Reference documentation for deal.II version Git 6454e3f 2017-06-26 22:46:01 +0200
Classes | Public Member Functions | Static Public Member Functions | Protected Member Functions | Protected Attributes | List of all members
SolverMinRes< VectorType > Class Template Reference

#include <deal.II/lac/solver_minres.h>

Inheritance diagram for SolverMinRes< VectorType >:
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Classes

struct  AdditionalData
 

Public Member Functions

 SolverMinRes (SolverControl &cn, VectorMemory< VectorType > &mem, const AdditionalData &data=AdditionalData())
 
 SolverMinRes (SolverControl &cn, const AdditionalData &data=AdditionalData())
 
virtual ~SolverMinRes ()
 
template<typename MatrixType , typename PreconditionerType >
void solve (const MatrixType &A, VectorType &x, const VectorType &b, const PreconditionerType &precondition)
 
- Public Member Functions inherited from Solver< VectorType >
 Solver (SolverControl &solver_control, VectorMemory< VectorType > &vector_memory)
 
 Solver (SolverControl &solver_control)
 
boost::signals2::connection connect (const std::function< SolverControl::State(const unsigned int iteration, const doublecheck_value, const VectorType &current_iterate)> &slot)
 
- Public Member Functions inherited from Subscriptor
 Subscriptor ()
 
 Subscriptor (const Subscriptor &)
 
 Subscriptor (Subscriptor &&)
 
virtual ~Subscriptor ()
 
Subscriptoroperator= (const Subscriptor &)
 
Subscriptoroperator= (Subscriptor &&)
 
void subscribe (const char *identifier=nullptr) const
 
void unsubscribe (const char *identifier=nullptr) const
 
unsigned int n_subscriptions () const
 
void list_subscribers () const
 
template<class Archive >
void serialize (Archive &ar, const unsigned int version)
 

Static Public Member Functions

static::ExceptionBase & ExcPreconditionerNotDefinite ()
 
- Static Public Member Functions inherited from Subscriptor
static::ExceptionBase & ExcInUse (int arg1, char *arg2, std::string &arg3)
 
static::ExceptionBase & ExcNoSubscriber (char *arg1, char *arg2)
 

Protected Member Functions

virtual double criterion ()
 
virtual void print_vectors (const unsigned int step, const VectorType &x, const VectorType &r, const VectorType &d) const
 

Protected Attributes

VectorType * Vu0
 
double res2
 
- Protected Attributes inherited from Solver< VectorType >
GrowingVectorMemory< VectorType > static_vector_memory
 
VectorMemory< VectorType > & memory
 
boost::signals2::signal< SolverControl::State(const unsigned int iteration, const double check_value, const VectorType &current_iterate), StateCombineriteration_status
 

Additional Inherited Members

- Public Types inherited from Solver< VectorType >
typedef VectorType vector_type
 

Detailed Description

template<class VectorType = Vector<double>>
class SolverMinRes< VectorType >

Minimal residual method for symmetric matrices.

For the requirements on matrices and vectors in order to work with this class, see the documentation of the Solver base class.

Like all other solver classes, this class has a local structure called AdditionalData which is used to pass additional parameters to the solver, like damping parameters or the number of temporary vectors. We use this additional structure instead of passing these values directly to the constructor because this makes the use of the SolverSelector and other classes much easier and guarantees that these will continue to work even if number or type of the additional parameters for a certain solver changes.

However, since the MinRes method does not need additional data, the respective structure is empty and does not offer any functionality. The constructor has a default argument, so you may call it without the additional parameter.

The preconditioner has to be positive definite and symmetric

The algorithm is taken from the Master thesis of Astrid Battermann with some changes. The full text can be found at http://scholar.lib.vt.edu/theses/public/etd-12164379662151/etd-title.html

Observing the progress of linear solver iterations

The solve() function of this class uses the mechanism described in the Solver base class to determine convergence. This mechanism can also be used to observe the progress of the iteration.

Author
Thomas Richter, 2000, Luca Heltai, 2006

Definition at line 69 of file solver_minres.h.

Constructor & Destructor Documentation

template<class VectorType = Vector<double>>
SolverMinRes< VectorType >::SolverMinRes ( SolverControl cn,
VectorMemory< VectorType > &  mem,
const AdditionalData data = AdditionalData() 
)

Constructor.

template<class VectorType = Vector<double>>
SolverMinRes< VectorType >::SolverMinRes ( SolverControl cn,
const AdditionalData data = AdditionalData() 
)

Constructor. Use an object of type GrowingVectorMemory as a default to allocate memory.

template<class VectorType = Vector<double>>
virtual SolverMinRes< VectorType >::~SolverMinRes ( )
virtual

Virtual destructor.

Member Function Documentation

template<class VectorType = Vector<double>>
template<typename MatrixType , typename PreconditionerType >
void SolverMinRes< VectorType >::solve ( const MatrixType &  A,
VectorType &  x,
const VectorType &  b,
const PreconditionerType &  precondition 
)

Solve the linear system \(Ax=b\) for x.

template<class VectorType = Vector<double>>
virtual double SolverMinRes< VectorType >::criterion ( )
protectedvirtual

Implementation of the computation of the norm of the residual.

template<class VectorType = Vector<double>>
virtual void SolverMinRes< VectorType >::print_vectors ( const unsigned int  step,
const VectorType &  x,
const VectorType &  r,
const VectorType &  d 
) const
protectedvirtual

Interface for derived class. This function gets the current iteration vector, the residual and the update vector in each step. It can be used for a graphical output of the convergence history.

Member Data Documentation

template<class VectorType = Vector<double>>
VectorType* SolverMinRes< VectorType >::Vu0
protected

Temporary vectors, allocated through the VectorMemory object at the start of the actual solution process and deallocated at the end.

Definition at line 139 of file solver_minres.h.

template<class VectorType = Vector<double>>
double SolverMinRes< VectorType >::res2
protected

Within the iteration loop, the square of the residual vector is stored in this variable. The function criterion uses this variable to compute the convergence value, which in this class is the norm of the residual vector and thus the square root of the res2 value.

Definition at line 149 of file solver_minres.h.


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