Index

A

adaptive_load_stepping() (in module autopdex.solver) assemble_residual() (in module autopdex.assembler)

assemble_tangent() (in module autopdex.assembler) assemble_tangent_diagonal() (in module autopdex.assembler)

B

burgers_equation_inviscid() (in module autopdex.models)

C

central_differences() (in module autopdex.models)

centroid() (in module autopdex.geometry) custom_root() (in module autopdex.implicit_diff)

D

d_alembert() (in module autopdex.models) d_alembert_fos() (in module autopdex.models) damped_jacobi_relaxation() (in module autopdex.solver) dense_assemble_residual() (in module autopdex.assembler) dense_assemble_tangent() (in module autopdex.assembler)

dense_integrate_functional() (in module autopdex.assembler) dict_flatten() (in module autopdex.utility) dict_zeros_like() (in module autopdex.utility) direct_residual_at_int_point() (in module autopdex.variational_schemes) dof_select() (in module autopdex.utility)

E

elem_in_plane() (in module autopdex.geometry)

elem_on_line() (in module autopdex.geometry) estimate_size() (in module autopdex.seeder)

F

fem_ini_simplex() (in module autopdex.spaces) fem_iso_line_quad_brick() (in module autopdex.spaces)

first_order_normalization() (in module autopdex.geometry) forward_backward_euler_weak() (in module autopdex.models) functional_at_int_point() (in module autopdex.variational_schemes)

G

gauss_legendre_1d() (in module autopdex.seeder) gauss_legendre_nd() (in module autopdex.seeder) gauss_lobatto_1d() (in module autopdex.seeder)

gauss_lobatto_nd() (in module autopdex.seeder) gauss_points_in_psdf() (in module autopdex.seeder) get_condition_number() (in module autopdex.utility)

H

heat_equation() (in module autopdex.models) heat_equation_fos() (in module autopdex.models)

hyperelastic_steady_state_fos() (in module autopdex.models) hyperelastic_steady_state_weak() (in module autopdex.models)

I

in_plane() (in module autopdex.geometry) in_planes() (in module autopdex.geometry) in_sdf() (in module autopdex.geometry) in_sdfs() (in module autopdex.geometry) int_pts_in_line_mesh() (in module autopdex.seeder) int_pts_in_tet_mesh() (in module autopdex.seeder) int_pts_in_tri_mesh() (in module autopdex.seeder) int_pts_line() (in module autopdex.seeder) int_pts_ref_tet() (in module autopdex.seeder)

int_pts_ref_tri() (in module autopdex.seeder) int_pts_tet() (in module autopdex.seeder) int_pts_tri() (in module autopdex.seeder) integrate_functional() (in module autopdex.assembler) isochoric_neo_hooke() (in module autopdex.models) isoparametric_domain_element_galerkin() (in module autopdex.models) isoparametric_domain_integrate_potential() (in module autopdex.models) isoparametric_surface_element_galerkin() (in module autopdex.models) isosurface() (in module autopdex.plotter)

J

jacfwd_upto_n_one_vector_arg() (in module autopdex.utility) jacfwd_upto_n_scalar_args() (in module autopdex.utility) jacobi_method() (in module autopdex.solver)

jit_with_docstring() (in module autopdex.utility) jnp_to_tuple() (in module autopdex.utility) just_in_psdf() (in module autopdex.seeder)

L

least_square_function_approximation() (in module autopdex.variational_schemes) least_square_pde_loss() (in module autopdex.variational_schemes) linear_elastic_strain_energy() (in module autopdex.models) linear_elasticity() (in module autopdex.models) linear_elasticity_fos() (in module autopdex.models)

linear_elasticity_weak() (in module autopdex.models) linear_solve_jax() (in module autopdex.solver) linear_solve_pardiso() (in module autopdex.solver) linear_solve_petsc() (in module autopdex.solver) linear_solve_pyamg() (in module autopdex.solver) linear_solve_scipy() (in module autopdex.solver)

M

mask_op() (in module autopdex.utility) mask_select() (in module autopdex.utility) mask_set() (in module autopdex.utility) mixed_reference_domain_potential() (in module autopdex.models)

mixed_reference_domain_residual() (in module autopdex.models) mixed_reference_surface_potential() (in module autopdex.models) mixed_reference_surface_residual() (in module autopdex.models) moving_least_squares() (in module autopdex.spaces)

N

navier_stokes_incompressible() (in module autopdex.models) navier_stokes_incompressible_steady() (in module autopdex.models) neo_hooke() (in module autopdex.models)

neumann_weak() (in module autopdex.models) normal() (in module autopdex.geometry) normals_from_normalized_sdf() (in module autopdex.geometry)

O

on_line() (in module autopdex.geometry) on_lines() (in module autopdex.geometry)

on_point() (in module autopdex.geometry) only_positive() (in module autopdex.geometry)

P

poisson() (in module autopdex.models) poisson_fos() (in module autopdex.models) poisson_weak() (in module autopdex.models) precompile() (in module autopdex.solution_structures) precompute_coupled_boundary() (in module autopdex.solution_structures) precompute_function_and_derivatives() (in module autopdex.solution_structures) precompute_projection() (in module autopdex.solution_structures) precompute_shape_functions() (in module autopdex.spaces) project() (in module autopdex.geometry) project_on_line() (in module autopdex.geometry) psdf_arc_in_2d() (in module autopdex.geometry) psdf_cylinder() (in module autopdex.geometry)

psdf_cylinder_extruded() (in module autopdex.geometry) psdf_infinite_cylinder() (in module autopdex.geometry) psdf_infinite_line() (in module autopdex.geometry) psdf_infinite_triprism_3d() (in module autopdex.geometry) psdf_nd_sphere() (in module autopdex.geometry) psdf_nd_sphere_cutout() (in module autopdex.geometry) psdf_parallelogram() (in module autopdex.geometry) psdf_polygon() (in module autopdex.geometry) psdf_triangle_2d() (in module autopdex.geometry) psdf_trimmed_line() (in module autopdex.geometry) psdf_unification() (in module autopdex.geometry) pv_function_plot() (in module autopdex.plotter) pv_plot() (in module autopdex.plotter)

Q

quasi_random_in_box() (in module autopdex.seeder)

quasi_random_in_psdf() (in module autopdex.seeder)

R

r_conjunction() (in module autopdex.geometry) r_disjunction() (in module autopdex.geometry) r_equivalence() (in module autopdex.geometry) r_trimming() (in module autopdex.geometry)

regular_in_box() (in module autopdex.seeder) regular_in_psdf() (in module autopdex.seeder) reshape_as() (in module autopdex.utility) residual_from_deriv_at_int_point() (in module autopdex.variational_schemes)

S

scipy_assembling() (in module autopdex.solver) sdf_convex_polygon_2d() (in module autopdex.geometry) sdf_cuboid() (in module autopdex.geometry) sdf_cylinder() (in module autopdex.geometry) sdf_cylinder_extruded() (in module autopdex.geometry) sdf_infinite_cylinder() (in module autopdex.geometry) sdf_infinite_line() (in module autopdex.geometry) sdf_infinite_triprism_3d() (in module autopdex.geometry) sdf_nd_planes() (in module autopdex.geometry) sdf_nd_sphere() (in module autopdex.geometry) sdf_normal_to_direction() (in module autopdex.geometry) sdf_parallelogram_2d() (in module autopdex.geometry) sdf_triangle_2d() (in module autopdex.geometry) search_neighborhood() (in module autopdex.utility) select_elements_in_plane() (in module autopdex.geometry) select_elements_on_line() (in module autopdex.geometry) select_in_plane() (in module autopdex.geometry) select_in_sdfs() (in module autopdex.geometry) select_on_line() (in module autopdex.geometry)

select_point() (in module autopdex.geometry) signed_to_positive() (in module autopdex.geometry) solution_space() (in module autopdex.spaces) solution_structure() (in module autopdex.solution_structures) solve_damped_newton() (in module autopdex.solver) solve_diagonal_linear() (in module autopdex.solver) solve_linear() (in module autopdex.solver) solve_newton() (in module autopdex.solver) solve_nonlinear_minimization() (in module autopdex.solver) solver() (in module autopdex.solver) sparse_assemble_residual() (in module autopdex.assembler) sparse_assemble_tangent() (in module autopdex.assembler) sparse_assemble_tangent_diagonal() (in module autopdex.assembler) sparse_integrate_functional() (in module autopdex.assembler) strong_form_galerkin() (in module autopdex.variational_schemes) structured_mesh() (in module autopdex.mesher) subelem_in_elem() (in module autopdex.geometry) subelem_in_elems() (in module autopdex.geometry) subelems_in_elems() (in module autopdex.geometry) symmetry_check() (in module autopdex.utility)

T

tensor_product_rule() (in module autopdex.seeder) tensor_product_two_coordinate_arrays() (in module autopdex.seeder) to_jax_function() (in module autopdex.utility)

transfinite_interpolation() (in module autopdex.geometry) transport_equation() (in module autopdex.models) triangle_area() (in module autopdex.geometry) triangle_areas() (in module autopdex.geometry)

U

user_element_assemble_residual() (in module autopdex.assembler) user_element_assemble_tangent() (in module autopdex.assembler) user_element_assemble_tangent_diagonal() (in module autopdex.assembler) user_potential_assemble_residual() (in module autopdex.assembler) user_potential_assemble_tangent() (in module autopdex.assembler)

user_potential_assemble_tangent_diagonal() (in module autopdex.assembler) user_potential_integrate_functional() (in module autopdex.assembler) user_residual_assemble_residual() (in module autopdex.assembler) user_residual_assemble_tangent() (in module autopdex.assembler) user_residual_assemble_tangent_diagonal() (in module autopdex.assembler)

W

weak_form_galerkin() (in module autopdex.variational_schemes)