Local edge contributions to element vector. More...

#include <lf/uscalfe/uscalfe.h>

Public Types
using	Scalar

using	ElemVec = Eigen::Matrix<Scalar, Eigen::Dynamic, 1>

Public Member Functions
	ScalarLoadEdgeVectorProvider (std::shared_ptr< const UniformScalarFESpace< SCALAR > > fe_space, FUNCTOR g, EDGESELECTOR edge_sel=base::PredicateTrue{})
	Constructor, performs precomputations.

	ScalarLoadEdgeVectorProvider (std::shared_ptr< const UniformScalarFESpace< SCALAR > > fe_space, FUNCTOR g, lf::quad::QuadRule quadrule, EDGESELECTOR edge_sel=base::PredicateTrue{})
	Constructor, performs precomputations.

virtual bool	isActive (const lf::mesh::Entity &cell)
	Default implement: all edges are active.

ElemVec	Eval (const lf::mesh::Entity &edge)

virtual	~ScalarLoadEdgeVectorProvider ()=default

standard constructors
	ScalarLoadEdgeVectorProvider (const ScalarLoadEdgeVectorProvider &)=delete

	ScalarLoadEdgeVectorProvider (ScalarLoadEdgeVectorProvider &&) noexcept=default

ScalarLoadEdgeVectorProvider &	operator= (const ScalarLoadEdgeVectorProvider &)=delete

ScalarLoadEdgeVectorProvider &	operator= (ScalarLoadEdgeVectorProvider &&)=delete

Private Attributes
FUNCTOR	g_

EDGESELECTOR	edge_sel_

PrecomputedScalarReferenceFiniteElement< SCALAR >	pfe_

Detailed Description

template<base::Scalar SCALAR, mesh::utils::MeshFunction FUNCTOR, class EDGESELECTOR = base::PredicateTrue>
class lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >

Local edge contributions to element vector.

Template Parameters

SCALAR	underlying scalar type, usually double or complex<double>
FUNCTOR	`SCALAR` valued MeshFunction which defines the function \( g \)
EDGESELECTOR	selector type for active edges

The underlying local linear form for an edge \(e\) is

\[ v \mapsto \int_e g(\mathbf{x})\, \overline{v(\mathbf{x})}\,\mathrm{d}S\mathbf{x}\;, \]

where \(g\) is supposed to be a locally continuous source function.

Computations are either based on a quadrature rules supplied by the LehrFEM++ lf::quad::QuadRule module or on a user-supplied quadrature rule.

This class complies with the requirements for the template parameter ELEM_VEC_COMP of the function AssembleVectorLocally().

Logger

This class logs additional information to ScalarLoadEdgeVectorProvider(). See Loggers and Debug output for more information.

Type requirements

The EDGESELECTOR type must provide
bool operator(const lf::mesh::Entity &edge) const

lf::mesh::Entity
Interface class representing a topological entity in a cellular complex
Definition entity.h:42

which returns true, if the edge is to be included in assembly.

Definition at line 786 of file loc_comp_ellbvp.h.

Member Typedef Documentation

◆ ElemVec

template<base::Scalar SCALAR, mesh::utils::MeshFunction FUNCTOR, class EDGESELECTOR = base::PredicateTrue>

using lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::ElemVec = Eigen::Matrix<Scalar, Eigen::Dynamic, 1>

Definition at line 791 of file loc_comp_ellbvp.h.

◆ Scalar

template<base::Scalar SCALAR, mesh::utils::MeshFunction FUNCTOR, class EDGESELECTOR = base::PredicateTrue>

using lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::Scalar

Initial value:

 
      decltype(static_cast<SCALAR>(0) *
               static_cast<mesh::utils::MeshFunctionReturnType<FUNCTOR>>(0))

Definition at line 788 of file loc_comp_ellbvp.h.

Constructor & Destructor Documentation

◆ ScalarLoadEdgeVectorProvider() [1/4]

template<base::Scalar SCALAR, mesh::utils::MeshFunction FUNCTOR, class EDGESELECTOR = base::PredicateTrue>

lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::ScalarLoadEdgeVectorProvider ( const ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR > & )

delete

◆ ScalarLoadEdgeVectorProvider() [2/4]

template<base::Scalar SCALAR, mesh::utils::MeshFunction FUNCTOR, class EDGESELECTOR = base::PredicateTrue>

lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::ScalarLoadEdgeVectorProvider ( ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR > && )

defaultnoexcept

◆ ScalarLoadEdgeVectorProvider() [3/4]

template<base::Scalar SCALAR, mesh::utils::MeshFunction FUNCTOR, class EDGESELECTOR = base::PredicateTrue>

lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::ScalarLoadEdgeVectorProvider	(	std::shared_ptr< const UniformScalarFESpace< SCALAR > >	fe_space,
		FUNCTOR	g,
		EDGESELECTOR	edge_sel = base::PredicateTrue{} )

inline

Constructor, performs precomputations.

Parameters

fe_space	UniformScalarFESpace which describes the shape functions.
g	functor object providing edge data
edge_sel	selector predicate for active edges.

This constructor selects one of LehrFEM++'s built-in quadrature rules with a degree of exactness twice as big as the polynomial degree of the finite element space.

Definition at line 814 of file loc_comp_ellbvp.h.

◆ ScalarLoadEdgeVectorProvider() [4/4]

template<base::Scalar SCALAR, mesh::utils::MeshFunction FUNCTOR, class EDGESELECTOR = base::PredicateTrue>

lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::ScalarLoadEdgeVectorProvider	(	std::shared_ptr< const UniformScalarFESpace< SCALAR > >	fe_space,
		FUNCTOR	g,
		lf::quad::QuadRule	quadrule,
		EDGESELECTOR	edge_sel = base::PredicateTrue{} )

inline

Constructor, performs precomputations.

Parameters

fe_space	UniformScalarFESpace which describes the shape functions.
g	functor object providing edge data
quadrule	user-supplied quadrature rule object
edge_sel	selector predicate for active edges.

Definition at line 833 of file loc_comp_ellbvp.h.

◆ ~ScalarLoadEdgeVectorProvider()

template<base::Scalar SCALAR, mesh::utils::MeshFunction FUNCTOR, class EDGESELECTOR = base::PredicateTrue>

virtual lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::~ScalarLoadEdgeVectorProvider ( )

virtualdefault

Member Function Documentation

◆ Eval()

template<base::Scalar SCALAR, mesh::utils::MeshFunction FUNCTOR, class EDGESELECTOR >

ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::ElemVec lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::Eval ( const lf::mesh::Entity & edge )

Definition at line 885 of file loc_comp_ellbvp.h.

References lf::mesh::Entity::Geometry(), lf::geometry::Geometry::Global(), lf::geometry::Geometry::IntegrationElement(), lf::base::RefEl::kSegment(), and lf::mesh::Entity::RefEl().

◆ isActive()

template<base::Scalar SCALAR, mesh::utils::MeshFunction FUNCTOR, class EDGESELECTOR = base::PredicateTrue>

virtual bool lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::isActive ( const lf::mesh::Entity & cell )

inlinevirtual

Default implement: all edges are active.

Definition at line 847 of file loc_comp_ellbvp.h.

References lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::edge_sel_.

◆ operator=() [1/2]

template<base::Scalar SCALAR, mesh::utils::MeshFunction FUNCTOR, class EDGESELECTOR = base::PredicateTrue>

ScalarLoadEdgeVectorProvider & lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::operator= ( const ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR > & )

delete

◆ operator=() [2/2]

template<base::Scalar SCALAR, mesh::utils::MeshFunction FUNCTOR, class EDGESELECTOR = base::PredicateTrue>

ScalarLoadEdgeVectorProvider & lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::operator= ( ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR > && )

delete

Member Data Documentation

◆ edge_sel_

template<base::Scalar SCALAR, mesh::utils::MeshFunction FUNCTOR, class EDGESELECTOR = base::PredicateTrue>

EDGESELECTOR lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::edge_sel_

private

Definition at line 863 of file loc_comp_ellbvp.h.

Referenced by lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::isActive().

◆ g_

template<base::Scalar SCALAR, mesh::utils::MeshFunction FUNCTOR, class EDGESELECTOR = base::PredicateTrue>

FUNCTOR lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::g_

private

Definition at line 862 of file loc_comp_ellbvp.h.

◆ pfe_

template<base::Scalar SCALAR, mesh::utils::MeshFunction FUNCTOR, class EDGESELECTOR = base::PredicateTrue>

PrecomputedScalarReferenceFiniteElement<SCALAR> lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::pfe_

private

Definition at line 864 of file loc_comp_ellbvp.h.

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

/__w/lehrfempp/lehrfempp/lib/lf/uscalfe/loc_comp_ellbvp.h

Public Types

Public Member Functions

Private Attributes

Detailed Description

Logger

Type requirements

Member Typedef Documentation

◆ ElemVec

◆ Scalar

Constructor & Destructor Documentation

◆ ScalarLoadEdgeVectorProvider() [1/4]

◆ ScalarLoadEdgeVectorProvider() [2/4]

◆ ScalarLoadEdgeVectorProvider() [3/4]

◆ ScalarLoadEdgeVectorProvider() [4/4]

◆ ~ScalarLoadEdgeVectorProvider()

Member Function Documentation

◆ Eval()

◆ isActive()

◆ operator=() [1/2]

◆ operator=() [2/2]

Member Data Documentation

◆ edge_sel_

◆ g_

◆ pfe_