static interface for trial spaces More...

#include <local_shape_function_set.h>

Public Types
typedef TGrad	grad_type
	Gradient type.

typedef TImpl	ImplType
	type of implementation

typedef TShape	shape_type
	Shape type.

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

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

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

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

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

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

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

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

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

Static Public Attributes
static const int	dim = TDim
	dimension of reference element

Protected Member Functions
ImplType &	getImpl ()
	access to implementation

const ImplType &	getImpl () const
	const access to implementation

Detailed Description

template<typename TImpl, int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>
class ug::BaseLSFS< TImpl, TDim, TShape, TGrad >

static interface for trial spaces

Member Typedef Documentation

◆ grad_type

template<typename TImpl , int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>

typedef TGrad ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::grad_type

Gradient type.

◆ ImplType

template<typename TImpl , int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>

typedef TImpl ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::ImplType

type of implementation

◆ shape_type

template<typename TImpl , int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>

typedef TShape ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shape_type

Shape type.

Member Function Documentation

◆ getImpl() [1/2]

template<typename TImpl , int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>

ImplType & ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::getImpl ( )

inlineprotected

access to implementation

Referenced by ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::grad(), ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::grads(), ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::grads(), ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shape(), ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shapes(), and ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shapes().

◆ getImpl() [2/2]

template<typename TImpl , int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>

const ImplType & ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::getImpl ( ) const

inlineprotected

const access to implementation

◆ grad()

template<typename TImpl , int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>

void ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::grad	(	grad_type &	g,
		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::BaseLSFS< TImpl, TDim, TShape, TGrad >::getImpl().

Referenced by ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::grads().

◆ grads() [1/3]

template<typename TImpl , int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>

void ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::grads	(	grad_type *	vGrad,
		const MathVector< dim > &	x
	)		const

inline

returns all gradients evaluated at a point

This function returns the gradients of all Shape Functions at an element-local evaluation point in an array.

Parameters

[out]	vGrad	Vector of gradients
[in]	x	Position on reference element (evaluation point)

References ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::getImpl(), and ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::grad().

Referenced by ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::grads(), and ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::grads().

◆ grads() [2/3]

template<typename TImpl , int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>

void ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::grads	(	std::vector< grad_type > &	vGrad,
		const MathVector< dim > &	x
	)		const

inline

returns all gradients evaluated at a point

This function returns the gradients of all Shape Functions at an element-local evaluation point in an array.

Parameters

[out]	vGrad	Vector of gradients
[in]	x	Position on reference element (evaluation point)

References ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::getImpl(), and ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::grads().

◆ grads() [3/3]

template<typename TImpl , int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>

void ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::grads	(	std::vector< std::vector< grad_type > > &	vvGrad,
		const std::vector< MathVector< dim > > &	vLocPos
	)		const

inline

returns all gradients evaluated at a point

This function returns the gradients of all Shape Functions at an element-local evaluation point in an array.

Parameters

[out]	vGrad	Vector of gradients
[in]	x	Position on reference element (evaluation point)

References ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::grads().

◆ shape() [1/2]

template<typename TImpl , int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>

void ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shape	(	shape_type &	sh,
		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::BaseLSFS< TImpl, TDim, TShape, TGrad >::shape().

◆ shape() [2/2]

template<typename TImpl , int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>

shape_type ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shape	(	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::BaseLSFS< TImpl, TDim, TShape, TGrad >::getImpl().

Referenced by ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shape(), and ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shapes().

◆ shapes() [1/3]

template<typename TImpl , int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>

void ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shapes	(	shape_type *	vShape,
		const MathVector< dim > &	x
	)		const

inline

returns all shape functions evaluated at a point

This function returns the values of all Shape Functions at an element-local evaluation point in an array.

Parameters

[out]	vShape	Vector of Shapes
[in]	x	Position on reference element (evaluation point)

References ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::getImpl(), and ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shape().

Referenced by ug::FV1InnerBoundaryElemDisc< TImpl, TDomain >::prep_err_est_elem(), ug::FV1InnerBoundaryElemDisc< TImpl, TDomain >::prep_err_est_elem_loop(), ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shapes(), and ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shapes().

◆ shapes() [2/3]

template<typename TImpl , int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>

void ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shapes	(	std::vector< shape_type > &	vShape,
		const MathVector< dim > &	x
	)		const

inline

returns all shape functions evaluated at a point

This function returns the values of all Shape Functions at an element-local evaluation point in an array.

Parameters

[out]	vShape	Vector of Shapes
[in]	x	Position on reference element (evaluation point)

References ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::getImpl(), and ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shapes().

◆ shapes() [3/3]

template<typename TImpl , int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>

void ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shapes	(	std::vector< std::vector< shape_type > > &	vvShape,
		const std::vector< MathVector< dim > > &	vLocPos
	)		const

inline

returns all shape functions evaluated at a point

This function returns the values of all Shape Functions at an element-local evaluation point in an array.

Parameters

[out]	vShape	Vector of Shapes
[in]	x	Position on reference element (evaluation point)

References ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::shapes().

Member Data Documentation

◆ dim

template<typename TImpl , int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>

const int ug::BaseLSFS< TImpl, TDim, TShape, TGrad >::dim = TDim

static

dimension of reference element

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

ugbase/lib_disc/local_finite_element/local_shape_function_set.h

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Detailed Description

Member Typedef Documentation

◆ grad_type

◆ ImplType

◆ shape_type

Member Function Documentation

◆ getImpl() [1/2]

◆ getImpl() [2/2]

◆ grad()

◆ grads() [1/3]

◆ grads() [2/3]

◆ grads() [3/3]

◆ shape() [1/2]

◆ shape() [2/2]

◆ shapes() [1/3]

◆ shapes() [2/3]

◆ shapes() [3/3]

Member Data Documentation

◆ dim