Dune::Fem::ElementIntegrationPointList< GridPartImp, codim, IntegrationTraits > Class Template Reference

integration point list on the codim-0 reference element More...

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

Detailed Description

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

integration point list on the codim-0 reference element

DUNE quadratures are defined per geometry type, using local coordinates for the quadrature points. To evaluate a base function in some quadrature point, the quadrature must return points within the codim-0 reference element.

Now, assume you want to integrate over the face of a tetrahedron. This means you need a quadrature for a triangle, but the quadrature points should be specified with respect to the tetrahedron, since we want to evaluate our function in these points. This is where the ElementQuadrature comes into play.

The ElementIntegrationPointList takes a subentity and transforms the integration point list corresponding to the geometry to the codim-0 reference element.

To achieve this goal, an ElementIntegrationPointList depends stronger on the context in which it is used. For example, for each face within a tetrahedron (though they are all the same) we need a different ElementIntegrationPointList, since the coordinates of the quadrature points with respect to the codim-0 entity differ for each face.

Note

Actually, codim-1 element integration point lists depend on the intersection.

This integration point list does not support caching of base functions in integration points (see also CachingPointList).

For the actual implementations see

• ElementIntegrationPointList<GridPartImp,0,IntegrationTraits>
• ElementIntegrationPointList<GridPartImp,1,IntegrationTraits>

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

• dune/fem/quadrature/elementpointlist.hh