Class for local quadrature based computations of sub vectors corresponding to load vectors. More...

#include <projects/dpg/loc_comp_dpg.h>

Inheritance diagram for projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >:

Public Types
using	elem_vec_t = typename SubElementVectorProvider< SCALAR >::elem_vec_t
	inherited types for element vectors More...

using	ElemVec = typename SubElementVectorProvider< SCALAR >::ElemVec

Public Types inherited from projects::dpg::SubElementVectorProvider< SCALAR >
using	size_type = lf::uscalfe::size_type

using	elem_vec_t = Eigen::Matrix< SCALAR, Eigen::Dynamic, 1 >
	internal type for element vectors More...

using	ElemVec = elem_vec_t

Public Member Functions
	LoadElementVectorProvider (const LoadElementVectorProvider &)=delete

	LoadElementVectorProvider (LoadElementVectorProvider &&) noexcept=default

LoadElementVectorProvider &	operator= (const LoadElementVectorProvider &)=delete

LoadElementVectorProvider &	operator= (LoadElementVectorProvider &&)=delete

	LoadElementVectorProvider (std::shared_ptr< ProductUniformFESpace< SCALAR > > fe_space_test, size_type test_component, FUNCTOR f)
	Constructor: performs cell-independent precomputations. More...

ElemVec	Eval (const lf::mesh::Entity &cell) override
	main routine for the computation of element vectors More...

size_type	TestComponent () const override
	returns the index of the test space component \( v_{j_k} \) which is the test space for the linear form \( l_k \) More...

	~LoadElementVectorProvider () override=default

Public Member Functions inherited from projects::dpg::SubElementVectorProvider< SCALAR >
	SubElementVectorProvider ()=default

virtual	~SubElementVectorProvider ()=default

	SubElementVectorProvider (const SubElementVectorProvider &)=delete

	SubElementVectorProvider (SubElementVectorProvider &&) noexcept=default

SubElementVectorProvider &	operator= (const SubElementVectorProvider &)=delete

SubElementVectorProvider &	operator= (SubElementVectorProvider &&)=delete

virtual bool	isActive (const lf::mesh::Entity &)
	All cells are considered active in the default implementation. More...

virtual ElemVec	Eval (const lf::mesh::Entity &cell)=0
	main routine for the computation of (sub) element vectors More...

virtual size_type	TestComponent () const =0
	returns the index of the test space component \( v_{j_k} \) which is the test space for the linear form \( l_k \) More...

Private Attributes
FUNCTOR	f_
	functor providing the source function More...

std::array< lf::uscalfe::PrecomputedScalarReferenceFiniteElement< SCALAR >, 5 >	fe_precomp_test_
	array containing precomputed information for the test space: fe_precomp_test_[i] contains the precomputed reference finite element for \( v\) on ref_el i. More...

size_type	test_component_
	index of test component v More...

Detailed Description

template<typename SCALAR, typename FUNCTOR>
class projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >

Class for local quadrature based computations of sub vectors corresponding to load vectors.

Template Parameters

SCALAR	type for the entries of the element vectors. Must be a fiel type such as 'double'.
FUNCTOR	a MeshFunction that defines the source function \( f \). It should be scalar-valued.

Note: This class complies with the type requirements for the template argument 'ELEM_VEC_COMP' of the function lf::assemble::AssembleVectorLocally89

The load vector corresponds to the local linear form

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

with source function \( f \). \(v \) is a component of the test space.

Template parameter requirement

SCALAR must be a type like double
FUNCTOR must provide an evaluation operator operator (const Entity &,ref_coord_t) that returns a scalar

Definition at line 1330 of file loc_comp_dpg.h.

Member Typedef Documentation

◆ elem_vec_t

template<typename SCALAR , typename FUNCTOR >

using projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::elem_vec_t = typename SubElementVectorProvider<SCALAR>::elem_vec_t

inherited types for element vectors

Definition at line 1335 of file loc_comp_dpg.h.

◆ ElemVec

template<typename SCALAR , typename FUNCTOR >

using projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::ElemVec = typename SubElementVectorProvider<SCALAR>::ElemVec

Definition at line 1336 of file loc_comp_dpg.h.

Constructor & Destructor Documentation

◆ LoadElementVectorProvider() [1/3]

template<typename SCALAR , typename FUNCTOR >

projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::LoadElementVectorProvider ( const LoadElementVectorProvider< SCALAR, FUNCTOR > & )

delete

◆ LoadElementVectorProvider() [2/3]

template<typename SCALAR , typename FUNCTOR >

projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::LoadElementVectorProvider ( LoadElementVectorProvider< SCALAR, FUNCTOR > && )

defaultnoexcept

◆ LoadElementVectorProvider() [3/3]

template<typename SCALAR , typename FUNCTOR >

projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::LoadElementVectorProvider	(	std::shared_ptr< ProductUniformFESpace< SCALAR > >	fe_space_test,
		size_type	test_component,
		FUNCTOR	f
	)

Constructor: performs cell-independent precomputations.

Parameters

fe_space_test	collection of specifications for the fe space
test_component	Index of the test space component \(v\)
f	mesh function for the scalar valued source function

This constructor uses local quadrature rules with twice the degree of exactnes of the polynomial degree of \( v\)

Definition at line 1393 of file loc_comp_dpg.h.

References projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::fe_precomp_test_, lf::base::RefEl::kQuad(), lf::base::RefEl::kTria(), lf::quad::make_QuadRule(), and projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::test_component_.

◆ ~LoadElementVectorProvider()

template<typename SCALAR , typename FUNCTOR >

projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::~LoadElementVectorProvider ( )

overridedefault

Member Function Documentation

◆ Eval()

template<typename SCALAR , typename FUNCTOR >

LoadElementVectorProvider< SCALAR, FUNCTOR >::ElemVec projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::Eval ( const lf::mesh::Entity & cell )

overridevirtual

main routine for the computation of element vectors

Parameters

cell	reference to a (triangular or quadrilateral) cell for which the element vector should be computed

Returns: small column vector containing the element vector.

Implements projects::dpg::SubElementVectorProvider< SCALAR >.

Definition at line 1417 of file loc_comp_dpg.h.

References lf::geometry::Geometry::DimLocal(), lf::mesh::Entity::Geometry(), lf::base::RefEl::Id(), lf::geometry::Geometry::IntegrationElement(), and lf::mesh::Entity::RefEl().

◆ operator=() [1/2]

template<typename SCALAR , typename FUNCTOR >

LoadElementVectorProvider & projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::operator= ( const LoadElementVectorProvider< SCALAR, FUNCTOR > & )

delete

◆ operator=() [2/2]

template<typename SCALAR , typename FUNCTOR >

LoadElementVectorProvider & projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::operator= ( LoadElementVectorProvider< SCALAR, FUNCTOR > && )

delete

◆ TestComponent()

template<typename SCALAR , typename FUNCTOR >

size_type projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::TestComponent ( ) const

inlineoverridevirtual

returns the index of the test space component \( v_{j_k} \) which is the test space for the linear form \( l_k \)

Implements projects::dpg::SubElementVectorProvider< SCALAR >.

Definition at line 1366 of file loc_comp_dpg.h.

References projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::test_component_.

Member Data Documentation

◆ f_

template<typename SCALAR , typename FUNCTOR >

FUNCTOR projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::f_

private

functor providing the source function

Definition at line 1374 of file loc_comp_dpg.h.

◆ fe_precomp_test_

template<typename SCALAR , typename FUNCTOR >

std::array<lf::uscalfe::PrecomputedScalarReferenceFiniteElement<SCALAR>, 5> projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::fe_precomp_test_

private

array containing precomputed information for the test space: fe_precomp_test_[i] contains the precomputed reference finite element for \( v\) on ref_el i.

Definition at line 1379 of file loc_comp_dpg.h.

Referenced by projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::LoadElementVectorProvider().

◆ test_component_

template<typename SCALAR , typename FUNCTOR >

size_type projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::test_component_

private

index of test component v

Definition at line 1382 of file loc_comp_dpg.h.

Referenced by projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::LoadElementVectorProvider(), and projects::dpg::LoadElementVectorProvider< SCALAR, FUNCTOR >::TestComponent().

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

/home/nico/bildung/SemVI/thesis/lehrfempp/projects/dpg/loc_comp_dpg.h

Public Types

Public Member Functions

Private Attributes

Detailed Description

Template parameter requirement

Member Typedef Documentation

◆ elem_vec_t

◆ ElemVec

Constructor & Destructor Documentation

◆ LoadElementVectorProvider() [1/3]

◆ LoadElementVectorProvider() [2/3]

◆ LoadElementVectorProvider() [3/3]

◆ ~LoadElementVectorProvider()

Member Function Documentation

◆ Eval()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ TestComponent()

Member Data Documentation

◆ f_

◆ fe_precomp_test_

◆ test_component_