Dune-Functions 2.11
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Public Types | Public Member Functions | Static Public Member Functions | Static Public Attributes | Protected Attributes | List of all members
Dune::Functions::RefinedLagrangePreBasis< GV, k, R > Class Template Reference
Function space bases » Function space basis implementations

A pre-basis for a refined Lagrange bases. More...

#include <dune/functions/functionspacebases/refinedlagrangebasis.hh>

Inheritance diagram for Dune::Functions::RefinedLagrangePreBasis< GV, k, R >:
Inheritance graph

Public Types

using GridView = GV
 The grid view that the FE basis is defined on.
 
using Node = RefinedLagrangeNode< GV, k, R >
 Type of the refined Lagrange tree node.
 
using size_type = std::size_t
 Type used for index digits.
 

Public Member Functions

 RefinedLagrangePreBasis (const GridView &gv)
 Constructor for a given grid view object.
 
Node makeNode () const
 Create tree node.
 
void initializeIndices ()
 Initialize the global index information.
 
const GridView & gridView () const
 Export the stored GridView.
 
void update (const GridView &gv)
 Update the stored GridView.
 
size_type dimension () const
 Return total number of basis functions.
 
size_type maxNodeSize () const
 Return maximal number of basis functions per element.
 
template<class Node , class It >
It indices (const Node &node, It it) const
 Fill cache with global indices of DOFs associated to the given bound node.
 
size_type size (const SizePrefix &prefix) const
 Return number of possible values for next position in multi index.
 
size_type size () const
 Get the total dimension of the space spanned by this basis.
 
auto containerDescriptor () const
 Return a flat container-descriptor.
 

Static Public Member Functions

static constexpr unsigned int order ()
 Polynomial order used in the local Lagrange finite-elements.
 

Static Public Attributes

static constexpr size_type maxMultiIndexSize
 Maximal length of global multi-indices.
 
static constexpr size_type minMultiIndexSize
 Minimal length of global multi-indices.
 
static constexpr size_type multiIndexBufferSize
 Size required temporarily when constructing global multi-indices.
 

Protected Attributes

GridView gridView_
 
Dune::MultipleCodimMultipleGeomTypeMapper< GridView > mapper_
 
std::size_t maxNodeSize_
 

Detailed Description

template<typename GV, int k, typename R = double>
class Dune::Functions::RefinedLagrangePreBasis< GV, k, R >

A pre-basis for a refined Lagrange bases.

Template Parameters
GVThe grid view that the FE basis is defined on
kThe polynomial order of ansatz functions
RRange field-type used for shape function values
Note
This only works for simplex grids.

Member Typedef Documentation

◆ GridView

template<typename GV , int k, typename R = double>
using Dune::Functions::RefinedLagrangePreBasis< GV, k, R >::GridView = GV

The grid view that the FE basis is defined on.

◆ Node

template<typename GV , int k, typename R = double>
using Dune::Functions::RefinedLagrangePreBasis< GV, k, R >::Node = RefinedLagrangeNode<GV, k, R>

Type of the refined Lagrange tree node.

◆ size_type

template<typename GV >
using Dune::Functions::LeafPreBasisMapperMixin< GV >::size_type = std::size_t
inherited

Type used for index digits.

Constructor & Destructor Documentation

◆ RefinedLagrangePreBasis()

template<typename GV , int k, typename R = double>
Dune::Functions::RefinedLagrangePreBasis< GV, k, R >::RefinedLagrangePreBasis ( const GridView &  gv)
inline

Constructor for a given grid view object.

Parameters
gvThe GridView the basis is defined on.
Exceptions
Dune::NotImplementedIf an element of type !simplex is found.

Member Function Documentation

◆ containerDescriptor()

auto Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::containerDescriptor ( ) const
inlineinherited

Return a flat container-descriptor.

◆ dimension()

template<typename GV >
size_type Dune::Functions::LeafPreBasisMapperMixin< GV >::dimension ( ) const
inlineinherited

Return total number of basis functions.

◆ gridView()

template<typename GV >
const GridView & Dune::Functions::LeafPreBasisMapperMixin< GV >::gridView ( ) const
inlineinherited

Export the stored GridView.

◆ indices()

template<typename GV >
template<class Node , class It >
It Dune::Functions::LeafPreBasisMapperMixin< GV >::indices ( const Node &  node,
It  it 
) const
inlineinherited

Fill cache with global indices of DOFs associated to the given bound node.

◆ initializeIndices()

template<typename GV >
void Dune::Functions::LeafPreBasisMapperMixin< GV >::initializeIndices ( )
inlineinherited

Initialize the global index information.

◆ makeNode()

template<typename GV , int k, typename R = double>
Node Dune::Functions::RefinedLagrangePreBasis< GV, k, R >::makeNode ( ) const
inline

Create tree node.

◆ maxNodeSize()

template<typename GV >
size_type Dune::Functions::LeafPreBasisMapperMixin< GV >::maxNodeSize ( ) const
inlineinherited

Return maximal number of basis functions per element.

◆ order()

template<typename GV , int k, typename R = double>
static constexpr unsigned int Dune::Functions::RefinedLagrangePreBasis< GV, k, R >::order ( )
inlinestaticconstexpr

Polynomial order used in the local Lagrange finite-elements.

Note
The local function is of order k only in subdomains of the element. It might be necessary to use a subdivided quadrature rule for integration.

◆ size() [1/2]

size_type Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::size ( ) const
inlineinherited

Get the total dimension of the space spanned by this basis.

◆ size() [2/2]

size_type Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::size ( const SizePrefix &  prefix) const
inlineinherited

Return number of possible values for next position in multi index.

◆ update()

template<typename GV >
void Dune::Functions::LeafPreBasisMapperMixin< GV >::update ( const GridView &  gv)
inlineinherited

Update the stored GridView.

Member Data Documentation

◆ gridView_

template<typename GV >
GridView Dune::Functions::LeafPreBasisMapperMixin< GV >::gridView_
protectedinherited

◆ mapper_

template<typename GV >
Dune::MultipleCodimMultipleGeomTypeMapper<GridView> Dune::Functions::LeafPreBasisMapperMixin< GV >::mapper_
protectedinherited

◆ maxMultiIndexSize

constexpr size_type Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::maxMultiIndexSize
staticconstexprinherited

Maximal length of global multi-indices.

◆ maxNodeSize_

template<typename GV >
std::size_t Dune::Functions::LeafPreBasisMapperMixin< GV >::maxNodeSize_
protectedinherited

◆ minMultiIndexSize

constexpr size_type Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::minMultiIndexSize
staticconstexprinherited

Minimal length of global multi-indices.

◆ multiIndexBufferSize

constexpr size_type Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::multiIndexBufferSize
staticconstexprinherited

Size required temporarily when constructing global multi-indices.

The documentation for this class was generated from the following file: