Dune::Fem::Quadrature< FieldImp, dim, QuadratureTraits > Class Template Reference

actual interface class for quadratures More...

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

Public Types
enum
	to be revised, look at caching quad
typedef Traits ::IntegrationPointListType	IntegrationPointListType
	type of the implementation (this must actually be a quadrature implementation)
typedef IntegrationPointListType ::CoordinateType	CoordinateType
	type of local coordinate vectors
typedef Traits ::QuadratureKeyType	QuadratureKeyType
	type of key to identify the quadrature
enum
	to be revised, look at caching quad

Public Member Functions
	Quadrature (const GeometryType &geometryType, const QuadratureKeyType &key)
	create a quadrature for a given geometry and order More...
	Quadrature (const GeometryType &geometryType, const GeometryType &elementGeometry, const QuadratureKeyType &key)
	create a quadrature for a given geometry and order More...
	Quadrature (const IntegrationPointListType &ipList)
	create an integration point list from an implementation More...
	Quadrature (const IntegrationPointListStorageType &ipListPtr)
	create an integration point list from an implementation More...
	Quadrature (const Quadrature &org)
	copy constructor More...
const FieldType &	weight (size_t i) const
	obtain weight of i-th integration point More...
const IntegrationPointListType &	ipList () const
	obtain a reference the actual implementation More...
int	nop () const
	obtain the number of integration points More...
const CoordinateType &	point (size_t i) const
	obtain 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	geometryType () const
	obtain GeometryType for this integration point list More...
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

Detailed Description

template<class FieldImp, int dim, template< class, int > class QuadratureTraits = DefaultQuadratureTraits>
class Dune::Fem::Quadrature< FieldImp, dim, QuadratureTraits >

actual interface class for quadratures

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.

Constructor & Destructor Documentation

Quadrature() [1/5]

template<class FieldImp , int dim, template< class, int > class QuadratureTraits = DefaultQuadratureTraits>

Dune::Fem::Quadrature< FieldImp, dim, QuadratureTraits >::Quadrature ( const GeometryType &  geometryType, const QuadratureKeyType &  key  )

inline

create a quadrature for a given geometry and order

This constructor creates a quadrature for the specified geometry which is capable of integrating polynoms 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]	key	key to identify the quadrature (default = order)

Quadrature() [2/5]

template<class FieldImp , int dim, template< class, int > class QuadratureTraits = DefaultQuadratureTraits>

Dune::Fem::Quadrature< FieldImp, dim, QuadratureTraits >::Quadrature ( const GeometryType &  geometryType, const GeometryType &  elementGeometry, const QuadratureKeyType &  key  )

inline

create a quadrature for a given geometry and order

This constructor creates a quadrature for the specified geometry which is capable of integrating polynoms 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]	key	key to identify the quadrature (default = order)

Note

This is a specialized constructor for constructing face quadratures for UGGrid.

Quadrature() [3/5]

template<class FieldImp , int dim, template< class, int > class QuadratureTraits = DefaultQuadratureTraits>

Dune::Fem::Quadrature< FieldImp, dim, QuadratureTraits >::Quadrature ( const IntegrationPointListType &  ipList )

inlineexplicit

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

Quadrature() [4/5]

template<class FieldImp , int dim, template< class, int > class QuadratureTraits = DefaultQuadratureTraits>

Dune::Fem::Quadrature< FieldImp, dim, QuadratureTraits >::Quadrature ( const IntegrationPointListStorageType &  ipListPtr )

inlineexplicit

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

shared_ptr of implementation of the integration point list

Quadrature() [5/5]

template<class FieldImp , int dim, template< class, int > class QuadratureTraits = DefaultQuadratureTraits>

Dune::Fem::Quadrature< FieldImp, dim, QuadratureTraits >::Quadrature ( const Quadrature< FieldImp, dim, QuadratureTraits > &  org )

inline

copy constructor

Parameters

[in]

org

quadrature to be copied Copy constructor

Member Function Documentation

geometryType()

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

inlineinherited

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()

size_t Dune::Fem::IntegrationPointList< FieldImp, dim, DefaultQuadratureTraits >::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

ipList()

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

inlineinherited

obtain a reference the actual implementation

Returns

a reference to the implementation of this integration point list

nop()

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

inlineinherited

obtain the number of integration points

Returns

number of integration points within this list

order()

int Dune::Fem::IntegrationPointList< FieldImp, dim, DefaultQuadratureTraits >::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()

const CoordinateType& Dune::Fem::IntegrationPointList< FieldImp, dim, DefaultQuadratureTraits >::point ( size_t  i ) const

inlineinherited

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<class FieldImp , int dim, template< class, int > class QuadratureTraits = DefaultQuadratureTraits>

const FieldType& Dune::Fem::Quadrature< FieldImp, dim, QuadratureTraits >::weight ( size_t  i ) const

inline

obtain weight of i-th integration point

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

References Dune::Fem::IntegrationPointList< FieldImp, dim, DefaultQuadratureTraits >::ipList().

---

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

• dune/fem/quadrature/quadrature.hh