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// $Id: trilinos_solver.h 30040 2013-07-18 17:06:48Z maier $
//
// Copyright (C) 2008 - 2013 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, redistribute
// it, and/or modify it under the terms of the GNU Lesser General
// Public License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE at
// the top level of the deal.II distribution.
//
// ---------------------------------------------------------------------
#ifndef __deal2__trilinos_solver_h
#define __deal2__trilinos_solver_h
#include <deal.II/base/config.h>
#ifdef DEAL_II_WITH_TRILINOS
# include <deal.II/base/std_cxx1x/shared_ptr.h>
# include <deal.II/lac/exceptions.h>
# include <deal.II/lac/solver_control.h>
# include <deal.II/lac/vector.h>
# include <Epetra_LinearProblem.h>
# include <AztecOO.h>
# include <Epetra_Operator.h>
# include <Amesos.h>
DEAL_II_NAMESPACE_OPEN
namespace TrilinosWrappers
{
// forward declarations
class SparseMatrix;
class VectorBase;
class PreconditionBase;
/**
* Base class for solver classes using the Trilinos solvers. Since
* solvers in Trilinos are selected based on flags passed to a generic
* solver object, basically all the actual solver calls happen in this
* class, and derived classes simply set the right flags to select one
* solver or another, or to set certain parameters for individual
* solvers. For a general discussion on the Trilinos solver package
* AztecOO, we refer to the <a href =
* "http://trilinos.sandia.gov/packages/aztecoo/AztecOOUserGuide.pdf">AztecOO
* user guide</a>.
*
* This solver class can also be used as a standalone class, where the
* respective Krylov method is set via the flag
* <tt>solver_name</tt>. This can be done at runtime (e.g., when
* parsing the solver from a ParameterList) and is similar to the
* deal.II class SolverSelector.
*
* @ingroup TrilinosWrappers
* @author Martin Kronbichler, 2008, 2009
*/
class SolverBase
{
public:
/**
* Enumeration object that is
* set in the constructor of
* the derived classes and
* tells Trilinos which solver
* to use. This option can also
* be set in the user program,
* so one might use this base
* class instead of one of the
* specialized derived classes
* when the solver should be
* set at runtime. Currently
* enabled options are:
*/
enum SolverName {cg, cgs, gmres, bicgstab, tfqmr} solver_name;
/**
* Standardized data struct to
* pipe additional data to the
* solver.
*/
struct AdditionalData
{
/**
* Sets the additional data field to
* the desired output format and puts
* the restart parameter in case the
* derived class is GMRES.
*
* TODO: Find a better way for
* setting the GMRES restart
* parameter since it is quite
* inelegant to set a specific option
* of one solver in the base class
* for all solvers.
*/
AdditionalData (const bool output_solver_details = false,
const unsigned int gmres_restart_parameter = 30);
/**
* Enables/disables the output of
* solver details (residual in each
* iterations etc.).
*/
const bool output_solver_details;
/**
* Restart parameter for GMRES
* solver.
*/
const unsigned int gmres_restart_parameter;
};
/**
* Constructor. Takes the
* solver control object and
* creates the solver.
*/
SolverBase (SolverControl &cn);
/**
* Second constructor. This
* constructor takes an enum
* object that specifies the
* solver name and sets the
* appropriate Krylov
* method.
*/
SolverBase (const enum SolverName solver_name,
SolverControl &cn);
/**
* Destructor.
*/
virtual ~SolverBase ();
/**
* Solve the linear system
* <tt>Ax=b</tt>. Depending on
* the information provided by
* derived classes and the
* object passed as a
* preconditioner, one of the
* linear solvers and
* preconditioners of Trilinos
* is chosen.
*/
void
solve (const SparseMatrix &A,
VectorBase &x,
const VectorBase &b,
const PreconditionBase &preconditioner);
/**
* Solve the linear system
* <tt>Ax=b</tt> where <tt>A</tt>
* is an operator. This function
* can be used for matrix free
* computation. Depending on
* the information provided by
* derived classes and the
* object passed as a
* preconditioner, one of the
* linear solvers and
* preconditioners of Trilinos
* is chosen.
*/
void
solve (Epetra_Operator &A,
VectorBase &x,
const VectorBase &b,
const PreconditionBase &preconditioner);
/**
* Solve the linear system
* <tt>Ax=b</tt>. Depending on the
* information provided by derived
* classes and the object passed as a
* preconditioner, one of the linear
* solvers and preconditioners of
* Trilinos is chosen. This class
* works with matrices according to
* the TrilinosWrappers format, but
* can take deal.II vectors as
* argument. Since deal.II are serial
* vectors (not distributed), this
* function does only what you expect
* in case the matrix is locally
* owned. Otherwise, an exception
* will be thrown.
*/
void
solve (const SparseMatrix &A,
dealii::Vector<double> &x,
const dealii::Vector<double> &b,
const PreconditionBase &preconditioner);
/**
* Solve the linear system
* <tt>Ax=b</tt> where <tt>A</tt>
* is an operator. This function can
* be used for matric free. Depending on the
* information provided by derived
* classes and the object passed as a
* preconditioner, one of the linear
* solvers and preconditioners of
* Trilinos is chosen. This class
* works with matrices according to
* the TrilinosWrappers format, but
* can take deal.II vectors as
* argument. Since deal.II are serial
* vectors (not distributed), this
* function does only what you expect
* in case the matrix is locally
* owned. Otherwise, an exception
* will be thrown.
*/
void
solve (Epetra_Operator &A,
dealii::Vector<double> &x,
const dealii::Vector<double> &b,
const PreconditionBase &preconditioner);
/**
* Access to object that controls
* convergence.
*/
SolverControl &control() const;
/**
* Exception
*/
DeclException1 (ExcTrilinosError,
int,
<< "An error with error number " << arg1
<< " occurred while calling a Trilinos function");
protected:
/**
* Reference to the object that
* controls convergence of the
* iterative solver. In fact,
* for these Trilinos wrappers,
* Trilinos does so itself, but
* we copy the data from this
* object before starting the
* solution process, and copy
* the data back into it
* afterwards.
*/
SolverControl &solver_control;
private:
/**
* The solve function is used to set properly the Epetra_LinearProblem,
* once it is done this function solves the linear problem.
*/
void execute_solve(const PreconditionBase &preconditioner);
/**
* A structure that collects
* the Trilinos sparse matrix,
* the right hand side vector
* and the solution vector,
* which is passed down to the
* Trilinos solver.
*/
std_cxx1x::shared_ptr<Epetra_LinearProblem> linear_problem;
/**
* A structure that contains
* the Trilinos solver and
* preconditioner objects.
*/
AztecOO solver;
/**
* Store a copy of the flags for this
* particular solver.
*/
const AdditionalData additional_data;
};
/**
* An implementation of the solver interface using the Trilinos CG
* solver.
*
* @ingroup TrilinosWrappers
* @author Martin Kronbichler, 2008
*/
class SolverCG : public SolverBase
{
public:
/**
* Standardized data struct to
* pipe additional data to the
* solver.
*/
struct AdditionalData
{
/**
* Sets the additional data field to
* the desired output format.
*/
AdditionalData (const bool output_solver_details = false);
/**
* Enables/disables the output of
* solver details (residual in each
* iterations etc.).
*/
bool output_solver_details;
};
/**
* Constructor. In contrast to
* deal.II's own solvers, there is no
* need to give a vector memory
* object.
*
* The last argument takes a structure
* with additional, solver dependent
* flags for tuning.
*/
SolverCG (SolverControl &cn,
const AdditionalData &data = AdditionalData());
protected:
/**
* Store a copy of the flags for this
* particular solver.
*/
const AdditionalData additional_data;
};
/**
* An implementation of the solver interface using the Trilinos CGS
* solver.
*
* @ingroup TrilinosWrappers
* @author Martin Kronbichler, 2008
*/
class SolverCGS : public SolverBase
{
public:
/**
* Standardized data struct to
* pipe additional data to the
* solver.
*/
struct AdditionalData
{
/**
* Sets the additional data field to
* the desired output format.
*/
AdditionalData (const bool output_solver_details = false);
/**
* Enables/disables the output of
* solver details (residual in each
* iterations etc.).
*/
bool output_solver_details;
};
/**
* Constructor. In contrast to
* deal.II's own solvers, there is no
* need to give a vector memory
* object.
*
* The last argument takes a structure
* with additional, solver dependent
* flags for tuning.
*/
SolverCGS (SolverControl &cn,
const AdditionalData &data = AdditionalData());
protected:
/**
* Store a copy of the flags for this
* particular solver.
*/
const AdditionalData additional_data;
};
/**
* An implementation of the solver interface using the Trilinos GMRES
* solver.
*
* @author Martin Kronbichler, 2008
*/
class SolverGMRES : public SolverBase
{
public:
/**
* Standardized data struct to
* pipe additional data to the
* solver.
*/
struct AdditionalData
{
/**
* Constructor. By default, set the
* number of temporary vectors to
* 30, i.e. do a restart every 30
* iterations.
*/
AdditionalData (const bool output_solver_details = false,
const unsigned int restart_parameter = 30);
/**
* Enables/disables the output of
* solver details (residual in each
* iterations etc.).
*/
bool output_solver_details;
/**
* Maximum number of
* tmp vectors.
*/
unsigned int restart_parameter;
};
/**
* Constructor. In contrast to
* deal.II's own solvers, there is no
* need to give a vector memory
* object.
*
* The last argument takes a structure
* with additional, solver dependent
* flags for tuning.
*/
SolverGMRES (SolverControl &cn,
const AdditionalData &data = AdditionalData());
protected:
/**
* Store a copy of the flags for this
* particular solver.
*/
const AdditionalData additional_data;
};
/**
* An implementation of the solver interface using the Trilinos BiCGStab
* solver.
*
* @ingroup TrilinosWrappers
* @author Martin Kronbichler, 2008
*/
class SolverBicgstab : public SolverBase
{
public:
/**
* Standardized data struct to
* pipe additional data to the
* solver.
*/
struct AdditionalData
{
/**
* Sets the additional data field to
* the desired output format.
*/
AdditionalData (const bool output_solver_details = false);
/**
* Enables/disables the output of
* solver details (residual in each
* iterations etc.).
*/
bool output_solver_details;
};
/**
* Constructor. In contrast to
* deal.II's own solvers, there is no
* need to give a vector memory
* object.
*
* The last argument takes a structure
* with additional, solver dependent
* flags for tuning.
*/
SolverBicgstab (SolverControl &cn,
const AdditionalData &data = AdditionalData());
protected:
/**
* Store a copy of the flags for this
* particular solver.
*/
const AdditionalData additional_data;
};
/**
* An implementation of the solver interface using the Trilinos TFQMR
* solver.
*
* @ingroup TrilinosWrappers
* @author Martin Kronbichler, 2008
*/
class SolverTFQMR : public SolverBase
{
public:
/**
* Standardized data struct to
* pipe additional data to the
* solver.
*/
struct AdditionalData
{
/**
* Sets the additional data field to
* the desired output format.
*/
AdditionalData (const bool output_solver_details = false);
/**
* Enables/disables the output of
* solver details (residual in each
* iterations etc.).
*/
bool output_solver_details;
};
/**
* Constructor. In contrast to
* deal.II's own solvers, there is no
* need to give a vector memory
* object.
*
* The last argument takes a structure
* with additional, solver dependent
* flags for tuning.
*/
SolverTFQMR (SolverControl &cn,
const AdditionalData &data = AdditionalData());
protected:
/**
* Store a copy of the flags for this
* particular solver.
*/
const AdditionalData additional_data;
};
/**
* An implementation of the Trilinos KLU direct solver (using the Amesos
* package).
*
* @ingroup TrilinosWrappers
* @author Martin Kronbichler, 2009
*/
class SolverDirect
{
public:
/**
* Standardized data struct to
* pipe additional data to the
* solver.
*/
struct AdditionalData
{
/**
* Sets the additional data field to
* the desired output format.
*/
AdditionalData (const bool output_solver_details = false);
/**
* Enables/disables the output of
* solver details (residual in each
* iterations etc.).
*/
bool output_solver_details;
};
/**
* Constructor. Takes the
* solver control object and
* creates the solver.
*/
SolverDirect (SolverControl &cn,
const AdditionalData &data = AdditionalData());
/**
* Destructor.
*/
virtual ~SolverDirect ();
/**
* Solve the linear system
* <tt>Ax=b</tt>. Creates a KLU
* factorization of the matrix and
* performs the solve. Note that
* there is no need for a
* preconditioner here.
*/
void
solve (const SparseMatrix &A,
VectorBase &x,
const VectorBase &b);
/**
* Solve the linear system
* <tt>Ax=b</tt>. Depending on the
* information provided by derived
* classes and the object passed as a
* preconditioner, one of the linear
* solvers and preconditioners of
* Trilinos is chosen. This class
* works with matrices according to
* the TrilinosWrappers format, but
* can take deal.II vectors as
* argument. Since deal.II are serial
* vectors (not distributed), this
* function does only what you expect
* in case the matrix is locally
* owned. Otherwise, an exception
* will be thrown.
*/
void
solve (const SparseMatrix &A,
dealii::Vector<double> &x,
const dealii::Vector<double> &b);
/**
* Access to object that controls
* convergence.
*/
SolverControl &control() const;
/**
* Exception
*/
DeclException1 (ExcTrilinosError,
int,
<< "An error with error number " << arg1
<< " occurred while calling a Trilinos function");
private:
/**
* Reference to the object that
* controls convergence of the
* iterative solver. In fact,
* for these Trilinos wrappers,
* Trilinos does so itself, but
* we copy the data from this
* object before starting the
* solution process, and copy
* the data back into it
* afterwards.
*/
SolverControl &solver_control;
/**
* A structure that collects
* the Trilinos sparse matrix,
* the right hand side vector
* and the solution vector,
* which is passed down to the
* Trilinos solver.
*/
std_cxx1x::shared_ptr<Epetra_LinearProblem> linear_problem;
/**
* A structure that contains
* the Trilinos solver and
* preconditioner objects.
*/
std_cxx1x::shared_ptr<Amesos_BaseSolver> solver;
/**
* Store a copy of the flags for this
* particular solver.
*/
const AdditionalData additional_data;
};
}
DEAL_II_NAMESPACE_CLOSE
#endif // DEAL_II_WITH_TRILINOS
/*---------------------------- trilinos_solver.h ---------------------------*/
#endif
/*---------------------------- trilinos_solver.h ---------------------------*/
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