basix::maps Namespace Reference

Information about finite element maps. More...

Enumerations
enum class	type {   identity = 0 , L2Piola = 1 , covariantPiola = 2 , contravariantPiola = 3 ,   doubleCovariantPiola = 4 , doubleContravariantPiola = 5 }
	Map type.

Functions
template<typename O , typename P , typename Q , typename R >
void	l2_piola (O &&r, const P &U, const Q &, double detJ, const R &)
	L2 Piola map.
template<typename O , typename P , typename Q , typename R >
void	covariant_piola (O &&r, const P &U, const Q &, double, const R &K)
	Covariant Piola map.
template<typename O , typename P , typename Q , typename R >
void	contravariant_piola (O &&r, const P &U, const Q &J, double detJ, const R &)
	Contravariant Piola map.
template<typename O , typename P , typename Q , typename R >
void	double_covariant_piola (O &&r, const P &U, const Q &, double, const R &K)
	Double covariant Piola map.
template<typename O , typename P , typename Q , typename R >
void	double_contravariant_piola (O &&r, const P &U, const Q &J, double detJ, const R &)
	Double contravariant Piola map.

Detailed Description

Information about finite element maps.

Function Documentation

l2_piola()

template<typename O , typename P , typename Q , typename R >

void basix::maps::l2_piola	(	O &&	r,
		const P &	U,
		const Q &	,
		double	detJ,
		const R &
	)

L2 Piola map.

This map does not use the Jacobian or its inverse.

Parameters

[out]	r	The mapped (physical-cell) values.
[in]	U	The reference-cell values to map.
[in]	detJ	Determinant of the Jacobian of the map.

covariant_piola()

template<typename O , typename P , typename Q , typename R >

void basix::maps::covariant_piola	(	O &&	r,
		const P &	U,
		const Q &	,
		double	,
		const R &	K
	)

Covariant Piola map.

This map does not use the Jacobian or its determinant.

Parameters

[out]	r	The mapped (physical-cell) values.
[in]	U	The reference-cell values to map.
[in]	K	Inverse of the Jacobian of the map.

contravariant_piola()

template<typename O , typename P , typename Q , typename R >

void basix::maps::contravariant_piola	(	O &&	r,
		const P &	U,
		const Q &	J,
		double	detJ,
		const R &
	)

Contravariant Piola map.

This map does not use the inverse of the Jacobian.

Parameters

[out]	r	The mapped (physical-cell) values.
[in]	U	The reference-cell values to map.
[in]	J	Jacobian of the map.
[in]	detJ	Determinant of the Jacobian of the map.

double_covariant_piola()

template<typename O , typename P , typename Q , typename R >

void basix::maps::double_covariant_piola	(	O &&	r,
		const P &	U,
		const Q &	,
		double	,
		const R &	K
	)

Double covariant Piola map.

This map does not use the Jacobian or its determinant.

Parameters

[out]	r	The mapped (physical-cell) values.
[in]	U	The reference-cell values to map.
[in]	K	Inverse of the Jacobian of the map.

double_contravariant_piola()

template<typename O , typename P , typename Q , typename R >

void basix::maps::double_contravariant_piola	(	O &&	r,
		const P &	U,
		const Q &	J,
		double	detJ,
		const R &
	)

Double contravariant Piola map.

This map does not use the inverse of the Jacobian.

Parameters

[out]	r	The mapped (physical-cell) values.
[in]	U	The reference-cell values to map.
[in]	J	Jacobian of the map.
[in]	detJ	Determinant of the Jacobian of the map.