Dumux::PQ2HierarchicalLocalFiniteElement< D, R, dim, typeId > Class Template Reference

Hierarchical P2/Q2 finite element. More...

#include <dumux/discretization/pq2/pq2hierarchicallocalfiniteelement.hh>

Description

template<class D, class R, int dim, Dune::GeometryType::Id typeId>
class Dumux::PQ2HierarchicalLocalFiniteElement< D, R, dim, typeId >

Decomposition:

• Vertices: P1/Q1 nodal basis functions
• Remaining dofs: P2/Q2 nodal basis functions

Note

This represents a hierarchical splitting but does not give the classical one with edge bubble functions. Instead, the edge functions are the standard P2/Q2 basis functions..

Public Types
using	Traits = Dune::LocalFiniteElementTraits< Basis, Coefficients, Interpolation >

Public Member Functions
const Traits::LocalBasisType &	localBasis () const
const Traits::LocalCoefficientsType &	localCoefficients () const
const Traits::LocalInterpolationType &	localInterpolation () const

Static Public Member Functions
static constexpr std::size_t	size ()
static constexpr Dune::GeometryType	type ()

Member Typedef Documentation

Traits

template<class D , class R , int dim, Dune::GeometryType::Id typeId>

using Dumux::PQ2HierarchicalLocalFiniteElement< D, R, dim, typeId >::Traits = Dune::LocalFiniteElementTraits<Basis, Coefficients, Interpolation>

Member Function Documentation

localBasis()

template<class D , class R , int dim, Dune::GeometryType::Id typeId>

const Traits::LocalBasisType & Dumux::PQ2HierarchicalLocalFiniteElement< D, R, dim, typeId >::localBasis ( ) const

inline

localCoefficients()

template<class D , class R , int dim, Dune::GeometryType::Id typeId>

const Traits::LocalCoefficientsType & Dumux::PQ2HierarchicalLocalFiniteElement< D, R, dim, typeId >::localCoefficients ( ) const

inline

localInterpolation()

template<class D , class R , int dim, Dune::GeometryType::Id typeId>

const Traits::LocalInterpolationType & Dumux::PQ2HierarchicalLocalFiniteElement< D, R, dim, typeId >::localInterpolation ( ) const

inline

size()

template<class D , class R , int dim, Dune::GeometryType::Id typeId>

static constexpr std::size_t Dumux::PQ2HierarchicalLocalFiniteElement< D, R, dim, typeId >::size ( )

inlinestaticconstexpr

type()

template<class D , class R , int dim, Dune::GeometryType::Id typeId>

static constexpr Dune::GeometryType Dumux::PQ2HierarchicalLocalFiniteElement< D, R, dim, typeId >::type ( )

inlinestaticconstexpr

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

• pq2hierarchicallocalfiniteelement.hh