dune-functions
2.7.0
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A pre-basis for a PQ-lagrange bases with given order. More...
#include <dune/functions/functionspacebases/lagrangebasis.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 = LagrangeNode< GV, k, R > |
Template mapping root tree path to type of created tree node. More... | |
using | IndexSet = LagrangeNodeIndexSet< GV, k, MI, R > |
Template mapping root tree path to 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 | |
LagrangePreBasis (const GridView &gv) | |
Constructor for a given grid view object with compile-time order. More... | |
LagrangePreBasis (const GridView &gv, unsigned int order) | |
Constructor for a given grid view object and run-time 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, 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... | |
Protected Member Functions | |
unsigned int | order () const |
size_type | dofsPerSimplex (std::size_t simplexDim) const |
Number of degrees of freedom assigned to a simplex (without the ones assigned to its faces!) More... | |
size_type | dofsPerCube (std::size_t cubeDim) const |
Number of degrees of freedom assigned to a cube (without the ones assigned to its faces!) More... | |
size_type | dofsPerPrism () const |
size_type | dofsPerPyramid () const |
size_type | computeDofsPerSimplex (std::size_t simplexDim) const |
Number of degrees of freedom assigned to a simplex (without the ones assigned to its faces!) More... | |
size_type | computeDofsPerCube (std::size_t cubeDim) const |
Number of degrees of freedom assigned to a cube (without the ones assigned to its faces!) More... | |
size_type | computeDofsPerPrism () const |
size_type | computeDofsPerPyramid () const |
Protected Attributes | |
GridView | gridView_ |
const unsigned int | order_ |
std::array< size_type, dim+1 > | dofsPerSimplex_ |
std::array< size_type, dim+1 > | dofsPerCube_ |
size_type | dofsPerPrism_ |
size_type | dofsPerPyramid_ |
size_type | vertexOffset_ |
size_type | edgeOffset_ |
size_type | triangleOffset_ |
size_type | quadrilateralOffset_ |
size_type | tetrahedronOffset_ |
size_type | pyramidOffset_ |
size_type | prismOffset_ |
size_type | hexahedronOffset_ |
A pre-basis for a PQ-lagrange bases with given order.
GV | The grid view that the FE basis is defined on |
k | The polynomial order of ansatz functions; -1 means 'order determined at run-time' |
MI | Type to be used for multi-indices |
R | Range type used for shape function values |
using Dune::Functions::LagrangePreBasis< GV, k, MI, R >::GridView = GV |
The grid view that the FE basis is defined on.
using Dune::Functions::LagrangePreBasis< GV, k, MI, R >::IndexSet = LagrangeNodeIndexSet<GV, k, MI, R> |
Template mapping root tree path to type of created tree node index set.
using Dune::Functions::LagrangePreBasis< GV, k, MI, R >::MultiIndex = MI |
Type used for global numbering of the basis vectors.
using Dune::Functions::LagrangePreBasis< GV, k, MI, R >::Node = LagrangeNode<GV, k, R> |
Template mapping root tree path to type of created tree node.
using Dune::Functions::LagrangePreBasis< GV, k, MI, R >::size_type = std::size_t |
Type used for indices and size information.
using Dune::Functions::LagrangePreBasis< 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 compile-time order.
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Constructor for a given grid view object and run-time order.
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Number of degrees of freedom assigned to a cube (without the ones assigned to its faces!)
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Number of degrees of freedom assigned to a simplex (without the ones assigned to its faces!)
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Get the total dimension of the space spanned by this basis.
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Number of degrees of freedom assigned to a cube (without the ones assigned to its faces!)
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Number of degrees of freedom assigned to a simplex (without the ones assigned to its faces!)
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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.
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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, to be called if the grid has changed.
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