LehrFEM++ 1.0.0
A simple Finite Element Library for teaching
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Public Types | Public Member Functions | List of all members
lf::uscalfe::FeSpaceLagrangeO2< SCALAR > Class Template Reference

Quadratic Lagrangian Finite Element space. More...

#include <lf/uscalfe/uscalfe.h>

Inheritance diagram for lf::uscalfe::FeSpaceLagrangeO2< SCALAR >:
lf::uscalfe::UniformScalarFESpace< SCALAR > lf::fe::ScalarFESpace< SCALAR >

Public Types

using Scalar = SCALAR
 
- Public Types inherited from lf::uscalfe::UniformScalarFESpace< SCALAR >
using Scalar = SCALAR
 
- Public Types inherited from lf::fe::ScalarFESpace< SCALAR >
using Scalar = SCALAR
 

Public Member Functions

 FeSpaceLagrangeO2 ()=delete
 no default constructors
 
 FeSpaceLagrangeO2 (const FeSpaceLagrangeO2 &)=delete
 
 FeSpaceLagrangeO2 (FeSpaceLagrangeO2 &&) noexcept=default
 
FeSpaceLagrangeO2operator= (const FeSpaceLagrangeO2 &)=delete
 
FeSpaceLagrangeO2operator= (FeSpaceLagrangeO2 &&) noexcept=default
 
 FeSpaceLagrangeO2 (const std::shared_ptr< const lf::mesh::Mesh > &mesh_p)
 Main constructor: sets up the local-to-global index mapping (dof handler)
 
 ~FeSpaceLagrangeO2 () override=default
 
- Public Member Functions inherited from lf::uscalfe::UniformScalarFESpace< SCALAR >
 UniformScalarFESpace (const UniformScalarFESpace &)=delete
 
 UniformScalarFESpace (UniformScalarFESpace &&) noexcept=default
 
UniformScalarFESpaceoperator= (const UniformScalarFESpace &)=delete
 
UniformScalarFESpaceoperator= (UniformScalarFESpace &&) noexcept=default
 
 UniformScalarFESpace (std::shared_ptr< const lf::mesh::Mesh > mesh_p, std::shared_ptr< const lf::fe::ScalarReferenceFiniteElement< SCALAR > > rfs_tria_p, std::shared_ptr< const lf::fe::ScalarReferenceFiniteElement< SCALAR > > rfs_quad_p, std::shared_ptr< const lf::fe::ScalarReferenceFiniteElement< SCALAR > > rfs_edge_p=nullptr, std::shared_ptr< const lf::fe::ScalarReferenceFiniteElement< SCALAR > > rfs_point_p=nullptr)
 Main constructor: sets up the local-to-global index mapping (dof handler)
 
std::shared_ptr< const lf::mesh::MeshMesh () const override
 access to underlying mesh
 
const lf::assemble::DofHandlerLocGlobMap () const override
 access to associated local-to-global map
 
lf::fe::ScalarReferenceFiniteElement< SCALAR > const * ShapeFunctionLayout (const lf::mesh::Entity &entity) const override
 access to shape function layout for cells
 
lf::fe::ScalarReferenceFiniteElement< SCALAR > const * ShapeFunctionLayout (lf::base::RefEl ref_el_type) const
 access to shape function layout for cells
 
size_type NumRefShapeFunctions (const lf::mesh::Entity &entity) const override
 number of interior shape functions associated to entities of various types
 
size_type NumRefShapeFunctions (lf::base::RefEl ref_el_type) const
 number of interior shape functions associated to entities of various types
 
 ~UniformScalarFESpace () override=default
 No special destructor.
 
- Public Member Functions inherited from lf::fe::ScalarFESpace< SCALAR >
virtual ~ScalarFESpace ()=default
 No special destructor.
 

Additional Inherited Members

- Protected Member Functions inherited from lf::fe::ScalarFESpace< SCALAR >
 ScalarFESpace ()=default
 default constructor, needed by std::vector
 
 ScalarFESpace (const ScalarFESpace &)=default
 
 ScalarFESpace (ScalarFESpace &&) noexcept=default
 
ScalarFESpaceoperator= (const ScalarFESpace &)=default
 
ScalarFESpaceoperator= (ScalarFESpace &&) noexcept=default
 

Detailed Description

template<typename SCALAR>
class lf::uscalfe::FeSpaceLagrangeO2< SCALAR >

Quadratic Lagrangian Finite Element space.

Just a specialization of UniformScalarFESpace for quadratic Lagrangian finite elements and based on FeLagrangeO2Tria, FeLagrangeO2Quad, FeLagrangeO2Segment and FeLagrangePoint.

For information on quadratic Lagrangian finite elements see Example 2.6.1.2 and Example 2.6.2.7

Definition at line 29 of file fe_space_lagrange_o2.h.

Member Typedef Documentation

◆ Scalar

template<typename SCALAR >
using lf::uscalfe::FeSpaceLagrangeO2< SCALAR >::Scalar = SCALAR

Definition at line 31 of file fe_space_lagrange_o2.h.

Constructor & Destructor Documentation

◆ FeSpaceLagrangeO2() [1/4]

template<typename SCALAR >
lf::uscalfe::FeSpaceLagrangeO2< SCALAR >::FeSpaceLagrangeO2 ( )
delete

no default constructors

◆ FeSpaceLagrangeO2() [2/4]

template<typename SCALAR >
lf::uscalfe::FeSpaceLagrangeO2< SCALAR >::FeSpaceLagrangeO2 ( const FeSpaceLagrangeO2< SCALAR > & )
delete

◆ FeSpaceLagrangeO2() [3/4]

template<typename SCALAR >
lf::uscalfe::FeSpaceLagrangeO2< SCALAR >::FeSpaceLagrangeO2 ( FeSpaceLagrangeO2< SCALAR > && )
defaultnoexcept

◆ FeSpaceLagrangeO2() [4/4]

template<typename SCALAR >
lf::uscalfe::FeSpaceLagrangeO2< SCALAR >::FeSpaceLagrangeO2 ( const std::shared_ptr< const lf::mesh::Mesh > & mesh_p)
inlineexplicit

Main constructor: sets up the local-to-global index mapping (dof handler)

Parameters
mesh_pshared pointer to underlying mesh (immutable)

Definition at line 45 of file fe_space_lagrange_o2.h.

◆ ~FeSpaceLagrangeO2()

template<typename SCALAR >
lf::uscalfe::FeSpaceLagrangeO2< SCALAR >::~FeSpaceLagrangeO2 ( )
overridedefault

Member Function Documentation

◆ operator=() [1/2]

template<typename SCALAR >
FeSpaceLagrangeO2 & lf::uscalfe::FeSpaceLagrangeO2< SCALAR >::operator= ( const FeSpaceLagrangeO2< SCALAR > & )
delete

◆ operator=() [2/2]

template<typename SCALAR >
FeSpaceLagrangeO2 & lf::uscalfe::FeSpaceLagrangeO2< SCALAR >::operator= ( FeSpaceLagrangeO2< SCALAR > && )
defaultnoexcept

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