Index

B

base_transformations() (basix.finite_element.FiniteElement method) (basix.interpolation.FiniteElement method) basix module basix.cell module basix.finite_element module basix.interpolation module basix.lattice module basix.maps module basix.numba_helpers module

basix.polynomials module basix.quadrature module basix.sobolev_spaces module basix.ufl module basix.utils module BDM (basix.ElementFamily attribute) bernstein (basix.LagrangeVariant attribute) (basix.PolynomialType attribute) blocked_element() (in module basix.ufl) bubble (basix.ElementFamily attribute)

C

cell_type (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) CellType (class in basix) centroid (basix.LatticeSimplexMethod attribute) chebyshev (basix.LatticeType attribute) chebyshev_centroid (basix.LagrangeVariant attribute) chebyshev_isaac (basix.LagrangeVariant attribute) chebyshev_warped (basix.LagrangeVariant attribute) coefficient_matrix (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) compute_interpolation_operator() (in module basix) (in module basix.interpolation)

contravariantPiola (basix.MapType attribute) covariantPiola (basix.MapType attribute) CR (basix.ElementFamily attribute) create_custom_element() (in module basix) (in module basix.finite_element) create_element() (in module basix) (in module basix.finite_element) create_lattice() (in module basix) create_tp_element() (in module basix) (in module basix.finite_element) custom (basix.ElementFamily attribute) custom_element() (in module basix.ufl)

D

Default (basix.QuadratureType attribute) degree (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) diagonal_equispaced (basix.DPCVariant attribute) diagonal_gll (basix.DPCVariant attribute) dim (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) dim() (in module basix.polynomials) discontinuous (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) dof_ordering (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) dof_transformations_are_identity (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property)

dof_transformations_are_permutations (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) doubleContravariantPiola (basix.MapType attribute) doubleCovariantPiola (basix.MapType attribute) DPC (basix.ElementFamily attribute) dpc_variant (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) DPCVariant (class in basix) dtype (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) dual_matrix (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property)

E

element() (in module basix.ufl) ElementFamily (class in basix) embedded_subdegree (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) embedded_superdegree (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) enriched_element() (in module basix.ufl) entity_closure_dofs (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property)

entity_dofs (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) entity_transformations() (basix.finite_element.FiniteElement method) (basix.interpolation.FiniteElement method) Enum (class in basix.utils) equispaced (basix.LagrangeVariant attribute) (basix.LatticeType attribute)

F

facet_jacobians() (in module basix.cell) facet_normals() (in module basix.cell) facet_orientations() (in module basix.cell) facet_outward_normals() (in module basix.cell)

facet_reference_volumes() (in module basix.cell) family (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) FiniteElement (class in basix.finite_element) (class in basix.interpolation)

G

gauss_jacobi (basix.QuadratureType attribute) geometry() (in module basix) get_tensor_product_representation() (basix.finite_element.FiniteElement method) (basix.interpolation.FiniteElement method) gl (basix.LatticeType attribute) gl_centroid (basix.LagrangeVariant attribute)

gl_isaac (basix.LagrangeVariant attribute) gl_warped (basix.LagrangeVariant attribute) gll (basix.LatticeType attribute) (basix.QuadratureType attribute) gll_centroid (basix.LagrangeVariant attribute) gll_isaac (basix.LagrangeVariant attribute) gll_warped (basix.LagrangeVariant attribute)

H

H1 (basix.SobolevSpace attribute) H2 (basix.SobolevSpace attribute) H3 (basix.SobolevSpace attribute) has_tensor_product_factorisation (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) HCurl (basix.SobolevSpace attribute) HDiv (basix.SobolevSpace attribute)

HDivDiv (basix.SobolevSpace attribute) HEin (basix.SobolevSpace attribute) Hermite (basix.ElementFamily attribute) hexahedron (basix.CellType attribute) HHJ (basix.ElementFamily attribute) HInf (basix.SobolevSpace attribute) horizontal_equispaced (basix.DPCVariant attribute) horizontal_gll (basix.DPCVariant attribute)

I

identity (basix.MapType attribute) index() (in module basix) interpolation_is_identity (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) interpolation_matrix (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property)

interpolation_nderivs (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) intersection() (in module basix.sobolev_spaces) interval (basix.CellType attribute) isaac (basix.LatticeSimplexMethod attribute) iso (basix.ElementFamily attribute)

L

L2 (basix.SobolevSpace attribute) L2Piola (basix.MapType attribute) lagrange_variant (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) LagrangeVariant (class in basix)

LatticeSimplexMethod (class in basix) LatticeType (class in basix) legendre (basix.DPCVariant attribute) (basix.LagrangeVariant attribute) (basix.PolynomialType attribute)

M

M (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) macroedge (basix.PolysetType attribute) make_quadrature() (in module basix) (in module basix.quadrature) map_type (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) MapType (class in basix) mixed_element() (in module basix.ufl) module basix basix.cell basix.finite_element basix.interpolation basix.lattice basix.maps basix.numba_helpers basix.polynomials basix.quadrature basix.sobolev_spaces basix.ufl basix.utils

N

N1E (basix.ElementFamily attribute) N2E (basix.ElementFamily attribute) none (basix.LatticeSimplexMethod attribute)

num_entity_closure_dofs (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) num_entity_dofs (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property)

P

P (basix.ElementFamily attribute) point (basix.CellType attribute) points (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) PolynomialType (class in basix) polyset_restriction() (in module basix) polyset_superset() (in module basix) polyset_type (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property)

PolysetType (class in basix) prism (basix.CellType attribute) pull_back() (basix.finite_element.FiniteElement method) (basix.interpolation.FiniteElement method) push_forward() (basix.finite_element.FiniteElement method) (basix.interpolation.FiniteElement method) pyramid (basix.CellType attribute)

Q

quadrature_element() (in module basix.ufl)

QuadratureType (class in basix) quadrilateral (basix.CellType attribute)

R

real_element() (in module basix.ufl) Regge (basix.ElementFamily attribute)

reshape_coefficients() (in module basix.polynomials) RT (basix.ElementFamily attribute)

S

serendipity (basix.ElementFamily attribute) simplex_equispaced (basix.DPCVariant attribute) simplex_gll (basix.DPCVariant attribute) sobolev_space (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) SobolevSpace (class in basix) standard (basix.PolysetType attribute) string_to_dpc_variant() (in module basix.finite_element)

string_to_family() (in module basix.finite_element) string_to_lagrange_variant() (in module basix.finite_element) string_to_simplex_method() (in module basix.lattice) string_to_sobolev_space() (in module basix.sobolev_spaces) string_to_type() (in module basix.cell) (in module basix.lattice) (in module basix.maps) (in module basix.quadrature) sub_entity_connectivity() (in module basix.cell)

T

T_apply() (basix.finite_element.FiniteElement method) (basix.interpolation.FiniteElement method) (in module basix.numba_helpers) T_apply_hexahedron() (in module basix.numba_helpers) T_apply_interval() (in module basix.numba_helpers) T_apply_prism() (in module basix.numba_helpers) T_apply_pyramid() (in module basix.numba_helpers) T_apply_quadrilateral() (in module basix.numba_helpers) T_apply_tetrahedron() (in module basix.numba_helpers) T_apply_triangle() (in module basix.numba_helpers) tabulate() (basix.finite_element.FiniteElement method) (basix.interpolation.FiniteElement method) tabulate_polynomial_set() (in module basix.polynomials) tabulate_polynomials() (in module basix) tetrahedron (basix.CellType attribute)

topology() (in module basix) tp_dof_ordering() (in module basix.finite_element) tp_factors() (in module basix.finite_element) triangle (basix.CellType attribute) Tt_apply_right() (basix.finite_element.FiniteElement method) (basix.interpolation.FiniteElement method) (in module basix.numba_helpers) Tt_apply_right_hexahedron() (in module basix.numba_helpers) Tt_apply_right_interval() (in module basix.numba_helpers) Tt_apply_right_prism() (in module basix.numba_helpers) Tt_apply_right_pyramid() (in module basix.numba_helpers) Tt_apply_right_quadrilateral() (in module basix.numba_helpers) Tt_apply_right_tetrahedron() (in module basix.numba_helpers) Tt_apply_right_triangle() (in module basix.numba_helpers) Tt_inv_apply() (basix.finite_element.FiniteElement method) (basix.interpolation.FiniteElement method)

U

unset (basix.DPCVariant attribute) (basix.LagrangeVariant attribute)

V

value_shape (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property)

value_size (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property) volume() (in module basix.cell)

W

warp (basix.LatticeSimplexMethod attribute) wcoeffs (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property)

wrap_element() (in module basix.ufl)

X

x (basix.finite_element.FiniteElement property) (basix.interpolation.FiniteElement property)

xiao_gimbutas (basix.QuadratureType attribute)