4 #ifndef DUNE_PDELAB_FINITELEMENTMAP_HH 5 #define DUNE_PDELAB_FINITELEMENTMAP_HH 7 #include <dune/common/deprecated.hh> 10 #include <dune/geometry/referenceelements.hh> 41 template<
class T,
class Imp>
54 template<
class EntityType>
57 return asImp().find(e);
79 return asImp().fixedSize();
84 std::size_t
size(GeometryType gt)
const 86 return asImp().size();
97 return asImp().maxLocalSize();
101 Imp& asImp () {
return static_cast<Imp &
> (*this);}
102 const Imp& asImp ()
const {
return static_cast<const Imp &
>(*this);}
109 SimpleLocalFiniteElementMap<Imp> >
124 template<
class EntityType>
154 template<
typename GV,
typename FE,
typename Imp>
157 LocalFiniteElementMapTraits<FE>,
161 typedef typename GV::IndexSet IndexSet;
162 static const int dim = GV::dimension;
170 : gv(gv_), orient(gv_.size(0))
172 typedef typename GV::Grid::ctype ct;
174 ReferenceElements<ct, dim>::general(FE().type());
176 auto &idSet = gv.grid().globalIdSet();
179 variant.resize(1 << refElem.size(dim-1));
180 for (
unsigned int i=0; i<variant.size(); i++)
184 auto& indexSet = gv.indexSet();
187 for (
const auto& element : elements(gv))
189 auto elemid = indexSet.index(element);
192 std::vector<typename GV::Grid::GlobalIdSet::IdType> vid(refElem.size(dim));
193 for(
unsigned int i = 0; i < vid.size(); ++i)
194 vid[i] = idSet.subId(element, i, dim);
197 for(
int i = 0; i < refElem.size(dim-1); ++i) {
198 int v0 = refElem.subEntity(i, dim-1, 0, dim);
199 int v1 = refElem.subEntity(i, dim-1, 1, dim);
201 if((v0 > v1) != (vid[v0] > vid[v1]))
202 orient[elemid] |= 1 << i;
208 template<
class EntityType>
211 return variant[orient[gv.indexSet().index(e)]];
216 std::vector<FE> variant;
217 std::vector<unsigned char> orient;
222 template<
typename GV,
typename FE,
typename Imp, std::
size_t Variants>
225 LocalFiniteElementMapTraits<FE>,
228 typedef FE FiniteElement;
229 typedef typename GV::IndexSet IndexSet;
237 : gv(gv_), is(gv_.indexSet()), orient(gv_.size(0))
240 for (std::size_t i = 0; i < Variants; i++)
242 variant[i] = FiniteElement(i);
247 for(
const auto& cell : elements(gv))
249 unsigned int myId = is.index(cell);
252 for (
const auto& intersection : intersections(gv,cell))
254 if (intersection.neighbor()
255 && is.index(intersection.outside()) > myId)
257 orient[myId] |= 1 << intersection.indexInInside();
264 template<
class EntityType>
267 return variant[orient[is.index(e)]];
272 std::array<FiniteElement,Variants> variant;
274 std::vector<unsigned char> orient;
EdgeS0LocalFiniteElementMap(const GV &gv_)
construct EdgeSLocalFiniteElementMap
Definition: finiteelementmap.hh:169
const Traits::FiniteElementType & find(const EntityType &e) const
get local basis functions for entity
Definition: finiteelementmap.hh:125
general FiniteElementMap exception
Definition: finiteelementmap.hh:19
bool fixedSize() const
a FiniteElementMap is fixedSize iif the size of the local functions space for each GeometryType is fi...
Definition: finiteelementmap.hh:77
SimpleLocalFiniteElementMap(const Imp &imp_)
Constructor where an instance of Imp can be provided.
Definition: finiteelementmap.hh:120
Base class for all PDELab exceptions.
Definition: exceptions.hh:17
static const int dim
Definition: adaptivity.hh:83
Definition: adaptivity.hh:27
collect types exported by a finite element map
Definition: finiteelementmap.hh:38
const Traits::FiniteElementType & find(const EntityType &e) const
get local basis functions for entity
Definition: finiteelementmap.hh:265
FiniteElementMap exception raised when trying to obtain a finite element for an unsupported GeometryT...
Definition: finiteelementmap.hh:23
simple implementation where all entities have the same finite element
Definition: finiteelementmap.hh:107
std::size_t size(GeometryType gt) const
if the FiniteElementMap is fixedSize, the size methods computes the number of DOFs for given Geometry...
Definition: finiteelementmap.hh:84
T Traits
Export traits.
Definition: finiteelementmap.hh:46
const Entity & e
Definition: localfunctionspace.hh:111
interface for a finite element map
Definition: finiteelementmap.hh:42
LocalFiniteElementMapTraits< FE > Traits
export type of the signature
Definition: finiteelementmap.hh:166
implementation for finite elements requiring oriented edges
Definition: finiteelementmap.hh:155
FiniteElementMap exception concerning the computation of the FiniteElementMap size.
Definition: finiteelementmap.hh:21
std::size_t maxLocalSize() const
compute an upper bound for the local number of DOFs.
Definition: finiteelementmap.hh:95
LocalFiniteElementMapTraits< Imp > Traits
export type of the signature
Definition: finiteelementmap.hh:113
collect types exported by a finite element map
Definition: finiteelementmap.hh:27
T FiniteElementType
Type of finite element from local functions.
Definition: finiteelementmap.hh:30
Definition: finiteelementmap.hh:223
PDELab-specific exceptions.
const Traits::FiniteElementType & find(const EntityType &e) const
Return local basis for the given entity.
Definition: finiteelementmap.hh:55
SimpleLocalFiniteElementMap()
Use when Imp has a standard constructor.
Definition: finiteelementmap.hh:116
T FiniteElement
Type of finite element from local functions.
Definition: finiteelementmap.hh:33
LocalFiniteElementMapTraits< FE > Traits
export type of the signature
Definition: finiteelementmap.hh:233
RTLocalFiniteElementMap(const GV &gv_)
Use when Imp has a standard constructor.
Definition: finiteelementmap.hh:236
const Traits::FiniteElementType & find(const EntityType &e) const
get local basis functions for entity
Definition: finiteelementmap.hh:209