Reference documentation for deal.II version 9.3.3
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Classes | Public Member Functions | Protected Member Functions | Protected Attributes | Static Private Member Functions | Private Attributes | List of all members
PETScWrappers::SparseDirectMUMPS Class Reference
Linear algebra classes » PETScWrappers

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

Inheritance diagram for PETScWrappers::SparseDirectMUMPS:
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Classes

struct  AdditionalData
 
struct  SolverDataMUMPS
 

Public Member Functions

 SparseDirectMUMPS (SolverControl &cn, const MPI_Comm &mpi_communicator=PETSC_COMM_SELF, const AdditionalData &data=AdditionalData())
 
void solve (const MatrixBase &A, VectorBase &x, const VectorBase &b)
 
void set_symmetric_mode (const bool flag)
 
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 override
 

Protected Attributes

const AdditionalData additional_data
 
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< SolverDataMUMPS > solver_data
 
bool symmetric_mode
 

Detailed Description

An implementation of the solver interface using the sparse direct MUMPS solver through PETSc. This class has the usual interface of all other solver classes but it is of course different in that it doesn't implement an iterative solver. As a consequence, things like the SolverControl object have no particular meaning here.

MUMPS allows to make use of symmetry in this matrix. In this class this is made possible by the set_symmetric_mode() function. If your matrix is symmetric, you can use this class as follows:

SolverControl cn;
PETScWrappers::SparseDirectMUMPS solver(cn, mpi_communicator);
solver.set_symmetric_mode(true);
solver.solve(system_matrix, solution, system_rhs);
PETScWrappers::SolverBase::mpi_communicator
const MPI_Comm mpi_communicator
Definition: petsc_solver.h:186
Note
The class internally calls KSPSetFromOptions thus you are able to use all the PETSc parameters for MATSOLVERMUMPS package. See http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/Mat/MATSOLVERMUMPS.html

Definition at line 923 of file petsc_solver.h.

Constructor & Destructor Documentation

◆ SparseDirectMUMPS()

PETScWrappers::SparseDirectMUMPS::SparseDirectMUMPS ( SolverControl &  cn,
const MPI_Comm &  mpi_communicator = PETSC_COMM_SELF,
const AdditionalData &  data = AdditionalData() 
)

Constructor

Definition at line 634 of file petsc_solver.cc.

Member Function Documentation

◆ solve() [1/2]

void PETScWrappers::SparseDirectMUMPS::solve ( const MatrixBase &  A,
VectorBase &  x,
const VectorBase &  b 
)

The method to solve the linear system.

Definition at line 671 of file petsc_solver.cc.

◆ set_symmetric_mode()

void PETScWrappers::SparseDirectMUMPS::set_symmetric_mode ( const bool  flag)

The method allows to take advantage if the system matrix is symmetric by using LDL^T decomposition instead of more expensive LU. The argument indicates whether the matrix is symmetric or not.

Definition at line 884 of file petsc_solver.cc.

◆ set_solver_type()

void PETScWrappers::SparseDirectMUMPS::set_solver_type ( KSP &  ksp) const
overrideprotectedvirtual

Function that takes a Krylov Subspace Solver context object, and sets the type of solver that is requested by the derived class.

Implements PETScWrappers::SolverBase.

Definition at line 644 of file petsc_solver.cc.

◆ convergence_test()

PetscErrorCode PETScWrappers::SparseDirectMUMPS::convergence_test ( KSP  ksp,
const PetscInt  iteration,
const PetscReal  residual_norm,
KSPConvergedReason *  reason,
void *  solver_control 
)
staticprivate

A function that is used in PETSc as a callback to check 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 847 of file petsc_solver.cc.

◆ solve() [2/2]

void SolverBase< VectorType >::solve ( const MatrixBase &  A,
VectorBase &  x,
const VectorBase &  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 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.

◆ reset()

void SolverBase< VectorType >::reset ( )
virtualinherited

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

Definition at line 161 of file petsc_solver.cc.

◆ set_prefix()

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

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

Definition at line 154 of file petsc_solver.cc.

◆ control()

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

Access to object that controls convergence.

Definition at line 168 of file petsc_solver.cc.

◆ initialize()

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

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.

Member Data Documentation

◆ additional_data

const AdditionalData PETScWrappers::SparseDirectMUMPS::additional_data
protected

Store a copy of flags for this particular solver.

Definition at line 956 of file petsc_solver.h.

◆ solver_data

std::unique_ptr<SolverDataMUMPS> PETScWrappers::SparseDirectMUMPS::solver_data
private

Definition at line 991 of file petsc_solver.h.

◆ symmetric_mode

bool PETScWrappers::SparseDirectMUMPS::symmetric_mode
private

Flag specifies whether matrix being factorized is symmetric or not. It influences the type of the used preconditioner (PCLU or PCCHOLESKY)

Definition at line 997 of file petsc_solver.h.

◆ solver_control

SolverControl& PETScWrappers::SolverBase::solver_control
protectedinherited

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.

◆ mpi_communicator

const MPI_Comm PETScWrappers::SolverBase::mpi_communicator
protectedinherited

Copy of the MPI communicator object to be used for the solver.

Definition at line 186 of file petsc_solver.h.

◆ prefix_name

std::string PETScWrappers::SolverBase::prefix_name
protectedinherited

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.

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