3 #ifndef DUNE_FUNCTIONS_GRIDFUNCTIONS_DISCRETEGLOBALBASISFUNCTIONS_HH
4 #define DUNE_FUNCTIONS_GRIDFUNCTIONS_DISCRETEGLOBALBASISFUNCTIONS_HH
8 #include <dune/common/shared_ptr.hh>
9 #include <dune/common/hybridutilities.hh>
11 #include <dune/typetree/treecontainer.hh>
67 template<
typename B,
typename V,
68 typename NTRE = HierarchicNodeToRangeMap,
69 typename R =
typename V::value_type>
76 using Coefficient = std::decay_t<decltype(std::declval<Vector>()[std::declval<typename Basis::MultiIndex>()])>;
80 using Tree =
typename Basis::LocalView::Tree;
93 using LocalView =
typename Basis::LocalView;
94 using size_type =
typename Tree::size_type;
97 using LocalBasisRange =
typename Node::FiniteElement::Traits::LocalBasisType::Traits::RangeType;
100 using NodeData =
typename std::vector<LocalBasisRange<Node>>;
102 using PerNodeEvaluationBuffer =
typename TypeTree::TreeContainer<NodeData,Tree>;
112 : globalFunction_(&globalFunction)
113 , localView_(globalFunction.
basis().localView())
118 : globalFunction_(other.globalFunction_)
119 , localView_(other.localView_)
120 , bound_(other.bound_)
125 globalFunction_ = other.globalFunction_;
126 localView_ = other.localView_;
127 bound_ = other.bound_;
138 localView_.bind(element);
168 TypeTree::forEachLeafNode(localView_.tree(), [&](
auto&& node,
auto&& treePath) {
169 const auto& dofs = globalFunction_->dofs();
170 const auto& nodeToRangeEntry = globalFunction_->nodeToRangeEntry();
171 const auto& fe = node.finiteElement();
172 const auto& localBasis = fe.localBasis();
173 auto& shapeFunctionValues = evaluationBuffer_[treePath];
175 localBasis.evaluateFunction(x, shapeFunctionValues);
178 auto re = flatVectorView(nodeToRangeEntry(node, treePath, y));
180 for (size_type i = 0; i < localBasis.size(); ++i)
182 const auto& multiIndex = localView_.index(node.localIndex(i));
185 auto c = flatVectorView(dofs[multiIndex]);
188 auto v = flatVectorView(shapeFunctionValues[i]);
194 auto&& dimC = c.size();
195 auto dimV = v.size();
196 assert(dimC*dimV == re.size());
197 for(size_type j=0; j<dimC; ++j)
200 for(size_type k=0; k<dimV; ++k)
201 re[j*dimV + k] += c_j*v[k];
211 return localView_.element();
216 DUNE_THROW(NotImplemented,
"not implemented");
222 LocalView localView_;
223 mutable PerNodeEvaluationBuffer evaluationBuffer_;
227 template<
class B_T,
class V_T,
class NTRE_T>
229 entitySet_(basis.gridView()),
230 basis_(wrap_or_move(std::forward<B_T>(basis))),
231 coefficients_(wrap_or_move(std::forward<V_T>(coefficients))),
232 nodeToRangeEntry_(wrap_or_move(std::forward<NTRE_T>(nodeToRangeEntry)))
235 DiscreteGlobalBasisFunction(std::shared_ptr<const Basis> basis, std::shared_ptr<const V> coefficients, std::shared_ptr<const NodeToRangeEntry> nodeToRangeEntry) :
236 entitySet_(basis->gridView()),
238 coefficients_(coefficients),
239 nodeToRangeEntry_(nodeToRangeEntry)
249 return *coefficients_;
254 return *nodeToRangeEntry_;
260 DUNE_THROW(NotImplemented,
"not implemented");
265 DUNE_THROW(NotImplemented,
"not implemented");
298 EntitySet entitySet_;
299 std::shared_ptr<const Basis> basis_;
300 std::shared_ptr<const V> coefficients_;
301 std::shared_ptr<const NodeToRangeEntry> nodeToRangeEntry_;
316 template<
typename... TT>
321 template<
typename R,
typename B,
typename V>
324 using Basis = std::decay_t<B>;
329 auto toConstVectorBackend = [&](
auto&& v) -> decltype(
auto) {
331 [&](
auto id) -> decltype(
auto) {
332 return std::forward<decltype(v)>(v);
333 }, [&](
auto id) -> decltype(
auto) {
338 using Vector = std::decay_t<decltype(toConstVectorBackend(std::forward<V>(vector)))>;
340 std::forward<B>(basis),
341 toConstVectorBackend(std::forward<V>(vector)),
friend LocalFunction localFunction(const DiscreteGlobalBasisFunction &t)
Construct local function from a DiscreteGlobalBasisFunction.
Definition: discreteglobalbasisfunction.hh:283
void localFunction(DiscreteGlobalBasisFunction< TT... > &&t)=delete
Construction of local functions from a temporary DiscreteGlobalBasisFunction (forbidden)
auto istlVectorBackend(Vector &v)
Return a vector backend wrapping non-const ISTL like containers.
Definition: istlvectorbackend.hh:345
Definition: polynomial.hh:10
auto makeDiscreteGlobalBasisFunction(B &&basis, V &&vector)
Definition: discreteglobalbasisfunction.hh:322
Definition: backends/concepts.hh:21
Default implementation for derivative traits.
Definition: defaultderivativetraits.hh:37
A simple node to range map using the nested tree indices.
Definition: hierarchicnodetorangemap.hh:30
A grid function induced by a global basis and a coefficient vector.
Definition: discreteglobalbasisfunction.hh:71
Imp::GridFunctionTraits< Range(Domain), EntitySet, DefaultDerivativeTraits, 16 > Traits
Definition: discreteglobalbasisfunction.hh:89
DiscreteGlobalBasisFunction(B_T &&basis, V_T &&coefficients, NTRE_T &&nodeToRangeEntry)
Definition: discreteglobalbasisfunction.hh:228
friend Traits::DerivativeInterface derivative(const DiscreteGlobalBasisFunction &t)
Definition: discreteglobalbasisfunction.hh:263
const V & dofs() const
Definition: discreteglobalbasisfunction.hh:247
const Basis & basis() const
Definition: discreteglobalbasisfunction.hh:242
const EntitySet & entitySet() const
Get associated EntitySet.
Definition: discreteglobalbasisfunction.hh:291
DiscreteGlobalBasisFunction(std::shared_ptr< const Basis > basis, std::shared_ptr< const V > coefficients, std::shared_ptr< const NodeToRangeEntry > nodeToRangeEntry)
Definition: discreteglobalbasisfunction.hh:235
typename Basis::GridView GridView
Definition: discreteglobalbasisfunction.hh:78
std::decay_t< decltype(std::declval< Vector >()[std::declval< typename Basis::MultiIndex >()])> Coefficient
Definition: discreteglobalbasisfunction.hh:76
GridViewEntitySet< GridView, 0 > EntitySet
Definition: discreteglobalbasisfunction.hh:79
typename EntitySet::LocalCoordinate LocalDomain
Definition: discreteglobalbasisfunction.hh:86
typename EntitySet::Element Element
Definition: discreteglobalbasisfunction.hh:87
B Basis
Definition: discreteglobalbasisfunction.hh:73
typename EntitySet::GlobalCoordinate Domain
Definition: discreteglobalbasisfunction.hh:83
R Range
Definition: discreteglobalbasisfunction.hh:84
V Vector
Definition: discreteglobalbasisfunction.hh:74
typename Basis::LocalView::Tree Tree
Definition: discreteglobalbasisfunction.hh:80
NTRE NodeToRangeEntry
Definition: discreteglobalbasisfunction.hh:81
const NodeToRangeEntry & nodeToRangeEntry() const
Definition: discreteglobalbasisfunction.hh:252
Definition: discreteglobalbasisfunction.hh:92
GlobalFunction::Element Element
Definition: discreteglobalbasisfunction.hh:109
void bind(const Element &element)
Bind LocalFunction to grid element.
Definition: discreteglobalbasisfunction.hh:136
bool bound() const
Check if LocalFunction is already bound to an element.
Definition: discreteglobalbasisfunction.hh:151
LocalDomain Domain
Definition: discreteglobalbasisfunction.hh:107
const Element & localContext() const
Definition: discreteglobalbasisfunction.hh:209
GlobalFunction::Range Range
Definition: discreteglobalbasisfunction.hh:108
friend Traits::LocalFunctionTraits::DerivativeInterface derivative(const LocalFunction &t)
Definition: discreteglobalbasisfunction.hh:214
void unbind()
Definition: discreteglobalbasisfunction.hh:142
LocalFunction(const DiscreteGlobalBasisFunction &globalFunction)
Definition: discreteglobalbasisfunction.hh:111
Range operator()(const Domain &x) const
Evaluate LocalFunction at bound element.
Definition: discreteglobalbasisfunction.hh:164
LocalFunction(const LocalFunction &other)
Definition: discreteglobalbasisfunction.hh:117
LocalFunction operator=(const LocalFunction &other)
Definition: discreteglobalbasisfunction.hh:123
Definition: gridfunction.hh:32
GridView::template Codim< codim >::Entity Element
Type of Elements contained in this EntitySet.
Definition: gridviewentityset.hh:32
Element::Geometry::LocalCoordinate LocalCoordinate
Type of local coordinates with respect to the Element.
Definition: gridviewentityset.hh:35
Element::Geometry::GlobalCoordinate GlobalCoordinate
Definition: gridviewentityset.hh:36