morleybasis.hh File Reference

This file provides an implementation of the quadratic Morley finite element in 1 to 3 dimensions. More...

#include <algorithm>
#include <type_traits>
#include <vector>
#include <array>
#include <bitset>
#include <dune/common/boundschecking.hh>
#include <dune/common/exceptions.hh>
#include <dune/common/fvector.hh>
#include <dune/grid/common/mcmgmapper.hh>
#include <dune/grid/common/rangegenerators.hh>
#include <dune/localfunctions/common/localbasis.hh>
#include <dune/localfunctions/common/localfiniteelementtraits.hh>
#include <dune/localfunctions/common/localkey.hh>
#include <dune/functions/analyticfunctions/monomialset.hh>
#include <dune/functions/common/densevectorview.hh>
#include <dune/functions/common/squeezetensor.hh>
#include <dune/functions/functionspacebases/cubichermitebasis.hh>
#include <dune/functions/functionspacebases/defaultglobalbasis.hh>
#include <dune/functions/functionspacebases/functionaldescriptor.hh>
#include <dune/functions/functionspacebases/leafprebasismappermixin.hh>
#include <dune/functions/functionspacebases/nodes.hh>
#include <dune/functions/functionspacebases/transformedfiniteelementmixin.hh>

Go to the source code of this file.

Classes
class	Dune::Functions::MorleyNode< GV, R >
class	Dune::Functions::MorleyPreBasis< GV, R >
	A pre-basis for a Morleybasis. More...

Namespaces
namespace	Dune
namespace	Dune::Functions
namespace	Dune::Functions::BasisFactory

Typedefs
template<class GV , class R = double>
using	Dune::Functions::MorleyBasis = DefaultGlobalBasis< MorleyPreBasis< GV, R > >
	Nodal basis of a scalar quadratic Morley finite element space.

Functions
template<class R = double>
auto	Dune::Functions::BasisFactory::morley ()
	construct a PreBasisFactory for the Morley Finite Element

Detailed Description

This file provides an implementation of the quadratic Morley finite element in 1 to 3 dimensions.

The implementation is based on [Robert Kirby, A general approach to transforming finite elements, 2018]. It contains in the following order:

• A GlobalBasis typedef MorleyBasis
• A template H2LocalBasisTraits, extending the dune-localfunctions LocalBasisTraits by an exported Hessiantype
• A template MorleyLocalFiniteElement providing an implementation of the LocalFiniteElement interface, along with its subparts (Impl namespace)
• A template MorleyNode
• A template MorleyPreBasis
• A factory morley() in the BasisFactory namespace