#include <crouzeix_raviart.h>

Inheritance diagram for ug::CrouzeixRaviartLSFS< ReferencePrism >:

Public Member Functions
void	grad (MathVector< dim > &g, const size_t i, const MathVector< dim > &x) const
	evaluates the gradient of the shape function More...

bool	position (size_t i, MathVector< dim > &pos) const
	local position of DoF i More...

number	shape (const size_t i, const MathVector< dim > &x) const
	evaluates the shape function More...

Public Member Functions inherited from ug::CrouzeixRaviartBase< ReferencePrism >
bool	continuous () const
	returns if space constructs continuous functions More...

	CrouzeixRaviartBase ()
	constructor More...

bool	exact_position_available () const
	returns if the local dof position are exact More...

const LocalDoF &	local_dof (size_t dof) const
	returns the dof storage More...

size_t	num_dof () const
	returns the total number of DoFs on the finite element More...

size_t	num_dof (ReferenceObjectID type) const
	returns the number of DoFs on a sub-geometric object type More...

size_t	num_sh () const

ReferenceObjectID	roid () const
	returns the type of reference element More...

Public Member Functions inherited from ug::BaseLSFS< CrouzeixRaviartLSFS< ReferencePrism >, 3 >
void	grad (grad_type &g, size_t i, const MathVector< dim > &x) const
	evaluates the gradient of the shape function More...

void	grads (grad_type *vGrad, const MathVector< dim > &x) const
	returns all gradients evaluated at a point More...

void	grads (std::vector< grad_type > &vGrad, const MathVector< dim > &x) const
	returns all gradients evaluated at a point More...

void	grads (std::vector< std::vector< grad_type > > &vvGrad, const std::vector< MathVector< dim > > &vLocPos) const
	returns all gradients evaluated at a point More...

void	shape (shape_type &sh, size_t i, const MathVector< dim > &x) const
	evaluates the shape function More...

shape_type	shape (size_t i, const MathVector< dim > &x) const
	evaluates the shape function More...

void	shapes (shape_type *vShape, const MathVector< dim > &x) const
	returns all shape functions evaluated at a point More...

void	shapes (std::vector< shape_type > &vShape, const MathVector< dim > &x) const
	returns all shape functions evaluated at a point More...

void	shapes (std::vector< std::vector< shape_type > > &vvShape, const std::vector< MathVector< dim > > &vLocPos) const
	returns all shape functions evaluated at a point More...

Static Public Attributes
static const int	dim = 3
	Dimension, where shape functions are defined. More...

Static Public Attributes inherited from ug::CrouzeixRaviartBase< ReferencePrism >
static const int	dim
	dimension of reference element More...

static const size_t	nsh
	Number of shape functions. More...

Static Public Attributes inherited from ug::BaseLSFS< CrouzeixRaviartLSFS< ReferencePrism >, 3 >
static const int	dim
	dimension of reference element More...

Additional Inherited Members
Public Types inherited from ug::BaseLSFS< CrouzeixRaviartLSFS< ReferencePrism >, 3 >
typedef MathVector< TDim >	grad_type
	Gradient type. More...

typedef CrouzeixRaviartLSFS< ReferencePrism >	ImplType
	type of implementation More...

typedef number	shape_type
	Shape type. More...

Protected Member Functions inherited from ug::BaseLSFS< CrouzeixRaviartLSFS< ReferencePrism >, 3 >
ImplType &	getImpl ()
	access to implementation More...

const ImplType &	getImpl () const
	const access to implementation More...

Protected Attributes inherited from ug::CrouzeixRaviartBase< ReferencePrism >
LocalDoF	m_vLocalDoF [nsh]
	association to elements More...

Member Function Documentation

◆ grad()

void ug::CrouzeixRaviartLSFS< ReferencePrism >::grad	(	MathVector< dim > &	g,
		const size_t	i,
		const MathVector< dim > &	x
	)		const

inline

evaluates the gradient of the shape function

This function returns the gradient of Shape Function i at an element-local evaluation point.

Parameters

[in]	i	number of DoF
[in]	x	Position on reference element (evaluation point)

Returns: gradient at point

References UG_THROW.

◆ position()

bool ug::CrouzeixRaviartLSFS< ReferencePrism >::position	(	size_t	i,
		MathVector< dim > &	pos
	)		const

inline

local position of DoF i

This function returns the local position of a DoF if possible.

Parameters

[in]	i	number of DoF
[out]	pos	Position of DoF

Return values

true	if position exists
false	if no meaningful position available

References UG_THROW.

◆ shape()

number ug::CrouzeixRaviartLSFS< ReferencePrism >::shape	(	const size_t	i,
		const MathVector< dim > &	x
	)		const

inline

evaluates the shape function

This function returns the value of Shape Function i at an element-local evaluation point.

Parameters

[in]	i	number of DoF
[in]	x	Position on reference element (evaluation point)

Returns: shape function value at point

References UG_THROW.

Member Data Documentation

◆ dim

const int ug::CrouzeixRaviartLSFS< ReferencePrism >::dim = 3

static

Dimension, where shape functions are defined.

The documentation for this class was generated from the following file:

ugbase/lib_disc/local_finite_element/crouzeix-raviart/crouzeix_raviart.h

Public Member Functions

Static Public Attributes

Additional Inherited Members

Member Function Documentation

◆ grad()

◆ position()

◆ shape()

Member Data Documentation

◆ dim