dune-localfunctions  2.2.1
prismp1localbasis.hh
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1 // -*- tab-width: 4; indent-tabs-mode: nil -*-
2 #ifndef DUNE_PRISM_P1_LOCALBASIS_HH
3 #define DUNE_PRISM_P1_LOCALBASIS_HH
4 
5 #include <dune/common/fmatrix.hh>
6 
8 
9 namespace Dune
10 {
21  template<class D, class R>
23  {
24  public:
26  typedef LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,1,Dune::FieldVector<R,1>,
27  Dune::FieldMatrix<R,1,3> > Traits;
28 
30  unsigned int size () const
31  {
32  return 6;
33  }
34 
36  inline void evaluateFunction (const typename Traits::DomainType& in,
37  std::vector<typename Traits::RangeType>& out) const
38  {
39  out.resize(6);
40  out[0] = (1.0-in[0]-in[1])*(1.0-in[2]);
41  out[1] = in[0]*(1-in[2]);
42  out[2] = in[1]*(1-in[2]);
43  out[3] = in[2]*(1.0-in[0]-in[1]);
44  out[4] = in[0]*in[2];
45  out[5] = in[1]*in[2];
46  }
47 
49  inline void
50  evaluateJacobian (const typename Traits::DomainType& in, // position
51  std::vector<typename Traits::JacobianType>& out) const // return value
52  {
53  out.resize(6);
54  out[0][0][0] = in[2]-1; out[0][0][1] = in[2]-1; out[0][0][2] = in[0]+in[1]-1; // basis function 0
55  out[1][0][0] = 1-in[2]; out[1][0][1] = 0; out[1][0][2] = -in[0]; // basis function 1
56  out[2][0][0] = 0; out[2][0][1] = 1-in[2]; out[2][0][2] = -in[1]; // basis function 2
57  out[3][0][0] = -in[2]; out[3][0][1] = -in[2]; out[3][0][2] = 1-in[0]-in[1]; // basis function 3
58  out[4][0][0] = in[2]; out[4][0][1] = 0; out[4][0][2] = in[0]; // basis function 4
59  out[5][0][0] = 0; out[5][0][1] = in[2]; out[5][0][2] = in[1]; // basis function 5
60  }
61 
63  unsigned int order () const
64  {
65  return 1;
66  }
67  };
68 }
69 #endif