Dune::PDELab::QkDGLocalFiniteElementMap< D, R, k, d, QkDGBasisPolynomial::lobatto > Class Template Reference

Qk discontinuous Galerkin FiniteElementMap based on Legendre polynomials at Gauss-Lobatto points. More...

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

Inheritance diagram for Dune::PDELab::QkDGLocalFiniteElementMap< D, R, k, d, QkDGBasisPolynomial::lobatto >:

Public Types
typedef LocalFiniteElementMapTraits< Dune::QkDGGLLocalFiniteElement< D, R, k, d > >	Traits
	export type of the signature More...

Public Member Functions
const Traits::FiniteElementType &	find (const EntityType &e) const
	get local basis functions for entity More...
bool	hasDOFs (int codim) const=delete
	return if FiniteElementMap has degrees of freedom for given codimension 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>())
std::size_t	size (GeometryType gt) const=delete
	if the FiniteElementMap is fixedSize, the size methods computes the number of DOFs for given GeometryType. More...

Static Public Member Functions
static constexpr bool	fixedSize ()
static constexpr bool	hasDOFs (int codim)
static constexpr std::size_t	size (GeometryType gt)
static constexpr std::size_t	maxLocalSize ()
static constexpr QkDGBasisPolynomial	polynomial ()
	return type of polynomial basis More...
static constexpr std::size_t	order ()
	return order of polynomial basis More...

Detailed Description

template<class D, class R, int k, int d>
class Dune::PDELab::QkDGLocalFiniteElementMap< D, R, k, d, QkDGBasisPolynomial::lobatto >

Qk discontinuous Galerkin FiniteElementMap based on Legendre polynomials at Gauss-Lobatto points.

Template Parameters

D	Type used for coordinates
R	Type used for shape function values
k	Order of polynomial basis
d	Grid dimension

Member Typedef Documentation

Traits

typedef LocalFiniteElementMapTraits<Dune::QkDGGLLocalFiniteElement< D, R, k, d > > Dune::PDELab::SimpleLocalFiniteElementMap< Dune::QkDGGLLocalFiniteElement< D, R, k, d > , dim_ >::Traits

inherited

export type of the signature

Member Function Documentation

find()

const Traits::FiniteElementType& Dune::PDELab::SimpleLocalFiniteElementMap< Dune::QkDGGLLocalFiniteElement< D, R, k, d > , dim_ >::find ( const EntityType &  e ) const

inlineinherited

get local basis functions for entity

fixedSize()

template<class D , class R , int k, int d>

static constexpr bool Dune::PDELab::QkDGLocalFiniteElementMap< D, R, k, d, QkDGBasisPolynomial::lobatto >::fixedSize ( )

inlinestaticconstexpr

hasDOFs() [1/2]

template<class D , class R , int k, int d>

static constexpr bool Dune::PDELab::QkDGLocalFiniteElementMap< D, R, k, d, QkDGBasisPolynomial::lobatto >::hasDOFs ( int  codim )

inlinestaticconstexpr

hasDOFs() [2/2]

bool Dune::PDELab::LocalFiniteElementMapInterface< LocalFiniteElementMapTraits< Dune::QkDGGLLocalFiniteElement< D, R, k, d > > , SimpleLocalFiniteElementMap< Dune::QkDGGLLocalFiniteElement< D, R, k, d > > >::hasDOFs ( int  codim ) const

deleteinherited

return if FiniteElementMap has degrees of freedom for given codimension

maxLocalSize()

template<class D , class R , int k, int d>

static constexpr std::size_t Dune::PDELab::QkDGLocalFiniteElementMap< D, R, k, d, QkDGBasisPolynomial::lobatto >::maxLocalSize ( )

inlinestaticconstexpr

order()

template<class D , class R , int k, int d>

static constexpr std::size_t Dune::PDELab::QkDGLocalFiniteElementMap< D, R, k, d, QkDGBasisPolynomial::lobatto >::order ( )

inlinestaticconstexpr

return order of polynomial basis

polynomial()

template<class D , class R , int k, int d>

static constexpr QkDGBasisPolynomial Dune::PDELab::QkDGLocalFiniteElementMap< D, R, k, d, QkDGBasisPolynomial::lobatto >::polynomial ( )

inlinestaticconstexpr

return type of polynomial basis

size() [1/2]

template<class D , class R , int k, int d>

static constexpr std::size_t Dune::PDELab::QkDGLocalFiniteElementMap< D, R, k, d, QkDGBasisPolynomial::lobatto >::size ( GeometryType  gt )

inlinestaticconstexpr

size() [2/2]

std::size_t Dune::PDELab::LocalFiniteElementMapInterface< LocalFiniteElementMapTraits< Dune::QkDGGLLocalFiniteElement< D, R, k, d > > , SimpleLocalFiniteElementMap< Dune::QkDGGLLocalFiniteElement< D, R, k, d > > >::size ( GeometryType  gt ) const

deleteinherited

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

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

• qkdg.hh