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

#include <lf/uscalfe/uscalfe.h>

Public Types
using	scalar_t
	Scalar type of the element matrix.

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

Public Member Functions
	ScalarLoadElementVectorProvider (std::shared_ptr< const UniformScalarFESpace< SCALAR > > fe_space, MESH_FUNCTION f)
	Constructor, performs precomputations.

	ScalarLoadElementVectorProvider (std::shared_ptr< const UniformScalarFESpace< SCALAR > > fe_space, MESH_FUNCTION f, quad_rule_collection_t qr_collection)
	Constructor, performs precomputations based on user-supplied quadrature rules.

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

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

virtual	~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.

std::array< PrecomputedScalarReferenceFiniteElement< SCALAR >, 5 >	fe_precomp_

Detailed Description

template<base::Scalar SCALAR, mesh::utils::MeshFunction MESH_FUNCTION>
class lf::uscalfe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >

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

Template Parameters

SCALAR	Scalar type of the Finite Element Space.
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 AssembleVectorLocally().

Logger

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

Definition at line 563 of file loc_comp_ellbvp.h.

Member Typedef Documentation

◆ ElemVec

template<base::Scalar SCALAR, mesh::utils::MeshFunction MESH_FUNCTION>

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

Definition at line 570 of file loc_comp_ellbvp.h.

◆ scalar_t

template<base::Scalar SCALAR, mesh::utils::MeshFunction MESH_FUNCTION>

using lf::uscalfe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::scalar_t

Initial value:

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

Scalar type of the element matrix.

Definition at line 566 of file loc_comp_ellbvp.h.

Constructor & Destructor Documentation

◆ ScalarLoadElementVectorProvider() [1/4]

template<base::Scalar SCALAR, mesh::utils::MeshFunction MESH_FUNCTION>

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

delete

References ScalarLoadElementVectorProvider().

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

◆ ScalarLoadElementVectorProvider() [2/4]

template<base::Scalar SCALAR, mesh::utils::MeshFunction MESH_FUNCTION>

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

defaultnoexcept

References ScalarLoadElementVectorProvider().

◆ ScalarLoadElementVectorProvider() [3/4]

template<base::Scalar SCALAR, mesh::utils::MeshFunction MESH_FUNCTION>

lf::uscalfe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::ScalarLoadElementVectorProvider	(	std::shared_ptr< const UniformScalarFESpace< 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 639 of file loc_comp_ellbvp.h.

References f_, fe_precomp_, lf::base::RefEl::kQuad(), lf::base::RefEl::kTria(), and lf::quad::make_QuadRule().

◆ ScalarLoadElementVectorProvider() [4/4]

template<base::Scalar SCALAR, mesh::utils::MeshFunction MESH_FUNCTION>

lf::uscalfe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::ScalarLoadElementVectorProvider	(	std::shared_ptr< const UniformScalarFESpace< SCALAR > >	fe_space,
		MESH_FUNCTION	f,
		quad_rule_collection_t	qr_collection )

Constructor, performs precomputations based on user-supplied quadrature rules.

Parameters

fe_space	specification of local shape functions
f	functor object for source function
qr_collection	collection of quadrature rule.

Definition at line 659 of file loc_comp_ellbvp.h.

References f_, fe_precomp_, lf::base::RefEl::kQuad(), lf::base::RefEl::kTria(), and lf::quad::QuadRule::RefEl().

◆ ~ScalarLoadElementVectorProvider()

template<base::Scalar SCALAR, mesh::utils::MeshFunction MESH_FUNCTION>

virtual lf::uscalfe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::~ScalarLoadElementVectorProvider ( )

virtualdefault

Member Function Documentation

◆ Eval()

template<base::Scalar SCALAR, mesh::utils::MeshFunction MESH_FUNCTION>

ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::ElemVec lf::uscalfe::ScalarLoadElementVectorProvider< SCALAR, MESH_FUNCTION >::Eval ( const lf::mesh::Entity & cell )

Definition at line 693 of file loc_comp_ellbvp.h.

References lf::geometry::Geometry::DimLocal(), f_, fe_precomp_, lf::mesh::Entity::Geometry(), lf::geometry::Geometry::Global(), lf::geometry::Geometry::IntegrationElement(), lf::mesh::Entity::RefEl(), and lf::uscalfe::ScalarLoadElementVectorProviderLogger().

◆ isActive()

template<base::Scalar SCALAR, mesh::utils::MeshFunction MESH_FUNCTION>

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

inlinevirtual

Default implement: all cells are active.

Definition at line 607 of file loc_comp_ellbvp.h.

References isActive().

Referenced by isActive().

◆ operator=() [1/2]

template<base::Scalar SCALAR, mesh::utils::MeshFunction MESH_FUNCTION>

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

delete

References ScalarLoadElementVectorProvider().

◆ operator=() [2/2]

template<base::Scalar SCALAR, mesh::utils::MeshFunction MESH_FUNCTION>

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

delete

References ScalarLoadElementVectorProvider().