constructor More...

#include <dune/fem/quadrature/cachingpointlist.hh>

Public Types
typedef GridPartImp	GridPartType
	type of the grid partition

typedef Base::CoordinateType	CoordinateType
	Type of coordinates in codim-0 reference element.

typedef Base::QuadratureKeyType	QuadratureKeyType
	type of quadrature identifier on user side (default is the order of quadrature)

typedef GridPartType::IntersectionIteratorType	IntersectionIteratorType
	Type of the intersection iterator.

typedef QuadraturePointIterator< This >	IteratorType
	type of iterator

typedef ElementIntegrationPointList< GridPartType, codimension, IntegrationTraits >	NonConformingQuadratureType
	type of quadrature used for non-conforming intersections

enum	Side
	inside and outside flags

typedef IntegrationTraits::IntegrationPointListType	IntegrationPointListType
	type of the integration point list

Public Member Functions
	CachingPointList (const GridPartType &gridPart, const IntersectionType &intersection, const QuadratureKeyType &quadKey, const typename Base ::Side side)
	constructor More...

const CoordinateType &	point (const size_t i) const
	obtain coordinates of i-th integration point More...

int	twistId () const
	returns the twistId, i.e. [0,...,7] More...

size_t	cachingPoint (const size_t quadraturePoint) const
	map quadrature points to caching points More...

size_t	interpolationPoint (const size_t quadraturePoint) const
	map quadrature points to interpolation points More...

bool	isInterpolationQuadrature (const size_t numShapeFunctions) const
	check if quadrature is interpolation quadrature More...

size_t	nop () const
	obtain the number of integration points More...

const LocalCoordinateType &	localPoint (size_t i) const
	obtain local coordinates of i-th integration point More...

size_t	id () const
	obtain the identifier of the integration point list More...

int	order () const
	obtain order of the integration point list More...

GeometryType	geometry () const
	obtain GeometryType for this integration point list

GeometryType	elementGeometry () const
	obtain GeometryType of the corresponding codim-0 the integration point list belongs to More...

Static Public Member Functions
static constexpr bool	twisted ()
	returns true if cachingPoint is not the identity mapping More...

Protected Member Functions
const IntegrationPointListType &	quadImp () const
	obtain the actual implementation of the quadrature More...

Detailed Description

template<typename GridPartImp, class IntegrationTraits>
class Dune::Fem::CachingPointList< GridPartImp, 1, IntegrationTraits >

constructor

Note: The CachingPointList requires the grid part to get twist information for TwistUtility (see also ElementIntegrationPointList<GridPartImp,1>).

Parameters

[in]	gridPart	grid partition
[in]	intersection	intersection
[in]	quadKey	desired order of the quadrature or other means of quadrature identification
[in]	side	either INSIDE or OUTSIDE; codim-0 entity for which the ElementQuadrature shall be created

Constructor & Destructor Documentation

◆ CachingPointList()

template<typename GridPartImp , class IntegrationTraits >

Dune::Fem::CachingPointList< GridPartImp, 1, IntegrationTraits >::CachingPointList	(	const GridPartType &	gridPart,
		const IntersectionType &	intersection,
		const QuadratureKeyType &	quadKey,
		const typename Base ::Side	side
	)

inline

constructor

Note: The CachingPointList requires the grid part to get twist information for TwistUtility (see also ElementIntegrationPointList<GridPartImp,1>).

Parameters

[in]	gridPart	grid partition
[in]	intersection	intersection
[in]	quadKey	desired order of the quadrature or other means of quadrature identification
[in]	side	either INSIDE or OUTSIDE; codim-0 entity for which the ElementQuadrature shall be created

Member Function Documentation

◆ cachingPoint()

template<typename GridPartImp , class IntegrationTraits >

size_t Dune::Fem::CachingPointList< GridPartImp, 1, IntegrationTraits >::cachingPoint ( const size_t quadraturePoint ) const

inline

map quadrature points to caching points

For codim-1 entites, the mapping consists of two stages:

Consider the twist to get the quadrature point number on the face of the (codim-0) reference element,
Map the twisted quadrature point number to the caching point number.

Parameters

[in] quadraturePoint number of quadrature point to map to a caching point

◆ elementGeometry()

GeometryType Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::elementGeometry ( ) const

inlineinherited

obtain GeometryType of the corresponding codim-0 the integration point list belongs to

An element integration point list can return the coordinates of integration points with resepct to the codim-0 reference element and the reference element corresponding to the subentity the quadrature actually lives on. This method returns the geometry of the codim-0 entity.

Note: Calling this method yields a virtual function call, so do not call this method unnecessarily.

Returns: GeometryType for this integration point list

◆ id()

size_t Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::id ( ) const

inlineinherited

obtain the identifier of the integration point list

The identifier of an integration point list must be globally unique. Even integration point lists for different dimensions must have different identifiers.

Note: Quadratures are considered distinct if they differ in one of the following points: geometry type, order, dimension or implementation.

Returns: globally unique identifier of the integration point list

◆ interpolationPoint()

template<typename GridPartImp , class IntegrationTraits >

size_t Dune::Fem::CachingPointList< GridPartImp, 1, IntegrationTraits >::interpolationPoint ( const size_t quadraturePoint ) const

inline

map quadrature points to interpolation points

Parameters

[in] quadraturePoint number of quadrature point to map to an interpolation point

◆ isInterpolationQuadrature()

template<typename GridPartImp , class IntegrationTraits >

bool Dune::Fem::CachingPointList< GridPartImp, 1, IntegrationTraits >::isInterpolationQuadrature ( const size_t numShapeFunctions ) const

inline

check if quadrature is interpolation quadrature

Parameters

[in] numShapeFunctions number of shapeFunctions that has to match number of quadrature points or number of internal interpolation points

◆ localPoint()

const LocalCoordinateType& Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::localPoint ( size_t i ) const

inlineinherited

obtain local coordinates of i-th integration point

This method returns a reference to the local coordinates of the i-th integration point for 0 <= i < nop(). Here, local coordinates means coordinates with respect to the reference element of the subentity.

Parameters

[in] i number of the integration point, 0 <= i < nop()

Returns: reference to i-th integration point

◆ nop()

size_t Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::nop ( ) const

inlineinherited

obtain the number of integration points

Returns: number of integration points within this list

◆ order()

int Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::order ( ) const

inlineinherited

obtain order of the integration point list

The order of a quadrature is the maximal polynomial degree that is guaranteed to be integrated exactly by the quadrature.

In case of an integration point list, the definition of this value is left to the implementor.

Note: Calling this method yields a virtual function call, so do not call this method unnecessarily.

Returns: the order of the integration point list

◆ point()

template<typename GridPartImp , class IntegrationTraits >

const CoordinateType& Dune::Fem::CachingPointList< GridPartImp, 1, IntegrationTraits >::point ( const size_t i ) const

inline

obtain coordinates of i-th integration point

This method returns a reference to the coordinates of the i-th integration point for 0 <= i < nop(). The integration point is given in local coordinates, i.e., coordinates with respect to the reference element.

Parameters

[in] i number of the integration point, 0 <= i < nop()

Returns: reference to i-th integration point

◆ quadImp()

const IntegrationPointListType& Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::quadImp ( ) const

inlineprotectedinherited

obtain the actual implementation of the quadrature

Note: This method may only be used in derived classes.

Returns: a reference to the actual implementation of the quadrature

◆ twisted()

template<typename GridPartImp , class IntegrationTraits >

static constexpr bool Dune::Fem::CachingPointList< GridPartImp, 1, IntegrationTraits >::twisted ( )

inlinestaticconstexpr

returns true if cachingPoint is not the identity mapping

◆ twistId()

template<typename GridPartImp , class IntegrationTraits >

int Dune::Fem::CachingPointList< GridPartImp, 1, IntegrationTraits >::twistId ( ) const

inline

returns the twistId, i.e. [0,...,7]

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

dune/fem/quadrature/cachingpointlist.hh

DUNE Distributed and Unified Numerics Environment

DUNE-FEM (unstable)

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Detailed Description

template<typename GridPartImp, class IntegrationTraits>
class Dune::Fem::CachingPointList< GridPartImp, 1, IntegrationTraits >

Constructor & Destructor Documentation

◆ CachingPointList()

Member Function Documentation

◆ cachingPoint()

◆ elementGeometry()

◆ id()

◆ interpolationPoint()

◆ isInterpolationQuadrature()

◆ localPoint()

◆ nop()

◆ order()

◆ point()

◆ quadImp()

◆ twisted()

◆ twistId()

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Detailed Description

template<typename GridPartImp, class IntegrationTraits> class Dune::Fem::CachingPointList< GridPartImp, 1, IntegrationTraits >

Constructor & Destructor Documentation

◆ CachingPointList()

Member Function Documentation

◆ cachingPoint()

◆ elementGeometry()

◆ id()

◆ interpolationPoint()

◆ isInterpolationQuadrature()

◆ localPoint()

◆ nop()

◆ order()

◆ point()

◆ quadImp()

◆ twisted()

◆ twistId()

template<typename GridPartImp, class IntegrationTraits>
class Dune::Fem::CachingPointList< GridPartImp, 1, IntegrationTraits >