Dune::Fem::QuadratureImp< FieldImp, dim > Class Template Reference

Generic implementation of a Dune quadrature. More...

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

Public Types
typedef FieldImp	FieldType
	field type
typedef BaseType::CoordinateType	CoordinateType
	type of local coordinates
enum
	to be revised, look at caching quad

Public Member Functions
const FieldType &	weight (size_t i) const
	obtain weight of i-th integration point More...
const CoordinateType &	point (size_t i) const
	obtain coordinates of i-th integration point More...
size_t	nop () const
	obtain the number of integration points More...
size_t	id () const
	obtain the identifier of the integration point list More...
virtual int	order () const =0
	obtain order of the integration point list More...
virtual GeometryType	geometryType () const =0
	obtain GeometryType for this integration point list More...
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 Member Functions
	QuadratureImp (size_t id)
	Constructor. More...
void	addQuadraturePoint (const CoordinateType &point, const FieldType weight)
	Adds a point-weight pair to the quadrature. More...
void	setIntegrationPoints (std::vector< CoordinateType > &&points)
	Overwrites integration point list

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.

Constructor & Destructor Documentation

QuadratureImp()

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)

Member Function Documentation

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.

References Dune::Fem::IntegrationPointListImp< FieldImp, dim >::point(), and Dune::Fem::QuadratureImp< FieldImp, dim >::weight().

Referenced by Dune::Fem::QuadratureRulesFactory< FieldImp, dim >::QuadratureRulesFactory().

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::QuadratureRulesFactory< FieldImp, dim >, Dune::Fem::LumpingQuadrature< FieldImp, geometryId >, and Dune::Fem::LagrangePointListInterface< FieldImp, dim, maxPolOrder >.

Referenced by Dune::Fem::TwistMapperCreator< ct, dim >::TwistMapperCreator().

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

Referenced by Dune::Fem::TwistProvider< ct, dim >::getTwistStorage().

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

Referenced by Dune::Fem::IntegrationPointListImp< FieldImp, dim >::point().

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::QuadratureRulesFactory< FieldImp, dim >, Dune::Fem::LumpingQuadrature< FieldImp, geometryId >, 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

References Dune::Fem::IntegrationPointListImp< FieldImp, dim >::nop().

Referenced by Dune::Fem::IntegrationPointListImp< FieldImp, dim >::addIntegrationPoint(), and Dune::Fem::QuadratureImp< FieldImp, dim >::addQuadraturePoint().

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

Referenced by Dune::Fem::QuadratureImp< FieldImp, dim >::addQuadraturePoint().

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

• dune/fem/quadrature/quadratureimp.hh