Dumux::LocalRefinementSimplexQuadrature< Geometry, IndicatorFunction > Class Template Reference

A quadrature rule using local refinement to approximate partitioned elements. More...

#include <dumux/multidomain/embedded/localrefinementquadrature.hh>

Description

template<class Geometry, class IndicatorFunction>
class Dumux::LocalRefinementSimplexQuadrature< Geometry, IndicatorFunction >

A quadrature rule using local refinement to approximate partitioned elements.

An indicator function provides a partition of the given geometry. The function returns the partition id for a given position. The algorithm then virtually refines the geometry using local refinemt to approximate the partition boundaries. One integration point per partition is added at the centroid of the partition.

This can be used, e.g. for low-order integration of the coupling term in the projection scheme over the interface facets. Each facet may be coupled to multiple 1D elements. See Koch (2021) https://arxiv.org/abs/2106.06358 which also describes this algorithm.

Public Member Functions
	LocalRefinementSimplexQuadrature (const Geometry &geo, std::size_t maxLevel, const IndicatorFunction &i)
auto	begin () const
auto	end () const
auto	size () const

Constructor & Destructor Documentation

LocalRefinementSimplexQuadrature()

template<class Geometry , class IndicatorFunction >

Dumux::LocalRefinementSimplexQuadrature< Geometry, IndicatorFunction >::LocalRefinementSimplexQuadrature ( const Geometry &  geo, std::size_t  maxLevel, const IndicatorFunction &  i  )

inline

Member Function Documentation

begin()

template<class Geometry , class IndicatorFunction >

auto Dumux::LocalRefinementSimplexQuadrature< Geometry, IndicatorFunction >::begin ( ) const

inline

end()

template<class Geometry , class IndicatorFunction >

auto Dumux::LocalRefinementSimplexQuadrature< Geometry, IndicatorFunction >::end ( ) const

inline

size()

template<class Geometry , class IndicatorFunction >

auto Dumux::LocalRefinementSimplexQuadrature< Geometry, IndicatorFunction >::size ( ) const

inline

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

• localrefinementquadrature.hh