dune-localfunctions  2.2.1
pyramidp1localbasis.hh
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1 // -*- tab-width: 4; indent-tabs-mode: nil -*-
2 #ifndef DUNE_PYRAMID_P1_LOCALBASIS_HH
3 #define DUNE_PYRAMID_P1_LOCALBASIS_HH
4 
5 #include <dune/common/fmatrix.hh>
6 
8 
9 
10 namespace Dune
11 {
22  template<class D, class R>
24  {
25  public:
27  typedef LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,1,Dune::FieldVector<R,1>,
28  Dune::FieldMatrix<R,1,3> > Traits;
29 
31  unsigned int size () const
32  {
33  return 5;
34  }
35 
37  inline void evaluateFunction (const typename Traits::DomainType& in, // position
38  std::vector<typename Traits::RangeType>& out) const // return value
39  {
40  out.resize(5);
41 
42  if(in[0] > in[1])
43  {
44  out[0] = (1-in[0])*(1-in[1])-in[2]*(1-in[1]);
45  out[1] = in[0]*(1-in[1])-in[2]*in[1];
46  out[2] = (1-in[0])*in[1]-in[2]*in[1];
47  out[3] = in[0]*in[1]+in[2]*in[1];
48  }
49  else
50  {
51  out[0] = (1-in[0])*(1-in[1])-in[2]*(1-in[0]);
52  out[1] = in[0]*(1-in[1])-in[2]*in[0];
53  out[2] = (1-in[0])*in[1]-in[2]*in[0];
54  out[3] = in[0]*in[1]+in[2]*in[0];
55  }
56 
57 
58  out[4] = in[2];
59 
60 
61  }
62 
64  inline void
65  evaluateJacobian (const typename Traits::DomainType& in, // position
66  std::vector<typename Traits::JacobianType>& out) const // return value
67  {
68  out.resize(5);
69 
70  if(in[0] > in[1])
71  {
72  out[0][0][0] = -1 + in[1]; out[0][0][1] = -1 + in[0] + in[2]; out[0][0][2] = -1 + in[1];
73  out[1][0][0] = 1 - in[1]; out[1][0][1] = -in[0] - in[2]; out[1][0][2] = -in[1];
74  out[2][0][0] = -in[1]; out[2][0][1] = 1 - in[0] - in[2]; out[2][0][2] = -in[1];
75  out[3][0][0] = in[1]; out[3][0][1] = in[0]+in[2]; out[3][0][2] = in[1];
76  }
77  else
78  {
79  out[0][0][0] = -1 + in[1] + in[2]; out[0][0][1] = -1 + in[0]; out[0][0][2] = -1 + in[0];
80  out[1][0][0] = 1 - in[1] - in[2]; out[1][0][1] = -in[0]; out[1][0][2] = -in[0];
81  out[2][0][0] = -in[1] - in[2]; out[2][0][1] = 1 - in[0]; out[2][0][2] = -in[0];
82  out[3][0][0] = in[1] + in[2]; out[3][0][1] = in[0]; out[3][0][2] = in[0];
83 
84  }
85 
86  out[4][0][0] = 0; out[4][0][1] = 0; out[4][0][2] = 1;
87  }
88 
90  unsigned int order () const
91  {
92  return 1;
93  }
94  };
95 }
96 #endif