implementation for finite elements requiring oriented edges More...

Inheritance diagram for Dune::PDELab::EdgeS0LocalFiniteElementMap< GV, FE, Imp >:

Public Types
typedef LocalFiniteElementMapTraits < FE >	Traits
	export type of the signature More...

Public Member Functions
	EdgeS0LocalFiniteElementMap (const GV &gv_)
	construct EdgeSLocalFiniteElementMap More...

template<class EntityType >
const Traits::FiniteElementType &	find (const EntityType &e) const
	get local basis functions for entity More...

std::size_t	maxLocalSize () const
	compute an upper bound for the local number of DOFs. More...

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>())
bool	fixedSize () const
	a FiniteElementMap is fixedSize iif the size of the local functions space for each GeometryType is fixed. More...

std::size_t	size (GeometryType gt) const
	if the FiniteElementMap is fixedSize, the size methods computes the number of DOFs for given GeometryType. More...

Detailed Description

implementation for finite elements requiring oriented edges

This is for edge elements. It works for one type of Geometry only, and the requirements for the local finite element are:

The default orientation of the shape functions on the edges must be from the vertex with the lower index within the reference element to the vertex with the higher index.
The local finite element must allow assignment.
The local finite element must have a default constructor.
the local finite element hust have a constructor of the form FE(unsigned int orientation), where orientation is a bitfield. If bit i in orientation is set it means that the orientation of the shape function corresponding to the edge with id i in the reference element is inverted.

Template Parameters

GV	Type of gridview to work with
FE	Type of local finite element
Imp	Type of the final LocalFiniteElementMap implementation

Member Typedef Documentation

template<typename GV , typename FE , typename Imp >

export type of the signature

template<typename GV , typename FE , typename Imp >

Dune::PDELab::EdgeS0LocalFiniteElementMap< GV, FE, Imp >::EdgeS0LocalFiniteElementMap ( const GV & gv_ )

inline

construct EdgeSLocalFiniteElementMap

template<typename GV , typename FE , typename Imp >

template<class EntityType >

const Traits::FiniteElementType& Dune::PDELab::EdgeS0LocalFiniteElementMap< GV, FE, Imp >::find ( const EntityType & e ) const

inline

get local basis functions for entity

References e.

bool Dune::PDELab::LocalFiniteElementMapInterface< LocalFiniteElementMapTraits< FE > , Imp >::fixedSize ( ) const

inlineinherited

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

std::size_t Dune::PDELab::LocalFiniteElementMapInterface< LocalFiniteElementMapTraits< FE > , Imp >::maxLocalSize ( ) const

inlineinherited

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.

std::size_t Dune::PDELab::LocalFiniteElementMapInterface< LocalFiniteElementMapTraits< FE > , Imp >::size ( GeometryType gt ) const

inlineinherited

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

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