DUNE PDELab (git)

qkfem.hh
1// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
2// vi: set et ts=4 sw=2 sts=2:
3
4#ifndef DUNE_PDELAB_FINITEELEMENTMAP_QKFEM_HH
5#define DUNE_PDELAB_FINITEELEMENTMAP_QKFEM_HH
6
7#include <cstddef>
8
9#include <dune/localfunctions/lagrange/lagrangecube.hh>
10#include <dune/pdelab/finiteelementmap/finiteelementmap.hh>
11
12namespace Dune {
13 namespace PDELab {
14
17 template<typename GV, typename D, typename R, std::size_t k>
19 : public SimpleLocalFiniteElementMap<Dune::LagrangeCubeLocalFiniteElement<D,R,GV::dimension,k>,GV::dimension>
20 {
21
22 public:
23
24 static_assert(
25 (k == 1) or (GV::dimension == 2 or GV::dimension == 3),
26 "QkLocalFiniteElementMap with k = 2 is only implemented for d = 2,3"
27 );
28
29 static_assert(
30 k == 1 or k == 2,
31 "QkLocalFiniteElementMap is only implemented for k = 1,2"
32 );
33
34 QkLocalFiniteElementMap(const GV& gv)
35 {}
36
37 static constexpr bool fixedSize()
38 {
39 return true;
40 }
41
42 static constexpr bool hasDOFs(int codim)
43 {
44 switch(k)
45 {
46 case 1:
47 return codim == GV::dimension;
48 case 2:
49 return true;
50 default:
51 return false;
52 }
53 }
54
55 static constexpr std::size_t size(GeometryType gt)
56 {
57 switch (k)
58 {
59 case 1:
60 return gt == GeometryTypes::vertex ? 1 : 0;
61 case 2:
62 // Q1 simply attaches a single DOF to each subentity
63 return 1;
64 default:
65 return 0;
66 }
67 }
68
69 static constexpr std::size_t maxLocalSize()
70 {
71 std::size_t r = 1;
72 for (std::size_t i = 0; i < GV::dimension; ++i)
73 r *= (k + 1);
74 return r;
75 }
76
77 };
78
79 }
80}
81
82#endif // DUNE_PDELAB_FINITEELEMENTMAP_QKFEM_HH
Unique label for each type of entities that can occur in DUNE grids.
Definition: type.hh:114
simple implementation where all entities have the same finite element
Definition: finiteelementmap.hh:101
bool gt(const T &first, const T &second, typename EpsilonType< T >::Type epsilon)
test if first greater than second
Definition: float_cmp.cc:158
constexpr GeometryType vertex
GeometryType representing a vertex.
Definition: type.hh:492
Dune namespace.
Definition: alignedallocator.hh:13
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