dune-localfunctions 2.10
Loading...
Searching...
No Matches
refinedp0localbasis.hh
Go to the documentation of this file.
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_REFINED_P0_LOCALBASIS_HH
6#define DUNE_REFINED_P0_LOCALBASIS_HH
7
8#include <numeric>
9
10#include <dune/common/fvector.hh>
11#include <dune/common/fmatrix.hh>
12
15
16namespace Dune
17{
18
38 template<class D, class R, int dim>
40 : public RefinedSimplexLocalBasis<D,dim>
41 {
42 // 2 to the k-th power
43 constexpr static int N = 1<<dim;
44 public:
46 typedef LocalBasisTraits<D,dim,Dune::FieldVector<D,dim>,R,1,Dune::FieldVector<R,1>, Dune::FieldMatrix<R,1,dim> > Traits;
47
49 unsigned int size () const
50 {
51 return N;
52 }
53
55 inline void evaluateFunction (const typename Traits::DomainType& in,
56 std::vector<typename Traits::RangeType>& out) const
57 {
58 int subElement = this->getSubElement(in);
59 out.resize(N);
60 for(int i=0; i<N; ++i)
61 out[i] = (i==subElement) ? 1 : 0;
62 }
63
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(N);
69 for(int i=0; i<N; ++i)
70 out[i][0] = 0;
71 }
72
74 void partial (const std::array<unsigned int, dim>& order,
75 const typename Traits::DomainType& in, // position
76 std::vector<typename Traits::RangeType>& out) const // return value
77 {
78 auto totalOrder = std::accumulate(order.begin(), order.end(), 0);
79 if (totalOrder == 0) {
80 evaluateFunction(in, out);
81 } else {
82 out.resize(size());
83 for (std::size_t i = 0; i < size(); ++i)
84 out[i] = 0;
85 }
86 }
87
92 unsigned int order () const
93 {
94 return 0;
95 }
96
97 };
98
99}
100#endif
Contains a base class for LocalBasis classes based on uniform refinement.
Definition bdfmcube.hh:18
Type traits for LocalBasisVirtualInterface.
Definition common/localbasis.hh:35
D DomainType
domain type
Definition common/localbasis.hh:43
Definition refinedsimplexlocalbasis.hh:20
Uniformly refined constant shape functions on a unit simplex in R^dim.
Definition refinedp0localbasis.hh:41
void partial(const std::array< unsigned int, dim > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate partial derivatives of all shape functions.
Definition refinedp0localbasis.hh:74
void evaluateFunction(const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate all shape functions.
Definition refinedp0localbasis.hh:55
void evaluateJacobian(const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
Definition refinedp0localbasis.hh:65
unsigned int order() const
Polynomial order of the shape functions.
Definition refinedp0localbasis.hh:92
LocalBasisTraits< D, dim, Dune::FieldVector< D, dim >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, dim > > Traits
export type traits for function signature
Definition refinedp0localbasis.hh:46
unsigned int size() const
number of shape functions
Definition refinedp0localbasis.hh:49