Local edge contributions to element vector. More...

#include <lf/uscalfe/uscalfe.h>

Public Types
using	Scalar = decltype(SCALAR(0) *mesh::utils::MeshFunctionReturnType< FUNCTOR >(0))

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. More...

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

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

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<class SCALAR, class 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:39

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

Definition at line 779 of file loc_comp_ellbvp.h.

Member Typedef Documentation

◆ ElemVec

template<class SCALAR , class FUNCTOR , class EDGESELECTOR = base::PredicateTrue>

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

Definition at line 785 of file loc_comp_ellbvp.h.

◆ Scalar

template<class SCALAR , class FUNCTOR , class EDGESELECTOR = base::PredicateTrue>

using lf::uscalfe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::Scalar = decltype(SCALAR(0) * mesh::utils::MeshFunctionReturnType<FUNCTOR>(0))

Definition at line 783 of file loc_comp_ellbvp.h.

Constructor & Destructor Documentation

◆ ScalarLoadEdgeVectorProvider() [1/4]

template<class SCALAR , class FUNCTOR , class EDGESELECTOR = base::PredicateTrue>

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

delete

◆ ScalarLoadEdgeVectorProvider() [2/4]

template<class SCALAR , class FUNCTOR , class EDGESELECTOR = base::PredicateTrue>

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

defaultnoexcept

◆ ScalarLoadEdgeVectorProvider() [3/4]

template<class SCALAR , class 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 808 of file loc_comp_ellbvp.h.

◆ ScalarLoadEdgeVectorProvider() [4/4]

template<class SCALAR , class 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 827 of file loc_comp_ellbvp.h.

◆ ~ScalarLoadEdgeVectorProvider()

template<class SCALAR , class FUNCTOR , class EDGESELECTOR = base::PredicateTrue>

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

virtualdefault

Member Function Documentation

◆ Eval()

template<class SCALAR , class FUNCTOR , class EDGESELECTOR >

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

Definition at line 878 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<class SCALAR , class 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 841 of file loc_comp_ellbvp.h.

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

◆ operator=() [1/2]

template<class SCALAR , class FUNCTOR , class EDGESELECTOR = base::PredicateTrue>

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

delete

◆ operator=() [2/2]

template<class SCALAR , class FUNCTOR , class EDGESELECTOR = base::PredicateTrue>

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

delete

Member Data Documentation

◆ edge_sel_

template<class SCALAR , class FUNCTOR , class EDGESELECTOR = base::PredicateTrue>

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

private

Definition at line 857 of file loc_comp_ellbvp.h.

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

◆ g_

template<class SCALAR , class FUNCTOR , class EDGESELECTOR = base::PredicateTrue>

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

private

Definition at line 856 of file loc_comp_ellbvp.h.

◆ pfe_

template<class SCALAR , class FUNCTOR , class EDGESELECTOR = base::PredicateTrue>

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

private

Definition at line 858 of file loc_comp_ellbvp.h.

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

/home/nico/bildung/SemVI/thesis/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_