cubichermitebasis.hh File Reference

This file provides an implementation of the cubic Hermite finite element in 1 to 3 dimensions. More...

#include <algorithm>
#include <array>
#include <numeric>
#include <type_traits>
#include <vector>
#include <dune/common/exceptions.hh>
#include <dune/common/fmatrix.hh>
#include <dune/common/fvector.hh>
#include <dune/common/rangeutilities.hh>
#include <dune/grid/common/mcmgmapper.hh>
#include <dune/localfunctions/common/localbasis.hh>
#include <dune/localfunctions/common/localfiniteelementtraits.hh>
#include <dune/localfunctions/common/localkey.hh>
#include <dune/functions/common/mapperutilities.hh>
#include <dune/functions/common/squeezetensor.hh>
#include <dune/functions/functionspacebases/defaultglobalbasis.hh>
#include <dune/functions/functionspacebases/functionaldescriptor.hh>
#include <dune/functions/functionspacebases/leafprebasismappermixin.hh>
#include <dune/functions/functionspacebases/nodes.hh>
#include <dune/functions/functionspacebases/transformedfiniteelementmixin.hh>
#include <dune/functions/analyticfunctions/monomialset.hh>

Go to the source code of this file.

Classes
struct	Dune::Functions::H2LocalBasisTraits< DF, n, D, RF, m, R, J, H >
class	Dune::Functions::CubicHermiteNode< GV, R, reduced >
class	Dune::Functions::CubicHermitePreBasis< GV, R, reduced >
	A pre-basis for a Hermitebasis. More...

Namespaces
namespace	Dune
namespace	Dune::Functions
namespace	Dune::Functions::BasisFactory

Typedefs
template<class GV, bool reduced = false, class R = double>
using	Dune::Functions::CubicHermiteBasis = DefaultGlobalBasis<CubicHermitePreBasis<GV, R, reduced> >
	Nodal basis of a scalar cubic Hermite finite element space.

Detailed Description

This file provides an implementation of the cubic Hermite finite element in 1 to 3 dimensions.

For reference, see[Ciarlet, The Finite Element Method for Elliptic Problems, 2002]. It contains in the following order:

• A GlobalBasis typedef CubicHermiteBasis
• A template H2LocalBasisTraits, extending the dune-localfunctions LocalBasisTraits by an exported Hessiantype
• A template CubicHermiteLocalFiniteElement providing an implementation of the LocalFiniteElement interface, along with its subparts (Impl namespace)
• A template CubicHermiteNode
• A template CubicHermitePreBasis
• Two factories hermite() and reducedHermite() in the BasisFactory namespace