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MFEM v4.7.0
Finite element discretization library
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MFEM v4.7.0
Finite element discretization library
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Abstract class for PETSc's preconditioners. More...
#include <petsc.hpp>
Public Member Functions | |
| PetscPreconditioner (MPI_Comm comm, const std::string &prefix=std::string()) | |
| PetscPreconditioner (PetscParMatrix &A, const std::string &prefix=std::string()) | |
| PetscPreconditioner (MPI_Comm comm, Operator &op, const std::string &prefix=std::string()) | |
| virtual | ~PetscPreconditioner () |
| virtual void | SetOperator (const Operator &op) |
| Set/update the solver for the given operator. | |
| virtual void | Mult (const Vector &b, Vector &x) const |
| Application of the preconditioner. | |
| virtual void | MultTranspose (const Vector &b, Vector &x) const |
Action of the transpose operator: y=A^t(x). The default behavior in class Operator is to generate an error. | |
| operator petsc::PC () const | |
| Conversion function to PETSc's PC type. | |
 Public Member Functions inherited from mfem::PetscSolver | |
| PetscSolver () | |
| Construct an empty PetscSolver. Initialize protected objects to NULL. | |
| virtual | ~PetscSolver () |
| Destroy the PetscParVectors allocated (if any). | |
| void | Customize (bool customize=true) const |
| Customize object with options set. | |
| int | GetConverged () |
| int | GetNumIterations () |
| real_t | GetFinalNorm () |
| void | SetMonitor (PetscSolverMonitor *ctx) |
| Sets user-defined monitoring routine. | |
| void | SetBCHandler (PetscBCHandler *bch) |
| Sets the object to handle essential boundary conditions. | |
| void | SetPreconditionerFactory (PetscPreconditionerFactory *factory) |
| Sets the object for the creation of the preconditioner. | |
| operator PetscObject () const | |
| Conversion function to PetscObject. | |
| MPI_Comm | GetComm () const |
| Get the associated MPI communicator. | |
| void | SetTol (real_t tol) |
| void | SetRelTol (real_t tol) |
| void | SetAbsTol (real_t tol) |
| void | SetMaxIter (int max_iter) |
| void | SetPrintLevel (int plev) |
| Public Member Functions inherited from mfem::Solver | |
| Solver (int s=0, bool iter_mode=false) | |
| Initialize a square Solver with size s. | |
| Solver (int h, int w, bool iter_mode=false) | |
| Initialize a Solver with height h and width w. | |
| Public Member Functions inherited from mfem::Operator | |
| void | InitTVectors (const Operator *Po, const Operator *Ri, const Operator *Pi, Vector &x, Vector &b, Vector &X, Vector &B) const |
| Initializes memory for true vectors of linear system. | |
| Operator (int s=0) | |
| Construct a square Operator with given size s (default 0). | |
| Operator (int h, int w) | |
| Construct an Operator with the given height (output size) and width (input size). | |
| int | Height () const |
| Get the height (size of output) of the Operator. Synonym with NumRows(). | |
| int | NumRows () const |
| Get the number of rows (size of output) of the Operator. Synonym with Height(). | |
| int | Width () const |
| Get the width (size of input) of the Operator. Synonym with NumCols(). | |
| int | NumCols () const |
| Get the number of columns (size of input) of the Operator. Synonym with Width(). | |
| virtual MemoryClass | GetMemoryClass () const |
| Return the MemoryClass preferred by the Operator. | |
| virtual void | AddMult (const Vector &x, Vector &y, const real_t a=1.0) const |
Operator application: y+=A(x) (default) or y+=a*A(x). | |
| virtual void | AddMultTranspose (const Vector &x, Vector &y, const real_t a=1.0) const |
Operator transpose application: y+=A^t(x) (default) or y+=a*A^t(x). | |
| virtual void | ArrayMult (const Array< const Vector * > &X, Array< Vector * > &Y) const |
Operator application on a matrix: Y=A(X). | |
| virtual void | ArrayMultTranspose (const Array< const Vector * > &X, Array< Vector * > &Y) const |
Action of the transpose operator on a matrix: Y=A^t(X). | |
| virtual void | ArrayAddMult (const Array< const Vector * > &X, Array< Vector * > &Y, const real_t a=1.0) const |
Operator application on a matrix: Y+=A(X) (default) or Y+=a*A(X). | |
| virtual void | ArrayAddMultTranspose (const Array< const Vector * > &X, Array< Vector * > &Y, const real_t a=1.0) const |
Operator transpose application on a matrix: Y+=A^t(X) (default) or Y+=a*A^t(X). | |
| virtual Operator & | GetGradient (const Vector &x) const |
| Evaluate the gradient operator at the point x. The default behavior in class Operator is to generate an error. | |
| virtual void | AssembleDiagonal (Vector &diag) const |
| Computes the diagonal entries into diag. Typically, this operation only makes sense for linear Operators. In some cases, only an approximation of the diagonal is computed. | |
| virtual const Operator * | GetProlongation () const |
Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. NULL means identity. | |
| virtual const Operator * | GetRestriction () const |
Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. NULL means identity. | |
| virtual const Operator * | GetOutputProlongation () const |
Prolongation operator from linear algebra (linear system) vectors, to output vectors for the operator. NULL means identity. | |
| virtual const Operator * | GetOutputRestrictionTranspose () const |
| Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators. | |
| virtual const Operator * | GetOutputRestriction () const |
Restriction operator from output vectors for the operator to linear algebra (linear system) vectors. NULL means identity. | |
| void | FormLinearSystem (const Array< int > &ess_tdof_list, Vector &x, Vector &b, Operator *&A, Vector &X, Vector &B, int copy_interior=0) |
| Form a constrained linear system using a matrix-free approach. | |
| void | FormRectangularLinearSystem (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Vector &x, Vector &b, Operator *&A, Vector &X, Vector &B) |
| Form a column-constrained linear system using a matrix-free approach. | |
| virtual void | RecoverFEMSolution (const Vector &X, const Vector &b, Vector &x) |
| Reconstruct a solution vector x (e.g. a GridFunction) from the solution X of a constrained linear system obtained from Operator::FormLinearSystem() or Operator::FormRectangularLinearSystem(). | |
| void | FormSystemOperator (const Array< int > &ess_tdof_list, Operator *&A) |
| Return in A a parallel (on truedofs) version of this square operator. | |
| void | FormRectangularSystemOperator (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Operator *&A) |
| Return in A a parallel (on truedofs) version of this rectangular operator (including constraints). | |
| void | FormDiscreteOperator (Operator *&A) |
| Return in A a parallel (on truedofs) version of this rectangular operator. | |
| void | PrintMatlab (std::ostream &out, int n, int m=0) const |
| Prints operator with input size n and output size m in Matlab format. | |
| virtual void | PrintMatlab (std::ostream &out) const |
| Prints operator in Matlab format. | |
| virtual | ~Operator () |
| Virtual destructor. | |
| Type | GetType () const |
| Return the type ID of the Operator class. | |
Additional Inherited Members | |
| Public Types inherited from mfem::Operator | |
| enum | DiagonalPolicy { DIAG_ZERO , DIAG_ONE , DIAG_KEEP } |
| Defines operator diagonal policy upon elimination of rows and/or columns. More... | |
| enum | Type { ANY_TYPE , MFEM_SPARSEMAT , Hypre_ParCSR , PETSC_MATAIJ , PETSC_MATIS , PETSC_MATSHELL , PETSC_MATNEST , PETSC_MATHYPRE , PETSC_MATGENERIC , Complex_Operator , MFEM_ComplexSparseMat , Complex_Hypre_ParCSR , Complex_DenseMat , MFEM_Block_Matrix , MFEM_Block_Operator } |
| Enumeration defining IDs for some classes derived from Operator. More... | |
| Public Attributes inherited from mfem::Solver | |
| bool | iterative_mode |
| If true, use the second argument of Mult() as an initial guess. | |
| Protected Member Functions inherited from mfem::PetscSolver | |
| void | CreatePrivateContext () |
| void | FreePrivateContext () |
| Protected Member Functions inherited from mfem::Operator | |
| void | FormConstrainedSystemOperator (const Array< int > &ess_tdof_list, ConstrainedOperator *&Aout) |
| see FormSystemOperator() | |
| void | FormRectangularConstrainedSystemOperator (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, RectangularConstrainedOperator *&Aout) |
| see FormRectangularSystemOperator() | |
| Operator * | SetupRAP (const Operator *Pi, const Operator *Po) |
| Returns RAP Operator of this, using input/output Prolongation matrices Pi corresponds to "P", Po corresponds to "Rt". | |
| Protected Attributes inherited from mfem::PetscSolver | |
| bool | clcustom |
| Boolean to handle SetFromOptions calls. | |
| PetscObject | obj |
| The actual PETSc object (KSP, PC, SNES or TS). | |
| PetscClassId | cid |
| The class id of the actual PETSc object. | |
| PetscParVector * | B |
| Right-hand side and solution vector. | |
| PetscParVector * | X |
| PetscBCHandler * | bchandler |
| Handler for boundary conditions. | |
| void * | private_ctx |
| Private context for solver. | |
| bool | operatorset |
| Boolean to handle SetOperator calls. | |
| Protected Attributes inherited from mfem::Operator | |
| int | height |
| Dimension of the output / number of rows in the matrix. | |
| int | width |
| Dimension of the input / number of columns in the matrix. | |
| mfem::PetscPreconditioner::PetscPreconditioner | ( | MPI_Comm | comm, |
| const std::string & | prefix = std::string() ) |
| mfem::PetscPreconditioner::PetscPreconditioner | ( | PetscParMatrix & | A, |
| const std::string & | prefix = std::string() ) |
| mfem::PetscPreconditioner::PetscPreconditioner | ( | MPI_Comm | comm, |
| Operator & | op, | ||
| const std::string & | prefix = std::string() ) |
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virtual |
Application of the preconditioner.
Implements mfem::Operator.
Action of the transpose operator: y=A^t(x). The default behavior in class Operator is to generate an error.
Reimplemented from mfem::Operator.
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inline |
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virtual |
Set/update the solver for the given operator.
Implements mfem::Solver.
1.11.0