dune-localfunctions  2.9.0
hierarchicalp2.hh
Go to the documentation of this file.
1 // -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
2 // vi: set et ts=4 sw=2 sts=2:
3 // SPDX-FileCopyrightInfo: Copyright (C) DUNE Project contributors, see file LICENSE.md in module root
4 // SPDX-License-Identifier: LicenseRef-GPL-2.0-only-with-DUNE-exception
5 #ifndef DUNE_HIERARCHICAL_P2_LOCALFINITEELEMENT_HH
6 #define DUNE_HIERARCHICAL_P2_LOCALFINITEELEMENT_HH
7 
8 #include <dune/geometry/type.hh>
9 
12 
15 
16 namespace Dune
17 {
18 
21  template<class D, class R, int dim>
23  {
24 
25  static_assert(1 <= dim && dim <= 3,
26  "HierarchicalP2LocalFiniteElement only implemented for dim==1, 2, 3.");
27 
28  public:
35 
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  static constexpr GeometryType type ()
71  {
72  return GeometryTypes::simplex(dim);
73  }
74 
75  private:
77 
78  typename Traits::LocalCoefficientsType coefficients;
79 
81  };
82 
83 }
84 
85 #endif
Hierarchical p2 shape functions for the simplex.
Definition: bdfmcube.hh:18
traits helper struct
Definition: localfiniteelementtraits.hh:13
LB LocalBasisType
Definition: localfiniteelementtraits.hh:16
LC LocalCoefficientsType
Definition: localfiniteelementtraits.hh:20
LI LocalInterpolationType
Definition: localfiniteelementtraits.hh:24
Definition: hierarchicalsimplexp2localbasis.hh:23
Definition: hierarchicalsimplexp2localinterpolation.hh:18
Definition: hierarchicalp2.hh:23
const Traits::LocalBasisType & localBasis() const
Definition: hierarchicalp2.hh:43
HierarchicalP2LocalFiniteElement()
Definition: hierarchicalp2.hh:38
unsigned int size() const
Number of shape functions in this finite element.
Definition: hierarchicalp2.hh:63
LocalFiniteElementTraits< HierarchicalSimplexP2LocalBasis< D, R, dim >, typename LagrangeSimplexLocalFiniteElement< D, R, dim, 2 >::Traits::LocalCoefficientsType, HierarchicalSimplexP2LocalInterpolation< HierarchicalSimplexP2LocalBasis< D, R, dim > > > Traits
Definition: hierarchicalp2.hh:26
const Traits::LocalCoefficientsType & localCoefficients() const
Definition: hierarchicalp2.hh:50
const Traits::LocalInterpolationType & localInterpolation() const
Definition: hierarchicalp2.hh:57
static constexpr GeometryType type()
Definition: hierarchicalp2.hh:70