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

Inheritance diagram for Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >:

Public Types
typedef GridPartImp	GridPartType
	type of the grid partition

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

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

typedef IntersectionIteratorType::Intersection	IntersectionType

typedef QuadraturePointWrapper< This >	QuadraturePointWrapperType
	type of the quadrature point

typedef QuadraturePointIterator< This >	IteratorType
	type of iterator

typedef This	NonConformingQuadratureType
	type quadrature for use on non-conforming intersections

typedef GridPartType::TwistUtilityType	TwistUtilityType

typedef IntersectionIteratorType	IntersectionIterator

enum	Side
	inside and outside flags More...

typedef GridPartType::ctype	RealType
	coordinate type

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

typedef IntegrationPointListType::CoordinateType	LocalCoordinateType

Public Member Functions
template<class QuadratureKeyType >
	ElementQuadratureImpl (const GridPartType &gridPart, const IntersectionType &intersection, const QuadratureKeyType &quadKey, const typename Base ::Side side)
	constructor

const QuadraturePointWrapperType	operator[] (size_t i) const

IteratorType	begin () const noexcept

IteratorType	end () const noexcept

Base::Side	side () const

bool	isInside () const

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

auto	weight (size_t i) const
	obtain weight of i-th integration point (if quadrature, else 1.0)

const IntersectionType &	intersection () const

size_t	nop () const
	obtain the number of integration points

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

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

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

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

size_t	cachingPoint (const size_t quadraturePoint) const

size_t	localCachingPoint (const size_t quadraturePoint) const

int	twistId () const
	convenience implementation for Dune::Fem::CachingInterface

int	nCachingPoints () const

int	cachingPointStart () const

int	localFaceIndex () const

Static Public Member Functions
static constexpr bool	twisted ()
	convenience implementation for Dune::Fem::CachingInterface

Static Public Attributes
static const int	dimension = Base::dimension

static const int	codimension
	codimension of the element integration point list

Protected Member Functions
Base	getPointList (const IntersectionType &intersection, const int order, const typename Base ::Side side)

const IntegrationPointListType &	quadImp () const
	obtain the actual implementation of the quadrature

Static Protected Member Functions
static GeometryType	getFaceGeometry (const GeometryType &elementGeo, const int face)

Detailed Description

template<class GridPartImp, class IntegrationTraits, bool isQuadrature>
class Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >

constructor

Parameters

[in]	gridPart	grid partition (a dummy here)
[in]	intersection	intersection
[in]	quadKey	quadrature key, i.e. desired order of the quadrature
[in]	side	either INSIDE or OUTSIDE; codim-0 entity for which the ElementQuadrature shall be created

Note: This code assumes that the codim-0 entity is either a simplex or a cube (otherwise elementGeometry() returns a wrong geometry).

Member Typedef Documentation

◆ CoordinateType

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

typedef Base::CoordinateType Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::CoordinateType

Type of coordinates in codim-0 reference element.

◆ GridPartType

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

typedef GridPartImp Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::GridPartType

type of the grid partition

◆ IntegrationPointListType

typedef IntegrationTraits::IntegrationPointListType Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::IntegrationPointListType

inherited

type of the integration point list

◆ IntersectionIterator

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

typedef IntersectionIteratorType Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::IntersectionIterator

◆ IntersectionIteratorType

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

typedef GridPartType::IntersectionIteratorType Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::IntersectionIteratorType

Type of the intersection iterator.

◆ IntersectionType

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

typedef IntersectionIteratorType::Intersection Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::IntersectionType

◆ IteratorType

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

typedef QuadraturePointIterator< This > Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::IteratorType

type of iterator

◆ LocalCoordinateType

typedef IntegrationPointListType::CoordinateType Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::LocalCoordinateType

inherited

◆ NonConformingQuadratureType

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

typedef This Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::NonConformingQuadratureType

type quadrature for use on non-conforming intersections

◆ QuadraturePointWrapperType

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

typedef QuadraturePointWrapper< This > Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::QuadraturePointWrapperType

type of the quadrature point

◆ RealType

typedef GridPartType::ctype Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::RealType

inherited

coordinate type

◆ TwistUtilityType

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

typedef GridPartType::TwistUtilityType Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::TwistUtilityType

Member Enumeration Documentation

◆ Side

enum Dune::Fem::ElementPointListBase::Side

inherited

inside and outside flags

Constructor & Destructor Documentation

◆ ElementQuadratureImpl()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

template<class QuadratureKeyType >

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

inline

constructor

Parameters

[in]	gridPart	grid partition (a dummy here)
[in]	intersection	intersection
[in]	quadKey	quadrature key, i.e. desired order of the quadrature
[in]	side	either INSIDE or OUTSIDE; codim-0 entity for which the ElementQuadrature shall be created

Note: This code assumes that the codim-0 entity is either a simplex or a cube (otherwise elementGeometry() returns a wrong geometry).

Member Function Documentation

◆ begin()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

IteratorType Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::begin ( ) const

inlinenoexcept

◆ cachingPoint()

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

inlineinherited

◆ cachingPointStart()

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

inlineinherited

◆ 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

◆ end()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

IteratorType Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::end ( ) const

inlinenoexcept

◆ geometry()

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

inlineinherited

obtain GeometryType for this integration point list

◆ getFaceGeometry()

static GeometryType Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::getFaceGeometry	(	const GeometryType &	elementGeo,
		const int	face
	)

inlinestaticprotectedinherited

◆ getPointList()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

Base Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::getPointList	(	const IntersectionType &	intersection,
		const int	order,
		const typename Base ::Side	side
	)

inlineprotected

◆ 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

◆ intersection()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

const IntersectionType & Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::intersection ( ) const

inline

◆ isInside()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

bool Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::isInside ( ) const

inline

◆ localCachingPoint()

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

inlineinherited

◆ localFaceIndex()

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

inlineinherited

◆ 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

◆ nCachingPoints()

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

inlineinherited

◆ 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

◆ operator[]()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

const QuadraturePointWrapperType Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::operator[] ( size_t i ) const

inline

◆ 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<class GridPartImp , class IntegrationTraits , bool isQuadrature>

const CoordinateType & Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::point ( 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

◆ side()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

Base::Side Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::side ( ) const

inline

◆ twisted()

static constexpr bool Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::twisted ( )

inlinestaticconstexprinherited

convenience implementation for Dune::Fem::CachingInterface

◆ twistId()

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

inlineinherited

convenience implementation for Dune::Fem::CachingInterface

◆ weight()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

auto Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::weight ( size_t i ) const

inline

obtain weight of i-th integration point (if quadrature, else 1.0)

This method returns the weight of the i-th integration point for 0 <= i < nop() within the quadrature.

Note: The integration point can be obtained via the point() method.; The quadrature weights sum up to the volume of the reference element.

Parameters

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

Returns: weight of the i-th integration point

Member Data Documentation

◆ codimension

const int Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::codimension

staticinherited

codimension of the element integration point list

◆ dimension

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

const int Dune::Fem::ElementQuadratureImpl< GridPartImp, 1, IntegrationTraits, isQuadrature >::dimension = Base::dimension

static

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

elementquadrature.hh

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Static Protected Member Functions

Detailed Description

Member Typedef Documentation

◆ CoordinateType

◆ GridPartType

◆ IntegrationPointListType

◆ IntersectionIterator

◆ IntersectionIteratorType

◆ IntersectionType

◆ IteratorType

◆ LocalCoordinateType

◆ NonConformingQuadratureType

◆ QuadraturePointWrapperType

◆ RealType

◆ TwistUtilityType

Member Enumeration Documentation

◆ Side

Constructor & Destructor Documentation

◆ ElementQuadratureImpl()

Member Function Documentation

◆ begin()

◆ cachingPoint()

◆ cachingPointStart()

◆ elementGeometry()

◆ end()

◆ geometry()

◆ getFaceGeometry()

◆ getPointList()

◆ id()

◆ intersection()

◆ isInside()

◆ localCachingPoint()

◆ localFaceIndex()

◆ localPoint()

◆ nCachingPoints()

◆ nop()

◆ operator[]()

◆ order()

◆ point()

◆ quadImp()

◆ side()

◆ twisted()

◆ twistId()

◆ weight()

Member Data Documentation

◆ codimension

◆ dimension