Local edge contributions to element vector. More...

#include <lf/fe/fe.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 ScalarFESpace< SCALAR > > fe_space, FUNCTOR g, EDGESELECTOR edge_sel=base::PredicateTrue{})
	Constructor. More...

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

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

	~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_

std::shared_ptr< const ScalarFESpace< SCALAR > >	fe_space_

quad::QuadRuleCache	qr_cache_

Detailed Description

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

Local edge contributions to element vector.

Template Parameters

SCALAR	underlying scalar type of the FESpace, 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 based on quadrature rules supplied by the LehrFEM++ lf::quad::make_QuadRule() method.

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

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 701 of file loc_comp_ellbvp.h.

Member Typedef Documentation

◆ ElemVec

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

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

Definition at line 707 of file loc_comp_ellbvp.h.

◆ Scalar

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

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

Definition at line 705 of file loc_comp_ellbvp.h.

Constructor & Destructor Documentation

◆ ScalarLoadEdgeVectorProvider() [1/3]

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

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

delete

◆ ScalarLoadEdgeVectorProvider() [2/3]

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

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

defaultnoexcept

◆ ScalarLoadEdgeVectorProvider() [3/3]

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

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

inline

Constructor.

Parameters

fe_space	ScalarFESpace that supplied the finite elements.
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 730 of file loc_comp_ellbvp.h.

◆ ~ScalarLoadEdgeVectorProvider()

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

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

default

Member Function Documentation

◆ Eval()

template<class SCALAR , class FUNCTOR , class EDGESELECTOR >

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

Definition at line 773 of file loc_comp_ellbvp.h.

References lf::geometry::Geometry::DimLocal(), lf::mesh::Entity::Geometry(), lf::geometry::Geometry::IntegrationElement(), lf::quad::QuadRule::NumPoints(), lf::quad::QuadRule::Points(), lf::mesh::Entity::RefEl(), and lf::quad::QuadRule::Weights().

◆ isActive()

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

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

inline

all edges are active

Definition at line 736 of file loc_comp_ellbvp.h.

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

◆ operator=() [1/2]

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

ScalarLoadEdgeVectorProvider & lf::fe::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::fe::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::fe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::edge_sel_

private

Definition at line 750 of file loc_comp_ellbvp.h.

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

◆ fe_space_

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

std::shared_ptr<const ScalarFESpace<SCALAR> > lf::fe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::fe_space_

private

Definition at line 751 of file loc_comp_ellbvp.h.

◆ g_

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

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

private

Definition at line 749 of file loc_comp_ellbvp.h.

◆ qr_cache_

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

quad::QuadRuleCache lf::fe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::qr_cache_

private

Definition at line 753 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/fe/loc_comp_ellbvp.h

Public Types

Public Member Functions

Private Attributes

Detailed Description

Type requirements

Member Typedef Documentation

◆ ElemVec

◆ Scalar

Constructor & Destructor Documentation

◆ ScalarLoadEdgeVectorProvider() [1/3]

◆ ScalarLoadEdgeVectorProvider() [2/3]

◆ ScalarLoadEdgeVectorProvider() [3/3]

◆ ~ScalarLoadEdgeVectorProvider()

Member Function Documentation

◆ Eval()

◆ isActive()

◆ operator=() [1/2]

◆ operator=() [2/2]

Member Data Documentation

◆ edge_sel_

◆ fe_space_

◆ g_

◆ qr_cache_