3 #ifndef DUNE_FUNCTIONS_FUNCTIONSPACEBASES_BREZZIDOUGLASMARINIBASIS_HH
4 #define DUNE_FUNCTIONS_FUNCTIONSPACEBASES_BREZZIDOUGLASMARINIBASIS_HH
7 #include <dune/common/exceptions.hh>
8 #include <dune/geometry/referenceelements.hh>
10 #include <dune/localfunctions/common/virtualinterface.hh>
11 #include <dune/localfunctions/common/virtualwrappers.hh>
13 #include <dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube2d.hh>
14 #include <dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube3d.hh>
15 #include <dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1simplex2d.hh>
16 #include <dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2cube2d.hh>
17 #include <dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2simplex2d.hh>
29 template<
int dim,
typename D,
typename R, std::
size_t k>
30 struct BDMSimplexLocalInfo
32 static_assert((AlwaysFalse<D>::value),
"The requested type of BDM element is not implemented, sorry!");
35 template<
typename D,
typename R>
36 struct BDMSimplexLocalInfo<2,D,R,1>
38 using FiniteElement = BDM1Simplex2DLocalFiniteElement<D,R>;
39 static const std::size_t Variants = 8;
42 template<
typename D,
typename R>
43 struct BDMSimplexLocalInfo<2,D,R,2>
45 using FiniteElement = BDM2Simplex2DLocalFiniteElement<D,R>;
46 static const std::size_t Variants = 8;
49 template<
int dim,
typename D,
typename R, std::
size_t k>
50 struct BDMCubeLocalInfo
52 static_assert((AlwaysFalse<D>::value),
"The requested type of BDM element is not implemented, sorry!");
55 template<
typename D,
typename R>
56 struct BDMCubeLocalInfo<2,D,R,1>
58 using FiniteElement = BDM1Cube2DLocalFiniteElement<D,R>;
59 static const std::size_t Variants = 16;
62 template<
typename D,
typename R>
63 struct BDMCubeLocalInfo<2,D,R,2>
65 using FiniteElement = BDM2Cube2DLocalFiniteElement<D,R>;
66 static const std::size_t Variants = 16;
69 template<
typename D,
typename R>
70 struct BDMCubeLocalInfo<3,D,R,1>
72 using FiniteElement = BDM1Cube3DLocalFiniteElement<D,R>;
73 static const std::size_t Variants = 64;
76 template<
typename GV,
int dim,
typename R, std::
size_t k>
77 class BDMLocalFiniteElementMap
79 using D =
typename GV::ctype;
80 using CubeFiniteElement =
typename BDMCubeLocalInfo<dim, D, R, k>::FiniteElement;
81 using SimplexFiniteElement =
typename BDMSimplexLocalInfo<dim, D, R, k>::FiniteElement;
85 using T = LocalBasisTraits<D, dim, FieldVector<D,dim>, R, dim, FieldVector<R,dim>, FieldMatrix<D,dim,dim> >;
86 using FiniteElement = LocalFiniteElementVirtualInterface<T>;
88 BDMLocalFiniteElementMap(
const GV& gv)
89 : is_(&(gv.indexSet())), orient_(gv.size(0))
91 cubeVariant_.resize(BDMCubeLocalInfo<dim, D, R, k>::Variants);
92 simplexVariant_.resize(BDMSimplexLocalInfo<dim, D, R, k>::Variants);
95 for (
size_t i = 0; i < cubeVariant_.size(); i++)
96 cubeVariant_[i] = std::make_unique<LocalFiniteElementVirtualImp<CubeFiniteElement> >(CubeFiniteElement(i));
98 for (
size_t i = 0; i < simplexVariant_.size(); i++)
99 simplexVariant_[i] = std::make_unique<LocalFiniteElementVirtualImp<SimplexFiniteElement> >(SimplexFiniteElement(i));
103 for(
const auto& cell : elements(gv))
105 unsigned int myId = is_->index(cell);
108 for (
const auto& intersection : intersections(gv,cell))
110 if (intersection.neighbor() && (is_->index(intersection.outside()) > myId))
111 orient_[myId] |= (1 << intersection.indexInInside());
117 template<
class EntityType>
118 const FiniteElement& find(
const EntityType& e)
const
120 if (e.type().isCube())
121 return *cubeVariant_[orient_[is_->index(e)]];
123 return *simplexVariant_[orient_[is_->index(e)]];
127 std::vector<std::unique_ptr<LocalFiniteElementVirtualImp<CubeFiniteElement> > > cubeVariant_;
128 std::vector<std::unique_ptr<LocalFiniteElementVirtualImp<SimplexFiniteElement> > > simplexVariant_;
129 const typename GV::IndexSet* is_;
130 std::vector<unsigned char> orient_;
148 template<
typename GV,
int k>
149 class BrezziDouglasMariniNode;
151 template<
typename GV,
int k,
class MI>
154 static const int dim = GV::dimension;
155 using FiniteElementMap =
typename Impl::BDMLocalFiniteElementMap<GV, dim, double, k>;
166 using IndexSet = Impl::DefaultNodeIndexSet<BrezziDouglasMariniPreBasis>;
180 if (gv.indexSet().types(0).size() > 1)
181 DUNE_THROW(Dune::NotImplemented,
"Brezzi-Douglas-Marini basis is only implemented for grids with a single element type");
219 [[deprecated(
"Warning: The IndexSet typedef and the makeIndexSet method are deprecated. "\
220 "As a replacement use the indices() method of the PreBasis directly.")]]
234 assert(prefix.size() == 0 || prefix.size() == 1);
235 return (prefix.size() == 0) ?
size() : 0;
248 GeometryType elementType = *(
gridView_.indexSet().types(0).begin());
249 size_t numFaces = ReferenceElements<double,dim>::general(elementType).size(1);
258 template<
typename It>
261 const auto& gridIndexSet =
gridView().indexSet();
262 const auto& element = node.
element();
265 if (not(element.type().isCube()) and not(element.type().isSimplex()))
266 DUNE_THROW(Dune::NotImplemented,
"BrezziDouglasMariniBasis only implemented for cube and simplex elements.");
268 for(std::size_t i=0, end=node.
size(); i<end; ++i, ++it)
270 Dune::LocalKey localKey = node.
finiteElement().localCoefficients().localKey(i);
273 size_t subentity = localKey.subEntity();
274 size_t codim = localKey.codim();
277 dofsPerCodim_[codim] * gridIndexSet.subIndex(element, subentity, codim) + localKey.index() };
293 template<
typename GV,
int k>
297 static const int dim = GV::dimension;
302 using Element =
typename GV::template Codim<0>::Entity;
304 using FiniteElement = Impl::GlobalValuedLocalFiniteElement<Impl::ContravariantPiolaTransformator,
305 typename FiniteElementMap::FiniteElement,
345 namespace BasisFactory {
349 template<std::
size_t k>
350 class BrezziDouglasMariniPreBasisFactory
353 static const std::size_t requiredMultiIndexSize=1;
355 template<
class MultiIndex,
class Gr
idView>
356 auto makePreBasis(
const GridView& gridView)
const
372 template<std::
size_t k>
375 return Imp::BrezziDouglasMariniPreBasisFactory<k>();
393 template<
typename GV,
int k>
auto brezziDouglasMarini()
Create a pre-basis factory that can create a Brezzi-Douglas-Marini pre-basis.
Definition: brezzidouglasmarinibasis.hh:373
Definition: polynomial.hh:10
Definition: brezzidouglasmarinibasis.hh:296
typename GV::template Codim< 0 >::Entity Element
Definition: brezzidouglasmarinibasis.hh:302
const FiniteElementMap * finiteElementMap_
Definition: brezzidouglasmarinibasis.hh:340
const Element & element() const
Return current element, throw if unbound.
Definition: brezzidouglasmarinibasis.hh:314
std::size_t size_type
Definition: brezzidouglasmarinibasis.hh:301
FiniteElement finiteElement_
Definition: brezzidouglasmarinibasis.hh:338
const FiniteElement & finiteElement() const
Return the LocalFiniteElement for the element we are bound to.
Definition: brezzidouglasmarinibasis.hh:323
typename Impl::BDMLocalFiniteElementMap< GV, dim, double, k > FiniteElementMap
Definition: brezzidouglasmarinibasis.hh:303
const Element * element_
Definition: brezzidouglasmarinibasis.hh:339
Impl::GlobalValuedLocalFiniteElement< Impl::ContravariantPiolaTransformator, typename FiniteElementMap::FiniteElement, Element > FiniteElement
Definition: brezzidouglasmarinibasis.hh:306
void bind(const Element &e)
Bind to element.
Definition: brezzidouglasmarinibasis.hh:329
BrezziDouglasMariniNode(const FiniteElementMap *finiteElementMap)
Definition: brezzidouglasmarinibasis.hh:308
Definition: brezzidouglasmarinibasis.hh:153
BrezziDouglasMariniPreBasis(const GridView &gv)
Constructor for a given grid view object.
Definition: brezzidouglasmarinibasis.hh:174
size_type maxNodeSize() const
Definition: brezzidouglasmarinibasis.hh:244
Node makeNode() const
Create tree node.
Definition: brezzidouglasmarinibasis.hh:207
std::array< int, 2 > dofsPerCodim_
Definition: brezzidouglasmarinibasis.hh:288
Impl::DefaultNodeIndexSet< BrezziDouglasMariniPreBasis > IndexSet
Type of created tree node index set.
Definition: brezzidouglasmarinibasis.hh:166
void update(const GridView &gv)
Definition: brezzidouglasmarinibasis.hh:199
Dune::ReservedVector< size_type, 1 > SizePrefix
Definition: brezzidouglasmarinibasis.hh:171
FiniteElementMap finiteElementMap_
Definition: brezzidouglasmarinibasis.hh:286
size_type size() const
Definition: brezzidouglasmarinibasis.hh:226
IndexSet makeIndexSet() const
Create tree node index set.
Definition: brezzidouglasmarinibasis.hh:221
GridView gridView_
Definition: brezzidouglasmarinibasis.hh:284
It indices(const Node &node, It it) const
Maps from subtree index set [0..size-1] to a globally unique multi index in global basis.
Definition: brezzidouglasmarinibasis.hh:259
GV GridView
The grid view that the FE space is defined on.
Definition: brezzidouglasmarinibasis.hh:160
void initializeIndices()
Definition: brezzidouglasmarinibasis.hh:184
std::array< size_t, dim+1 > codimOffset_
Definition: brezzidouglasmarinibasis.hh:285
size_type size(const SizePrefix prefix) const
Return number possible values for next position in multi index.
Definition: brezzidouglasmarinibasis.hh:232
std::size_t size_type
Definition: brezzidouglasmarinibasis.hh:161
size_type dimension() const
Definition: brezzidouglasmarinibasis.hh:239
MI MultiIndex
Type used for global numbering of the basis vectors.
Definition: brezzidouglasmarinibasis.hh:169
const GridView & gridView() const
Obtain the grid view that the basis is defined on.
Definition: brezzidouglasmarinibasis.hh:193
Global basis for given pre-basis.
Definition: defaultglobalbasis.hh:47
size_type size() const
Definition: nodes.hh:140
void setSize(const size_type size)
Definition: nodes.hh:162