Index

_

__init__() (autopdex.dae.AdamsBashforth method) (autopdex.dae.AdamsMoulton method) (autopdex.dae.BackwardDiffFormula method) (autopdex.dae.BackwardEuler method) (autopdex.dae.ConstantStepSizeController method) (autopdex.dae.CSSControllerState method) (autopdex.dae.DiagonallyImplicitRungeKutta method) (autopdex.dae.DormandPrince method) (autopdex.dae.ExplicitRungeKutta method) (autopdex.dae.ForwardEuler method) (autopdex.dae.GaussLegendreRungeKutta method) (autopdex.dae.HistoryState method) (autopdex.dae.Kvaerno method) (autopdex.dae.Newmark method) (autopdex.dae.PIDController method) (autopdex.dae.PIDControllerState method) (autopdex.dae.RootIterationController method) (autopdex.dae.RootIterationControllerState method) (autopdex.dae.RootSolverResult method) (autopdex.dae.SaveAllHistoryState method) (autopdex.dae.SaveAllPolicy method) (autopdex.dae.SaveEquidistantHistoryState method) (autopdex.dae.SaveEquidistantPolicy method) (autopdex.dae.SaveNothingPolicy method) (autopdex.dae.SavePolicy method) (autopdex.dae.StepSizeController method) (autopdex.dae.TimeIntegrator method) (autopdex.dae.TimeSteppingManager method) (autopdex.dae.TimeSteppingManagerState method) (autopdex.models.ModelContext method) (autopdex.SimState method) (autopdex.spaces.H1 method) (autopdex.spaces.InternalVariable method) (autopdex.spaces.L2 method)

A

AdamsBashforth (class in autopdex.dae) AdamsMoulton (class in autopdex.dae) adaptive_load_stepping() (in module autopdex.solver) add_local_subsystem() (autopdex.SimState method) add_model() (autopdex.SimState method) add_strong_bc() (autopdex.SimState method) add_structured_mesh() (autopdex.SimState method) add_temporal_discretization() (autopdex.SimState method) add_weak_bc() (autopdex.SimState method) assemble_residual() (in module autopdex.assembler) assemble_tangent() (in module autopdex.assembler) assemble_tangent_diagonal() (in module autopdex.assembler) aug_lag_potential() (in module autopdex.models) autopdex.assembler module autopdex.dae module autopdex.geometry module

autopdex.implicit_diff module autopdex.mesher module autopdex.models module autopdex.plotter module autopdex.seeder module autopdex.solution_structures module autopdex.solver module autopdex.spaces module autopdex.utility module autopdex.variational_schemes module

B

BackwardDiffFormula (class in autopdex.dae)

BackwardEuler (class in autopdex.dae) burgers_equation_inviscid() (in module autopdex.models)

C

centroid() (in module autopdex.geometry) ConstantStepSizeController (class in autopdex.dae) controller_state (autopdex.dae.TimeSteppingManagerState attribute) (autopdex.SimState property)

CSSControllerState (class in autopdex.dae) 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) detect_stage_dependencies() (in module autopdex.dae) DiagonallyImplicitRungeKutta (class in autopdex.dae)

dict_flatten() (in module autopdex.utility) dict_zeros_like() (in module autopdex.utility) direct_residual_at_int_point() (in module autopdex.variational_schemes) discrete_value_with_derivatives (in module autopdex.dae) dof_select() (in module autopdex.utility) dofs (autopdex.SimState attribute) DormandPrince (class in autopdex.dae) dt (autopdex.dae.TimeSteppingManagerState attribute) (autopdex.SimState property)

E

elem_in_plane() (in module autopdex.geometry) elem_on_line() (in module autopdex.geometry) elevate_mesh_order() (in module autopdex.mesher) estimate_size() (in module autopdex.seeder) examples.cooks_membrane.quadrilaterals_autopdex_and_acegen module examples.cooks_membrane.uncertainty_estimation_hyperelastic module

examples.heat_conduction.maze_forward_euler module examples.miscellaneous.wave_equation module examples.navier_stokes.circle_in_channel module ExplicitRungeKutta (class in autopdex.dae)

F

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

first_order_normalization() (in module autopdex.geometry) ForwardEuler (class in autopdex.dae) 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) GaussLegendreRungeKutta (class in autopdex.dae) get_condition_number() (in module autopdex.utility)

H

H1 (class in autopdex.spaces) heat_equation() (in module autopdex.models) heat_equation_fos() (in module autopdex.models) history (autopdex.dae.TimeSteppingManagerState attribute) (autopdex.SimState property)

HistoryState (class in autopdex.dae) hyperelastic_steady_state_fos() (in module autopdex.models) hyperelastic_steady_state_weak() (in module autopdex.models)

I

import_mesh() (autopdex.SimState method) in_plane() (in module autopdex.geometry) in_planes() (in module autopdex.geometry) in_sdf() (in module autopdex.geometry) in_sdfs() (in module autopdex.geometry) initialize() (autopdex.SimState method) 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) internal_vars (autopdex.models.ModelContext attribute) InternalVariable (class in autopdex.spaces) invert_butcher_with_order() (in module autopdex.dae) 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)

K

kelvin_mandel_extract() (in module autopdex.models)

Kvaerno (class in autopdex.dae)

L

L2 (class in autopdex.spaces) 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) local_solvers (autopdex.models.ModelContext attribute)

M

mask_op() (in module autopdex.utility) mask_select() (in module autopdex.utility) mask_set() (in module autopdex.utility) mixed_reference_domain_int_var_updates() (in module autopdex.models) mixed_reference_domain_potential() (in module autopdex.models) mixed_reference_domain_residual() (in module autopdex.models) mixed_reference_domain_residual_time() (in module autopdex.models) mixed_reference_surface_potential() (in module autopdex.models) mixed_reference_surface_residual() (in module autopdex.models) mode (autopdex.models.ModelContext attribute) ModelContext (class in autopdex.models) module autopdex.assembler autopdex.dae autopdex.geometry autopdex.implicit_diff autopdex.mesher autopdex.models autopdex.plotter autopdex.seeder autopdex.solution_structures autopdex.solver autopdex.spaces autopdex.utility autopdex.variational_schemes examples.cooks_membrane.quadrilaterals_autopdex_and_acegen examples.cooks_membrane.uncertainty_estimation_hyperelastic examples.heat_conduction.maze_forward_euler examples.miscellaneous.wave_equation examples.navier_stokes.circle_in_channel

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) Newmark (class in autopdex.dae) newton_solver() (in module autopdex.dae) normal() (in module autopdex.geometry)

normals_from_normalized_sdf() (in module autopdex.geometry) num_accepted (autopdex.dae.TimeSteppingManagerState attribute) (autopdex.SimState property) num_rejected (autopdex.dae.TimeSteppingManagerState attribute) (autopdex.SimState property) num_steps (autopdex.dae.TimeSteppingManagerState attribute) (autopdex.SimState property)

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

PIDController (class in autopdex.dae) PIDControllerState (class in autopdex.dae) 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) prepare() (autopdex.SimState method) 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

q (autopdex.dae.HistoryState attribute) (autopdex.dae.TimeSteppingManagerState attribute) (autopdex.SimState property)

q_der_n (autopdex.dae.TimeSteppingManagerState attribute) q_n (autopdex.dae.TimeSteppingManagerState attribute) 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) RootIterationController (class in autopdex.dae) RootIterationControllerState (class in autopdex.dae) RootSolverResult (class in autopdex.dae) run() (autopdex.dae.TimeSteppingManager method) (autopdex.SimState method)

S

SaveAllHistoryState (class in autopdex.dae) SaveAllPolicy (class in autopdex.dae) SaveEquidistantHistoryState (class in autopdex.dae) SaveEquidistantPolicy (class in autopdex.dae) SaveNothingPolicy (class in autopdex.dae) SavePolicy (class in autopdex.dae) 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)

set_dof_scaling() (autopdex.SimState method) set_initial_conditions() (autopdex.SimState method) set_postprocessing_policy() (autopdex.SimState method) set_root_solver() (autopdex.SimState method) set_step_size_controller() (autopdex.SimState method) settings (autopdex.dae.TimeSteppingManagerState attribute) signed_to_positive() (in module autopdex.geometry) SimState (class in autopdex) 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) StepSizeController (class in autopdex.dae) 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

t (autopdex.dae.HistoryState attribute) tensor_product_rule() (in module autopdex.seeder) tensor_product_two_coordinate_arrays() (in module autopdex.seeder) test_ansatz (autopdex.models.ModelContext attribute) TimeIntegrator (class in autopdex.dae) TimeSteppingManager (class in autopdex.dae)

TimeSteppingManagerState (class in autopdex.dae) to_jax_function() (in module autopdex.utility) transfinite_interpolation() (in module autopdex.geometry) transport_equation() (in module autopdex.models) trial_ansatz (autopdex.models.ModelContext attribute) triangle_area() (in module autopdex.geometry) triangle_areas() (in module autopdex.geometry)

U

user (autopdex.dae.HistoryState attribute) 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)

X

x_int (autopdex.models.ModelContext attribute)