Feel::OperatorLinear< DomainSpace, DualImageSpace > Class Template Reference

Linear Operator between function spaces, represented by a matrix. More...

Inheritance diagram for Feel::OperatorLinear< DomainSpace, DualImageSpace >:

Collaboration diagram for Feel::OperatorLinear< DomainSpace, DualImageSpace >:

Classes
struct	domain_element

Public Types
typedef std::shared_ptr< adjoint_type >	adjoint_ptrtype
typedef OperatorLinear< DualImageSpace, DomainSpace >	adjoint_type
typedef super::backend_ptrtype	backend_ptrtype
typedef super::backend_type	backend_type
typedef domain_space_type::element_type	domain_element_type
typedef super::domain_space_ptrtype	domain_space_ptrtype
typedef super::domain_space_type	domain_space_type
typedef dual_image_space_type::element_type	dual_image_element_type
typedef super::dual_image_space_ptrtype	dual_image_space_ptrtype
typedef super::dual_image_space_type	dual_image_space_type
typedef FsFunctionalLinear< DualImageSpace >	image_element_type
typedef std::shared_ptr< matrix_type >	matrix_ptrtype
typedef backend_type::sparse_matrix_type	matrix_type
typedef Operator< DomainSpace, DualImageSpace >	super_type
typedef OperatorLinear< DomainSpace, DualImageSpace >	this_type
typedef backend_type::vector_ptrtype	vector_ptrtype
typedef backend_type::vector_type	vector_type
Public Types inherited from Feel::Operator< DomainSpace, DualImageSpace >
typedef std::shared_ptr< backend_type >	backend_ptrtype
typedef Backend< value_type >	backend_type
typedef domain_space_type::element_type	domain_element_type
typedef std::shared_ptr< domain_space_type >	domain_space_ptrtype
typedef DomainSpace	domain_space_type
typedef std::shared_ptr< dual_image_space_type >	dual_image_space_ptrtype
typedef DualImageSpace	dual_image_space_type
typedef FsFunctionalLinear< dual_image_space_type >	image_element_type
typedef domain_space_type::value_type	value_type

Public Member Functions
template<typename T >
OperatorLinear &	add (T const &scalar, OperatorLinear const &ol)
template<typename T >
OperatorLinear &	add (T const &scalar, std::shared_ptr< OperatorLinear > ol)
adjoint_ptrtype	adjoint (size_type options=MATRIX_TRANSPOSE_ASSEMBLED) const
template<typename Storage >
void	apply (const domain_element< typename domain_element_type::value_type, Storage > &de, image_element_type &ie) const
void	apply (const domain_element_type &de, image_element_type &ie) const override
virtual void	apply (const typename domain_space_type::element_type &de, typename dual_image_space_type::element_type &ie)
virtual void	applyInverse (domain_element_type &de, const image_element_type &ie)
	apply the inverse of the operator: \(de = O^{-1} ie\) More...
backend_ptrtype &	backend ()
void	close ()
virtual double	energy (const typename domain_space_type::element_type &de, const typename dual_image_space_type::element_type &ie) const
virtual void	init (domain_space_ptrtype domainSpace, dual_image_space_ptrtype dualImageSpace, backend_ptrtype backend, bool buildMatrix=true, size_type pattern=Pattern::COUPLED)
template<typename RhsExpr >
domain_element_type	inv (RhsExpr const &rhs_expr)
matrix_type &	mat ()
matrix_type const &	mat () const
matrix_ptrtype &	matPtr ()
matrix_ptrtype const &	matPtr () const
virtual void	matPtr (matrix_ptrtype &matrix)
std::string	name () const
template<typename T1 = typename domain_space_type::element_type, typename T2 = typename dual_image_space_type::element_type>
T2	operator() (std::shared_ptr< T1 > de)
template<typename T1 = typename domain_space_type::element_type, typename T2 = typename dual_image_space_type::element_type>
T2	operator() (T1 &de)
OperatorLinear &	operator+ (OperatorLinear const &ol)
OperatorLinear &	operator+ (std::shared_ptr< OperatorLinear > ol)
template<class ExprT >
this_type &	operator+= (ExprT const &e)
template<class ExprT >
this_type &	operator= (ExprT const &e)
this_type &	operator= (this_type &&m)=default
this_type &	operator= (this_type const &m)=default
	OperatorLinear (domain_space_ptrtype domainSpace, dual_image_space_ptrtype dualImageSpace, backend_ptrtype backend, bool buildMatrix=true, size_type pattern=Pattern::COUPLED)
	OperatorLinear (OperatorLinear &&ol)=default
	OperatorLinear (OperatorLinear const &ol)=default
size_type	pattern ()
void	setMatrix (matrix_ptrtype m)
void	setName (std::string name)
Public Member Functions inherited from Feel::Operator< DomainSpace, DualImageSpace >
virtual void	apply (const domain_element_type &de, image_element_type &ie) const =0
domain_space_ptrtype	domainSpace ()
const domain_space_ptrtype	domainSpace () const
dual_image_space_ptrtype	dualImageSpace ()
const dual_image_space_ptrtype	dualImageSpace () const
	Operator (domain_space_ptrtype domainSpace, dual_image_space_ptrtype dualImageSpace)
	Operator (Operator< domain_space_type, DualImageSpace > &&)=default
	Operator (Operator< domain_space_type, DualImageSpace > const &)=default
image_element_type	operator() (const domain_element_type &de) const
Operator &	operator= (Operator &&)=default
Operator &	operator= (Operator const &)=default
void	setDomainSpace (domain_space_ptrtype const &domainspace)
void	setDualImageSpace (dual_image_space_ptrtype const &dualImageSpace)

Detailed Description

template<class DomainSpace, class DualImageSpace>
class Feel::OperatorLinear< DomainSpace, DualImageSpace >

Linear Operator between function spaces, represented by a matrix.

Member Function Documentation

apply()

template<class DomainSpace , class DualImageSpace >

void Feel::OperatorLinear< DomainSpace, DualImageSpace >::apply ( const domain_element_type &  de, image_element_type &  ie  ) const

overridevirtual

Implements Feel::Operator< DomainSpace, DualImageSpace >.

applyInverse()

template<class DomainSpace , class DualImageSpace >

virtual void Feel::OperatorLinear< DomainSpace, DualImageSpace >::applyInverse ( domain_element_type &  de, const image_element_type &  ie  )

virtual

apply the inverse of the operator: \(de = O^{-1} ie\)

Reimplemented in Feel::OperatorLinearComposite< DomainSpace, DualImageSpace >, and Feel::OperatorLinearFree< DomainSpace, DualImageSpace, ExprType >.