Linear Operator Free between function spaces, represented by a matrix but this matrix is not automatically assembled. More...

Inheritance diagram for Feel::OperatorLinearFree< DomainSpace, DualImageSpace, ExprType >:

Collaboration diagram for Feel::OperatorLinearFree< DomainSpace, DualImageSpace, ExprType >:

Public Types
typedef super::backend_ptrtype	backend_ptrtype

typedef super::backend_type	backend_type

typedef super::domain_element_type	domain_element_type

typedef super::domain_space_ptrtype	domain_space_ptrtype

typedef super::domain_space_type	domain_space_type

typedef super::dual_image_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 ExprType	expr_type

typedef FsFunctionalLinear< DualImageSpace >	image_element_type

typedef std::shared_ptr< matrix_type >	matrix_ptrtype

typedef super::matrix_type	matrix_type

typedef std::shared_ptr< this_type >	this_ptrtype

typedef OperatorLinearFree< DomainSpace, DualImageSpace, ExprType >	this_type

Public Types inherited from Feel::OperatorLinear< DomainSpace, DualImageSpace >
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
void	apply (const domain_element_type &de, image_element_type &ie) const override

void	apply (const typename domain_space_type::element_type &de, typename dual_image_space_type::element_type &ie) override

void	applyInverse (domain_element_type &de, const image_element_type &ie) override
	apply the inverse of the operator: \(de = O^{-1} ie\) More...

double	energy (const typename domain_space_type::element_type &de, const typename dual_image_space_type::element_type &ie) const override

expr_type	expr ()

void	init (domain_space_ptrtype domainSpace, dual_image_space_ptrtype dualImageSpace, backend_ptrtype backend, bool buildMatrix=false, size_type pattern=Pattern::COUPLED) override

void	matPtr (matrix_ptrtype &matrix) override

this_type &	operator= (this_type const &m)

	OperatorLinearFree (domain_space_ptrtype domainSpace, dual_image_space_ptrtype dualImageSpace, backend_ptrtype backend, expr_type expr, size_type pattern=Pattern::COUPLED)

Public Member Functions inherited from Feel::OperatorLinear< DomainSpace, DualImageSpace >
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, typename ExprType>
class Feel::OperatorLinearFree< DomainSpace, DualImageSpace, ExprType >

Linear Operator Free between function spaces, represented by a matrix but this matrix is not automatically assembled.