Dune Core Modules (2.6.0)

p0localbasis.hh
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_P0LOCALBASIS_HH
4 #define DUNE_P0LOCALBASIS_HH
5 
6 #include <numeric>
7 
8 #include <dune/common/fmatrix.hh>
9 
10 #include <dune/localfunctions/common/localbasis.hh>
11 
12 namespace Dune
13 {
26  template<class D, class R, int d>
28  {
29  public:
33 
35  unsigned int size () const
36  {
37  return 1;
38  }
39 
41  inline void evaluateFunction (const typename Traits::DomainType& in,
42  std::vector<typename Traits::RangeType>& out) const
43  {
44  out.resize(1);
45  out[0] = 1;
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(1);
54  for (int i=0; i<d; i++)
55  out[0][0][i] = 0;
56  }
57 
63  void partial(const std::array<unsigned int,d>& order,
64  const typename Traits::DomainType& in,
65  std::vector<typename Traits::RangeType>& out) const
66  {
67  auto totalOrder = std::accumulate(order.begin(), order.end(), 0);
68  if (totalOrder == 0) {
69  evaluateFunction(in, out);
70  } else {
71  out.resize(1);
72  out[0] = 0;
73  }
74  }
75 
77  unsigned int order () const
78  {
79  return 0;
80  }
81  };
82 
83 }
84 
85 #endif
A dense n x m matrix.
Definition: fmatrix.hh:68
vector space out of a tensor product of fields.
Definition: fvector.hh:93
Constant shape function.
Definition: p0localbasis.hh:28
unsigned int order() const
Polynomial order of the shape functions.
Definition: p0localbasis.hh:77
void partial(const std::array< unsigned int, d > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate partial derivatives of any order of all shape functions.
Definition: p0localbasis.hh:63
void evaluateJacobian(const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
Evaluate Jacobian of all shape functions.
Definition: p0localbasis.hh:50
unsigned int size() const
number of shape functions
Definition: p0localbasis.hh:35
LocalBasisTraits< D, d, Dune::FieldVector< D, d >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, d > > Traits
export type traits for function signature
Definition: p0localbasis.hh:32
void evaluateFunction(const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate all shape functions.
Definition: p0localbasis.hh:41
Implements a matrix constructed from a given type representing a field and compile-time given number ...
T accumulate(Range &&range, T value, F &&f)
Accumulate values.
Definition: hybridutilities.hh:331
Dune namespace.
Definition: alignedallocator.hh:10
Type traits for LocalBasisVirtualInterface.
Definition: localbasis.hh:32
D DomainType
domain type
Definition: localbasis.hh:43
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