DUNE PDELab (2.8)

Dune::PDELab::Pk1dLocalFiniteElementMap< D, R > Class Template Reference

FiniteElementMap for the Pk basis in 1d. More...

#include <dune/pdelab/finiteelementmap/pk1d.hh>

Public Types

typedef LocalFiniteElementMapTraits< LagrangeLocalFiniteElement< EquidistantPointSet, 1, D, R > > Traits
 export type of the signature
 

Public Member Functions

const Traits::FiniteElementTypefind (const EntityType &e) const
 get local basis functions for entity
 

Static Public Member Functions

static constexpr bool hasDOFs (int codim)=delete
 return if FiniteElementMap has degrees of freedom for given codimension
 
static constexpr std::size_t maxLocalSize ()=delete
 compute an upper bound for the local number of DOFs. More...
 
Size calculation

The FiniteElementMap provides different methods to compute the size of the GridFunctionSpace (if possible) without iterating the grid. The approach is as follows (pseudo code):

computeNumberOfDofs(GridView, FEM):
if(FEM.fixedSize()):
sum(FEM.size(gt)*GridView.size(gt) for gt in GeometryTypes)
else
sum(FEM.find(E).basis().size() for E in GridView.entities<0>())
Grid view abstract base class.
Definition: gridview.hh:63
const Traits::FiniteElementType & find(const EntityType &e) const
get local basis functions for entity
Definition: finiteelementmap.hh:116
bool gt(const T &first, const T &second, typename EpsilonType< T >::Type epsilon)
test if first greater than second
Definition: float_cmp.cc:156
static constexpr std::size_t size (GeometryType gt)=delete
 if the FiniteElementMap is fixedSize, the size methods computes the number of DOFs for given GeometryType.
 

Detailed Description

template<class D, class R>
class Dune::PDELab::Pk1dLocalFiniteElementMap< D, R >

FiniteElementMap for the Pk basis in 1d.

Note
k is a runtime variable.
Template Parameters
DType to represent domain.
RType to represent range.

Member Function Documentation

◆ maxLocalSize()

static constexpr std::size_t Dune::PDELab::LocalFiniteElementMapInterface< LocalFiniteElementMapTraits< LagrangeLocalFiniteElement< EquidistantPointSet, 1, D, R > > , SimpleLocalFiniteElementMap< LagrangeLocalFiniteElement< EquidistantPointSet, 1, D, R >, dim_ > >::maxLocalSize ( )
staticconstexprdeleteinherited

compute an upper bound for the local number of DOFs.

this upper bound is used to avoid reallocations in std::vectors used during the assembly.


The documentation for this class was generated from the following file:
  • dune/pdelab/finiteelementmap/pk1d.hh
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