Dune::PDELab::Pk1dLocalFiniteElementMap< D, R > Class Template Reference

FiniteElementMap for the Pk basis in 1d. More...

#include <dune/pdelab/finiteelementmap/pk1d.hh>

Inheritance diagram for Dune::PDELab::Pk1dLocalFiniteElementMap< D, R >:

Public Types
typedef LocalFiniteElementMapTraits< LagrangeLocalFiniteElement< EquidistantPointSet, 1, D, R > >	Traits
	export type of the signature More...

Public Member Functions
	Pk1dLocalFiniteElementMap (std::size_t k)
bool	hasDOFs (int codim) const
std::size_t	size (GeometryType gt) const
std::size_t	maxLocalSize () const
const Traits::FiniteElementType &	find (const EntityType &e) const
	get local basis functions for entity More...

Static Public Member Functions
static constexpr bool	fixedSize ()
static constexpr bool	hasDOFs (int codim)=delete
	return if FiniteElementMap has degrees of freedom for given codimension More...
static constexpr std::size_t	maxLocalSize ()=delete
	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>())
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. More...

Static Public Attributes
static constexpr int	dimension

Detailed Description

template<class D, class R>
class Dune::PDELab::Pk1dLocalFiniteElementMap< D, R >

FiniteElementMap for the Pk basis in 1d.

Note

k is a runtime variable.

Template Parameters

D	Type to represent domain.
R	Type to represent range.

Member Typedef Documentation

Traits

typedef LocalFiniteElementMapTraits<LagrangeLocalFiniteElement< EquidistantPointSet, 1, D, R > > Dune::PDELab::SimpleLocalFiniteElementMap< LagrangeLocalFiniteElement< EquidistantPointSet, 1, D, R > , dim_ >::Traits

inherited

export type of the signature

Constructor & Destructor Documentation

Pk1dLocalFiniteElementMap()

template<class D , class R >

Dune::PDELab::Pk1dLocalFiniteElementMap< D, R >::Pk1dLocalFiniteElementMap ( std::size_t  k )

inline

Member Function Documentation

find()

const Traits::FiniteElementType& Dune::PDELab::SimpleLocalFiniteElementMap< LagrangeLocalFiniteElement< EquidistantPointSet, 1, D, R > , dim_ >::find ( const EntityType &  e ) const

inlineinherited

get local basis functions for entity

fixedSize()

template<class D , class R >

static constexpr bool Dune::PDELab::Pk1dLocalFiniteElementMap< D, R >::fixedSize ( )

inlinestaticconstexpr

hasDOFs() [1/2]

template<class D , class R >

bool Dune::PDELab::Pk1dLocalFiniteElementMap< D, R >::hasDOFs ( int  codim ) const

inline

hasDOFs() [2/2]

static constexpr bool Dune::PDELab::LocalFiniteElementMapInterface< LocalFiniteElementMapTraits< LagrangeLocalFiniteElement< EquidistantPointSet, 1, D, R > > , SimpleLocalFiniteElementMap< LagrangeLocalFiniteElement< EquidistantPointSet, 1, D, R >, dim_ > >::hasDOFs ( int  codim )

staticconstexprdeleteinherited

return if FiniteElementMap has degrees of freedom for given codimension

maxLocalSize() [1/2]

template<class D , class R >

std::size_t Dune::PDELab::Pk1dLocalFiniteElementMap< D, R >::maxLocalSize ( ) const

inline

maxLocalSize() [2/2]

static constexpr std::size_t Dune::PDELab::LocalFiniteElementMapInterface< LocalFiniteElementMapTraits< LagrangeLocalFiniteElement< EquidistantPointSet, 1, D, R > > , SimpleLocalFiniteElementMap< LagrangeLocalFiniteElement< EquidistantPointSet, 1, 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() [1/2]

template<class D , class R >

std::size_t Dune::PDELab::Pk1dLocalFiniteElementMap< D, R >::size ( GeometryType  gt ) const

inline

size() [2/2]

static constexpr std::size_t Dune::PDELab::LocalFiniteElementMapInterface< LocalFiniteElementMapTraits< LagrangeLocalFiniteElement< EquidistantPointSet, 1, D, R > > , SimpleLocalFiniteElementMap< LagrangeLocalFiniteElement< EquidistantPointSet, 1, 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::SimpleLocalFiniteElementMap< LagrangeLocalFiniteElement< EquidistantPointSet, 1, D, R > , dim_ >::dimension

staticconstexprinherited

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

• ap/pk1d.hh