dune-functions 2.8.0
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A pre-basis for a hierarchical basis. More...
#include <dune/functions/functionspacebases/hierarchicallagrangebasis.hh>
Public Types | |
using | GridView = GV |
The grid view that the FE basis is defined on. More... | |
using | size_type = std::size_t |
Type used for indices and size information. More... | |
using | Node = HierarchicalLagrangeNode< GV, k, R > |
Template mapping root tree path to type of created tree node. More... | |
using | IndexSet = Impl::DefaultNodeIndexSet< HierarchicalLagrangePreBasis > |
Type of created tree node index set. More... | |
using | MultiIndex = MI |
Type used for global numbering of the basis vectors. More... | |
using | SizePrefix = Dune::ReservedVector< size_type, 1 > |
Type used for prefixes handed to the size() method. More... | |
Public Member Functions | |
HierarchicalLagrangePreBasis (const GridView &gv) | |
Constructor for a given grid view object with layout for second order. More... | |
void | initializeIndices () |
Initialize the global indices. More... | |
const GridView & | gridView () const |
Obtain the grid view that the basis is defined on. More... | |
void | update (const GridView &gv) |
Update the stored grid view & MultipleCodimMultipleGeomTypeMapper , to be called if the grid has changed. More... | |
Node | makeNode () const |
Create tree node. More... | |
IndexSet | makeIndexSet () const |
Create tree node index set. More... | |
size_type | size () const |
Same as size(prefix) with empty prefix. More... | |
size_type | size (const SizePrefix prefix) const |
Return number of possible values for next position in multi index. More... | |
size_type | dimension () const |
Get the total dimension of the space spanned by this basis. More... | |
size_type | maxNodeSize () const |
Get the maximal number of DOFs associated to node for any element. More... | |
template<typename It > | |
It | indices (const Node &node, It it) const |
Protected Member Functions | |
unsigned int | order () const |
Protected Attributes | |
GridView | gridView_ |
MultipleCodimMultipleGeomTypeMapper< GridView > | mcmgMapper_ |
A pre-basis for a hierarchical basis.
GV | The grid view that the FE basis is defined on |
k | The polynomial order of ansatz functions (limited to second order till now) |
MI | Type to be used for multi-indices |
R | Range type used for shape function values |
using Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::GridView = GV |
The grid view that the FE basis is defined on.
using Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::IndexSet = Impl::DefaultNodeIndexSet<HierarchicalLagrangePreBasis> |
Type of created tree node index set.
using Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::MultiIndex = MI |
Type used for global numbering of the basis vectors.
using Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::Node = HierarchicalLagrangeNode<GV, k, R> |
Template mapping root tree path to type of created tree node.
using Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::size_type = std::size_t |
Type used for indices and size information.
using Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::SizePrefix = Dune::ReservedVector<size_type, 1> |
Type used for prefixes handed to the size() method.
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Constructor for a given grid view object with layout for second order.
(adjust for higher-orders)
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Get the total dimension of the space spanned by this basis.
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Obtain the grid view that the basis is defined on.
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Initialize the global indices.
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Create tree node index set.
Create an index set suitable for the tree node obtained by makeNode().
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Create tree node.
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Get the maximal number of DOFs associated to node for any element.
See https://en.wikipedia.org/wiki/Figurate_number for an explanation of the formula
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Same as size(prefix) with empty prefix.
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Return number of possible values for next position in multi index.
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Update the stored grid view & MultipleCodimMultipleGeomTypeMapper
, to be called if the grid has changed.
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