Reference documentation for deal.II version GIT relicensing-822-gf1642d4ea5 2024-06-12 14:10:02+00:00
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Public Types | Public Member Functions | Static Public Member Functions | Public Attributes | Protected Attributes | Private Member Functions | Private Attributes | List of all members
TrilinosWrappers::SolverCG Class Reference

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

Inheritance diagram for TrilinosWrappers::SolverCG:
Inheritance graph
[legend]

Public Types

enum  SolverName {
  cg , cgs , gmres , bicgstab ,
  tfqmr
}
 

Public Member Functions

 SolverCG (SolverControl &cn, const AdditionalData &data=AdditionalData())
 
void solve (const SparseMatrix &A, MPI::Vector &x, const MPI::Vector &b, const PreconditionBase &preconditioner)
 
void solve (const Epetra_Operator &A, MPI::Vector &x, const MPI::Vector &b, const PreconditionBase &preconditioner)
 
void solve (const Epetra_Operator &A, MPI::Vector &x, const MPI::Vector &b, const Epetra_Operator &preconditioner)
 
void solve (const Epetra_Operator &A, Epetra_MultiVector &x, const Epetra_MultiVector &b, const PreconditionBase &preconditioner)
 
void solve (const Epetra_Operator &A, Epetra_MultiVector &x, const Epetra_MultiVector &b, const Epetra_Operator &preconditioner)
 
void solve (const SparseMatrix &A, ::Vector< double > &x, const ::Vector< double > &b, const PreconditionBase &preconditioner)
 
void solve (Epetra_Operator &A, ::Vector< double > &x, const ::Vector< double > &b, const PreconditionBase &preconditioner)
 
void solve (const SparseMatrix &A, ::LinearAlgebra::distributed::Vector< double > &x, const ::LinearAlgebra::distributed::Vector< double > &b, const PreconditionBase &preconditioner)
 
void solve (Epetra_Operator &A, ::LinearAlgebra::distributed::Vector< double > &x, const ::LinearAlgebra::distributed::Vector< double > &b, const PreconditionBase &preconditioner)
 
SolverControlcontrol () const
 
template<>
void set_preconditioner (AztecOO &solver, const PreconditionBase &preconditioner)
 
template<>
void set_preconditioner (AztecOO &solver, const Epetra_Operator &preconditioner)
 
template<>
void set_preconditioner (AztecOO &solver, const PreconditionBase &preconditioner)
 
template<>
void set_preconditioner (AztecOO &solver, const Epetra_Operator &preconditioner)
 

Static Public Member Functions

static ::ExceptionBaseExcTrilinosError (int arg1)
 

Public Attributes

enum TrilinosWrappers::SolverBase::SolverName solver_name
 

Protected Attributes

SolverControlsolver_control
 

Private Member Functions

template<typename Preconditioner >
void do_solve (const Preconditioner &preconditioner)
 
template<typename Preconditioner >
void set_preconditioner (AztecOO &solver, const Preconditioner &preconditioner)
 

Private Attributes

std::unique_ptr< Epetra_LinearProblem > linear_problem
 
std::unique_ptr< AztecOO_StatusTest > status_test
 
AztecOO solver
 
const AdditionalData additional_data
 

Detailed Description

An implementation of the solver interface using the Trilinos CG solver.

Definition at line 374 of file trilinos_solver.h.

Member Enumeration Documentation

◆ SolverName

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:

Enumerator
cg 

Use the conjugate gradient (CG) algorithm.

cgs 

Use the conjugate gradient squared (CGS) algorithm.

gmres 

Use the generalized minimum residual (GMRES) algorithm.

bicgstab 

Use the biconjugate gradient stabilized (BICGStab) algorithm.

tfqmr 

Use the transpose-free quasi-minimal residual (TFQMR) method.

Definition at line 89 of file trilinos_solver.h.

Constructor & Destructor Documentation

◆ SolverCG()

SolverCG< VectorType >::SolverCG ( SolverControl cn,
const AdditionalData data = AdditionalData() 
)

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.

Definition at line 595 of file trilinos_solver.cc.

Member Function Documentation

◆ solve() [1/9]

void SolverBase< VectorType >::solve ( const SparseMatrix A,
MPI::Vector x,
const MPI::Vector b,
const PreconditionBase preconditioner 
)
inherited

Solve the linear system Ax=b. 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.

Definition at line 75 of file trilinos_solver.cc.

◆ solve() [2/9]

void SolverBase< VectorType >::solve ( const Epetra_Operator A,
MPI::Vector x,
const MPI::Vector b,
const PreconditionBase preconditioner 
)
inherited

Solve the linear system Ax=b where A 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.

Definition at line 95 of file trilinos_solver.cc.

◆ solve() [3/9]

void SolverBase< VectorType >::solve ( const Epetra_Operator A,
MPI::Vector x,
const MPI::Vector b,
const Epetra_Operator preconditioner 
)
inherited

Solve the linear system Ax=b where both A and its preconditioner are an operator. This function can be used when both A and the preconditioner are LinearOperators derived from a TrilinosPayload. 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.

Definition at line 116 of file trilinos_solver.cc.

◆ solve() [4/9]

void SolverBase< VectorType >::solve ( const Epetra_Operator A,
Epetra_MultiVector &  x,
const Epetra_MultiVector &  b,
const PreconditionBase preconditioner 
)
inherited

Solve the linear system Ax=b where A is an operator, and the vectors x and b are native Trilinos vector types. This function can be used when A is a LinearOperators derived from a TrilinosPayload. 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.

Definition at line 137 of file trilinos_solver.cc.

◆ solve() [5/9]

void SolverBase< VectorType >::solve ( const Epetra_Operator A,
Epetra_MultiVector &  x,
const Epetra_MultiVector &  b,
const Epetra_Operator preconditioner 
)
inherited

Solve the linear system Ax=b where both A and its preconditioner are an operator, and the vectors x and b are native Trilinos vector types. This function can be used when both A and the preconditioner are LinearOperators derived from a TrilinosPayload. 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.

Definition at line 158 of file trilinos_solver.cc.

◆ solve() [6/9]

void SolverBase< VectorType >::solve ( const SparseMatrix A,
::Vector< double > &  x,
const ::Vector< double > &  b,
const PreconditionBase preconditioner 
)
inherited

Solve the linear system Ax=b. 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.

Definition at line 177 of file trilinos_solver.cc.

◆ solve() [7/9]

void SolverBase< VectorType >::solve ( Epetra_Operator A,
::Vector< double > &  x,
const ::Vector< double > &  b,
const PreconditionBase preconditioner 
)
inherited

Solve the linear system Ax=b where A is an operator. This function can be used for matrix free computations. 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.

Definition at line 207 of file trilinos_solver.cc.

◆ solve() [8/9]

void TrilinosWrappers::SolverBase::solve ( const SparseMatrix A,
::LinearAlgebra::distributed::Vector< double > &  x,
const ::LinearAlgebra::distributed::Vector< double > &  b,
const PreconditionBase preconditioner 
)
inherited

Solve the linear system Ax=b for deal.II's parallel distributed vectors. 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.

◆ solve() [9/9]

void TrilinosWrappers::SolverBase::solve ( Epetra_Operator A,
::LinearAlgebra::distributed::Vector< double > &  x,
const ::LinearAlgebra::distributed::Vector< double > &  b,
const PreconditionBase preconditioner 
)
inherited

Solve the linear system Ax=b where A 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.

◆ control()

SolverControl & SolverBase< VectorType >::control ( ) const
inherited

Access to object that controls convergence.

Definition at line 67 of file trilinos_solver.cc.

◆ do_solve()

template void SolverBase< VectorType >::do_solve ( const Preconditioner preconditioner)
privateinherited

The solve function is used to set properly the Epetra_LinearProblem, once it is done this function solves the linear problem.

Definition at line 416 of file trilinos_solver.cc.

◆ set_preconditioner() [1/5]

void TrilinosWrappers::SolverBase::set_preconditioner ( AztecOO &  solver,
const Preconditioner preconditioner 
)
privateinherited

A function that sets the preconditioner that the solver will apply

◆ set_preconditioner() [2/5]

template<>
void TrilinosWrappers::SolverBase::set_preconditioner ( AztecOO &  solver,
const PreconditionBase preconditioner 
)
inherited

◆ set_preconditioner() [3/5]

template<>
void TrilinosWrappers::SolverBase::set_preconditioner ( AztecOO &  solver,
const Epetra_Operator preconditioner 
)
inherited

◆ set_preconditioner() [4/5]

template<>
void TrilinosWrappers::SolverBase::set_preconditioner ( AztecOO &  solver,
const PreconditionBase preconditioner 
)
inherited

Definition at line 566 of file trilinos_solver.cc.

◆ set_preconditioner() [5/5]

template<>
void TrilinosWrappers::SolverBase::set_preconditioner ( AztecOO &  solver,
const Epetra_Operator preconditioner 
)
inherited

Definition at line 584 of file trilinos_solver.cc.

Member Data Documentation

◆ solver_name

enum TrilinosWrappers::SolverBase::SolverName TrilinosWrappers::SolverBase::solver_name
inherited

◆ solver_control

SolverControl& TrilinosWrappers::SolverBase::solver_control
protectedinherited

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.

Definition at line 313 of file trilinos_solver.h.

◆ linear_problem

std::unique_ptr<Epetra_LinearProblem> TrilinosWrappers::SolverBase::linear_problem
privateinherited

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.

Definition at line 336 of file trilinos_solver.h.

◆ status_test

std::unique_ptr<AztecOO_StatusTest> TrilinosWrappers::SolverBase::status_test
privateinherited

A structure that contains a Trilinos object that can query the linear solver and determine whether the convergence criterion have been met.

Definition at line 342 of file trilinos_solver.h.

◆ solver

AztecOO TrilinosWrappers::SolverBase::solver
privateinherited

A structure that contains the Trilinos solver and preconditioner objects.

Definition at line 348 of file trilinos_solver.h.

◆ additional_data

const AdditionalData TrilinosWrappers::SolverBase::additional_data
privateinherited

Store a copy of the flags for this particular solver.

Definition at line 353 of file trilinos_solver.h.


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