basix::doftransforms Namespace Reference

Functions to compute the DOF transformations (rotations and reflections of entity DOFs) needed by a finite element under a change of entity orientation. More...

Functions
template<std::floating_point T>
std::map< cell::type, std::pair< std::vector< T >, std::array< std::size_t, 3 > > >	compute_entity_transformations (cell::type cell_type, std::array< std::vector< md::mdspan< const T, md::dextents< std::size_t, 2 > > >, 4 > x, std::array< std::vector< md::mdspan< const T, md::dextents< std::size_t, 4 > > >, 4 > M, md::mdspan< const T, md::dextents< std::size_t, 2 > > coeffs, int degree, std::size_t vs, maps::type map_type, polyset::type ptype)
	Compute the entity DOF transformations for an element.

Detailed Description

Functions to compute the DOF transformations (rotations and reflections of entity DOFs) needed by a finite element under a change of entity orientation.

Function Documentation

compute_entity_transformations()

template<std::floating_point T>

std::map< cell::type, std::pair< std::vector< T >, std::array< std::size_t, 3 > > > basix::doftransforms::compute_entity_transformations	(	cell::type	cell_type,
		std::array< std::vector< md::mdspan< const T, md::dextents< std::size_t, 2 > > >, 4 >	x,
		std::array< std::vector< md::mdspan< const T, md::dextents< std::size_t, 4 > > >, 4 >	M,
		md::mdspan< const T, md::dextents< std::size_t, 2 > >	coeffs,
		int	degree,
		std::size_t	vs,
		maps::type	map_type,
		polyset::type	ptype
	)

Compute the entity DOF transformations for an element.

Parameters

[in]	cell_type	The cell type
[in]	x	Interpolation points for the element. Indices are (tdim, entity index, point index, dim)
[in]	M	Interpolation matrix for the element. Indices are (tdim, entity index, dof, vs, point_index, derivative)
[in]	coeffs	The coefficients that define the basis functions of the element in terms of the orthonormal basis. Shape is (number of basis functions of the element, dim(Legendre polynomials))
[in]	degree	The embedded superdegree of the element (the lowest degree n such that the element's polynomial set is a subspace of a Lagrange element of degree n)
[in]	vs	The value size of the element
[in]	map_type	The map type used by the element
[in]	ptype	The polyset type used by the element

Returns

Entity transformations. For each cell, the shape is (ntransformation, ndofs, ndofs)