dune-localfunctions  2.7.1
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 
41  const typename Traits::LocalBasisType& localBasis () const
42  {
43  return basis;
44  }
45 
49  {
50  return coefficients;
51  }
52 
56  {
57  return interpolation;
58  }
59 
61  unsigned int size () const
62  {
63  return basis.size();
64  }
65 
68  static constexpr GeometryType type ()
69  {
70  return GeometryTypes::simplex(dim);
71  }
72 
73  private:
75 
76  typename Traits::LocalCoefficientsType coefficients;
77 
79  };
80 
81 }
82 
83 #endif
Hierarchical p2 shape functions for the simplex.
Definition: bdfmcube.hh:16
traits helper struct
Definition: localfiniteelementtraits.hh:11
LB LocalBasisType
Definition: localfiniteelementtraits.hh:14
LC LocalCoefficientsType
Definition: localfiniteelementtraits.hh:18
LI LocalInterpolationType
Definition: localfiniteelementtraits.hh:22
Definition: hierarchicalsimplexp2localbasis.hh:21
Definition: hierarchicalsimplexp2localinterpolation.hh:16
Definition: hierarchicalp2.hh:21
const Traits::LocalBasisType & localBasis() const
Definition: hierarchicalp2.hh:41
HierarchicalP2LocalFiniteElement()
Definition: hierarchicalp2.hh:36
unsigned int size() const
Number of shape functions in this finite element.
Definition: hierarchicalp2.hh:61
LocalFiniteElementTraits< HierarchicalSimplexP2LocalBasis< D, R, dim >, typename PkLocalFiniteElement< D, R, dim, 2 >::Traits::LocalCoefficientsType, HierarchicalSimplexP2LocalInterpolation< HierarchicalSimplexP2LocalBasis< D, R, dim > > > Traits
Definition: hierarchicalp2.hh:24
const Traits::LocalCoefficientsType & localCoefficients() const
Definition: hierarchicalp2.hh:48
const Traits::LocalInterpolationType & localInterpolation() const
Definition: hierarchicalp2.hh:55
static constexpr GeometryType type()
Definition: hierarchicalp2.hh:68
Lagrange finite element for simplices with arbitrary compile-time dimension and polynomial order.
Definition: lagrangesimplex.hh:836