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

quadrature implementation based on the standard DUNE quadratures More...

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

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

Public Types
enum	{ dimension = dim }
typedef FieldImp	FieldType
typedef BaseType::CoordinateType	CoordinateType
enum	{ codimension = 0 }
	to be revised, look at caching quad More...

Public Member Functions
	QuadratureRulesFactory (const GeometryType &geometry, const int order, const size_t id)
	constructor filling the list of points and weights
int	order () const
	obtain order of the integration point list
GeometryType	geometryType () const
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 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 Member Functions
static unsigned int	maxOrder ()
	maximal order of available quadratures

Protected Types
enum	{ highest_order = 44 }
typedef QuadratureRule< FieldType, dimension >	DuneQuadratureRuleType
typedef FieldVector< FieldType, dim+1 >	ElementCoordinateType

Protected Member Functions
void	addQuadraturePoint (const CoordinateType &point, const FieldType weight)
	Adds a point-weight pair to the quadrature.
void	setIntegrationPoints (std::vector< CoordinateType > &&points)
	Overwrites integration point list

Protected Attributes
const GeometryType	elementGeometry_
int	order_
std::vector< FieldType >	weights_
std::vector< CoordinateType >	points_
const size_t	id_

Detailed Description

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

quadrature implementation based on the standard DUNE quadratures

Though a factory by name, this is a quadrature implementation using the standard quadratures from DUNE grid to generate a list of quadrature points.

Member Typedef Documentation

CoordinateType

template<typename FieldImp , int dim>

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

DuneQuadratureRuleType

template<typename FieldImp , int dim>

typedef QuadratureRule< FieldType, dimension > Dune::Fem::QuadratureRulesFactory< FieldImp, dim >::DuneQuadratureRuleType

protected

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::QuadratureRulesFactory< FieldImp, dim >::FieldType

Member Enumeration Documentation

anonymous enum

template<typename FieldImp , int dim>

anonymous enum

Enumerator
dimension

anonymous enum

template<typename FieldImp , int dim>

anonymous enum

protected

Enumerator
highest_order

anonymous enum

template<typename FieldImp , int dim>

anonymous enum

inherited

to be revised, look at caching quad

Enumerator
codimension

Constructor & Destructor Documentation

QuadratureRulesFactory()

template<typename FieldImp , int dim>

Dune::Fem::QuadratureRulesFactory< FieldImp, dim >::QuadratureRulesFactory ( const GeometryType &  geometry, const int  order, const size_t  id  )

inline

constructor filling the list of points and weights

Parameters

[in]	geometry	geometry type for which a quadrature is desired
[in]	order	desired order (provided by the user)
[in]	id	unique identifier (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  )

inlineprotectedinherited

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>

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

inlinevirtual

Implements Dune::Fem::IntegrationPointListImp< FieldImp, dim >.

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

maxOrder()

template<typename FieldImp , int dim>

static unsigned int Dune::Fem::QuadratureRulesFactory< FieldImp, dim >::maxOrder ( )

inlinestatic

maximal order of available quadratures

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>

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

inlinevirtual

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

Implements Dune::Fem::IntegrationPointListImp< FieldImp, dim >.

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

inlineinherited

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

elementGeometry_

template<typename FieldImp , int dim>

const GeometryType Dune::Fem::QuadratureRulesFactory< FieldImp, dim >::elementGeometry_

protected

id_

template<typename FieldImp , int dim>

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

protectedinherited

order_

template<typename FieldImp , int dim>

int Dune::Fem::QuadratureRulesFactory< FieldImp, dim >::order_

protected

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_

mutableprotectedinherited

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

• dunequadratures.hh