Feel++ 0.111.0-preview.14
Finite Element Embedded Library in C++
Feel::Projector< DomainSpace, DualImageSpace > Class Template Reference

Projection made easy. More...

+ Inheritance diagram for Feel::Projector< DomainSpace, DualImageSpace >:
+ Collaboration diagram for Feel::Projector< DomainSpace, DualImageSpace >:

Typedefs

typedef super ol_type
 
typedef super::domain_space_type domain_space_type
 
typedef super::dual_image_space_type dual_image_space_type
 
typedef super::domain_space_ptrtype domain_space_ptrtype
 
typedef super::dual_image_space_ptrtype dual_image_space_ptrtype
 
typedef domain_space_type::element_type domain_element_type
 
typedef dual_image_space_type::element_type dual_image_element_type
 
typedef super::backend_type backend_type
 
typedef super::backend_ptrtype backend_ptrtype
 
typedef backend_type::sparse_matrix_type matrix_type
 
typedef backend_type::vector_type vector_type
 
typedef backend_type::vector_ptrtype vector_ptrtype
 
typedef std::shared_ptr< matrix_type > matrix_ptrtype
 
typedef FsFunctionalLinear< DualImageSpace > image_element_type
 
typedef Range< typename dual_image_space_type::mesh_type, MESH_ELEMENTS > range_elements_type
 
typedef Range< typename dual_image_space_type::mesh_type, MESH_FACES > range_faces_type
 

Methods

template<typename Range , typename Expr , typename Elem >
void applyOn (Range range, Expr const &expr, Elem const &de)
 
template<typename RangeT , typename ExprT >
dual_image_element_type projectL2 (RangeT range, ExprT const &expr)
 
template<typename ... Ts>
dual_image_element_type project (Ts &&... v)
 
template<typename RhsExpr >
dual_image_element_type operator() (RhsExpr const &rhs_expr)
 
template<typename RhsExpr >
void operator() (dual_image_element_type &de, RhsExpr const &rhs_expr)
 
dual_image_element_type operator() (domain_element_type const &de)
 
void operator() (domain_element_type const &de, dual_image_element_type &ie)
 
template<typename Range , typename Expr >
dual_image_element_type operator() (Range const &range, Expr const &expr)
 
void apply (domain_element_type const &de, dual_image_element_type &ie) override
 
template<typename RhsExpr >
void apply (RhsExpr const &rhs_expr, dual_image_element_type &ie)
 
template<typename Expr >
dual_image_element_type derivate (Expr const &expr)
 
double epsilon () const
 
double gamma () const
 
ProjectorType projectorType () const
 
static range_elements_type rangeElements (domain_space_ptrtype const &domainSpace, dual_image_space_ptrtype const &imageSpace)
 
static range_elements_type rangeElements (domain_space_ptrtype const &domainSpace, dual_image_space_ptrtype const &imageSpace, mpl::true_)
 
static range_elements_type rangeElements (domain_space_ptrtype const &domainSpace, dual_image_space_ptrtype const &imageSpace, mpl::false_)
 
static range_faces_type rangeBoundaryFaces (domain_space_ptrtype const &domainSpace, dual_image_space_ptrtype const &imageSpace)
 

Constructors, destructor

 Projector (domain_space_ptrtype domainSpace, dual_image_space_ptrtype dualImageSpace, backend_ptrtype abackend=Backend< double >::build(soption(_name="backend")), ProjectorType proj_type=L2, double epsilon=0.01, double gamma=20, DirichletType dirichlet_type=WEAK)
 
 ~Projector () override
 

Additional Inherited Members

- Public Types inherited from Feel::OperatorLinear< functionspace_type< DomainSpace >, functionspace_type< DualImageSpace > >
typedef std::shared_ptr< adjoint_type > adjoint_ptrtype
 
typedef OperatorLinear< functionspace_type< DualImageSpace >, functionspace_type< 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< functionspace_type< DualImageSpace > > image_element_type
 
typedef std::shared_ptr< matrix_type > matrix_ptrtype
 
typedef backend_type::sparse_matrix_type matrix_type
 
typedef Operator< functionspace_type< DomainSpace >, functionspace_type< DualImageSpace > > super_type
 
typedef OperatorLinear< functionspace_type< DomainSpace >, functionspace_type< DualImageSpace > > this_type
 
typedef backend_type::vector_ptrtype vector_ptrtype
 
typedef backend_type::vector_type vector_type
 
- Public Types inherited from Feel::Operator< functionspace_type< DomainSpace >, functionspace_type< 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 functionspace_type< DomainSpace > domain_space_type
 
typedef std::shared_ptr< dual_image_space_type > dual_image_space_ptrtype
 
typedef functionspace_type< 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 inherited from Feel::OperatorLinear< functionspace_type< DomainSpace >, functionspace_type< DualImageSpace > >
OperatorLinear & add (T const &scalar, OperatorLinear const &ol)
 
OperatorLinear & add (T const &scalar, std::shared_ptr< OperatorLinear > ol)
 
adjoint_ptrtype adjoint (size_type options=MATRIX_TRANSPOSE_ASSEMBLED) const
 
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: \(de = O^{-1} ie\)
 
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)
 
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
 
T2 operator() (std::shared_ptr< T1 > de)
 
T2 operator() (T1 &de)
 
OperatorLinear & operator+ (OperatorLinear const &ol)
 
OperatorLinear & operator+ (std::shared_ptr< OperatorLinear > ol)
 
this_type & operator+= (ExprT const &e)
 
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< functionspace_type< DomainSpace >, functionspace_type< 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, functionspace_type< DualImageSpace > > &&)=default
 
 Operator (Operator< domain_space_type, functionspace_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::Projector< DomainSpace, DualImageSpace >

Projection made easy.

Author
Vincent Doyeux
See also
OperatorLinear