dune-localfunctions 2.9.0
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p0localbasis.hh
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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_P0LOCALBASIS_HH
6#define DUNE_P0LOCALBASIS_HH
7
8#include <numeric>
9
10#include <dune/common/fmatrix.hh>
11
13
14namespace Dune
15{
28 template<class D, class R, int d>
30 {
31 public:
33 typedef LocalBasisTraits<D,d,Dune::FieldVector<D,d>,R,1,Dune::FieldVector<R,1>,
34 Dune::FieldMatrix<R,1,d> > Traits;
35
37 unsigned int size () const
38 {
39 return 1;
40 }
41
43 inline void evaluateFunction (const typename Traits::DomainType&,
44 std::vector<typename Traits::RangeType>& out) const
45 {
46 out.resize(1);
47 out[0] = 1;
48 }
49
51 inline void
52 evaluateJacobian (const typename Traits::DomainType&, // position
53 std::vector<typename Traits::JacobianType>& out) const // return value
54 {
55 out.resize(1);
56 for (int i=0; i<d; i++)
57 out[0][0][i] = 0;
58 }
59
65 void partial(const std::array<unsigned int,d>& order,
66 const typename Traits::DomainType& in,
67 std::vector<typename Traits::RangeType>& out) const
68 {
69 auto totalOrder = std::accumulate(order.begin(), order.end(), 0);
70 if (totalOrder == 0) {
71 evaluateFunction(in, out);
72 } else {
73 out.resize(1);
74 out[0] = 0;
75 }
76 }
77
79 unsigned int order () const
80 {
81 return 0;
82 }
83 };
84
85}
86
87#endif
Definition bdfmcube.hh:18
Type traits for LocalBasisVirtualInterface.
Definition common/localbasis.hh:34
D DomainType
domain type
Definition common/localbasis.hh:42
Constant shape function.
Definition p0localbasis.hh:30
unsigned int order() const
Polynomial order of the shape functions.
Definition p0localbasis.hh:79
void evaluateJacobian(const typename Traits::DomainType &, std::vector< typename Traits::JacobianType > &out) const
Evaluate Jacobian of all shape functions.
Definition p0localbasis.hh:52
void evaluateFunction(const typename Traits::DomainType &, std::vector< typename Traits::RangeType > &out) const
Evaluate all shape functions.
Definition p0localbasis.hh:43
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:65
unsigned int size() const
number of shape functions
Definition p0localbasis.hh:37
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:34