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

Inheritance diagram for TrilinosWrappers::SolverBicgstab:

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

Public Member Functions
	SolverBicgstab (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)

SolverControl &	control () const

template<>
void	set_preconditioner (AztecOO &solver, const PreconditionBase &preconditioner)

template<>
void	set_preconditioner (AztecOO &solver, const Epetra_Operator &preconditioner)

Static Public Member Functions
static ::ExceptionBase &	ExcTrilinosError (int arg1)

Public Attributes
enum TrilinosWrappers::SolverBase::SolverName	solver_name

Protected Attributes
SolverControl &	solver_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 BiCGStab solver.

Definition at line 434 of file trilinos_solver.h.

Member Enumeration Documentation

◆ SolverName

enum TrilinosWrappers::SolverBase::SolverName

inherited

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 88 of file trilinos_solver.h.

Constructor & Destructor Documentation

◆ SolverBicgstab()

SolverBicgstab< VectorType >::SolverBicgstab	(	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 608 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 76 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 96 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 117 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 138 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 159 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 178 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 208 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 68 of file trilinos_solver.cc.

◆ do_solve()

template<typename Preconditioner >

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 415 of file trilinos_solver.cc.

◆ set_preconditioner() [1/3]

template<typename Preconditioner >

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

privateinherited

A function that sets the preconditioner that the solver will apply

◆ set_preconditioner() [2/3]

template<>

void SolverBase::set_preconditioner	(	AztecOO &	solver,
		const PreconditionBase &	preconditioner
	)

inherited

Definition at line 565 of file trilinos_solver.cc.

◆ set_preconditioner() [3/3]

template<>

void SolverBase::set_preconditioner	(	AztecOO &	solver,
		const Epetra_Operator &	preconditioner
	)

inherited

Definition at line 583 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 312 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 335 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 341 of file trilinos_solver.h.

◆ solver

AztecOO TrilinosWrappers::SolverBase::solver

privateinherited

A structure that contains the Trilinos solver and preconditioner objects.

Definition at line 347 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 352 of file trilinos_solver.h.

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

include/deal.II/lac/trilinos_solver.h
source/lac/trilinos_solver.cc

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Protected Attributes

Private Member Functions

Private Attributes

Detailed Description

Member Enumeration Documentation

◆ SolverName

Constructor & Destructor Documentation

◆ SolverBicgstab()

Member Function Documentation

◆ solve() [1/9]

◆ solve() [2/9]

◆ solve() [3/9]

◆ solve() [4/9]

◆ solve() [5/9]

◆ solve() [6/9]

◆ solve() [7/9]

◆ solve() [8/9]

◆ solve() [9/9]

◆ control()

◆ do_solve()

◆ set_preconditioner() [1/3]

◆ set_preconditioner() [2/3]

◆ set_preconditioner() [3/3]

Member Data Documentation

◆ solver_name

◆ solver_control

◆ linear_problem

◆ status_test

◆ solver

◆ additional_data