Index

A

apply_dof_transformation() (basix.finite_element.FiniteElement method) (in module basix.numba_helpers) apply_dof_transformation_hexahedron() (in module basix.numba_helpers) apply_dof_transformation_interval() (in module basix.numba_helpers) apply_dof_transformation_prism() (in module basix.numba_helpers) apply_dof_transformation_pyramid() (in module basix.numba_helpers) apply_dof_transformation_quadrilateral() (in module basix.numba_helpers) apply_dof_transformation_tetrahedron() (in module basix.numba_helpers) apply_dof_transformation_to_transpose() (basix.finite_element.FiniteElement method) (in module basix.numba_helpers)

apply_dof_transformation_to_transpose_hexahedron() (in module basix.numba_helpers) apply_dof_transformation_to_transpose_interval() (in module basix.numba_helpers) apply_dof_transformation_to_transpose_prism() (in module basix.numba_helpers) apply_dof_transformation_to_transpose_pyramid() (in module basix.numba_helpers) apply_dof_transformation_to_transpose_quadrilateral() (in module basix.numba_helpers) apply_dof_transformation_to_transpose_tetrahedron() (in module basix.numba_helpers) apply_dof_transformation_to_transpose_triangle() (in module basix.numba_helpers) apply_dof_transformation_triangle() (in module basix.numba_helpers) apply_inverse_transpose_dof_transformation() (basix.finite_element.FiniteElement method)

B

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

basix.quadrature module basix.sobolev_spaces module basix.ufl module basix.variants 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) 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) compute_interpolation_operator() (in module basix)

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

D

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

dof_transformations_are_identity (basix.finite_element.FiniteElement property) dof_transformations_are_permutations (basix.finite_element.FiniteElement property) doubleContravariantPiola (basix.MapType attribute) doubleCovariantPiola (basix.MapType attribute) DPC (basix.ElementFamily attribute) dpc_variant (basix.finite_element.FiniteElement property) dpc_variant_to_string() (in module basix.variants) DPCVariant (class in basix) dual_matrix (basix.finite_element.FiniteElement property)

E

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

entity_dofs (basix.finite_element.FiniteElement property) entity_transformations() (basix.finite_element.FiniteElement method) 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) FiniteElement (class in basix.finite_element)

G

gauss_jacobi (basix.QuadratureType attribute) geometry() (in module basix) get_tensor_product_representation() (basix.finite_element.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) 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) highest_complete_degree (basix.finite_element.FiniteElement property) highest_degree (basix.finite_element.FiniteElement property) 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) interpolation_matrix (basix.finite_element.FiniteElement property)

interpolation_nderivs (basix.finite_element.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) lagrange_variant_to_string() (in module basix.variants) 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) macroedge (basix.PolysetType attribute) make_quadrature() (in module basix) (in module basix.quadrature) map_type (basix.finite_element.FiniteElement property) MapType (class in basix) mixed_element() (in module basix.ufl) module basix basix.cell basix.finite_element basix.lattice basix.numba_helpers basix.polynomials basix.quadrature basix.sobolev_spaces basix.ufl basix.variants

N

N1E (basix.ElementFamily attribute) N2E (basix.ElementFamily attribute) name (basix.CellType property) (basix.DPCVariant property) (basix.ElementFamily property) (basix.LagrangeVariant property) (basix.LatticeSimplexMethod property) (basix.LatticeType property) (basix.MapType property) (basix.PolynomialType property) (basix.PolysetType property) (basix.QuadratureType property) (basix.SobolevSpace property)

none (basix.LatticeSimplexMethod attribute) num_entity_closure_dofs (basix.finite_element.FiniteElement property) num_entity_dofs (basix.finite_element.FiniteElement property)

P

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

polyset_type (basix.finite_element.FiniteElement property) PolysetType (class in basix) prism (basix.CellType attribute) pull_back() (basix.finite_element.FiniteElement method) push_forward() (basix.finite_element.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) simplex_method_to_string() (in module basix.lattice) sobolev_space (basix.finite_element.FiniteElement property) SobolevSpace (class in basix) standard (basix.PolysetType attribute)

string_to_dpc_variant() (in module basix.variants) string_to_family() (in module basix.finite_element) string_to_lagrange_variant() (in module basix.variants) string_to_simplex_method() (in module basix.lattice) string_to_type() (in module basix.cell) (in module basix.lattice) (in module basix.quadrature) sub_entity_connectivity() (in module basix.cell)

T

tabulate() (basix.finite_element.FiniteElement method) tabulate_polynomials() (in module basix) tetrahedron (basix.CellType attribute) topology() (in module basix)

triangle (basix.CellType attribute) type_to_string() (in module basix.cell) (in module basix.lattice) (in module basix.quadrature)

U

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

V

value (basix.CellType property) (basix.DPCVariant property) (basix.ElementFamily property) (basix.LagrangeVariant property) (basix.LatticeSimplexMethod property) (basix.LatticeType property) (basix.MapType property) (basix.PolynomialType property) (basix.PolysetType property) (basix.QuadratureType property) (basix.SobolevSpace property)

value_shape (basix.finite_element.FiniteElement property) value_size (basix.finite_element.FiniteElement property) volume() (in module basix.cell) vtk (basix.LagrangeVariant attribute)

W

warp (basix.LatticeSimplexMethod attribute)

wcoeffs (basix.finite_element.FiniteElement property)

X

x (basix.finite_element.FiniteElement property)

xiao_gimbutas (basix.QuadratureType attribute)