dune-localfunctions  2.5.0
hierarchicalp2.hh
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1 // -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
2 // vi: set et ts=4 sw=2 sts=2:
3 #ifndef DUNE_HIERARCHICAL_P2_LOCALFINITEELEMENT_HH
4 #define DUNE_HIERARCHICAL_P2_LOCALFINITEELEMENT_HH
5 
6 #include <dune/geometry/type.hh>
7 
10 
13 
14 namespace Dune
15 {
16 
19  template<class D, class R, int dim>
21  {
22 
23  static_assert(1 <= dim && dim <= 3,
24  "HierarchicalP2LocalFiniteElement only implemented for dim==1, 2, 3.");
25 
26  public:
33 
37  {
38  gt.makeSimplex(dim);
39  }
40 
43  const typename Traits::LocalBasisType& localBasis () const
44  {
45  return basis;
46  }
47 
51  {
52  return coefficients;
53  }
54 
58  {
59  return interpolation;
60  }
61 
63  unsigned int size () const
64  {
65  return basis.size();
66  }
67 
70  GeometryType type () const
71  {
72  return gt;
73  }
74 
76  {
77  return new HierarchicalP2LocalFiniteElement(*this);
78  }
79 
80  private:
81  HierarchicalSimplexP2LocalBasis<D,R,dim> basis;
82 
83  typename Traits::LocalCoefficientsType coefficients;
84 
86  GeometryType gt;
87  };
88 
89 }
90 
91 #endif
Hierarchical p2 shape functions for the simplex.
LocalFiniteElementTraits< HierarchicalSimplexP2LocalBasis< D, R, dim >, typename PkLocalFiniteElement< D, R, dim, 2 >::Traits::LocalCoefficientsType, HierarchicalSimplexP2LocalInterpolation< HierarchicalSimplexP2LocalBasis< D, R, dim > > > Traits
Definition: hierarchicalp2.hh:24
LI LocalInterpolationType
Definition: localfiniteelementtraits.hh:22
Definition: brezzidouglasmarini1cube2dlocalbasis.hh:15
const Traits::LocalBasisType & localBasis() const
Definition: hierarchicalp2.hh:43
Definition: hierarchicalsimplexp2localinterpolation.hh:14
unsigned int size() const
Number of shape functions in this finite element.
Definition: hierarchicalp2.hh:63
HierarchicalP2LocalFiniteElement * clone() const
Definition: hierarchicalp2.hh:75
traits helper struct
Definition: localfiniteelementtraits.hh:10
HierarchicalP2LocalFiniteElement()
Definition: hierarchicalp2.hh:36
Definition: hierarchicalsimplexp2localbasis.hh:20
Definition: hierarchicalp2.hh:20
const Traits::LocalCoefficientsType & localCoefficients() const
Definition: hierarchicalp2.hh:50
LC LocalCoefficientsType
Definition: localfiniteelementtraits.hh:18
GeometryType type() const
Definition: hierarchicalp2.hh:70
const Traits::LocalInterpolationType & localInterpolation() const
Definition: hierarchicalp2.hh:57
LB LocalBasisType
Definition: localfiniteelementtraits.hh:14
General Lagrange finite element with arbitrary dimension and polynomial order.
Definition: pk.hh:24