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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 <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/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

class  Dune::Functions::CubicHermitePreBasis< GV, reduced >
 A pre-basis for a Hermitebasis. More...
 

Namespaces

namespace  Dune
 Dune namespace.
 

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. More...
 

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
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