Elementwise constant shape functions. More...

#include <piecewise_constant.h>

Inheritance diagram for ug::PiecewiseConstantLSFS< TRefElem >:

Public Member Functions
bool	continuous () const
	returns if space constructs continuous functions

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

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

const LocalDoF &	local_dof (size_t dof) const
	returns the DoFs storage

size_t	num_dof () const

size_t	num_dof (ReferenceObjectID type) const

size_t	num_sh () const

	PiecewiseConstantLSFS ()
	Constructor.

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

ReferenceObjectID	roid () const
	returns the Reference object id of the corresponding grid object

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

Public Member Functions inherited from ug::BaseLSFS< PiecewiseConstantLSFS< TRefElem >, TRefElem::dim >
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 = TRefElem::dim
	Dimension, where shape functions are defined.

Static Public Attributes inherited from ug::BaseLSFS< PiecewiseConstantLSFS< TRefElem >, TRefElem::dim >
static const int	dim
	dimension of reference element

Protected Attributes
MathVector< dim >	bary
	Barycenter.

LocalDoF	m_vLocalDoF
	association to elements

Additional Inherited Members
Public Types inherited from ug::BaseLSFS< PiecewiseConstantLSFS< TRefElem >, TRefElem::dim >
typedef MathVector< TDim >	grad_type
	Gradient type.

typedef PiecewiseConstantLSFS< TRefElem >	ImplType
	type of implementation

typedef number	shape_type
	Shape type.

Protected Member Functions inherited from ug::BaseLSFS< PiecewiseConstantLSFS< TRefElem >, TRefElem::dim >
ImplType &	getImpl ()
	access to implementation

const ImplType &	getImpl () const
	const access to implementation

Detailed Description

template<typename TRefElem>
class ug::PiecewiseConstantLSFS< TRefElem >

Elementwise constant shape functions.

Constructor & Destructor Documentation

◆ PiecewiseConstantLSFS()

template<typename TRefElem >

ug::PiecewiseConstantLSFS< TRefElem >::PiecewiseConstantLSFS ( )

inline

Constructor.

References ug::PiecewiseConstantLSFS< TRefElem >::bary, ug::PiecewiseConstantLSFS< TRefElem >::dim, ug::Provider< TClass >::get(), and ug::PiecewiseConstantLSFS< TRefElem >::m_vLocalDoF.

Member Function Documentation

◆ continuous()

template<typename TRefElem >

bool ug::PiecewiseConstantLSFS< TRefElem >::continuous ( ) const

inline

returns if space constructs continuous functions

◆ exact_position_available()

template<typename TRefElem >

bool ug::PiecewiseConstantLSFS< TRefElem >::exact_position_available ( ) const

inline

returns if the local dof position are exact

◆ grad()

template<typename TRefElem >

void ug::PiecewiseConstantLSFS< TRefElem >::grad	(	MathVector< dim > &	g,
		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::VecSet().

◆ local_dof()

template<typename TRefElem >

const LocalDoF & ug::PiecewiseConstantLSFS< TRefElem >::local_dof ( size_t dof ) const

inline

returns the DoFs storage

References ug::PiecewiseConstantLSFS< TRefElem >::m_vLocalDoF.

◆ num_dof() [1/2]

template<typename TRefElem >

size_t ug::PiecewiseConstantLSFS< TRefElem >::num_dof ( ) const

inline

returns the total number of dofs on the finite element

◆ num_dof() [2/2]

template<typename TRefElem >

size_t ug::PiecewiseConstantLSFS< TRefElem >::num_dof ( ReferenceObjectID type ) const

inline

returns the total number of dofs on the finite element

◆ num_sh()

template<typename TRefElem >

size_t ug::PiecewiseConstantLSFS< TRefElem >::num_sh ( ) const

inline

returns the total number of dofs on the finite element

◆ position()

template<typename TRefElem >

bool ug::PiecewiseConstantLSFS< TRefElem >::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::PiecewiseConstantLSFS< TRefElem >::bary.

◆ roid()

template<typename TRefElem >

ReferenceObjectID ug::PiecewiseConstantLSFS< TRefElem >::roid ( ) const

inline

returns the Reference object id of the corresponding grid object

◆ shape()

template<typename TRefElem >

number ug::PiecewiseConstantLSFS< TRefElem >::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

Member Data Documentation

◆ bary

template<typename TRefElem >

MathVector<dim> ug::PiecewiseConstantLSFS< TRefElem >::bary

protected

Barycenter.

Referenced by ug::PiecewiseConstantLSFS< TRefElem >::PiecewiseConstantLSFS(), and ug::PiecewiseConstantLSFS< TRefElem >::position().

◆ dim

template<typename TRefElem >

const int ug::PiecewiseConstantLSFS< TRefElem >::dim = TRefElem::dim

static

Dimension, where shape functions are defined.

Referenced by ug::PiecewiseConstantLSFS< TRefElem >::PiecewiseConstantLSFS().

◆ m_vLocalDoF

template<typename TRefElem >

LocalDoF ug::PiecewiseConstantLSFS< TRefElem >::m_vLocalDoF

protected

association to elements

Referenced by ug::PiecewiseConstantLSFS< TRefElem >::local_dof(), and ug::PiecewiseConstantLSFS< TRefElem >::PiecewiseConstantLSFS().

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

ugbase/lib_disc/local_finite_element/piecewise_constant/piecewise_constant.h

Public Member Functions

Static Public Attributes

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ PiecewiseConstantLSFS()

Member Function Documentation

◆ continuous()

◆ exact_position_available()

◆ grad()

◆ local_dof()

◆ num_dof() [1/2]

◆ num_dof() [2/2]

◆ num_sh()

◆ position()

◆ roid()

◆ shape()

Member Data Documentation

◆ bary

◆ dim

◆ m_vLocalDoF