Index

A

abs() (in module dctkit.dec.cochain) add() (in module dctkit.dec.cochain)

arccos() (in module dctkit.dec.cochain) arcsin() (in module dctkit.dec.cochain)

B

boundary (dctkit.mesh.simplex.SimplicialComplex attribute)

build_complex_from_mesh() (in module dctkit.mesh.util)

C

circ (dctkit.mesh.simplex.SimplicialComplex attribute) circumcenter() (in module dctkit.mesh.circumcenter) coboundary() (in module dctkit.dec.cochain) coboundary_closure() (in module dctkit.experimental.coboundary_closure) Cochain (class in dctkit.dec.cochain) cochain_mul() (in module dctkit.dec.cochain) CochainD (class in dctkit.dec.cochain) CochainD0 (class in dctkit.dec.cochain) CochainD0T (class in dctkit.dec.cochain) CochainD0V (class in dctkit.dec.cochain) CochainD1 (class in dctkit.dec.cochain) CochainD1T (class in dctkit.dec.cochain) CochainD1V (class in dctkit.dec.cochain) CochainD2 (class in dctkit.dec.cochain) CochainD2T (class in dctkit.dec.cochain) CochainD2V (class in dctkit.dec.cochain) CochainD3 (class in dctkit.dec.cochain) CochainD3T (class in dctkit.dec.cochain) CochainD3V (class in dctkit.dec.cochain) CochainP (class in dctkit.dec.cochain)

CochainP0 (class in dctkit.dec.cochain) CochainP0T (class in dctkit.dec.cochain) CochainP0V (class in dctkit.dec.cochain) CochainP1 (class in dctkit.dec.cochain) CochainP1T (class in dctkit.dec.cochain) CochainP1V (class in dctkit.dec.cochain) CochainP2 (class in dctkit.dec.cochain) CochainP2T (class in dctkit.dec.cochain) CochainP2V (class in dctkit.dec.cochain) CochainP3 (class in dctkit.dec.cochain) CochainP3T (class in dctkit.dec.cochain) CochainP3V (class in dctkit.dec.cochain) codifferential() (in module dctkit.dec.cochain) compute_boundary_COO() (in module dctkit.mesh.simplex) compute_cup_product_entry() (dctkit.mesh.simplex.SimplicialComplex method) compute_permutation_vectors() (in module dctkit.math.permutation) compute_simplices_faces() (in module dctkit.mesh.simplex) config() (in module dctkit) convolution() (in module dctkit.dec.cochain) cos() (in module dctkit.dec.cochain) cpu (dctkit.Platform attribute)

D

dctkit module dctkit.dec module dctkit.dec.cochain module dctkit.dec.flat module dctkit.dec.wedge module dctkit.experimental module dctkit.experimental.coboundary_closure module dctkit.math module dctkit.math.opt module dctkit.math.permutation module dctkit.math.shifted_list module

dctkit.math.spmm module dctkit.mesh module dctkit.mesh.circumcenter module dctkit.mesh.simplex module dctkit.mesh.util module dctkit.mesh.volume module dctkit.physics module dctkit.physics.elastica module dctkit.physics.elasticity module dctkit.physics.poisson module dim (dctkit.mesh.simplex.SimplicialComplex attribute) dual_volumes (dctkit.mesh.simplex.SimplicialComplex attribute)

E

Elastica (class in dctkit.physics.elastica) elasticity_energy() (dctkit.physics.elasticity.LinearElasticity method)

energy() (dctkit.physics.elastica.Elastica method) energy_poisson() (in module dctkit.physics.poisson) exp() (in module dctkit.dec.cochain)

F

find_simplex_idx() (dctkit.mesh.simplex.SimplicialComplex method) flat() (in module dctkit.dec.flat) flat_DPD() (in module dctkit.dec.flat) flat_DPP() (in module dctkit.dec.flat) flat_dual_upw() (in module dctkit.dec.flat)

flat_PDP() (in module dctkit.dec.flat) float32 (dctkit.FloatDtype attribute) float64 (dctkit.FloatDtype attribute) FloatDtype (class in dctkit) force_balance_residual_dual() (dctkit.physics.elasticity.LinearElasticity method) force_balance_residual_primal() (dctkit.physics.elasticity.LinearElasticity method)

G

generate_cube_mesh() (in module dctkit.mesh.util) generate_hexagon_mesh() (in module dctkit.mesh.util) generate_line_mesh() (in module dctkit.mesh.util) generate_square_mesh() (in module dctkit.mesh.util) generate_tet_mesh() (in module dctkit.mesh.util) get_boundary_operators() (dctkit.mesh.simplex.SimplicialComplex method) get_circumcenters() (dctkit.mesh.simplex.SimplicialComplex method) get_cofaces() (in module dctkit.mesh.simplex) get_complex_boundary_simplices_indices() (dctkit.mesh.simplex.SimplicialComplex method) get_cup_product_coeffs() (dctkit.mesh.simplex.SimplicialComplex method) get_current_covariant_basis() (dctkit.mesh.simplex.SimplicialComplex method) get_current_metric_2D() (dctkit.mesh.simplex.SimplicialComplex method) get_deformation_gradient() (dctkit.mesh.simplex.SimplicialComplex method) get_dual_balance() (dctkit.physics.elasticity.LinearElasticity method) get_dual_edge_vectors() (dctkit.mesh.simplex.SimplicialComplex method) get_dual_volumes() (dctkit.mesh.simplex.SimplicialComplex method) get_edges_for_physical_group() (in module dctkit.mesh.util)

get_elastica_mesh() (dctkit.physics.elastica.Elastica method) get_flat_DPD_weights() (dctkit.mesh.simplex.SimplicialComplex method) get_flat_DPP_weights() (dctkit.mesh.simplex.SimplicialComplex method) get_flat_dual_upw_weights() (dctkit.mesh.simplex.SimplicialComplex method) get_flat_PDP_weights() (dctkit.mesh.simplex.SimplicialComplex method) get_GreenLagrange_strain() (dctkit.physics.elasticity.LinearElasticity method) get_hodge_star() (dctkit.mesh.simplex.SimplicialComplex method) get_infinitesimal_strain() (dctkit.physics.elasticity.LinearElasticity method) get_nodes_for_physical_group() (in module dctkit.mesh.util) get_penalty_displacement_bc() (dctkit.physics.elasticity.LinearElasticity method) get_primal_edge_vectors() (dctkit.mesh.simplex.SimplicialComplex method) get_primal_volumes() (dctkit.mesh.simplex.SimplicialComplex method) get_S_dual() (dctkit.mesh.simplex.SimplicialComplex method) get_stress() (dctkit.physics.elasticity.LinearElasticity method) get_tets_containing_a_boundary_face() (dctkit.mesh.simplex.SimplicialComplex method) gpu (dctkit.Platform attribute) grad_energy_poisson() (in module dctkit.physics.poisson) grad_obj_poisson() (in module dctkit.physics.poisson)

H

hodge_star (dctkit.mesh.simplex.SimplicialComplex attribute)

I

identity() (in module dctkit.dec.cochain) init() (in module dctkit.dec.cochain) inner() (in module dctkit.dec.cochain)

int32 (dctkit.IntDtype attribute) int64 (dctkit.IntDtype attribute) IntDtype (class in dctkit)

L

laplacian() (in module dctkit.dec.cochain)

LinearElasticity (class in dctkit.physics.elasticity) log() (in module dctkit.dec.cochain)

M

maximum() (in module dctkit.dec.cochain) module dctkit dctkit.dec dctkit.dec.cochain dctkit.dec.flat dctkit.dec.wedge dctkit.experimental dctkit.experimental.coboundary_closure dctkit.math dctkit.math.opt dctkit.math.permutation dctkit.math.shifted_list dctkit.math.spmm dctkit.mesh dctkit.mesh.circumcenter dctkit.mesh.simplex dctkit.mesh.util dctkit.mesh.volume dctkit.physics dctkit.physics.elastica dctkit.physics.elasticity dctkit.physics.poisson

N

node_coords (dctkit.mesh.simplex.SimplicialComplex attribute)

O

obj_linear_elasticity_dual() (dctkit.physics.elasticity.LinearElasticity method) obj_linear_elasticity_energy() (dctkit.physics.elasticity.LinearElasticity method)

obj_linear_elasticity_primal() (dctkit.physics.elasticity.LinearElasticity method) obj_poisson() (in module dctkit.physics.poisson) obj_stiffness() (dctkit.physics.elastica.Elastica method)

P

permutation_sign() (in module dctkit.math.permutation) Platform (class in dctkit)

poisson_residual() (in module dctkit.physics.poisson) primal_volumes (dctkit.mesh.simplex.SimplicialComplex attribute)

R

rank (class in dctkit.dec.cochain)

S

S (dctkit.mesh.simplex.SimplicialComplex attribute) SCALAR (dctkit.dec.cochain.rank attribute) scalar_mul() (in module dctkit.dec.cochain) set_boundary_tractions() (dctkit.physics.elasticity.LinearElasticity method) set_displacement_bc() (dctkit.physics.elasticity.LinearElasticity method) ShiftedList (class in dctkit.math.shifted_list) signed_volume() (in module dctkit.mesh.volume) simplices_faces (dctkit.mesh.simplex.SimplicialComplex attribute)

SimplicialComplex (class in dctkit.mesh.simplex) sin() (in module dctkit.dec.cochain) spmm() (in module dctkit.math.spmm) sqrt() (in module dctkit.dec.cochain) square() (in module dctkit.dec.cochain) star() (in module dctkit.dec.cochain) sub() (in module dctkit.dec.cochain) sym() (in module dctkit.dec.cochain)

T

TENSOR (dctkit.dec.cochain.rank attribute)

trace() (in module dctkit.dec.cochain) transpose() (in module dctkit.dec.cochain)

U

unsigned_volume() (in module dctkit.mesh.volume)

V

VECTOR (dctkit.dec.cochain.rank attribute)

W

wedge() (in module dctkit.dec.wedge)