Generic implementation of a Dune quadrature. More...

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

Inheritance diagram for Dune::Fem::QuadratureImp< FieldImp, dim >:

Public Types
typedef FieldImp	FieldType
	field type

typedef BaseType::CoordinateType	CoordinateType
	type of local coordinates

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

Public Member Functions
	QuadratureImp (const QuadratureImp &)=delete

virtual	~QuadratureImp ()=default

const FieldType &	weight (size_t i) const
	obtain weight of i-th integration point

const CoordinateType &	point (size_t i) const
	obtain 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

virtual int	order () const =0
	obtain order of the integration point list

virtual GeometryType	geometryType () const =0
	obtain GeometryType for this integration point list

virtual std::vector< ElementCoordinateType >	interpolationPoints (const int reqDim) const
	returns list of element interpolation points for a given face quadrature

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

Static Public Attributes
static const int	dimension = dim
	dimension of quadrature

Protected Types
typedef FieldVector< FieldType, dim+1 >	ElementCoordinateType

Protected Member Functions
	QuadratureImp (size_t id)
	Constructor.

void	addQuadraturePoint (const CoordinateType &point, const FieldType weight)
	Adds a point-weight pair to the quadrature.

void	addIntegrationPoint (const CoordinateType &point)
	Adds an integration point to the list.

void	setIntegrationPoints (std::vector< CoordinateType > &&points)
	Overwrites integration point list

Protected Attributes
std::vector< FieldType >	weights_

std::vector< CoordinateType >	points_

const size_t	id_

Detailed Description

template<typename FieldImp, int dim>
class Dune::Fem::QuadratureImp< FieldImp, dim >

Generic implementation of a Dune quadrature.

A Dune Quadrature is nothing but a list of integration points (see also IntegrationPointsListImp) and their respective weights.

Note: Quadratures do not change over time. It can safely be assumed that they always return the same points in the same order.

Member Typedef Documentation

◆ CoordinateType

template<typename FieldImp , int dim>

typedef BaseType::CoordinateType Dune::Fem::QuadratureImp< FieldImp, dim >::CoordinateType

type of local coordinates

◆ ElementCoordinateType

template<typename FieldImp , int dim>

typedef FieldVector< FieldType, dim+1 > Dune::Fem::IntegrationPointListImp< FieldImp, dim >::ElementCoordinateType

protectedinherited

◆ FieldType

template<typename FieldImp , int dim>

typedef FieldImp Dune::Fem::QuadratureImp< FieldImp, dim >::FieldType

field type

Member Enumeration Documentation

◆ anonymous enum

template<typename FieldImp , int dim>

anonymous enum

inherited

to be revised, look at caching quad

Enumerator
codimension

Constructor & Destructor Documentation

◆ QuadratureImp() [1/2]

template<typename FieldImp , int dim>

Dune::Fem::QuadratureImp< FieldImp, dim >::QuadratureImp ( size_t id )

inlineexplicitprotected

Constructor.

The constructor simply creates an empty quadrature and stores the specified identifier.

Note: The constructors of derived classes should fill the quadrature via addQuadraturePoint; The identifier of an integration point list must be globally unique. Even integration point lists for different dimensions must have different identifiers.

Parameters

[in] id unique identifier of the quadrature (provided by QuadratureProvider)

◆ QuadratureImp() [2/2]

template<typename FieldImp , int dim>

Dune::Fem::QuadratureImp< FieldImp, dim >::QuadratureImp ( const QuadratureImp< FieldImp, dim > & )

delete

◆ ~QuadratureImp()

template<typename FieldImp , int dim>

virtual Dune::Fem::QuadratureImp< FieldImp, dim >::~QuadratureImp ( )

virtualdefault

Member Function Documentation

◆ addIntegrationPoint()

template<typename FieldImp , int dim>

void Dune::Fem::IntegrationPointListImp< FieldImp, dim >::addIntegrationPoint ( const CoordinateType & point )

inlineprotectedinherited

Adds an integration point to the list.

This method allows derived classes to add integration points to the list. This mehtod should only be used within the constructor of the derived class.

◆ addQuadraturePoint()

template<typename FieldImp , int dim>

void Dune::Fem::QuadratureImp< FieldImp, dim >::addQuadraturePoint	(	const CoordinateType &	point,
		const FieldType	weight
	)

inlineprotected

Adds a point-weight pair to the quadrature.

This method allows derived classes to add quadrature points (and their respective weights) to the list. This mehtod should only be used within the constructor of the derived class.

◆ geometryType()

template<typename FieldImp , int dim>

virtual GeometryType Dune::Fem::IntegrationPointListImp< FieldImp, dim >::geometryType ( ) const

pure virtualinherited

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.

Returns: GeometryType for this integration point list

Implemented in Dune::Fem::CornerPointList< ct, geometryId >, Dune::Fem::QuadratureRulesFactory< FieldImp, dim >, Dune::Fem::SimplexQuadrature< FieldImp, dim >, Dune::Fem::CubeQuadrature< FieldImp, dim >, Dune::Fem::PrismQuadrature< FieldImp >, Dune::Fem::PyramidQuadrature< FieldImp >, Dune::Fem::PolyhedronQuadrature< FieldImp, dim >, Dune::Fem::LumpingQuadrature< FieldImp, geometryId >, Dune::Fem::TestQuadrature< ct, dim >, and Dune::Fem::LagrangePointListInterface< FieldImp, dim, maxPolOrder >.

◆ id()

template<typename FieldImp , int dim>

size_t Dune::Fem::IntegrationPointListImp< FieldImp, dim >::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

◆ interpolationPoints()

template<typename FieldImp , int dim>

virtual std::vector< ElementCoordinateType > Dune::Fem::IntegrationPointListImp< FieldImp, dim >::interpolationPoints ( const int reqDim ) const

inlinevirtualinherited

returns list of element interpolation points for a given face quadrature

◆ isFaceInterpolationQuadrature()

template<typename FieldImp , int dim>

virtual bool Dune::Fem::IntegrationPointListImp< FieldImp, dim >::isFaceInterpolationQuadrature ( const size_t numShapeFunctions ) const

inlinevirtualinherited

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

◆ nop()

template<typename FieldImp , int dim>

size_t Dune::Fem::IntegrationPointListImp< FieldImp, dim >::nop ( ) const

inlineinherited

obtain the number of integration points

Returns: number of integration points within this list

◆ order()

template<typename FieldImp , int dim>

virtual int Dune::Fem::IntegrationPointListImp< FieldImp, dim >::order ( ) const

pure virtualinherited

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.

Returns: the order of the integration point list

Implemented in Dune::Fem::CornerPointList< ct, geometryId >, Dune::Fem::QuadratureRulesFactory< FieldImp, dim >, Dune::Fem::SimplexQuadrature< FieldImp, dim >, Dune::Fem::CubeQuadrature< FieldImp, dim >, Dune::Fem::PrismQuadrature< FieldImp >, Dune::Fem::PyramidQuadrature< FieldImp >, Dune::Fem::PolyhedronQuadrature< FieldImp, dim >, Dune::Fem::LumpingQuadrature< FieldImp, geometryId >, Dune::Fem::TestQuadrature< ct, dim >, and Dune::Fem::LagrangePointListInterface< FieldImp, dim, maxPolOrder >.

◆ point()

template<typename FieldImp , int dim>

const CoordinateType & Dune::Fem::IntegrationPointListImp< FieldImp, dim >::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

◆ setIntegrationPoints()

template<typename FieldImp , int dim>

void Dune::Fem::IntegrationPointListImp< FieldImp, dim >::setIntegrationPoints ( std::vector< CoordinateType > && points )

inlineprotectedinherited

Overwrites integration point list

◆ weight()

template<typename FieldImp , int dim>

const FieldType & Dune::Fem::QuadratureImp< FieldImp, dim >::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

Member Data Documentation

◆ dimension

template<typename FieldImp , int dim>

const int Dune::Fem::IntegrationPointListImp< FieldImp, dim >::dimension = dim

staticinherited

dimension of quadrature

◆ id_

template<typename FieldImp , int dim>

const size_t Dune::Fem::IntegrationPointListImp< FieldImp, dim >::id_

protectedinherited

◆ points_

template<typename FieldImp , int dim>

std::vector< CoordinateType > Dune::Fem::IntegrationPointListImp< FieldImp, dim >::points_

mutableprotectedinherited

◆ weights_

template<typename FieldImp , int dim>

std::vector< FieldType > Dune::Fem::QuadratureImp< FieldImp, dim >::weights_

mutableprotected

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

quadratureimp.hh

Public Types

Public Member Functions

Static Public Attributes

Protected Types

Protected Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ CoordinateType

◆ ElementCoordinateType

◆ FieldType

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ QuadratureImp() [1/2]

◆ QuadratureImp() [2/2]

◆ ~QuadratureImp()

Member Function Documentation

◆ addIntegrationPoint()

◆ addQuadraturePoint()

◆ geometryType()

◆ id()

◆ interpolationPoints()

◆ isFaceInterpolationQuadrature()

◆ nop()

◆ order()

◆ point()

◆ setIntegrationPoints()

◆ weight()

Member Data Documentation

◆ dimension

◆ id_

◆ points_

◆ weights_