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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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