Reference documentation for deal.II version 9.3.0

#include <deal.II/lac/petsc_solver.h>
Classes  
struct  SolverData 
Public Member Functions  
SolverBase (SolverControl &cn, const MPI_Comm &mpi_communicator)  
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) 
SolverControl &  control () const 
void  initialize (const PreconditionBase &preconditioner) 
Protected Member Functions  
virtual void  set_solver_type (KSP &ksp) const =0 
Protected Attributes  
SolverControl &  solver_control 
const MPI_Comm  mpi_communicator 
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< SolverData >  solver_data 
Friends  
class  SLEPcWrappers::TransformationBase 
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.
One of the gotchas of PETSc is that – in particular in MPI mode – it often does not produce very helpful error messages. In order to save other users some time in searching a hard to track down error, here is one situation and the error message one gets there: when you don't specify an MPI communicator to your solver's constructor. In this case, you will get an error of the following form from each of your parallel processes:
* [1]PETSC ERROR: PCSetVector() line 1173 in src/ksp/pc/interface/precon.c * [1]PETSC ERROR: Arguments must have same communicators! * [1]PETSC ERROR: Different communicators in the two objects: Argument # * 1 and 2! [1]PETSC ERROR: KSPSetUp() line 195 in * src/ksp/ksp/interface/itfunc.c *
This error, on which one can spend a very long time figuring out what exactly goes wrong, results from not specifying an MPI communicator. Note that the communicator must match that of the matrix and all vectors in the linear system which we want to solve. Aggravating the situation is the fact that the default argument to the solver classes, PETSC_COMM_SELF
, is the appropriate argument for the sequential case (which is why it is the default argument), so this error only shows up in parallel mode.
Definition at line 112 of file petsc_solver.h.
SolverBase< VectorType >::SolverBase  (  SolverControl &  cn, 
const MPI_Comm &  mpi_communicator  
) 
Constructor. Takes the solver control object and the MPI communicator over which parallel computations are to happen.
Note that the communicator used here must match the communicator used in the system matrix, solution, and right hand side object of the solve to be done with this solver. Otherwise, PETSc will generate hard to track down errors, see the documentation of the SolverBase class.
Definition at line 45 of file petsc_solver.cc.

virtualdefault 
Destructor.
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 53 of file petsc_solver.cc.

virtual 
Resets the contained preconditioner and solver object. See class description for more details.
Definition at line 161 of file petsc_solver.cc.
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 commandline options.
Definition at line 154 of file petsc_solver.cc.
SolverControl & SolverBase< VectorType >::control  (  )  const 
Access to object that controls convergence.
Definition at line 168 of file petsc_solver.cc.
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 213 of file petsc_solver.cc.

protectedpure virtual 
Function that takes a Krylov Subspace Solver context object, and sets the type of solver that is requested by the derived class.
Implemented in PETScWrappers::SparseDirectMUMPS, PETScWrappers::SolverPreOnly, PETScWrappers::SolverLSQR, PETScWrappers::SolverCR, PETScWrappers::SolverTCQMR, PETScWrappers::SolverTFQMR, PETScWrappers::SolverCGS, PETScWrappers::SolverBicgstab, PETScWrappers::SolverGMRES, PETScWrappers::SolverBiCG, PETScWrappers::SolverCG, PETScWrappers::SolverChebychev, and PETScWrappers::SolverRichardson.

staticprivate 
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 175 of file petsc_solver.cc.

friend 
Definition at line 256 of file petsc_solver.h.

protected 
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 181 of file petsc_solver.h.

protected 
Copy of the MPI communicator object to be used for the solver.
Definition at line 186 of file petsc_solver.h.

protected 
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 201 of file petsc_solver.h.

private 
Pointer to an object that stores the solver context. This is recreated in the main solver routine if necessary.
Definition at line 251 of file petsc_solver.h.