython-38.pyc │ │ └── kan.cpython-38.pyc │ ├── chain_6methods.py │ ├── error_comparison.py │ ├── interface_comparison.py │ ├── model │ │ ├── BINN_KAN │ │ │ └── BINN_KAN │ │ ├── BINN_MLP │ │ │ └── BINN_MLP │ │ ├── CPINNs_MLP_penalty │ │ │ ├── CPINNs_MLP_penalty_down │ │ │ └── CPINNs_MLP_penalty_up │ │ ├── DEM_MLP_penalty │ │ │ ├── DEM_MLP_penalty │ │ │ ├── DEM_MLP_penalty_down │ │ │ └── DEM_MLP_penalty_up │ │ ├── DEM_MLP_rbf │ │ │ ├── DEM_MLP_rbf │ │ │ └── DEM_MLP_rbf_tri │ │ ├── KINN_CPINN_penalty │ │ │ ├── KINN_CPINN_penalty_down │ │ │ └── KINN_CPINN_penalty_up │ │ ├── KINN_DEM_penalty │ │ │ ├── KINN_DEM_penalty_down │ │ │ └── KINN_DEM_penalty_up │ │ └── KINN_DEM_rbf │ │ │ ├── KINN_DEM_rbf │ │ │ └── KINN_DEM_rbf_tri │ ├── particular1_nn │ ├── particular2_nn │ ├── results │ │ ├── BINN_KAN │ │ │ ├── abs_error_BINN_KAN.pdf │ │ │ ├── error.npy │ │ │ └── interface.npy │ │ ├── BINN_MLP │ │ │ ├── abs_error_BINN_MLP.pdf │ │ │ ├── error.npy │ │ │ └── interface.npy │ │ ├── CPINNs_MLP_penalty │ │ │ ├── CPINNs_MLP_penalty.pdf │ │ │ ├── abs_error_CPINNs_MLP_penalty.pdf │ │ │ ├── error.npy │ │ │ └── interface.npy │ │ ├── Crack_error.pdf │ │ ├── Crack_error_tri.pdf │ │ ├── Crack_strain_inter.pdf │ │ ├── Crack_strain_inter_tri.pdf │ │ ├── DEM_MLP_penalty │ │ │ ├── DEM_MLP_penalty.pdf │ │ │ ├── abs_error_DEM_MLP_penalty.pdf │ │ │ └── error.npy │ │ ├── DEM_MLP_rbf │ │ │ ├── DEM_MLP_rbf.pdf │ │ │ ├── abs_error_DEM_MLP_rbf.pdf │ │ │ ├── abs_error_DEM_MLP_rbf_tri.pdf │ │ │ ├── error.npy │ │ │ ├── error_tri.npy │ │ │ ├── interface.npy │ │ │ └── interface_tri.npy │ │ ├── Grid_size_error.pdf │ │ ├── KINN_CPINN_penalty │ │ │ ├── KINN_CPINN_penalty.pdf │ │ │ ├── abs_error_KINN_CPINN_penalty.pdf │ │ │ ├── error.npy │ │ │ └── interface.npy │ │ ├── KINN_DEM_penalty │ │ │ ├── KINN_DEM_penalty.pdf │ │ │ ├── abs_error_KINN_DEM_penalty.pdf │ │ │ └── error.npy │ │ ├── KINN_DEM_rbf │ │ │ ├── KINN_DEM_rbf.pdf │ │ │ ├── KINN_DEM_rbf_tri.pdf │ │ │ ├── abs_error_KINN_DEM_rbf.pdf │ │ │ ├── abs_error_KINN_DEM_rbf_tri.pdf │ │ │ ├── error.npy │ │ │ ├── error_tri.npy │ │ │ ├── interface.npy │ │ │ └── interface_tri.npy │ │ ├── Spline_order_error.pdf │ │ ├── exact_solution.pdf │ │ └── scale_law_error.pdf │ └── scale_law_plot.py ├── dem_hyperelasticity │ ├── Beam2D │ │ ├── Beam2D4x1NeoHook_FEM.py │ │ ├── Beam2D_4x1_NeoHook_Simp_KAN.py │ │ ├── Beam2D_4x1_NeoHook_Simp_MLP.py │ │ ├── Beam2D_4x1_NeoHook_Trip_KAN.py │ │ ├── Beam2D_4x1_NeoHook_Trip_MLP.py │ │ ├── Beam2D_4x1_NeoHook_mont_KAN.py │ │ ├── Beam2D_4x1_NeoHook_mont_MLP.py │ │ ├── __init__.py │ │ ├── __pycache__ │ │ │ ├── __init__.cpython-311.pyc │ │ │ ├── __init__.cpython-38.pyc │ │ │ ├── config.cpython-311.pyc │ │ │ ├── config.cpython-38.pyc │ │ │ ├── define_structure.cpython-311.pyc │ │ │ └── define_structure.cpython-38.pyc │ │ ├── chain_hyper.py │ │ ├── config.py │ │ ├── define_structure.py │ │ ├── dis_y_error_contour.py │ │ ├── output │ │ │ ├── Beam_KAN_Simp_disy_error.png │ │ │ ├── Beam_KAN_Trip_disy_error.png │ │ │ ├── Beam_KAN_mont_disy_error.png │ │ │ ├── Beam_MLP_Simp_disy_error.png │ │ │ ├── Beam_MLP_Trip_disy_error.png │ │ │ ├── Beam_MLP_mont_disy_error.png │ │ │ ├── Displacement Magnitude (x2).pdf │ │ │ ├── Displacement Magnitude (y05).pdf │ │ │ ├── H1 Norm Error Evolution.pdf │ │ │ ├── L2 Norm Error Evolution.pdf │ │ │ ├── Von Mises Stress (x2).pdf │ │ │ ├── Von Mises Stress (y05).pdf │ │ │ ├── beam_points.pdf │ │ │ ├── dem │ │ │ │ ├── NeoHook_KAN_mont_H1_norm.npy │ │ │ │ ├── NeoHook_KAN_mont_L2_norm.npy │ │ │ │ ├── NeoHook_KAN_mont_disy_error.vtu │ │ │ │ ├── NeoHook_KAN_mont_x2.npy │ │ │ │ ├── NeoHook_KAN_mont_y05.npy │ │ │ │ ├── NeoHook_KAN_simp_H1_norm.npy │ │ │ │ ├── NeoHook_KAN_simp_L2_norm.npy │ │ │ │ ├── NeoHook_KAN_simp_disy_error.vtu │ │ │ │ ├── NeoHook_KAN_simp_x2.npy │ │ │ │ ├── NeoHook_KAN_simp_y05.npy │ │ │ │ ├── NeoHook_KAN_trap_H1_norm.npy │ │ │ │ ├── NeoHook_KAN_trap_L2_norm.npy │ │ │ │ ├── NeoHook_KAN_trap_disy_error.vtu │ │ │ │ ├── NeoHook_KAN_trap_x2.npy │ │ │ │ ├── NeoHook_KAN_trap_y05.npy │ │ │ │ ├── NeoHook_MLP_mont_H1_norm.npy │ │ │ │ ├── NeoHook_MLP_mont_L2_norm.npy │ │ │ │ ├── NeoHook_MLP_mont_disy_error.vtu │ │ │ │ ├── NeoHook_MLP_mont_x2.npy │ │ │ │ ├── NeoHook_MLP_mont_y05.npy │ │ │ │ ├── NeoHook_MLP_simp_H1_norm.npy │ │ │ │ ├── NeoHook_MLP_simp_L2_norm.npy │ │ │ │ ├── NeoHook_MLP_simp_disy_error.vtu │ │ │ │ ├── NeoHook_MLP_simp_x2.npy │ │ │ │ ├── NeoHook_MLP_simp_y05.npy │ │ │ │ ├── NeoHook_MLP_trap_H1_norm.npy │ │ │ │ ├── NeoHook_MLP_trap_L2_norm.npy │ │ │ │ ├── NeoHook_MLP_trap_disy_error.vtu │ │ │ │ ├── NeoHook_MLP_trap_x2.npy │ │ │ │ └── NeoHook_MLP_trap_y05.npy │ │ │ └── fem │ │ │ │ ├── E=1000 │ │ │ │ ├── beam2d_4x1_fem_v1.pvd │ │ │ │ ├── beam2d_4x1_fem_v1000000.vtu │ │ │ │ └── elasticity │ │ │ │ │ ├── Stress.pvd │ │ │ │ │ ├── Stress000000.vtu │ │ │ │ │ ├── displacement.pvd │ │ │ │ │ ├── displacement000000.vtu │ │ │ │ │ ├── magnitude.pvd │ │ │ │ │ ├── magnitude000000.vtu │ │ │ │ │ ├── von_mises.pvd │ │ │ │ │ └── von_mises000000.vtu │ │ │ │ └── E=500 │ │ │ │ ├── beam2d_4x1_fem_v1.pvd │ │ │ │ ├── beam2d_4x1_fem_v1000000.vtu │ │ │ │ └── elasticity │ │ │ │ ├── Stress.pvd │ │ │ │ ├── Stress000000.vtu │ │ │ │ ├── displacement.pvd │ │ │ │ ├── displacement000000.vtu │ │ │ │ ├── magnitude.pvd │ │ │ │ ├── magnitude000000.vtu │ │ │ │ ├── von_mises.pvd │ │ │ │ └── von_mises000000.vtu │ │ ├── plot_error.py │ │ ├── plot_position.py │ │ ├── points.py │ │ └── read_from_fem_para.py │ ├── DeepEnergyMethod.py │ ├── EnergyModel.py │ ├── IntegrationLoss.py │ ├── MultiLayerNet.py │ ├── README.md │ ├── Tbar-uncon.gif │ ├── Utility.py │ ├── __init__.py │ ├── __pycache__ │ │ ├── EnergyModel.cpython-311.pyc │ │ ├── EnergyModel.cpython-38.pyc │ │ ├── IntegrationLoss.cpython-311.pyc │ │ ├── IntegrationLoss.cpython-38.pyc │ │ ├── MultiLayerNet.cpython-311.pyc │ │ ├── MultiLayerNet.cpython-38.pyc │ │ ├── Utility.cpython-311.pyc │ │ ├── Utility.cpython-38.pyc │ │ ├── __init__.cpython-311.pyc │ │ ├── __init__.cpython-38.pyc │ │ ├── config.cpython-311.pyc │ │ ├── config.cpython-38.pyc │ │ ├── importlib.cpython-311.pyc │ │ └── importlib.cpython-38.pyc │ ├── config.py │ ├── importlib.py │ └── loss.gif ├── high_frequency │ ├── MultiscalePINNs-main.zip │ ├── MultiscalePINNs-main │ │ ├── README.md │ │ ├── Regression │ │ │ ├── Compute_Jacobian_torch.py │ │ │ ├── __pycache__ │ │ │ │ ├── Compute_Jacobian_torch.cpython-311.pyc │ │ │ │ ├── Compute_Jacobian_torch.cpython-38.pyc │ │ │ │ ├── models_torch.cpython-311.pyc │ │ │ │ └── models_torch.cpython-38.pyc │ │ │ ├── models_torch.py │ │ │ ├── pic │ │ │ │ ├── eigenfunction_reg.pdf │ │ │ │ ├── eigenvalue_reg.pdf │ │ │ │ ├── loss_reg.pdf │ │ │ │ ├── prediction_reg.pdf │ │ │ │ └── relative_eigenvalue_reg.pdf │ │ │ ├── regression_kan.py │ │ │ └── regression_mlp_kan.py │ │ └── heat_equation │ │ │ ├── PINNs_kan.py │ │ │ ├── PINNs_mlp.py │ │ │ ├── kan_grid_frequency.py │ │ │ └── pic │ │ │ ├── Abs_u_kan.pdf │ │ │ ├── Abs_u_mlp.pdf │ │ │ ├── Exact_u.pdf │ │ │ ├── L2_fre_grid.pdf │ │ │ ├── Pred_u_kan.pdf │ │ │ └── Pred_u_mlp.pdf │ ├── __pycache__ │ │ ├── kan_efficiency.cpython-311.pyc │ │ └── kan_efficiency.cpython-38.pyc │ └── kan_efficiency.py ├── highest_order │ ├── pic │ │ ├── sigma_r_error_kan.pdf │ │ ├── sigma_r_exact.pdf │ │ ├── sigma_r_pred_kan.pdf │ │ ├── sigma_rtheta_error_kan.pdf │ │ ├── sigma_rtheta_exact.pdf │ │ ├── sigma_rtheta_pred_kan.pdf │ │ ├── sigma_theta_error_kan.pdf │ │ ├── sigma_theta_exact.pdf │ │ └── sigma_theta_pred_kan.pdf │ ├── wedge_KAN.py │ └── wedge_KAN_wrong.py ├── kan_efficiency.py └── non_homo │ ├── __pycache__ │ └── kan_efficiency.cpython-311.pyc │ ├── composite │ ├── composite_chain.py │ ├── delete │ │ ├── composite_points_plot.py │ │ ├── koch_DEM_KAN.py │ │ ├── koch_DEM_MLP.py │ │ ├── koch_PINN_KAN.py │ │ ├── koch_PINN_MLP.py │ │ └── particular_nn │ ├── onehole_DEM_KAN.py │ ├── onehole_DEM_MLP.py │ ├── output_ntk │ │ ├── DEM_KINN │ │ │ ├── DEM_KINN_error.jpg │ │ │ ├── error_dem_KINN.vtu │ │ │ └── pred_dem_KINN.vtu │ │ └── DEM_MLP │ │ │ ├── DEM_MLP_error.jpg │ │ │ ├── error_dem_mlp.vtu │ │ │ └── pred_dem_mlp.vtu │ ├── particular_nn │ ├── pic │ │ ├── L2_error_evolution.pdf │ │ ├── dem_KINN_plane.png │ │ ├── dem_mlp_plane.png │ │ ├── x0_dudy.pdf │ │ ├── x0_u.pdf │ │ └── x0_z_u.pdf │ ├── plot_composite.py │ └── results │ │ ├── DEM_KINN │ │ ├── error_L2.npy │ │ ├── x0_dudy_exact.npy │ │ ├── x0_dudy_pred.npy │ │ ├── x0_u_exact.npy │ │ ├── x0_u_pred.npy │ │ ├── x0_u_z_exact.npy │ │ └── x0_u_z_pred.npy │ │ └── DEM_MLP │ │ ├── error_L2.npy │ │ ├── x0_dudy_exact.npy │ │ ├── x0_dudy_pred.npy │ │ ├── x0_u_exact.npy │ │ ├── x0_u_pred.npy │ │ ├── x0_u_z_exact.npy │ │ └── x0_u_z_pred.npy │ ├── famous_paintings │ ├── FDM_code │ │ ├── GRF.m │ │ ├── con_k.m │ │ ├── contin_K.mat │ │ ├── contin_T.mat │ │ ├── painting.m │ │ ├── picasuo.mat │ │ ├── salvator.mat │ │ ├── sky.mat │ │ └── solve.m │ ├── chain.py │ ├── models │ │ ├── model_PINNs_MLP.pth │ │ ├── model_PINNs_kan.pth │ │ ├── model_kan.pth │ │ └── model_mlp.pth │ ├── painting │ │ ├── jpg_mat.py │ │ ├── picasuo_bw.jpg │ │ ├── picasuo_bw.mat │ │ ├── salvator_bw.jpg │ │ ├── salvator_bw.mat │ │ ├── sky_bw.jpg │ │ └── sky_bw.mat │ ├── plot_data_loss.py │ ├── plot_phy_loss.py │ ├── prediction_elasticity_data_driven_painting.py │ ├── prediction_elasticity_data_driven_painting_gif.py │ ├── prediction_phy_elasticity_con_k.py │ ├── prediction_phy_elasticity_con_k_mlp.py │ └── prediction_phy_elasticity_painting.py │ ├── kan_efficiency.py │ └── regression │ ├── pic │ ├── dudy0zoom_regress2d_heter_1000.pdf │ ├── dudy0zoom_regress2d_heter_10000.pdf │ ├── dudy0zoom_regress2d_heter_30000.pdf │ ├── loss_regress2d_heter.pdf │ ├── x0_regress2d_heter_1000.pdf │ ├── x0_regress2d_heter_10000.pdf │ ├── x0_regress2d_heter_30000.pdf │ ├── x0zoom_regress2d_heter_1000.pdf │ ├── x0zoom_regress2d_heter_10000.pdf │ └── x0zoom_regress2d_heter_30000.pdf │ ├── regression_1d.py │ └── regression_2d.py ├── KINN_graphic_abstract.png ├── Transfer_learning_PINNs ├── DEM_beam │ ├── LoRA_rank │ │ └── LoRA_rank_error.py │ ├── dem_hyperelasticity │ │ ├── Beam2D │ │ │ ├── Beam2D_FGM1_Trip_MLP.py │ │ │ ├── Beam2D_FGM2_Trip_MLP.py │ │ │ ├── Beam2D_FGM_Trip_MLP_full_finetuning.py │ │ │ ├── Beam2D_FGM_Trip_MLP_lightweight.py │ │ │ ├── Beam2D_FGM_Trip_MLP_lora.py │ │ │ ├── Beam2D_FGM_Trip_MLP_lora_r1to20.py │ │ │ ├── Beam2D_FGM_Trip_MLP_lora_r21to40.py │ │ │ ├── Beam2D_FGM_Trip_MLP_lora_r41to60.py │ │ │ ├── Beam2D_FGM_Trip_MLP_lora_r61to80.py │ │ │ ├── Beam2D_FGM_Trip_MLP_lora_r81to100.py │ │ │ ├── Beam2D_FGM_Trip_MLP_lora_r=1.py │ │ │ ├── Beam2D_FGM_Trip_MLP_lora_r=100.py │ │ │ ├── __init__.py │ │ │ ├── __pycache__ │ │ │ │ ├── __init__.cpython-311.pyc │ │ │ │ ├── __init__.cpython-38.pyc │ │ │ │ ├── config.cpython-311.pyc │ │ │ │ ├── config.cpython-38.pyc │ │ │ │ ├── define_structure.cpython-311.pyc │ │ │ │ └── define_structure.cpython-38.pyc │ │ │ ├── config.py │ │ │ ├── define_structure.py │ │ │ ├── error_plot.py │ │ │ ├── error_plot_transfer.py │ │ │ ├── error_scenario_fused.py │ │ │ ├── run.py │ │ │ ├── super.python │ │ │ ├── super1to20.python │ │ │ ├── super20to40.python │ │ │ ├── super40to60.python │ │ │ ├── super60to80.python │ │ │ └── super80to100.python │ │ ├── DeepEnergyMethod.py │ │ ├── EnergyModel.py │ │ ├── IntegrationLoss.py │ │ ├── MultiLayerNet.py │ │ ├── Utility.py │ │ ├── __init__.py │ │ ├── __pycache__ │ │ │ ├── EnergyModel.cpython-311.pyc │ │ │ ├── EnergyModel.cpython-38.pyc │ │ │ ├── IntegrationLoss.cpython-311.pyc │ │ │ ├── IntegrationLoss.cpython-38.pyc │ │ │ ├── MultiLayerNet.cpython-311.pyc │ │ │ ├── MultiLayerNet.cpython-38.pyc │ │ │ ├── Utility.cpython-311.pyc │ │ │ ├── Utility.cpython-38.pyc │ │ │ ├── __init__.cpython-311.pyc │ │ │ ├── __init__.cpython-38.pyc │ │ │ ├── config.cpython-311.pyc │ │ │ ├── config.cpython-38.pyc │ │ │ ├── importlib.cpython-311.pyc │ │ │ └── importlib.cpython-38.pyc │ │ ├── config.py │ │ └── importlib.py │ └── exact_IGA │ │ ├── IGA_exact_solution.py │ │ ├── README.md │ │ ├── database │ │ ├── CreateData-DifferentDomain.py │ │ ├── CreateData.py │ │ ├── disp2D_10x128x32x2.npy │ │ ├── material_10x32.npy │ │ ├── traction_10x128.npy │ │ └── utils │ │ │ ├── Geom.py │ │ │ ├── Geom_examples.py │ │ │ ├── IGA.py │ │ │ ├── __pycache__ │ │ │ ├── Geom.cpython-311.pyc │ │ │ ├── Geom_examples.cpython-311.pyc │ │ │ ├── IGA.cpython-311.pyc │ │ │ ├── assembly.cpython-311.pyc │ │ │ ├── bernstein.cpython-311.pyc │ │ │ ├── boundary.cpython-311.pyc │ │ │ ├── materials.cpython-311.pyc │ │ │ ├── multipatch.cpython-311.pyc │ │ │ ├── postprocessing.cpython-311.pyc │ │ │ └── splines.cpython-311.pyc │ │ │ ├── assembly.py │ │ │ ├── bernstein.py │ │ │ ├── boundary.py │ │ │ ├── materials.py │ │ │ ├── multipatch.py │ │ │ ├── postprocessing.py │ │ │ └── splines.py │ │ ├── persistent_variable.txt │ │ ├── plot_contour.py │ │ └── utils │ │ ├── Geom.py │ │ ├── Geom_examples.py │ │ ├── IGA.py │ │ ├── Solver.py │ │ ├── __pycache__ │ │ ├── Geom.cpython-311.pyc │ │ ├── Geom_examples.cpython-311.pyc │ │ ├── IGA.cpython-311.pyc │ │ ├── Solver.cpython-311.pyc │ │ ├── assembly.cpython-311.pyc │ │ ├── bernstein.cpython-311.pyc │ │ ├── boundary.cpython-311.pyc │ │ ├── fno_2d.cpython-311.pyc │ │ ├── fno_utils.cpython-311.pyc │ │ ├── materials.cpython-311.pyc │ │ ├── multipatch.cpython-311.pyc │ │ ├── postprocessing.cpython-311.pyc │ │ ├── postprocessing_NO.cpython-311.pyc │ │ └── splines.cpython-311.pyc │ │ ├── assembly.py │ │ ├── bernstein.py │ │ ├── boundary.py │ │ ├── fno_2d.py │ │ ├── fno_utils.py │ │ ├── materials.py │ │ ├── multipatch.py │ │ ├── postprocessing.py │ │ ├── postprocessing_NO.py │ │ └── splines.py ├── PINNs_strong_form │ ├── LoRA_rank │ │ ├── LoRA_rank_error.py │ │ ├── omega_error_vs_r_values_wi_3.14_wo_6.28.png │ │ ├── omega_error_vs_r_values_wi_3.14_wo_9.42.png │ │ ├── omega_error_vs_r_values_wi_6.28_wo_3.14.png │ │ ├── omega_error_vs_r_values_wi_6.28_wo_9.42.png │ │ ├── omega_error_vs_r_values_wi_9.42_wo_3.14.png │ │ ├── omega_error_vs_r_values_wi_9.42_wo_6.28.png │ │ ├── psi_error_vs_r_values_wi_3.14_wo_6.28.png │ │ ├── psi_error_vs_r_values_wi_3.14_wo_9.42.png │ │ ├── psi_error_vs_r_values_wi_6.28_wo_3.14.png │ │ ├── psi_error_vs_r_values_wi_6.28_wo_9.42.png │ │ ├── psi_error_vs_r_values_wi_9.42_wo_3.14.png │ │ └── psi_error_vs_r_values_wi_9.42_wo_6.28.png │ └── Taylor_green │ │ ├── Green_vortex_arbitatary_w_KINN.py │ │ ├── Green_vortex_arbitatary_w_KINN_full_finetuning.py │ │ ├── Green_vortex_arbitatary_w_KINN_light_weight.py │ │ ├── Green_vortex_arbitatary_w_KINN_lora.py │ │ ├── Green_vortex_arbitatary_w_KINN_lora_r1.py │ │ ├── Green_vortex_arbitatary_w_KINN_lora_r100.py │ │ ├── Green_vortex_arbitatary_w_PINN.py │ │ ├── Green_vortex_arbitatary_w_PINN_full_finetuning.py │ │ ├── Green_vortex_arbitatary_w_PINN_light_weight.py │ │ ├── Green_vortex_arbitatary_w_PINN_lora.py │ │ ├── Green_vortex_arbitatary_w_PINN_lora1to100.py │ │ ├── Green_vortex_arbitatary_w_PINN_lora1to20.py │ │ ├── Green_vortex_arbitatary_w_PINN_lora20to40.py │ │ ├── Green_vortex_arbitatary_w_PINN_lora40to60.py │ │ ├── Green_vortex_arbitatary_w_PINN_lora60to80.py │ │ ├── Green_vortex_arbitatary_w_PINN_lora80to100.py │ │ ├── Green_vortex_intro.py │ │ ├── __pycache__ │ │ ├── kan_efficiency.cpython-311.pyc │ │ ├── kan_efficiency.cpython-38.pyc │ │ └── kan_efficiency_lora.cpython-311.pyc │ │ ├── error_plot.py │ │ ├── error_plot_transfer.py │ │ ├── kan_efficiency.py │ │ ├── kan_efficiency_lora.py │ │ ├── omega_error_vs_r_values_wi_9.42_wo_6.28.png │ │ ├── run.py │ │ ├── super.python │ │ ├── super0-20.python │ │ ├── super21-40.python │ │ ├── super41-60.python │ │ ├── super61-80.python │ │ ├── super81-100.python │ │ └── taylor_green_intro.pdf └── Plate_hole │ ├── DEM_plate_hole │ ├── DeepEnergyMethod.py │ ├── EnergyModel.py │ ├── IntegrationLoss.py │ ├── MultiLayerNet.py │ ├── Utility.py │ ├── __init__.py │ ├── __pycache__ │ │ ├── EnergyModel.cpython-311.pyc │ │ ├── EnergyModel.cpython-38.pyc │ │ ├── IntegrationLoss.cpython-311.pyc │ │ ├── IntegrationLoss.cpython-38.pyc │ │ ├── MultiLayerNet.cpython-311.pyc │ │ ├── MultiLayerNet.cpython-38.pyc │ │ ├── Utility.cpython-311.pyc │ │ ├── Utility.cpython-38.pyc │ │ ├── __init__.cpython-311.pyc │ │ ├── __init__.cpython-38.pyc │ │ ├── config.cpython-311.pyc │ │ ├── config.cpython-38.pyc │ │ ├── importlib.cpython-311.pyc │ │ └── importlib.cpython-38.pyc │ ├── config.py │ ├── importlib.py │ ├── kan_efficiency.py │ └── plate_hole │ │ ├── Plate_hole_DEM_triangle_circle.py │ │ ├── Plate_hole_DEM_triangle_circle2elipse_full_finetuning.py │ │ ├── Plate_hole_DEM_triangle_circle2elipse_lightweight.py │ │ ├── Plate_hole_DEM_triangle_circle2elipse_lora.py │ │ ├── Plate_hole_DEM_triangle_circle2elipse_lora_r1to20.py │ │ ├── Plate_hole_DEM_triangle_circle2elipse_lora_r21to40.py │ │ ├── Plate_hole_DEM_triangle_circle2elipse_lora_r41to60.py │ │ ├── Plate_hole_DEM_triangle_circle2elipse_lora_r61to80.py │ │ ├── Plate_hole_DEM_triangle_circle2elipse_lora_r81to100.py │ │ ├── Plate_hole_DEM_triangle_circle2elipse_lora_r=1.py │ │ ├── Plate_hole_DEM_triangle_circle2elipse_lora_r=100.py │ │ ├── Plate_hole_DEM_triangle_elipse.py │ │ ├── Plate_hole_DEM_triangle_elipse2circle_full_finetuning.py │ │ ├── Plate_hole_DEM_triangle_elipse2circle_lightweight.py │ │ ├── Plate_hole_DEM_triangle_elipse2circle_lora.py │ │ ├── Plate_hole_DEM_triangle_elipse2circle_lora_r1to20.py │ │ ├── Plate_hole_DEM_triangle_elipse2circle_lora_r21to40.py │ │ ├── Plate_hole_DEM_triangle_elipse2circle_lora_r41to60.py │ │ ├── Plate_hole_DEM_triangle_elipse2circle_lora_r61to80.py │ │ ├── Plate_hole_DEM_triangle_elipse2circle_lora_r81to100.py │ │ ├── Plate_hole_DEM_triangle_elipse2circle_lora_r=1.py │ │ ├── Plate_hole_DEM_triangle_elipse2circle_lora_r=100.py │ │ ├── __init__.py │ │ ├── __pycache__ │ │ ├── Plate_hole_define_structure.cpython-38.pyc │ │ ├── __init__.cpython-311.pyc │ │ ├── __init__.cpython-38.pyc │ │ ├── config.cpython-311.pyc │ │ ├── config.cpython-38.pyc │ │ ├── define_structure.cpython-311.pyc │ │ └── define_structure.cpython-38.pyc │ │ ├── config.py │ │ ├── define_structure.py │ │ ├── hole_abaqus_x=0_circle.xlsx │ │ ├── hole_abaqus_x=0_elipse.xlsx │ │ ├── hole_abaqus_y=0_circle.xlsx │ │ ├── hole_abaqus_y=0_elipse.xlsx │ │ ├── model_outcontourf.py │ │ ├── run.py │ │ ├── scale_law_plot.py │ │ ├── super1to20.python │ │ ├── super20to40.python │ │ ├── super40to60.python │ │ ├── super60to80.python │ │ └── super80to100.python │ ├── LoRA_rank │ └── LoRA_rank_error.py │ ├── MultiLayerNet.py │ ├── __pycache__ │ ├── EnergyModel.cpython-311.pyc │ ├── EnergyModel.cpython-38.pyc │ ├── IntegrationLoss.cpython-311.pyc │ ├── IntegrationLoss.cpython-38.pyc │ ├── MultiLayerNet.cpython-311.pyc │ ├── MultiLayerNet.cpython-38.pyc │ ├── Utility.cpython-311.pyc │ ├── Utility.cpython-38.pyc │ ├── __init__.cpython-311.pyc │ ├── __init__.cpython-38.pyc │ ├── config.cpython-311.pyc │ ├── config.cpython-38.pyc │ ├── importlib.cpython-311.pyc │ └── importlib.cpython-38.pyc │ ├── chain_plate_hole.py │ ├── error_contourf.py │ ├── error_evolution.py │ ├── interface.py │ └── transfer_error_evolution.py ├── data-driven ├── crack_NN.py 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