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_wrapper module basix.variants module basix_sobolev_space (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement property) BasixElement (class in basix.ufl_wrapper) BDM (basix.ElementFamily attribute) bernstein (basix.LagrangeVariant attribute) (basix.PolynomialType attribute) block_shape (basix.ufl_wrapper.BlockedElement attribute) block_size (basix.ufl_wrapper.BlockedElement property) BlockedElement (class in basix.ufl_wrapper) bubble (basix.ElementFamily attribute)

C

cell_type (basix.finite_element.FiniteElement property) (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement 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) component (basix.ufl_wrapper.ComponentElement attribute)

ComponentElement (class in basix.ufl_wrapper) compute_interpolation_operator() (in module basix) contravariantPiola (basix.MapType attribute) convert_ufl_element() (in module basix.ufl_wrapper) covariantPiola (basix.MapType attribute) CR (basix.ElementFamily attribute) create_custom_element() (in module basix) create_element() (in module basix) (in module basix.ufl_wrapper) create_lattice() (in module basix) create_tensor_element() (in module basix.ufl_wrapper) create_vector_element() (in module basix.ufl_wrapper) custom (basix.ElementFamily attribute)

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) (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement property) dim() (in module basix.polynomials) discontinuous (basix.finite_element.FiniteElement property) (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement 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) (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement property) dpc_variant_to_string() (in module basix.variants) DPCVariant (class in basix) dual_matrix (basix.finite_element.FiniteElement property)

E

element (basix.ufl_wrapper.BasixElement attribute) (basix.ufl_wrapper.ComponentElement attribute) element_family (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement property) ElementFamily (class in basix) entity_closure_dofs (basix.finite_element.FiniteElement property) (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement property)

entity_dofs (basix.finite_element.FiniteElement property) (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement 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) family_name (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement property) FiniteElement (class in basix.finite_element)

G

gauss_jacobi (basix.QuadratureType attribute) geometry() (in module basix) get_component_element() (basix.ufl_wrapper.BasixElement method) (basix.ufl_wrapper.BlockedElement method) (basix.ufl_wrapper.ComponentElement method) (basix.ufl_wrapper.MixedElement method) get_tensor_product_representation() (basix.finite_element.FiniteElement method) (basix.ufl_wrapper.BasixElement method) (basix.ufl_wrapper.BlockedElement 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) has_tensor_product_factorisation() (basix.ufl_wrapper.BasixElement method) (basix.ufl_wrapper.BlockedElement method) 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) (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) highest_degree (basix.finite_element.FiniteElement property) (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement 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) (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement property)

intersection() (in module basix.sobolev_spaces) interval (basix.CellType attribute) is_custom_element (basix.ufl_wrapper.BasixElement property) isaac (basix.LatticeSimplexMethod attribute)

L

L2 (basix.SobolevSpace attribute) L2Piola (basix.MapType attribute) lagrange_variant (basix.finite_element.FiniteElement property) (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement 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) make_quadrature() (in module basix) map_type (basix.finite_element.FiniteElement property) (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement property) MapType (class in basix) MixedElement (class in basix.ufl_wrapper) module basix basix.cell basix.finite_element basix.lattice basix.numba_helpers basix.polynomials basix.quadrature basix.sobolev_spaces basix.ufl_wrapper 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.QuadratureType property) (basix.SobolevSpace property) none (basix.LatticeSimplexMethod attribute)

num_entity_closure_dofs (basix.finite_element.FiniteElement property) (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement property) num_entity_dofs (basix.finite_element.FiniteElement property) (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement property) num_global_support_dofs (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement property)

P

P (basix.ElementFamily attribute) point (basix.CellType attribute) points (basix.finite_element.FiniteElement property) PolynomialType (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

QuadratureType (class in basix)

quadrilateral (basix.CellType attribute)

R

reference_geometry (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement property) reference_topology (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement property)

reference_value_shape() (basix.ufl_wrapper.BlockedElement method) 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) 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_element (basix.ufl_wrapper.BlockedElement attribute) sub_elements() (basix.ufl_wrapper.BlockedElement method) (basix.ufl_wrapper.MixedElement method) sub_entity_connectivity() (in module basix.cell)

T

tabulate() (basix.finite_element.FiniteElement method) (basix.ufl_wrapper.BasixElement method) (basix.ufl_wrapper.BlockedElement method) (basix.ufl_wrapper.ComponentElement method) (basix.ufl_wrapper.MixedElement method) tabulate_polynomials() (in module basix)

TensorElement (class in basix.ufl_wrapper) 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

ufcx_element_type (basix.ufl_wrapper.BasixElement property) (basix.ufl_wrapper.BlockedElement property) (basix.ufl_wrapper.ComponentElement property) (basix.ufl_wrapper.MixedElement property)

ufl_sobolev_space_from_enum() (in module basix.ufl_wrapper) 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.QuadratureType property) (basix.SobolevSpace property)

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

W

warn() (in module basix.ufl_wrapper)

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

X

x (basix.finite_element.FiniteElement property)

xiao_gimbutas (basix.QuadratureType attribute)