actual interface class for integration point lists More...

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

Classes
struct	NoDelete

Public Types
enum	{ dimension = dim }

enum	{ codimension = 0 }
	to be revised, look at caching quad More...

typedef FieldImp	FieldType

typedef IntegrationTraits< FieldType, dimension >	Traits

typedef Traits::IntegrationPointListType	IntegrationPointListType
	type of integration point list implementation

typedef IntegrationPointListType::CoordinateType	CoordinateType
	type of coordinate

typedef QuadraturePointWrapper< ThisType >	QuadraturePointWrapperType

typedef std::shared_ptr< const IntegrationPointListType >	IntegrationPointListStorageType

Public Member Functions
template<class FactoryTraits >
	IntegrationPointList (const FactoryTraits traits, const GeometryType &geometryType, const typename FactoryTraits::QuadratureKeyType &quadKey)
	create a quadrature for a given geometry type and order

template<class QuadratureKeyType >
	IntegrationPointList (const GeometryType &geometryType, const QuadratureKeyType &quadKey)

template<class FactoryTraits >
	IntegrationPointList (const FactoryTraits traits, const GeometryType &geometryType, const GeometryType &elementGeometry, const typename FactoryTraits::QuadratureKeyType &quadKey)
	create a quadrature for a given geometry type and order

template<class QuadratureKeyType >
	IntegrationPointList (const GeometryType &geometryType, const GeometryType &elementGeometry, const QuadratureKeyType &quadKey)

	IntegrationPointList (const IntegrationPointListType &ipList)
	create an integration point list from an implementation

	IntegrationPointList (const IntegrationPointListStorageType &ipListPtr)
	create an integration point list from an implementation

	IntegrationPointList (const IntegrationPointList &org)=default
	copy constructor

const QuadraturePointWrapperType	operator[] (unsigned int i) const

const IntegrationPointListType &	ipList () const
	obtain a reference the actual implementation

int	nop () const
	obtain the number of integration points

const CoordinateType &	point (size_t i) const
	obtain 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	geometryType () const
	obtain GeometryType for this integration point list

auto	interpolationPoints (const int reqDim) const
	returns list of element interpolation points for a given face quadrature

bool	isFaceInterpolationQuadrature (const size_t numShapeFunctions) const
	return true if quadrature is also a set of interpolation points for the given shape functions

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

Protected Attributes
IntegrationPointListStorageType	ipListPtr_

Detailed Description

template<typename FieldImp, int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>
class Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >

actual interface class for integration point lists

IntegrationPointList is a proxy for the actual implementations of the integration point lists. During construction, the IntegrationPointList object is configured with an appropriate implementation object from the QuadratureProvider (monostate pattern).

The design goal is minimization of construction time. The actual implementation can be created once and reused whenever it is needed. Moreover, this layout insulates the user from all initialization and storage stuff.

Note: The difference between integration point lists and quadratures is that quadratures have weights.

Member Typedef Documentation

◆ CoordinateType

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

typedef IntegrationPointListType::CoordinateType Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::CoordinateType

type of coordinate

◆ FieldType

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

typedef FieldImp Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::FieldType

◆ IntegrationPointListStorageType

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

typedef std::shared_ptr< const IntegrationPointListType > Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::IntegrationPointListStorageType

◆ IntegrationPointListType

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

typedef Traits::IntegrationPointListType Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::IntegrationPointListType

type of integration point list implementation

◆ QuadraturePointWrapperType

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

typedef QuadraturePointWrapper< ThisType > Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::QuadraturePointWrapperType

◆ Traits

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

typedef IntegrationTraits< FieldType, dimension > Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::Traits

Member Enumeration Documentation

◆ anonymous enum

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

anonymous enum

Enumerator
dimension

◆ anonymous enum

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

anonymous enum

to be revised, look at caching quad

Enumerator
codimension

Constructor & Destructor Documentation

◆ IntegrationPointList() [1/7]

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

template<class FactoryTraits >

Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::IntegrationPointList	(	const FactoryTraits	traits,
		const GeometryType &	geometryType,
		const typename FactoryTraits::QuadratureKeyType &	quadKey
	)

inline

create a quadrature for a given geometry type and order

This constructor creates a quadrature for the specified geometry which is capable of integrating polynomials up the given order exactly.

Note: The order of the quadrature may be higher than the requested one.

Parameters

[in]	geometryType	geometry type of the requested quadrature
[in]	order	order of the requested quadrature

◆ IntegrationPointList() [2/7]

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

template<class QuadratureKeyType >

Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::IntegrationPointList	(	const GeometryType &	geometryType,
		const QuadratureKeyType &	quadKey
	)

inline

◆ IntegrationPointList() [3/7]

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

template<class FactoryTraits >

Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::IntegrationPointList	(	const FactoryTraits	traits,
		const GeometryType &	geometryType,
		const GeometryType &	elementGeometry,
		const typename FactoryTraits::QuadratureKeyType &	quadKey
	)

inline

create a quadrature for a given geometry type and order

This constructor creates a quadrature for the specified geometry which is capable of integrating polynomials up the given order exactly.

Note: The order of the quadrature may be higher than the requested one.

Parameters

[in]	geometryType	geometry type of the requested quadrature
[in]	elementGeometry	geometry type of element that resulting quadrature is used for (in case of face quadratures)
[in]	order	order of the requested quadrature

◆ IntegrationPointList() [4/7]

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

template<class QuadratureKeyType >

Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::IntegrationPointList	(	const GeometryType &	geometryType,
		const GeometryType &	elementGeometry,
		const QuadratureKeyType &	quadKey
	)

inline

◆ IntegrationPointList() [5/7]

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::IntegrationPointList ( const IntegrationPointListType & ipList )

inline

create an integration point list from an implementation

This constructor creates an integration point list from a given implementation.

Note: This constructor is provided mainly for testing purposes.

Parameters

[in] ipList implementation of the integration point list

◆ IntegrationPointList() [6/7]

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::IntegrationPointList ( const IntegrationPointListStorageType & ipListPtr )

inline

create an integration point list from an implementation

This constructor creates an integration point list from a given implementation.

Note: This constructor is provided mainly for agglomeration quadratures

Parameters

[in] ipListPtr implementation of the integration point list

◆ IntegrationPointList() [7/7]

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::IntegrationPointList ( const IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature > & org )

inlinedefault

copy constructor

Parameters

[in] org integration point list to be copied

Member Function Documentation

◆ geometryType()

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

GeometryType Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::geometryType ( ) const

inline

obtain GeometryType for this integration point list

Integration point lists are specified in local coordinates, i.e., coordinates with respect to the reference element. Hence, each integration point list is only valid for one type of geometry, i.e., for one reference element. The type can be retrieved via this method.

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

Returns: GeometryType for this integration point list

◆ id()

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

size_t Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::id ( ) const

inline

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

◆ interpolationPoints()

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

auto Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::interpolationPoints ( const int reqDim ) const

inline

returns list of element interpolation points for a given face quadrature

◆ ipList()

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

const IntegrationPointListType & Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::ipList ( ) const

inline

obtain a reference the actual implementation

Returns: a reference to the implementation of this integration point list

◆ isFaceInterpolationQuadrature()

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

bool Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::isFaceInterpolationQuadrature ( const size_t numShapeFunctions ) const

inline

return true if quadrature is also a set of interpolation points for the given shape functions

◆ nop()

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

int Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::nop ( ) const

inline

obtain the number of integration points

Returns: number of integration points within this list

◆ operator[]()

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

const QuadraturePointWrapperType Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::operator[] ( unsigned int i ) const

inline

◆ order()

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

int Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::order ( ) const

inline

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 FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

const CoordinateType & Dune::Fem::IntegrationPointList< FieldImp, dim, 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

◆ weight()

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

WeightReturnType Dune::Fem::IntegrationPointList< FieldImp, dim, 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

◆ ipListPtr_

template<typename FieldImp , int dim, template< class, int > class IntegrationTraits, bool isQuadrature = false>

IntegrationPointListStorageType Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits, isQuadrature >::ipListPtr_

protected

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

quadrature.hh

Classes

Public Types

Public Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ CoordinateType

◆ FieldType

◆ IntegrationPointListStorageType

◆ IntegrationPointListType

◆ QuadraturePointWrapperType

◆ Traits

Member Enumeration Documentation

◆ anonymous enum

◆ anonymous enum

Constructor & Destructor Documentation

◆ IntegrationPointList() [1/7]

◆ IntegrationPointList() [2/7]

◆ IntegrationPointList() [3/7]

◆ IntegrationPointList() [4/7]

◆ IntegrationPointList() [5/7]

◆ IntegrationPointList() [6/7]

◆ IntegrationPointList() [7/7]

Member Function Documentation

◆ geometryType()

◆ id()

◆ interpolationPoints()

◆ ipList()

◆ isFaceInterpolationQuadrature()

◆ nop()

◆ operator[]()

◆ order()

◆ point()

◆ weight()

Member Data Documentation

◆ ipListPtr_