Index

A

assign_basis_function() (fastvpinns.FE.FE2D_Cell.FE2D_Cell method) (fastvpinns.FE.fe2d_setup_main.FE2DSetupMain method) assign_basis_values_at_quadrature_points() (fastvpinns.FE.FE2D_Cell.FE2D_Cell method) assign_fe_transformation() (fastvpinns.FE.FE2D_Cell.FE2D_Cell method) (fastvpinns.FE.fe2d_setup_main.FE2DSetupMain method)

assign_forcing_term() (fastvpinns.FE.FE2D_Cell.FE2D_Cell method) assign_quad_weights_and_jacobian() (fastvpinns.FE.FE2D_Cell.FE2D_Cell method) assign_quadrature() (fastvpinns.FE.FE2D_Cell.FE2D_Cell method) assign_quadrature_coordinates() (fastvpinns.FE.FE2D_Cell.FE2D_Cell method) assign_quadrature_rules() (fastvpinns.FE.fe2d_setup_main.FE2DSetupMain method)

B

Basis2DQNJacobi (class in fastvpinns.FE.basis_2d_QN_Jacobi)

BasisFunction2D (class in fastvpinns.FE.basis_function_2d)

C

call() (fastvpinns.model.model.DenseModel method) (fastvpinns.model.model_hard.DenseModel_Hard method), [1] (fastvpinns.model.model_inverse.DenseModel_Inverse method) (fastvpinns.model.model_inverse_domain.DenseModel_Inverse_Domain method) compute_errors_combined() (in module fastvpinns.utils.compute_utils)

compute_l1_error() (in module fastvpinns.utils.compute_utils) compute_l1_error_relative() (in module fastvpinns.utils.compute_utils) compute_l2_error() (in module fastvpinns.utils.compute_utils) compute_l2_error_relative() (in module fastvpinns.utils.compute_utils) compute_linf_error() (in module fastvpinns.utils.compute_utils) compute_linf_error_relative() (in module fastvpinns.utils.compute_utils)

D

DataHandler (class in fastvpinns.data.datahandler) DataHandler2D (class in fastvpinns.data.datahandler2d) ddtest_fcn() (fastvpinns.FE.basis_2d_QN_Jacobi.Basis2DQNJacobi method) DenseModel (class in fastvpinns.model.model)

DenseModel_Hard (class in fastvpinns.model.model_hard) DenseModel_Inverse (class in fastvpinns.model.model_inverse) DenseModel_Inverse_Domain (class in fastvpinns.model.model_inverse_domain) djacobi() (fastvpinns.FE.basis_2d_QN_Jacobi.Basis2DQNJacobi method) dtest_fcn() (fastvpinns.FE.basis_2d_QN_Jacobi.Basis2DQNJacobi method)

F

fastvpinns.data.datahandler module fastvpinns.data.datahandler2d module fastvpinns.FE.basis_2d_QN_Jacobi module fastvpinns.FE.basis_function_2d module fastvpinns.FE.FE2D_Cell module fastvpinns.FE.fe2d_setup_main module fastvpinns.FE.fe_transformation_2d module fastvpinns.FE.fespace module fastvpinns.FE.fespace2d module fastvpinns.FE.quad_affine module fastvpinns.FE.quad_bilinear module fastvpinns.FE.quadratureformulas module fastvpinns.FE.quadratureformulas_quad2d module fastvpinns.Geometry.geometry module fastvpinns.Geometry.geometry_2d module

fastvpinns.model.model module fastvpinns.model.model_hard module fastvpinns.model.model_inverse module fastvpinns.model.model_inverse_domain module fastvpinns.physics.cd2d module fastvpinns.physics.cd2d_inverse module fastvpinns.physics.cd2d_inverse_domain module fastvpinns.physics.helmholtz2d module fastvpinns.physics.poisson2d module fastvpinns.physics.poisson2d_inverse module fastvpinns.utils.compute_utils module fastvpinns.utils.plot_utils module fastvpinns.utils.print_utils module FE2D_Cell (class in fastvpinns.FE.FE2D_Cell) FE2DSetupMain (class in fastvpinns.FE.fe2d_setup_main) Fespace (class in fastvpinns.FE.fespace) Fespace2D (class in fastvpinns.FE.fespace2d) FETransforamtion2D (class in fastvpinns.FE.fe_transformation_2d)

G

generate_dirichlet_boundary_data() (fastvpinns.FE.fespace.Fespace method) (fastvpinns.FE.fespace2d.Fespace2D method) generate_dirichlet_boundary_data_vector() (fastvpinns.FE.fespace2d.Fespace2D method) generate_plot() (fastvpinns.FE.fespace2d.Fespace2D method) generate_quad_mesh_internal() (fastvpinns.Geometry.geometry_2d.Geometry_2D method) generate_vtk_for_test() (fastvpinns.Geometry.geometry.Geometry method) (fastvpinns.Geometry.geometry_2d.Geometry_2D method) Geometry (class in fastvpinns.Geometry.geometry) Geometry_2D (class in fastvpinns.Geometry.geometry_2d) get_bilinear_params_dict_as_tensors() (fastvpinns.data.datahandler.DataHandler method) (fastvpinns.data.datahandler2d.DataHandler2D method) get_config() (fastvpinns.model.model.DenseModel method) (fastvpinns.model.model_hard.DenseModel_Hard method), [1] (fastvpinns.model.model_inverse.DenseModel_Inverse method) (fastvpinns.model.model_inverse_domain.DenseModel_Inverse_Domain method) get_dirichlet_input() (fastvpinns.data.datahandler.DataHandler method) (fastvpinns.data.datahandler2d.DataHandler2D method) get_forcing_function_values() (fastvpinns.FE.fespace.Fespace method) (fastvpinns.FE.fespace2d.Fespace2D method) get_forcing_function_values_vector() (fastvpinns.FE.fespace2d.Fespace2D method) get_inverse_params() (fastvpinns.data.datahandler.DataHandler method) (fastvpinns.data.datahandler2d.DataHandler2D method) get_jacobian() (fastvpinns.FE.fe_transformation_2d.FETransforamtion2D method) (fastvpinns.FE.quad_affine.QuadAffin method) (fastvpinns.FE.quad_bilinear.QuadBilinear method) get_num_quad_points() (fastvpinns.FE.quadratureformulas.Quadratureformulas method) (fastvpinns.FE.quadratureformulas_quad2d.Quadratureformulas_Quad2D method) get_orig_from_ref_derivative() (fastvpinns.FE.quad_affine.QuadAffin method) (fastvpinns.FE.quad_bilinear.QuadBilinear method) get_orig_from_ref_second_derivative() (fastvpinns.FE.quad_affine.QuadAffin method) (fastvpinns.FE.quad_bilinear.QuadBilinear method) get_original_from_ref() (fastvpinns.FE.fe_transformation_2d.FETransforamtion2D method) (fastvpinns.FE.quad_affine.QuadAffin method) (fastvpinns.FE.quad_bilinear.QuadBilinear method)

get_quad_values() (fastvpinns.FE.quadratureformulas.Quadratureformulas method) (fastvpinns.FE.quadratureformulas_quad2d.Quadratureformulas_Quad2D method) get_quadrature_actual_coordinates() (fastvpinns.FE.fespace.Fespace method) (fastvpinns.FE.fespace2d.Fespace2D method) get_quadrature_weights() (fastvpinns.FE.fespace2d.Fespace2D method) get_sensor_data() (fastvpinns.data.datahandler.DataHandler method) (fastvpinns.data.datahandler2d.DataHandler2D method) (fastvpinns.FE.fespace.Fespace method) (fastvpinns.FE.fespace2d.Fespace2D method) get_sensor_data_external() (fastvpinns.FE.fespace.Fespace method) (fastvpinns.FE.fespace2d.Fespace2D method) get_shape_function_grad_x() (fastvpinns.FE.fespace.Fespace method) (fastvpinns.FE.fespace2d.Fespace2D method) get_shape_function_grad_x_ref() (fastvpinns.FE.fespace.Fespace method) (fastvpinns.FE.fespace2d.Fespace2D method) get_shape_function_grad_y() (fastvpinns.FE.fespace.Fespace method) (fastvpinns.FE.fespace2d.Fespace2D method) get_shape_function_grad_y_ref() (fastvpinns.FE.fespace.Fespace method) (fastvpinns.FE.fespace2d.Fespace2D method) get_shape_function_val() (fastvpinns.FE.fespace.Fespace method) (fastvpinns.FE.fespace2d.Fespace2D method) get_test_points() (fastvpinns.data.datahandler.DataHandler method) (fastvpinns.data.datahandler2d.DataHandler2D method) (fastvpinns.Geometry.geometry.Geometry method) (fastvpinns.Geometry.geometry_2d.Geometry_2D method) gradx() (fastvpinns.FE.basis_2d_QN_Jacobi.Basis2DQNJacobi method) (fastvpinns.FE.basis_function_2d.BasisFunction2D method) gradxx() (fastvpinns.FE.basis_2d_QN_Jacobi.Basis2DQNJacobi method) (fastvpinns.FE.basis_function_2d.BasisFunction2D method) gradxy() (fastvpinns.FE.basis_2d_QN_Jacobi.Basis2DQNJacobi method) (fastvpinns.FE.basis_function_2d.BasisFunction2D method) grady() (fastvpinns.FE.basis_2d_QN_Jacobi.Basis2DQNJacobi method) (fastvpinns.FE.basis_function_2d.BasisFunction2D method) gradyy() (fastvpinns.FE.basis_2d_QN_Jacobi.Basis2DQNJacobi method) (fastvpinns.FE.basis_function_2d.BasisFunction2D method)

J

jacobi_wrapper() (fastvpinns.FE.basis_2d_QN_Jacobi.Basis2DQNJacobi method)

M

module fastvpinns.data.datahandler fastvpinns.data.datahandler2d fastvpinns.FE.basis_2d_QN_Jacobi fastvpinns.FE.basis_function_2d fastvpinns.FE.FE2D_Cell fastvpinns.FE.fe2d_setup_main fastvpinns.FE.fe_transformation_2d fastvpinns.FE.fespace fastvpinns.FE.fespace2d fastvpinns.FE.quad_affine fastvpinns.FE.quad_bilinear fastvpinns.FE.quadratureformulas fastvpinns.FE.quadratureformulas_quad2d fastvpinns.Geometry.geometry fastvpinns.Geometry.geometry_2d fastvpinns.model.model fastvpinns.model.model_hard fastvpinns.model.model_inverse fastvpinns.model.model_inverse_domain fastvpinns.physics.cd2d fastvpinns.physics.cd2d_inverse fastvpinns.physics.cd2d_inverse_domain fastvpinns.physics.helmholtz2d fastvpinns.physics.poisson2d fastvpinns.physics.poisson2d_inverse fastvpinns.utils.compute_utils fastvpinns.utils.plot_utils fastvpinns.utils.print_utils

P

pde_loss_cd2d() (in module fastvpinns.physics.cd2d) (in module fastvpinns.physics.cd2d_inverse) pde_loss_cd2d_inverse_domain() (in module fastvpinns.physics.cd2d_inverse_domain) pde_loss_helmholtz() (in module fastvpinns.physics.helmholtz2d) pde_loss_poisson() (in module fastvpinns.physics.poisson2d) pde_loss_poisson_inverse() (in module fastvpinns.physics.poisson2d_inverse) plot_adaptive_mesh() (fastvpinns.Geometry.geometry_2d.Geometry_2D method) plot_array() (in module fastvpinns.utils.plot_utils)

plot_contour() (in module fastvpinns.utils.plot_utils) plot_inverse_param_function() (in module fastvpinns.utils.plot_utils) plot_inverse_test_loss_function() (in module fastvpinns.utils.plot_utils) plot_loss_function() (in module fastvpinns.utils.plot_utils) plot_multiple_loss_function() (in module fastvpinns.utils.plot_utils) plot_test_loss_function() (in module fastvpinns.utils.plot_utils) plot_test_time_loss_function() (in module fastvpinns.utils.plot_utils) print_table() (in module fastvpinns.utils.print_utils)

Q

QuadAffin (class in fastvpinns.FE.quad_affine) QuadBilinear (class in fastvpinns.FE.quad_bilinear)

Quadratureformulas (class in fastvpinns.FE.quadratureformulas) Quadratureformulas_Quad2D (class in fastvpinns.FE.quadratureformulas_quad2d)

R

read_mesh() (fastvpinns.Geometry.geometry.Geometry method) (fastvpinns.Geometry.geometry_2d.Geometry_2D method)

S

set_cell() (fastvpinns.FE.fe_transformation_2d.FETransforamtion2D method) (fastvpinns.FE.quad_affine.QuadAffin method) (fastvpinns.FE.quad_bilinear.QuadBilinear method)

set_finite_elements() (fastvpinns.FE.fespace.Fespace method) (fastvpinns.FE.fespace2d.Fespace2D method)

T

test_fcnx() (fastvpinns.FE.basis_2d_QN_Jacobi.Basis2DQNJacobi method) test_fcny() (fastvpinns.FE.basis_2d_QN_Jacobi.Basis2DQNJacobi method) train_step() (fastvpinns.model.model.DenseModel method) (fastvpinns.model.model_hard.DenseModel_Hard method), [1] (fastvpinns.model.model_inverse.DenseModel_Inverse method) (fastvpinns.model.model_inverse_domain.DenseModel_Inverse_Domain method)

V

value() (fastvpinns.FE.basis_2d_QN_Jacobi.Basis2DQNJacobi method) (fastvpinns.FE.basis_function_2d.BasisFunction2D method)

W

write_vtk() (fastvpinns.Geometry.geometry_2d.Geometry_2D method)