Dune Core Modules (unstable)

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 // SPDX-FileCopyrightInfo: Copyright © 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_P0LOCALBASIS_HH
6 #define DUNE_P0LOCALBASIS_HH
7 
8 #include <numeric>
9 
10 #include <dune/common/fmatrix.hh>
11 
12 #include <dune/localfunctions/common/localbasis.hh>
13 
14 namespace Dune
15 {
29  template<class D, class R, int d>
31  {
32  public:
36 
38  unsigned int size () const
39  {
40  return 1;
41  }
42 
44  inline void evaluateFunction (const typename Traits::DomainType&,
45  std::vector<typename Traits::RangeType>& out) const
46  {
47  out.resize(1);
48  out[0] = 1;
49  }
50 
52  inline void
53  evaluateJacobian (const typename Traits::DomainType&, // position
54  std::vector<typename Traits::JacobianType>& out) const // return value
55  {
56  out.resize(1);
57  for (int i=0; i<d; i++)
58  out[0][0][i] = 0;
59  }
60 
66  void partial(const std::array<unsigned int,d>& order,
67  const typename Traits::DomainType& in,
68  std::vector<typename Traits::RangeType>& out) const
69  {
70  auto totalOrder = std::accumulate(order.begin(), order.end(), 0);
71  if (totalOrder == 0) {
72  evaluateFunction(in, out);
73  } else {
74  out.resize(1);
75  out[0] = 0;
76  }
77  }
78 
80  unsigned int order () const
81  {
82  return 0;
83  }
84  };
85 
86 }
87 
88 #endif
A dense n x m matrix.
Definition: fmatrix.hh:117
vector space out of a tensor product of fields.
Definition: fvector.hh:95
Definition: p0localbasis.hh:31
unsigned int order() const
Polynomial order of the shape functions.
Definition: p0localbasis.hh:80
void evaluateJacobian(const typename Traits::DomainType &, std::vector< typename Traits::JacobianType > &out) const
Evaluate Jacobian of all shape functions.
Definition: p0localbasis.hh:53
void evaluateFunction(const typename Traits::DomainType &, std::vector< typename Traits::RangeType > &out) const
Evaluate all shape functions.
Definition: p0localbasis.hh:44
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:66
unsigned int size() const
number of shape functions
Definition: p0localbasis.hh:38
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:35
Implements a matrix constructed from a given type representing a field and compile-time given number ...
constexpr T accumulate(Range &&range, T value, F &&f)
Accumulate values.
Definition: hybridutilities.hh:279
Dune namespace.
Definition: alignedallocator.hh:13
Type traits for LocalBasisVirtualInterface.
Definition: localbasis.hh:35
D DomainType
domain type
Definition: localbasis.hh:43
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