lf::fe::ScalarFESpace< SCALAR > Class Template Reference

Space of scalar valued finite element functions on a hybrid 2D mesh More...

#include <lf/fe/fe.h>

Inheritance diagram for lf::fe::ScalarFESpace< SCALAR >:

Public Types
using	Scalar = SCALAR

Public Member Functions
virtual std::shared_ptr< const lf::mesh::Mesh >	Mesh () const =0
	acess to underlying mesh More...
virtual const lf::assemble::DofHandler &	LocGlobMap () const =0
	access to associated local-to-global map More...
virtual ScalarReferenceFiniteElement< SCALAR > const *	ShapeFunctionLayout (const lf::mesh::Entity &entity) const =0
	access to shape function layout for mesh entities More...
virtual size_type	NumRefShapeFunctions (const lf::mesh::Entity &entity) const =0
	number of interior shape functions associated to a particular mesh entity. More...
virtual	~ScalarFESpace ()=default
	No special destructor. More...

Protected Member Functions
	ScalarFESpace ()=default
	default constructor, needed by std::vector More...
	ScalarFESpace (const ScalarFESpace &)=default
	ScalarFESpace (ScalarFESpace &&) noexcept=default
ScalarFESpace &	operator= (const ScalarFESpace &)=default
ScalarFESpace &	operator= (ScalarFESpace &&) noexcept=default

Detailed Description

template<typename SCALAR>
class lf::fe::ScalarFESpace< SCALAR >

Space of scalar valued finite element functions on a hybrid 2D mesh

Template Parameters

SCALAR

underlying scalar type, usually either double or complex<double>

The abstract concept of a (parametric) finite element space involves

• an underlying mesh
• the definition of a local set of shape functions for every cell.

This class just contains (pointers to) objects representing the various building blocks of a finite element space. It does not offer elaborate methods.

Note

Some of the pointers may be NULL. For instance, if all computations are done on purely triangular meshes then a finite element specification for quadrilaterals need not be given.

This class is covered in Paragraph 2.8.3.28.

Definition at line 45 of file scalar_fe_space.h.

Member Typedef Documentation

Scalar

template<typename SCALAR >

using lf::fe::ScalarFESpace< SCALAR >::Scalar = SCALAR

Definition at line 47 of file scalar_fe_space.h.

Constructor & Destructor Documentation

ScalarFESpace() [1/3]

template<typename SCALAR >

lf::fe::ScalarFESpace< SCALAR >::ScalarFESpace ( )

protecteddefault

default constructor, needed by std::vector

Note

creates an invalid object that cannot be used.

ScalarFESpace() [2/3]

template<typename SCALAR >

lf::fe::ScalarFESpace< SCALAR >::ScalarFESpace ( const ScalarFESpace< SCALAR > &  )

protecteddefault

ScalarFESpace() [3/3]

template<typename SCALAR >

lf::fe::ScalarFESpace< SCALAR >::ScalarFESpace ( ScalarFESpace< SCALAR > &&  )

protecteddefaultnoexcept

~ScalarFESpace()

template<typename SCALAR >

virtual lf::fe::ScalarFESpace< SCALAR >::~ScalarFESpace ( )

virtualdefault

No special destructor.

Member Function Documentation

LocGlobMap()

template<typename SCALAR >

virtual const lf::assemble::DofHandler & lf::fe::ScalarFESpace< SCALAR >::LocGlobMap ( ) const

pure virtual

access to associated local-to-global map

Returns

a reference to the lf::assemble::DofHandler object (immutable)

Implemented in lf::fe::HierarchicScalarFESpace< SCALAR >, and lf::uscalfe::UniformScalarFESpace< SCALAR >.

Referenced by lf::fe::InitEssentialConditionFromFunction().

Mesh()

template<typename SCALAR >

virtual std::shared_ptr< const lf::mesh::Mesh > lf::fe::ScalarFESpace< SCALAR >::Mesh ( ) const

pure virtual

acess to underlying mesh

Returns

a shared pointer to the mesh

Implemented in lf::fe::HierarchicScalarFESpace< SCALAR >, and lf::uscalfe::UniformScalarFESpace< SCALAR >.

Referenced by lf::fe::InitEssentialConditionFromFunction().

NumRefShapeFunctions()

template<typename SCALAR >

virtual size_type lf::fe::ScalarFESpace< SCALAR >::NumRefShapeFunctions ( const lf::mesh::Entity &  entity ) const

pure virtual

number of interior shape functions associated to a particular mesh entity.

Parameters

entity

mesh entity to be queried

Returns

number of interior shape functions

Implemented in lf::fe::HierarchicScalarFESpace< SCALAR >, and lf::uscalfe::UniformScalarFESpace< SCALAR >.

operator=() [1/2]

template<typename SCALAR >

ScalarFESpace & lf::fe::ScalarFESpace< SCALAR >::operator= ( const ScalarFESpace< SCALAR > &  )

protecteddefault

operator=() [2/2]

template<typename SCALAR >

ScalarFESpace & lf::fe::ScalarFESpace< SCALAR >::operator= ( ScalarFESpace< SCALAR > &&  )

protecteddefaultnoexcept

ShapeFunctionLayout()

template<typename SCALAR >

virtual ScalarReferenceFiniteElement< SCALAR > const * lf::fe::ScalarFESpace< SCALAR >::ShapeFunctionLayout ( const lf::mesh::Entity &  entity ) const

pure virtual

access to shape function layout for mesh entities

Parameters

entity

The entity to get the reference element for

Warning

NULL pointers may be returned by this method in case a finite element specification was not given for a particular topological type of entity.

Note

The returned ShapeFunctionLayout pointer will remain for the entire lifetime of the owning ScalarFESpace.

See also

ScalarReferenceFiniteElement

Implemented in lf::fe::HierarchicScalarFESpace< SCALAR >, and lf::uscalfe::UniformScalarFESpace< SCALAR >.

Referenced by lf::fe::InitEssentialConditionFromFunction().

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

• /home/nico/bildung/SemVI/thesis/lehrfempp/lib/lf/fe/scalar_fe_space.h