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

Inheritance diagram for Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >:

Public Types
typedef Base::GridPartType	GridPartType

typedef Base::EntityType	EntityType

typedef Base::CoordinateType	CoordinateType
	The type of the coordinates in the codim-0 reference element.

typedef QuadraturePointWrapper< This >	QuadraturePointWrapperType
	the type of the quadrature point

typedef QuadraturePointIterator< This >	IteratorType
	type of iterator

enum	Side { INSIDE , OUTSIDE }
	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 >
	CachingQuadratureImpl (const EntityType &entity, const QuadratureKeyType &quadKey)

template<class QuadratureKeyType >
	CachingQuadratureImpl (const GeometryType &geometry, const QuadratureKeyType &quadKey)

const QuadraturePointWrapperType	operator[] (const size_t i) const

IteratorType	begin () const noexcept

IteratorType	end () const noexcept

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

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

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

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

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

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

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

size_t	nop () const
	obtain the number of integration points

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

GeometryType	type () const

GeometryType	geometryType () const

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

size_t	localCachingPoint (const size_t quadraturePoint) const
	convenience implementation for Dune::Fem::CachingInterface

int	localFaceIndex () const

int	nCachingPoints () const

int	cachingPointStart () const

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

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

static const int	pointSetId
	id of point set, positive if interpolation point set, otherwise negative

static const int	dimension = GridPartType::dimension
	dimension of the grid

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

Protected Attributes
IntegrationPointListType	quad_

Detailed Description

template<class GridPartImp, class IntegrationTraits, bool isQuadrature>
class Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >

Member Typedef Documentation

◆ CoordinateType

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

typedef Base::CoordinateType Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::CoordinateType

The type of the coordinates in the codim-0 reference element.

◆ EntityType

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

typedef Base::EntityType Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::EntityType

◆ GridPartType

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

typedef Base::GridPartType Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::GridPartType

◆ IntegrationPointListType

template<class GridPartImp , class IntegrationTraits >

typedef IntegrationTraits::IntegrationPointListType Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::IntegrationPointListType

inherited

type of the integration point list

◆ IteratorType

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

typedef QuadraturePointIterator< This > Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::IteratorType

type of iterator

◆ LocalCoordinateType

template<class GridPartImp , class IntegrationTraits >

typedef IntegrationPointListType::CoordinateType Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::LocalCoordinateType

inherited

◆ QuadraturePointWrapperType

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

typedef QuadraturePointWrapper< This > Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::QuadraturePointWrapperType

the type of the quadrature point

◆ RealType

template<class GridPartImp , class IntegrationTraits >

typedef GridPartType::ctype Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::RealType

inherited

coordinate type

Member Enumeration Documentation

◆ Side

template<class GridPartImp , class IntegrationTraits >

enum Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::Side

inherited

inside and outside flags

Enumerator
INSIDE
OUTSIDE

Constructor & Destructor Documentation

◆ CachingQuadratureImpl() [1/2]

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

template<class QuadratureKeyType >

Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::CachingQuadratureImpl	(	const EntityType &	entity,
		const QuadratureKeyType &	quadKey
	)

inline

◆ CachingQuadratureImpl() [2/2]

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

template<class QuadratureKeyType >

Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::CachingQuadratureImpl	(	const GeometryType &	geometry,
		const QuadratureKeyType &	quadKey
	)

inline

Member Function Documentation

◆ begin()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

IteratorType Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::begin ( ) const

inlinenoexcept

◆ cachingPoint()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

size_t Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::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

◆ cachingPointStart()

template<class GridPartImp , class IntegrationTraits >

int Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::cachingPointStart ( ) const

inlineinherited

◆ elementGeometry()

template<class GridPartImp , class IntegrationTraits >

GeometryType Dune::Fem::ElementPointListBase< GridPartImp, 0, 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::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::end ( ) const

inlinenoexcept

◆ geometry()

template<class GridPartImp , class IntegrationTraits >

GeometryType Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::geometry ( ) const

inlineinherited

◆ geometryType()

template<class GridPartImp , class IntegrationTraits >

GeometryType Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::geometryType ( ) const

inlineinherited

◆ id()

template<class GridPartImp , class IntegrationTraits >

size_t Dune::Fem::ElementPointListBase< GridPartImp, 0, 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<class GridPartImp , class IntegrationTraits , bool isQuadrature>

size_t Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::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<class GridPartImp , class IntegrationTraits , bool isQuadrature>

bool Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::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

◆ localCachingPoint()

template<class GridPartImp , class IntegrationTraits >

size_t Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::localCachingPoint ( const size_t quadraturePoint ) const

inlineinherited

convenience implementation for Dune::Fem::CachingInterface

◆ localFaceIndex()

template<class GridPartImp , class IntegrationTraits >

int Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::localFaceIndex ( ) const

inlineinherited

◆ localPoint()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

const LocalCoordinateType & Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::localPoint ( size_t i ) const

inline

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()

template<class GridPartImp , class IntegrationTraits >

int Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::nCachingPoints ( ) const

inlineinherited

◆ nop()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

size_t Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::nop ( ) const

inline

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::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::operator[] ( const size_t i ) const

inline

◆ order()

template<class GridPartImp , class IntegrationTraits >

int Dune::Fem::ElementPointListBase< GridPartImp, 0, 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::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::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()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

const IntegrationPointListType & Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::quadImp ( ) const

inlineprotected

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<class GridPartImp , class IntegrationTraits , bool isQuadrature>

static constexpr bool Dune::Fem::CachingInterface::twisted ( )

inlinestaticconstexpr

returns true if cachingPoint is not the identity mapping

◆ twistId()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

int Dune::Fem::CachingInterface::twistId ( ) const

inline

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

◆ type()

template<class GridPartImp , class IntegrationTraits >

GeometryType Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::type ( ) const

inlineinherited

◆ weight()

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

auto Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::weight ( std::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

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

const int Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::codimension = Base::codimension

static

◆ dimension

template<class GridPartImp , class IntegrationTraits >

const int Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::dimension = GridPartType::dimension

staticinherited

dimension of the grid

◆ pointSetId

template<class GridPartImp , class IntegrationTraits , bool isQuadrature>

const int Dune::Fem::CachingQuadratureImpl< GridPartImp, 0, IntegrationTraits, isQuadrature >::pointSetId

static

Initial value:

= SelectQuadraturePointSetId<

typename IntegrationTraits::IntegrationPointListType::Traits > :: value

SelectQuadraturePointSetId

id of point set, positive if interpolation point set, otherwise negative

◆ quad_

template<class GridPartImp , class IntegrationTraits >

IntegrationPointListType Dune::Fem::ElementPointListBase< GridPartImp, 0, IntegrationTraits >::quad_

protectedinherited

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

cachingquadrature.hh

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ CoordinateType

◆ EntityType

◆ GridPartType

◆ IntegrationPointListType

◆ IteratorType

◆ LocalCoordinateType

◆ QuadraturePointWrapperType

◆ RealType

Member Enumeration Documentation

◆ Side

Constructor & Destructor Documentation

◆ CachingQuadratureImpl() [1/2]

◆ CachingQuadratureImpl() [2/2]

Member Function Documentation

◆ begin()

◆ cachingPoint()

◆ cachingPointStart()

◆ elementGeometry()

◆ end()

◆ geometry()

◆ geometryType()

◆ id()

◆ interpolationPoint()

◆ isInterpolationQuadrature()

◆ localCachingPoint()

◆ localFaceIndex()

◆ localPoint()

◆ nCachingPoints()

◆ nop()

◆ operator[]()

◆ order()

◆ point()

◆ quadImp()

◆ twisted()

◆ twistId()

◆ type()

◆ weight()

Member Data Documentation

◆ codimension

◆ dimension

◆ pointSetId

◆ quad_