Index

_

__init__() (BufferDict method) (BufferList method) (Condenser method) (DistributedMesh method) (ElementAssembler method) (ExplicitEuler method) (ExplicitRungeKutta method) (FacetAssembler method) (HeatMultiFrequency method) (Hexahedron method) (ImplicitLinearEuler method) (ImplicitLinearRungeKutta method) (IsotropicMaterial method) (Line method) (Mesh method) (MeshGen method) (MidPointLinearEuler method) (NodeAssembler method) (OCOptimizer method) (PoissonMultiFrequency method) (Polynomial method) (Polynomials method) (Prism method) (Pyramid method) (Quadrilateral method) (SparseMatrix method) (StreamPlotter method) (Tetrahedron method) (Transformation method) (Triangle method) (WaveMultiFrequency method)

_coef (Polynomials attribute) _exp (Polynomials attribute)

A

add_circle() (MeshGen method) add_cube() (MeshGen method) add_rectangle() (MeshGen method) add_sphere() (MeshGen method) animate_deformation() (in module tensormesh.visualization.animation) append() (BufferList method) apply_coefficient() (Polynomials method)

as_buffer() (BufferDict method) (BufferList method) as_ndarray() (in module tensormesh.visualization.utils) as_parameter() (BufferDict method) (BufferList method) as_sparse_matrix() (in module tensormesh.visualization.utils) as_tensor() (in module tensormesh.visualization.utils)

B

basis (Transformation property) basis_order (Transformation attribute) batch_elements_coords() (Transformation method) batch_quadrature() (Transformation method)

batch_shape_grad_jxw() (Transformation method) batch_shape_val() (Transformation method) boundary_mask (Mesh property) BufferDict (class in tensormesh.nn) BufferList (class in tensormesh.nn)

C

cell (Element attribute) cell_data (Mesh attribute) cell_sets (Mesh attribute) cells (Mesh attribute) clone() (BufferDict method) (BufferList method) (Mesh method) col (SparseMatrix property) color() (Mesh method)

combine() (SparseMatrix static method) combine_matrix() (SparseMatrix static method) combine_vector() (SparseMatrix static method) compile() (NodeAssembler method) condense_rhs() (Condenser method) Condenser (class in tensormesh) const_node_assembler() (in module tensormesh) ContactAssembler (class in tensormesh.assemble) cpu() (SparseMatrix method) cuda() (SparseMatrix method)

D

default_eletyp (Mesh attribute) degree() (SparseMatrix method) deriv() (Polynomial method) (Polynomials method) detach() (SparseMatrix method) detF (Transformation property) detG (Transformation property) detJ (Transformation property) deviatoric_stress() (in module tensormesh.functional.elasticity) deviatoric_stress_norm() (in module tensormesh.functional.elasticity) device (BufferDict property) (BufferList property) (ElementAssembler property) (FacetAssembler property) (Mesh property) (NodeAssembler property) (Polynomial property) (Polynomials attribute) (Transformation property) dim (Element attribute) (Transformation property) dim() (in module tensormesh.visualization.utils) (Polynomials method) dim2eletyp (Mesh attribute) dimension (ElementAssembler attribute) (FacetAssembler attribute) (NodeAssembler attribute) dirichlet_mask (Condenser attribute) dirichlet_value (Condenser attribute) distributed_element_assemble() (in module tensormesh.distributed)

distributed_element_assemble_to_sparse() (in module tensormesh.distributed) distributed_node_assemble() (in module tensormesh.distributed) DistributedMesh (class in tensormesh.distributed) divide() (in module tensormesh.functional.ops) double() (SparseMatrix method) draw_element_value() (in module tensormesh.visualization.draw_element_value) draw_element_value_2d() (in module tensormesh.visualization.draw_element_value) draw_element_value_2d_tri() (in module tensormesh.visualization.draw_element_value) draw_element_value_3d() (in module tensormesh.visualization.draw_element_value) draw_face() (in module tensormesh.visualization.draw_facet) draw_facet_2d() (in module tensormesh.visualization.draw_facet) draw_graph() (in module tensormesh.visualization.draw_graph) draw_mesh() (in module tensormesh.visualization.draw_mesh) draw_mesh_2d() (StreamPlotter method) draw_mesh_2d_static() (in module tensormesh.visualization.stream_plotter) draw_mesh_2d_stream() (in module tensormesh.visualization.stream_plotter) draw_point_value() (in module tensormesh.visualization.draw_point_value) draw_point_value_2d() (in module tensormesh.visualization.draw_point_value) draw_point_value_2d_interpolation() (in module tensormesh.visualization.draw_point_value) draw_point_value_2d_tri_gouraud() (in module tensormesh.visualization.draw_point_value) draw_point_value_3d_interpolation() (in module tensormesh.visualization.draw_point_value) dtype (BufferDict property) (BufferList property) (ElementAssembler property) (FacetAssembler property) (Mesh property) (NodeAssembler property) (Polynomial property) (Polynomials attribute) (Transformation property)

E

E (IsotropicMaterial attribute) edata (SparseMatrix property) edge (Element attribute) edges (ElementAssembler attribute) (SparseMatrix property) Element (class in tensormesh) element (Transformation attribute) element_adjacency() (Mesh method) element_coords (Transformation property) element_energy() (ContactAssembler method) (ElementAssembler method) (J2Plasticity method) (LinearElasticityElementAssembler method) (NeoHookeanModel method) element_to_edge() (Element class method) element_to_facet() (Element class method) element_type2dimension (in module tensormesh) element_type2element() (in module tensormesh) element_type2order (in module tensormesh)

element_types (ElementAssembler attribute) (FacetAssembler attribute) (in module tensormesh) (NodeAssembler attribute) ElementAssembler (class in tensormesh) elements (ElementAssembler attribute) (NodeAssembler attribute) (Transformation attribute) elements() (Mesh method) energy() (ContactAssembler method) (ElementAssembler method) (NeoHookeanModel method) eval_cell_jacobian() (Element class method) eval_facet_cell_jacobian() (Element class method) eval_facet_jacobian() (Element class method) eval_shape_grad() (Element class method) eval_shape_val() (Element class method) ExplicitEuler (class in tensormesh.ode) ExplicitRungeKutta (class in tensormesh.ode) eye() (SparseMatrix static method)

F

F (Transformation property) face (Element attribute) facet_jacobian (Transformation property) facet_mask (FacetAssembler attribute) facet_quadrature (Transformation property) facet_shape_grad (Transformation property) facet_shape_val (Transformation property) FacetAssembler (class in tensormesh) facets (Transformation property) field_data (Mesh attribute) flat_mode() (NodeAssembler method) float() (SparseMatrix method) forward() (ElementAssembler method) (ExplicitRungeKutta method) (FacetAssembler method) (LaplaceElementAssembler method) (LinearElasticityElementAssembler method) (MassElementAssembler method) (NodeAssembler method) (Polynomial method) (Polynomials method)

forward_A() (ImplicitLinearRungeKutta method) forward_B() (ImplicitLinearRungeKutta method) forward_M() (ImplicitLinearRungeKutta method) from_assembler() (ElementAssembler class method) (FacetAssembler class method) (NodeAssembler class method) from_block_coo() (SparseMatrix static method) from_dense() (SparseMatrix static method) from_elements() (FacetAssembler class method) (NodeAssembler class method) from_file() (Mesh class method) from_mesh() (ElementAssembler class method) (FacetAssembler class method) (NodeAssembler class method) from_meshio() (Mesh class method) from_scipy_coo() (SparseMatrix static method) from_sparse_coo() (SparseMatrix static method) full() (SparseMatrix static method) func_node_assembler() (in module tensormesh) FxW (Transformation property)

G

G (Transformation property) gen() (MeshGen method) gen_circle() (in module tensormesh.dataset) (Mesh static method) gen_cube() (in module tensormesh.dataset) (Mesh static method) gen_hollow_circle() (in module tensormesh.dataset) (Mesh static method) gen_hollow_cube() (in module tensormesh.dataset) (Mesh static method) gen_hollow_rectangle() (in module tensormesh.dataset) (Mesh static method) gen_hollow_sphere() (in module tensormesh.dataset) (Mesh static method) gen_L() (in module tensormesh.dataset) (Mesh static method) gen_rectangle() (in module tensormesh.dataset) (Mesh static method) gen_sphere() (in module tensormesh.dataset) (Mesh static method) get_basis() (Element class method) get_basis_fns() (Element class method) get_basis_grad_fns() (Element class method) get_contour() (Element class method) get_edge() (Element class method)

get_exp_terms() (Polynomial method) (Polynomials method) get_facet() (Element class method) get_facet_quadrature() (Element class method) get_facet_type() (Element class method) get_gmsh_permutation() (Element class method) get_local_facet_mapping_fns() (Element class method) get_local_facet_mapping_grad_fns() (Element class method) get_n_basis() (Element class method) get_n_facet() (Element class method) get_outwards_facet_normal() (Element class method) get_polynomial() (Element class method) get_quad_mask() (Element class method) get_quadrature() (Element class method) get_stats() (OCOptimizer method) get_tri_mask() (Element class method) get_volume() (OCOptimizer method) grab_frame() (StreamPlotter method) grad (SparseMatrix property) grad() (Polynomial method) (Polynomials method) gradphi (Transformation property) graph_coloring() (in module tensormesh.mesh) graph_partition() (in module tensormesh.mesh) grid() (in module tensormesh.visualization.utils) GxW (Transformation property)

H

H (IsotropicMaterial attribute) half() (SparseMatrix method) has_same_layout() (SparseMatrix method)

HeatMultiFrequency (class in tensormesh.dataset) Hexahedron (class in tensormesh) history (J2Plasticity attribute)

I

ImplicitLinearEuler (class in tensormesh.ode) ImplicitLinearRungeKutta (class in tensormesh.ode) initial_condition() (HeatMultiFrequency method) (WaveMultiFrequency method) insert() (BufferList method) is_compiled (NodeAssembler property) is_complex() (BufferDict method) (BufferList method)

is_cupy_available (in module tensormesh.sparse) is_floating_point() (BufferDict method) (BufferList method) is_mix_facet (Element attribute) is_petsc_available (in module tensormesh.sparse) isotropic_stress() (in module tensormesh.functional.elasticity) IsotropicMaterial (class in tensormesh.material) item() (BufferList method) items() (BufferDict method)

J

J (Transformation property) J2Plasticity (class in tensormesh.assemble)

jacobian (Transformation property) JxW (Transformation property)

K

K_ou2in (Condenser attribute)

keys() (BufferDict method)

L

lame_params (IsotropicMaterial property) LaplaceElementAssembler (class in tensormesh) layout_hash (Condenser attribute) (SparseMatrix attribute)

layout_mask (SparseMatrix property) lin_exp() (Polynomial class method) Line (class in tensormesh) LinearElasticityElementAssembler (class in tensormesh)

M

map() (Polynomials method) map_exp_terms() (Polynomials method) MassElementAssembler (class in tensormesh) Mesh (class in tensormesh) mesh_to_pyvista() (in module tensormesh.visualization.utils) MeshGen (class in tensormesh) MidPointLinearEuler (class in tensormesh.ode) module tensormesh.assemble tensormesh.dataset tensormesh.distributed tensormesh.element tensormesh.functional tensormesh.functional.elasticity tensormesh.functional.ops tensormesh.functional.plastic tensormesh.material tensormesh.mesh tensormesh.nn tensormesh.ode tensormesh.operator tensormesh.optimizer tensormesh.sparse tensormesh.visualization tensormesh.visualization.animation tensormesh.visualization.draw_element_value tensormesh.visualization.draw_facet tensormesh.visualization.draw_graph tensormesh.visualization.draw_mesh tensormesh.visualization.draw_point_value tensormesh.visualization.pyvista tensormesh.visualization.static_plot tensormesh.visualization.stream_plotter tensormesh.visualization.utils

N

n (Transformation property) n_basis (Transformation property) n_cell (Element attribute) n_edge (Element attribute) n_elements (Mesh property) (Transformation property) n_face (Element attribute) n_points (ElementAssembler attribute) (FacetAssembler attribute) (Mesh property) (NodeAssembler attribute) n_polys (Polynomials attribute) n_quadrature (Transformation property)

n_terms (Polynomial attribute) (Polynomials attribute) n_vars (Polynomial attribute) (Polynomials attribute) n_vertex (Element attribute) name (IsotropicMaterial attribute) nanson_scale (Transformation property) ndim (Polynomials property) NeoHookeanModel (class in tensormesh.assemble) node_adjacency() (Mesh method) NodeAssembler (class in tensormesh) nonlinear_solve() (in module tensormesh.sparse) nu (IsotropicMaterial attribute) numel() (Polynomials method)

O

OCOptimizer (class in tensormesh.optimizer)

P

partition() (Mesh method) phi (Transformation property) plot() (Mesh method) plot_deformation() (in module tensormesh.visualization.static_plot) plot_value() (in module tensormesh.visualization.pyvista) point_data (Mesh attribute) points (Element attribute) (Mesh attribute) (Transformation attribute) PoissonMultiFrequency (class in tensormesh.dataset) poly_exp() (Polynomial class method) Polynomial (class in tensormesh.element) Polynomials (class in tensormesh.element)

pop() (BufferList method) post_solve() (ImplicitLinearRungeKutta method) pre_solve_lhs() (ImplicitLinearRungeKutta method) pre_solve_rhs() (ImplicitLinearRungeKutta method) pri_exp() (Polynomial class method) Prism (class in tensormesh) Projector (class in tensormesh.assemble.projector) projector (ElementAssembler attribute) (FacetAssembler attribute) (NodeAssembler attribute) prolong() (Condenser method) pyr_exp() (Polynomial class method) Pyramid (class in tensormesh)

Q

quadrature (Transformation property)

quadrature_order (Transformation attribute) Quadrilateral (class in tensormesh)

R

random() (SparseMatrix static method) random_from_layout() (SparseMatrix static method) random_layout() (SparseMatrix static method) read() (Mesh class method) recover() (Condenser method) recover_stage() (ImplicitLinearRungeKutta method) register_element_data() (Mesh method) register_point_data() (Mesh method) remove_circle() (MeshGen method) remove_cube() (MeshGen method) remove_rectangle() (MeshGen method)

remove_sphere() (MeshGen method) reorder() (Element class method) repeat() (Polynomial method) (Polynomials method) reset_coef() (Polynomial method) (Polynomials method) reset_compile() (NodeAssembler method) reshape() (Polynomials method) restrict() (Condenser method) rho (IsotropicMaterial attribute) row (SparseMatrix property)

S

save() (Mesh method) setup_headless() (in module tensormesh.visualization.utils) shape (Polynomials attribute) shape_grad (Transformation property) shape_val (Transformation property) sigma_y (IsotropicMaterial attribute) skew() (in module tensormesh.functional.ops) solution() (HeatMultiFrequency method) (PoissonMultiFrequency method) (WaveMultiFrequency method) source_term() (PoissonMultiFrequency method)

SparseMatrix (class in tensormesh.sparse) SparseTensor (class in tensormesh.sparse) spmm() (in module tensormesh.sparse) spsolve() (in module tensormesh.sparse) sqrt() (in module tensormesh.functional.ops) stack() (Polynomials class method) step() (ExplicitRungeKutta method) (ImplicitLinearRungeKutta method) (OCOptimizer method) strain() (in module tensormesh.functional.elasticity) StreamPlotter (class in tensormesh.visualization.stream_plotter) sym() (in module tensormesh.functional.ops)

T

T (SparseMatrix property) tens_exp() (Polynomial class method) tensormesh.assemble module tensormesh.dataset module tensormesh.distributed module tensormesh.element module tensormesh.functional module tensormesh.functional.elasticity module tensormesh.functional.ops module tensormesh.functional.plastic module tensormesh.material module tensormesh.mesh module tensormesh.nn module tensormesh.ode module tensormesh.operator module tensormesh.optimizer module tensormesh.sparse module tensormesh.visualization module tensormesh.visualization.animation module

tensormesh.visualization.draw_element_value module tensormesh.visualization.draw_facet module tensormesh.visualization.draw_graph module tensormesh.visualization.draw_mesh module tensormesh.visualization.draw_point_value module tensormesh.visualization.pyvista module tensormesh.visualization.static_plot module tensormesh.visualization.stream_plotter module tensormesh.visualization.utils module Tetrahedron (class in tensormesh) to() (SparseMatrix method) to_dict() (BufferDict method) to_file() (Mesh method) to_list() (BufferList method) to_meshio() (Mesh method) to_scipy_coo() (SparseMatrix method) to_sparse_coo() (SparseMatrix method) Transformation (class in tensormesh) transformation (ElementAssembler attribute) (FacetAssembler attribute) (NodeAssembler attribute) transpose() (Polynomials method) (SparseMatrix method) Triangle (class in tensormesh) type() (ElementAssembler method) (FacetAssembler method) (NodeAssembler method)

U

update() (StreamPlotter method) update_dirichlet() (Condenser method) update_element_value() (in module tensormesh.visualization.draw_element_value) update_element_value_2d() (in module tensormesh.visualization.draw_element_value) update_element_value_2d_tri() (in module tensormesh.visualization.draw_element_value) update_element_value_3d() (in module tensormesh.visualization.draw_element_value) update_plastic_stress() (in module tensormesh.functional.plastic)

update_point_value() (in module tensormesh.visualization.draw_point_value) update_point_value_2d() (in module tensormesh.visualization.draw_point_value) update_point_value_2d_interpolation() (in module tensormesh.visualization.draw_point_value) update_point_value_2d_tri_gouraud() (in module tensormesh.visualization.draw_point_value) update_point_value_3d_interpolation() (in module tensormesh.visualization.draw_point_value) update_points() (Transformation method) update_state() (J2Plasticity method)

V

values() (BufferDict method) vertex (Element attribute)

voigt_shape_grad() (in module tensormesh.functional.elasticity) voigt_shape_val() (in module tensormesh.functional.elasticity) voigt_stiffness() (in module tensormesh.functional.elasticity)

W

WaveMultiFrequency (class in tensormesh.dataset)

Z

zero_grad() (OCOptimizer method)