Reference documentation for deal.II version GIT 0980a66d4b 2023-03-23 20:20:03+00:00
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Classes | Public Member Functions | Protected Member Functions | Protected Attributes | Static Private Member Functions | Private Attributes | Friends | List of all members
PETScWrappers::SolverBase Class Referenceabstract

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

Inheritance diagram for PETScWrappers::SolverBase:


struct  SolverData

Public Member Functions

 SolverBase (SolverControl &cn)
virtual ~SolverBase ()=default
void solve (const MatrixBase &A, VectorBase &x, const VectorBase &b, const PreconditionBase &preconditioner)
virtual void reset ()
void set_prefix (const std::string &prefix)
SolverControlcontrol () const
void initialize (const PreconditionBase &preconditioner)

Protected Member Functions

virtual void set_solver_type (KSP &ksp) const =0

Protected Attributes

std::string prefix_name

Static Private Member Functions

static PetscErrorCode convergence_test (KSP ksp, const PetscInt iteration, const PetscReal residual_norm, KSPConvergedReason *reason, void *solver_control)

Private Attributes

std::unique_ptr< SolverDatasolver_data


class SLEPcWrappers::TransformationBase

Detailed Description

Base class for solver classes using the PETSc solvers. Since solvers in PETSc 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.

Optionally, the user can create a solver derived from the SolverBase class and can set the default arguments necessary to solve the linear system of equations with SolverControl. These default options can be overridden by specifying command line arguments of the form -ksp_*. For example, -ksp_monitor_true_residual prints out true residual norm (unpreconditioned) at each iteration and -ksp_view provides information about the linear solver and the preconditioner used in the current context. The type of the solver can also be changed during runtime by specifying -ksp_type {richardson, cg, gmres, fgmres, ..} to dynamically test the optimal solver along with a suitable preconditioner set using -pc_type {jacobi, bjacobi, ilu, lu, ..}. There are several other command line options available to modify the behavior of the PETSc linear solver and can be obtained from the documentation and manual pages.

Repeated calls to solve() on a solver object with a Preconditioner must be used with care. The preconditioner is initialized in the first call to solve() and subsequent calls reuse the solver and preconditioner object. This is done for performance reasons. The solver and preconditioner can be reset by calling reset().

Definition at line 88 of file petsc_solver.h.

Constructor & Destructor Documentation

◆ SolverBase()

SolverBase< VectorType >::SolverBase ( SolverControl cn)


Definition at line 45 of file

◆ ~SolverBase()

virtual PETScWrappers::SolverBase::~SolverBase ( )


Member Function Documentation

◆ solve()

void SolverBase< VectorType >::solve ( const MatrixBase A,
VectorBase x,
const VectorBase b,
const PreconditionBase preconditioner 

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 PETSc is chosen. Repeated calls to solve() do not reconstruct the preconditioner for performance reasons. See class Documentation.

Definition at line 52 of file

◆ reset()

void SolverBase< VectorType >::reset ( )

Resets the contained preconditioner and solver object. See class description for more details.

Definition at line 149 of file

◆ set_prefix()

void SolverBase< VectorType >::set_prefix ( const std::string &  prefix)

Sets a prefix name for the solver object. Useful when customizing the PETSc KSP object with command-line options.

Definition at line 142 of file

◆ control()

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

Access to object that controls convergence.

Definition at line 156 of file

◆ initialize()

void SolverBase< VectorType >::initialize ( const PreconditionBase preconditioner)

initialize the solver with the preconditioner. This function is intended for use with SLEPc spectral transformation class.

Definition at line 203 of file

◆ set_solver_type()

virtual void PETScWrappers::SolverBase::set_solver_type ( KSP &  ksp) const
protectedpure virtual

◆ convergence_test()

int SolverBase< VectorType >::convergence_test ( KSP  ksp,
const PetscInt  iteration,
const PetscReal  residual_norm,
KSPConvergedReason *  reason,
void *  solver_control 

A function that is used in PETSc as a callback to check on convergence. It takes the information provided from PETSc and checks it against deal.II's own SolverControl objects to see if convergence has been reached.

Definition at line 163 of file

Friends And Related Function Documentation

◆ SLEPcWrappers::TransformationBase

friend class SLEPcWrappers::TransformationBase

Definition at line 221 of file petsc_solver.h.

Member Data Documentation

◆ solver_control

SolverControl& PETScWrappers::SolverBase::solver_control

Reference to the object that controls convergence of the iterative solver. In fact, for these PETSc wrappers, PETSc 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 151 of file petsc_solver.h.

◆ prefix_name

std::string PETScWrappers::SolverBase::prefix_name

Solver prefix name to qualify options specific to the PETSc KSP object in the current context. Note: A hyphen (-) must NOT be given at the beginning of the prefix name. The first character of all runtime options is AUTOMATICALLY the hyphen.

Definition at line 166 of file petsc_solver.h.

◆ solver_data

std::unique_ptr<SolverData> PETScWrappers::SolverBase::solver_data

Pointer to an object that stores the solver context. This is recreated in the main solver routine if necessary.

Definition at line 216 of file petsc_solver.h.

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