lf::fe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION > Class Template Reference

Local computation of general element (load) vector for scalar finite elements; volume contributions only. More...

#include <lf/fe/fe.h>

Public Types
using	scalar_t = decltype(SCALAR(0) *mesh::utils::MeshFunctionReturnType< MESH_FUNCTION >(0))
using	ElemVec = Eigen::Matrix< scalar_t, Eigen::Dynamic, 1 >

Public Member Functions
	ScalarLoadElementVectorProvider (std::shared_ptr< const ScalarFESpace< SCALAR > > fe_space, MESH_FUNCTION f)
	Constructor, performs precomputations. More...
bool	isActive (const lf::mesh::Entity &) const
	all cells are active More...
ElemVec	Eval (const lf::mesh::Entity &cell) const
	~ScalarLoadElementVectorProvider ()=default
standard constructors
	ScalarLoadElementVectorProvider (const ScalarLoadElementVectorProvider &)=delete
	ScalarLoadElementVectorProvider (ScalarLoadElementVectorProvider &&) noexcept=default
ScalarLoadElementVectorProvider &	operator= (const ScalarLoadElementVectorProvider &)=delete
ScalarLoadElementVectorProvider &	operator= (ScalarLoadElementVectorProvider &&)=delete

Private Attributes
MESH_FUNCTION	f_
	An object providing the source function. More...
std::shared_ptr< const ScalarFESpace< SCALAR > >	fe_space_
quad::QuadRuleCache	qr_cache_

Detailed Description

template<typename SCALAR, typename MESH_FUNCTION>
class lf::fe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >

Local computation of general element (load) vector for scalar finite elements; volume contributions only.

Template Parameters

SCALAR	underlying scalar type of the ScalarFESpace, usually double or complex<double>
MESH_FUNCTION	MeshFunction which defines the source function \( f \)

The underlying local linear form is

\[ v \mapsto \int_K f(\mathbf{x})\,\overline{v(\mathbf{x})}\,\mathrm{d}\mathbf{x}\;, \]

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

Computation is based on a quadrature rules supplied by the LehrFEM++ lf::quad::QuadRule module.

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

Definition at line 540 of file loc_comp_ellbvp.h.

Member Typedef Documentation

ElemVec

template<typename SCALAR , typename MESH_FUNCTION >

using lf::fe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::ElemVec = Eigen::Matrix<scalar_t, Eigen::Dynamic, 1>

Definition at line 546 of file loc_comp_ellbvp.h.

scalar_t

template<typename SCALAR , typename MESH_FUNCTION >

using lf::fe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::scalar_t = decltype( SCALAR(0) * mesh::utils::MeshFunctionReturnType<MESH_FUNCTION>(0))

Definition at line 544 of file loc_comp_ellbvp.h.

Constructor & Destructor Documentation

ScalarLoadElementVectorProvider() [1/3]

template<typename SCALAR , typename MESH_FUNCTION >

lf::fe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::ScalarLoadElementVectorProvider ( const ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION > &  )

delete

ScalarLoadElementVectorProvider() [2/3]

template<typename SCALAR , typename MESH_FUNCTION >

lf::fe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::ScalarLoadElementVectorProvider ( ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION > &&  )

defaultnoexcept

ScalarLoadElementVectorProvider() [3/3]

template<typename SCALAR , typename MESH_FUNCTION >

lf::fe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::ScalarLoadElementVectorProvider	(	std::shared_ptr< const ScalarFESpace< SCALAR > >	fe_space,
		MESH_FUNCTION	f
	)

Constructor, performs precomputations.

Parameters

fe_space	specification of local shape functions
f	functor object for source function

Uses quadrature rule of double the degree of exactness compared to the degree of the finite element space.

Definition at line 606 of file loc_comp_ellbvp.h.

~ScalarLoadElementVectorProvider()

template<typename SCALAR , typename MESH_FUNCTION >

lf::fe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::~ScalarLoadElementVectorProvider ( )

default

Member Function Documentation

Eval()

template<typename SCALAR , typename MESH_FUNCTION >

ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::ElemVec lf::fe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::Eval

(

const lf::mesh::Entity &

cell

)

const

Definition at line 616 of file loc_comp_ellbvp.h.

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

isActive()

template<typename SCALAR , typename MESH_FUNCTION >

bool lf::fe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::isActive ( const lf::mesh::Entity &  ) const

inline

all cells are active

Definition at line 571 of file loc_comp_ellbvp.h.

operator=() [1/2]

template<typename SCALAR , typename MESH_FUNCTION >

ScalarLoadElementVectorProvider & lf::fe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::operator= ( const ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION > &  )

delete

operator=() [2/2]

template<typename SCALAR , typename MESH_FUNCTION >

ScalarLoadElementVectorProvider & lf::fe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::operator= ( ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION > &&  )

delete

Member Data Documentation

f_

template<typename SCALAR , typename MESH_FUNCTION >

MESH_FUNCTION lf::fe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::f_

private

An object providing the source function.

Definition at line 585 of file loc_comp_ellbvp.h.

fe_space_

template<typename SCALAR , typename MESH_FUNCTION >

std::shared_ptr<const ScalarFESpace<SCALAR> > lf::fe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::fe_space_

private

Definition at line 587 of file loc_comp_ellbvp.h.

qr_cache_

template<typename SCALAR , typename MESH_FUNCTION >

quad::QuadRuleCache lf::fe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::qr_cache_

private

Definition at line 589 of file loc_comp_ellbvp.h.

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

• /home/nico/bildung/SemVI/thesis/lehrfempp/lib/lf/fe/loc_comp_ellbvp.h