dune-localfunctions 2.9.0
whitney/edges0.5/interpolation.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 (C) DUNE Project contributors, see file LICENSE.md in module root
4// SPDX-License-Identifier: LicenseRef-GPL-2.0-only-with-DUNE-exception
5
6#ifndef DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_INTERPOLATION_HH
7#define DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_INTERPOLATION_HH
8
9#include <cstddef>
10#include <vector>
11
14
15namespace Dune {
16
18 //
19 // Interpolation
20 //
21
23
29 template<class Geometry, class Traits_>
31 private EdgeS0_5Common<Traits_::dimDomainLocal,
32 typename Traits_::DomainField>
33 {
34 public:
35 typedef Traits_ Traits;
36
37 private:
38 static const std::size_t dim = Traits::dimDomainLocal;
40 using Base::refelem;
41 using Base::s;
42
43 std::vector<typename Traits::DomainGlobal> edgev;
44
45 public:
47
53 template<typename VertexOrder>
54 EdgeS0_5Interpolation(const Geometry& geo,
55 const VertexOrder& vertexOrder) :
56 edgev(s)
57 {
58 for(std::size_t i = 0; i < s; ++i) {
59 const std::size_t i0 = refelem.subEntity(i,dim-1,0,dim);
60 const std::size_t i1 = refelem.subEntity(i,dim-1,1,dim);
61
62 edgev[i] = geo.corner(i1);
63 edgev[i] -= geo.corner(i0);
64 edgev[i] /= edgev[i].two_norm();
65
66 const typename VertexOrder::iterator& edgeVertexOrder =
67 vertexOrder.begin(dim-1, i);
68 if(edgeVertexOrder[0] > edgeVertexOrder[1])
69 edgev[i] *= -1;
70 }
71 }
72
74 template<typename F, typename C>
75 void interpolate(const F& ff, std::vector<C>& out) const {
76 typename Traits::Range y;
77
78 auto&& f = Impl::makeFunctionWithCallOperator<std::decay_t<decltype(refelem.position(0,dim-1))>>(ff);
79
80 out.resize(s);
81
82 for(std::size_t i = 0; i < s; ++i) {
83 y = f(refelem.position(i,dim-1));
84
85 out[i] = y * edgev[i];
86 }
87 }
88 };
89
90} // namespace Dune
91
92#endif // DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_INTERPOLATION_HH
Definition: bdfmcube.hh:18
Common base class for edge elements.
Definition: common.hh:19
RefElem refelem
The reference element for this edge element.
Definition: common.hh:26
std::size_t s
The number of base functions.
Definition: common.hh:34
Interpolation for lowest order edge elements on simplices.
Definition: whitney/edges0.5/interpolation.hh:33
void interpolate(const F &ff, std::vector< C > &out) const
Interpolation of a function.
Definition: whitney/edges0.5/interpolation.hh:75
Traits_ Traits
Definition: whitney/edges0.5/interpolation.hh:35
EdgeS0_5Interpolation(const Geometry &geo, const VertexOrder &vertexOrder)
constructor
Definition: whitney/edges0.5/interpolation.hh:54