lf::fe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR > Class Template Reference

Local edge contributions to element vector. More...

#include <lf/fe/fe.h>

Public Types
using	Scalar
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.
bool	isActive (const lf::mesh::Entity &cell) const
	all edges are active
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<base::Scalar SCALAR, mesh::utils::MeshFunction 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 ScalarFESpace, 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

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

Definition at line 730 of file loc_comp_ellbvp.h.

Member Typedef Documentation

ElemVec

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

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

Definition at line 734 of file loc_comp_ellbvp.h.

Scalar

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

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

Initial value:

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

Definition at line 732 of file loc_comp_ellbvp.h.

Constructor & Destructor Documentation

ScalarLoadEdgeVectorProvider() [1/3]

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

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

delete

References ScalarLoadEdgeVectorProvider().

Referenced by operator=(), operator=(), ScalarLoadEdgeVectorProvider(), ScalarLoadEdgeVectorProvider(), and ScalarLoadEdgeVectorProvider().

ScalarLoadEdgeVectorProvider() [2/3]

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

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

defaultnoexcept

References ScalarLoadEdgeVectorProvider().

ScalarLoadEdgeVectorProvider() [3/3]

template<base::Scalar SCALAR, mesh::utils::MeshFunction 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 757 of file loc_comp_ellbvp.h.

References ScalarLoadEdgeVectorProvider().

~ScalarLoadEdgeVectorProvider()

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

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

default

Member Function Documentation

Eval()

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

ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::ElemVec lf::fe::ScalarLoadEdgeVectorProvider< SCALAR, FUNCTOR, EDGESELECTOR >::Eval

(

const lf::mesh::Entity &

edge

)

const

Definition at line 801 of file loc_comp_ellbvp.h.

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

isActive()

template<base::Scalar SCALAR, mesh::utils::MeshFunction 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 763 of file loc_comp_ellbvp.h.

References edge_sel_.

operator=() [1/2]

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

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

delete

References ScalarLoadEdgeVectorProvider().

operator=() [2/2]

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

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

delete

References ScalarLoadEdgeVectorProvider().

Member Data Documentation

edge_sel_

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

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

private

Definition at line 777 of file loc_comp_ellbvp.h.

Referenced by isActive().

fe_space_

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

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

private

Definition at line 778 of file loc_comp_ellbvp.h.

Referenced by Eval().

g_

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

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

private

Definition at line 776 of file loc_comp_ellbvp.h.

Referenced by Eval().

qr_cache_

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

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

private

Definition at line 780 of file loc_comp_ellbvp.h.

Referenced by Eval().

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

• /home/runner/work/lehrfempp/lehrfempp/lib/lf/fe/loc_comp_ellbvp.h