dune-istl  2.2.0
Public Types | Public Member Functions
Dune::LinearOperator< X, Y > Class Template Reference

A linear operator. More...

#include <dune/istl/operators.hh>

Inheritance diagram for Dune::LinearOperator< X, Y >:
Inheritance graph

List of all members.

Public Types

typedef X domain_type
 The type of the domain of the operator.
typedef Y range_type
 The type of the range of the operator.
typedef X::field_type field_type
 The field type of the operator.

Public Member Functions

virtual void apply (const X &x, Y &y) const =0
 apply operator to x: $ y = A(x) $ The input vector is consistent and the output must also be consistent on the interior+border partition.
virtual void applyscaleadd (field_type alpha, const X &x, Y &y) const =0
 apply operator to x, scale and add: $ y = y + \alpha A(x) $
virtual ~LinearOperator ()
 every abstract base class has a virtual destructor

Detailed Description

template<class X, class Y>
class Dune::LinearOperator< X, Y >

A linear operator.

Abstract base class defining a linear operator \form#28,
i.e. \form#29 and

$ A(x+y) = A(x)+A(y)$ hold. The simplest solvers just need the application $ A(x)$ of the operator.

- enables on the fly computation through operator concept. If explicit
representation of the operator is required use AssembledLinearOperator

- Some inverters may need an explicit formation of the operator
as a matrix, e.g. BiCGStab, ILU, AMG, etc. In that case use the 
derived class

Member Typedef Documentation

template<class X, class Y>
typedef X Dune::LinearOperator< X, Y >::domain_type
template<class X, class Y>
typedef X::field_type Dune::LinearOperator< X, Y >::field_type
template<class X, class Y>
typedef Y Dune::LinearOperator< X, Y >::range_type

Constructor & Destructor Documentation

template<class X, class Y>
virtual Dune::LinearOperator< X, Y >::~LinearOperator ( )
inlinevirtual

every abstract base class has a virtual destructor


Member Function Documentation

template<class X, class Y>
virtual void Dune::LinearOperator< X, Y >::apply ( const X &  x,
Y &  y 
) const
pure virtual
template<class X, class Y>
virtual void Dune::LinearOperator< X, Y >::applyscaleadd ( field_type  alpha,
const X &  x,
Y &  y 
) const
pure virtual

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