dune-fem 2.8.0
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Public Types | Public Member Functions | Static Public Attributes | Protected Types | Protected Member Functions | Protected Attributes | List of all members
Dune::Fem::QuadratureImp< FieldImp, dim > Class Template Referenceabstract

Generic implementation of a Dune quadrature. More...

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

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

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 FieldTypeweight (size_t i) const
 obtain weight of i-th integration point
 
const CoordinateTypepoint (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< ElementCoordinateTypeinterpolationPoints (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< FieldTypeweights_
 
std::vector< CoordinateTypepoints_
 
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]idunique 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]inumber 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]inumber 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: