Dune::PDELab::MimeticLocalFiniteElementMap< IIS, D, R, dim > Class Template Reference

#include <dune/pdelab/finiteelementmap/mimeticfem.hh>

Inheritance diagram for Dune::PDELab::MimeticLocalFiniteElementMap< IIS, D, R, dim >:

Public Types
typedef Dune::PDELab::LocalFiniteElementMapTraits< FE >	Traits
	export type of the signature

Public Member Functions
	MimeticLocalFiniteElementMap (const IIS &iis_, Dune::GeometryType::BasicType basicType)
	Use when Imp has a standard constructor.
template<class EntityType >
const Traits::FiniteElementType &	find (const EntityType &e) const
	get local basis functions for entity

Static Public Member Functions
static constexpr bool	hasDOFs (int codim)=delete
	return if FiniteElementMap has degrees of freedom for given codimension
static constexpr std::size_t	maxLocalSize ()=delete
	compute an upper bound for the local number of DOFs.

Size calculation
The FiniteElementMap provides different methods to compute the size of the GridFunctionSpace (if possible) without iterating the grid. The approach is as follows (pseudo code): computeNumberOfDofs(GridView, FEM): if(FEM.fixedSize()): sum(FEM.size(gt)*GridView.size(gt) for gt in GeometryTypes) else sum(FEM.find(E).basis().size() for E in GridView.entities<0>())
static constexpr int	dimension
	dimension of the domain this FEM is defined on.
static constexpr bool	fixedSize ()=delete
	a FiniteElementMap is fixedSize iif the size of the local functions space for each GeometryType is fixed.
static constexpr std::size_t	size (GeometryType gt)=delete
	if the FiniteElementMap is fixedSize, the size methods computes the number of DOFs for given GeometryType.

Member Typedef Documentation

Traits

template<typename IIS , typename D , typename R , int dim>

typedef Dune::PDELab::LocalFiniteElementMapTraits<FE> Dune::PDELab::MimeticLocalFiniteElementMap< IIS, D, R, dim >::Traits

export type of the signature

Constructor & Destructor Documentation

MimeticLocalFiniteElementMap()

template<typename IIS , typename D , typename R , int dim>

Dune::PDELab::MimeticLocalFiniteElementMap< IIS, D, R, dim >::MimeticLocalFiniteElementMap ( const IIS &  iis_, Dune::GeometryType::BasicType  basicType  )

inline

Use when Imp has a standard constructor.

Member Function Documentation

find()

template<typename IIS , typename D , typename R , int dim>

template<class EntityType >

const Traits::FiniteElementType & Dune::PDELab::MimeticLocalFiniteElementMap< IIS, D, R, dim >::find ( const EntityType &  e ) const

inline

get local basis functions for entity

fixedSize()

static constexpr bool Dune::PDELab::LocalFiniteElementMapInterface< Dune::PDELab::LocalFiniteElementMapTraits< MimeticLocalFiniteElement< D, R, dim > > , MimeticLocalFiniteElementMap< IIS, D, R, dim > >::fixedSize ( )

staticconstexprdeleteinherited

a FiniteElementMap is fixedSize iif the size of the local functions space for each GeometryType is fixed.

hasDOFs()

static constexpr bool Dune::PDELab::LocalFiniteElementMapInterface< Dune::PDELab::LocalFiniteElementMapTraits< MimeticLocalFiniteElement< D, R, dim > > , MimeticLocalFiniteElementMap< IIS, D, R, dim > >::hasDOFs ( int  codim )

staticconstexprdeleteinherited

return if FiniteElementMap has degrees of freedom for given codimension

maxLocalSize()

static constexpr std::size_t Dune::PDELab::LocalFiniteElementMapInterface< Dune::PDELab::LocalFiniteElementMapTraits< MimeticLocalFiniteElement< D, R, dim > > , MimeticLocalFiniteElementMap< IIS, D, R, dim > >::maxLocalSize ( )

staticconstexprdeleteinherited

compute an upper bound for the local number of DOFs.

this upper bound is used to avoid reallocations in std::vectors used during the assembly.

size()

static constexpr std::size_t Dune::PDELab::LocalFiniteElementMapInterface< Dune::PDELab::LocalFiniteElementMapTraits< MimeticLocalFiniteElement< D, R, dim > > , MimeticLocalFiniteElementMap< IIS, D, R, dim > >::size ( GeometryType  gt )

staticconstexprdeleteinherited

if the FiniteElementMap is fixedSize, the size methods computes the number of DOFs for given GeometryType.

Member Data Documentation

dimension

constexpr int Dune::PDELab::LocalFiniteElementMapInterface< Dune::PDELab::LocalFiniteElementMapTraits< MimeticLocalFiniteElement< D, R, dim > > , MimeticLocalFiniteElementMap< IIS, D, R, dim > >::dimension

staticconstexprinherited

dimension of the domain this FEM is defined on.

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

• mimeticfem.hh