DUNE-FEM (unstable)

Public Types | Public Member Functions | Static Public Member Functions | Static Public Attributes | Protected Member Functions | List of all members
Dune::Fem::CachingPointList< GridPartImp, 0, IntegrationTraits > Class Template Reference

constructor More...

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

Public Types

typedef Base::CoordinateType CoordinateType
 The type of the coordinates in the codim-0 reference element.
 
typedef Base::QuadratureKeyType QuadratureKeyType
 type of quadrature identifier on user side (default is the order of quadrature)
 
typedef QuadraturePointWrapper< This > QuadraturePointWrapperType
 the type of the quadrature point
 
typedef QuadraturePointIterator< This > IteratorType
 type of iterator
 
enum  Side
 inside and outside flags
 
typedef GridPartType::ctype RealType
 coordinate type
 
typedef IntegrationTraits::IntegrationPointListType IntegrationPointListType
 type of the integration point list
 

Public Member Functions

 CachingPointList (const GeometryType &geometry, const QuadratureKeyType &quadKey)
 constructor More...
 
const CoordinateType & point (const size_t i) const
 obtain coordinates of i-th integration point More...
 
size_t cachingPoint (const size_t quadraturePoint) const
 map quadrature points to caching points More...
 
size_t interpolationPoint (const size_t quadraturePoint) const
 map quadrature points to interpolation points More...
 
bool isInterpolationQuadrature (const size_t numShapeFunctions) const
 check if quadrature is interpolation quadrature More...
 
int twistId () const
 returns the twistId, i.e. [0,...,7]
 
size_t nop () const
 obtain the number of integration points More...
 
const LocalCoordinateType & localPoint (size_t i) const
 obtain local 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 geometry () const
 obtain GeometryType for this integration point list
 
GeometryType elementGeometry () const
 obtain GeometryType of the corresponding codim-0 the integration point list belongs to More...
 
int twistId () const
 convenience implementation for Dune::Fem::CachingInterface
 
int twistId () const
 returns the twistId, i.e. [0,...,7]
 

Static Public Member Functions

static constexpr bool twisted ()
 returns true if cachingPoint is not the identity mapping
 

Static Public Attributes

static const int pointSetId
 id of point set, positive if interpolation point set, otherwise negative
 
static const int dimension = GridPartType::dimension
 dimension of the grid
 

Protected Member Functions

const IntegrationPointListType & quadImp () const
 obtain the actual implementation of the quadrature More...
 

Detailed Description

template<class GridPartImp, class IntegrationTraits>
class Dune::Fem::CachingPointList< GridPartImp, 0, IntegrationTraits >

constructor

Parameters
[in]geometrygeometry type, the quadrature lives on
[in]orderdesired minimal order of the quadrature

Constructor & Destructor Documentation

◆ CachingPointList()

template<class GridPartImp , class IntegrationTraits >
Dune::Fem::CachingPointList< GridPartImp, 0, IntegrationTraits >::CachingPointList ( const GeometryType &  geometry,
const QuadratureKeyType &  quadKey 
)
inline

constructor

Parameters
[in]geometrygeometry type, the quadrature lives on
[in]orderdesired minimal order of the quadrature

Member Function Documentation

◆ cachingPoint()

template<class GridPartImp , class IntegrationTraits >
size_t Dune::Fem::CachingPointList< GridPartImp, 0, IntegrationTraits >::cachingPoint ( const size_t  quadraturePoint) const
inline

map quadrature points to caching points

For codim-1 entites, the mapping consists of two stages:

  • Consider the twist to get the quadrature point number on the face of the (codim-0) reference element,
  • Map the twisted quadrature point number to the caching point number.
Parameters
[in]quadraturePointnumber of quadrature point to map to a caching point

◆ elementGeometry()

template<class GridPartImp , int codim, class IntegrationTraits >
GeometryType Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::elementGeometry ( ) const
inlineinherited

obtain GeometryType of the corresponding codim-0 the integration point list belongs to

An element integration point list can return the coordinates of integration points with resepct to the codim-0 reference element and the reference element corresponding to the subentity the quadrature actually lives on. This method returns the geometry of the codim-0 entity.

Note
Calling this method yields a virtual function call, so do not call this method unnecessarily.
Returns
GeometryType for this integration point list

◆ id()

template<class GridPartImp , int codim, class IntegrationTraits >
size_t Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::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

References Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::quadImp().

◆ interpolationPoint()

template<class GridPartImp , class IntegrationTraits >
size_t Dune::Fem::CachingPointList< GridPartImp, 0, IntegrationTraits >::interpolationPoint ( const size_t  quadraturePoint) const
inline

map quadrature points to interpolation points

Parameters
[in]quadraturePointnumber of quadrature point to map to an interpolation point

◆ isInterpolationQuadrature()

template<class GridPartImp , class IntegrationTraits >
bool Dune::Fem::CachingPointList< GridPartImp, 0, IntegrationTraits >::isInterpolationQuadrature ( const size_t  numShapeFunctions) const
inline

check if quadrature is interpolation quadrature

Parameters
[in]numShapeFunctionsnumber of shapeFunctions that has to match number of quadrature points or number of internal interpolation points

◆ localPoint()

template<class GridPartImp , int codim, class IntegrationTraits >
const LocalCoordinateType& Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::localPoint ( size_t  i) const
inlineinherited

obtain local coordinates of i-th integration point

This method returns a reference to the local coordinates of the i-th integration point for 0 <= i < nop(). Here, local coordinates means coordinates with respect to the reference element of the subentity.

Parameters
[in]inumber of the integration point, 0 <= i < nop()
Returns
reference to i-th integration point

◆ nop()

template<class GridPartImp , int codim, class IntegrationTraits >
size_t Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::nop ( ) const
inlineinherited

obtain the number of integration points

Returns
number of integration points within this list

References Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::quadImp().

◆ order()

template<class GridPartImp , int codim, class IntegrationTraits >
int Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::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

References Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::quadImp().

◆ point()

template<class GridPartImp , class IntegrationTraits >
const CoordinateType& Dune::Fem::CachingPointList< GridPartImp, 0, IntegrationTraits >::point ( const size_t  i) const
inline

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

◆ quadImp()

template<class GridPartImp , int codim, class IntegrationTraits >
const IntegrationPointListType& Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::quadImp ( ) const
inlineprotectedinherited

obtain the actual implementation of the quadrature

Note
This method may only be used in derived classes.
Returns
a reference to the actual implementation of the quadrature

Referenced by Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::geometry(), Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::id(), Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::nop(), and Dune::Fem::ElementPointListBase< GridPartImp, codim, IntegrationTraits >::order().

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