#include <strumpack.hpp>

Inheritance diagram for mfem::STRUMPACKSolver:

Collaboration diagram for mfem::STRUMPACKSolver:

Public Member Functions
	STRUMPACKSolver (int argc, char *argv[], MPI_Comm comm)

	STRUMPACKSolver (STRUMPACKRowLocMatrix &A)

	~STRUMPACKSolver (void)

void	Mult (const Vector &x, Vector &y) const
	Operator application: `y=A(x)`. More...

void	SetOperator (const Operator &op)
	Set/update the solver for the given operator. More...

void	SetFromCommandLine ()

void	SetPrintFactorStatistics (bool print_stat)

void	SetPrintSolveStatistics (bool print_stat)

void	SetRelTol (double rtol)

void	SetAbsTol (double atol)

void	SetKrylovSolver (strumpack::KrylovSolver method)

void	SetReorderingStrategy (strumpack::ReorderingStrategy method)

void	SetMC64Job (strumpack::MC64Job job)

Public Member Functions inherited from mfem::Solver
	Solver (int s=0, bool iter_mode=false)
	Initialize a square Solver with size s. More...

	Solver (int h, int w, bool iter_mode=false)
	Initialize a Solver with height h and width w. More...

Public Member Functions inherited from mfem::Operator
	Operator (int s=0)
	Construct a square Operator with given size s (default 0). More...

	Operator (int h, int w)
	Construct an Operator with the given height (output size) and width (input size). More...

int	Height () const
	Get the height (size of output) of the Operator. Synonym with NumRows(). More...

int	NumRows () const
	Get the number of rows (size of output) of the Operator. Synonym with Height(). More...

int	Width () const
	Get the width (size of input) of the Operator. Synonym with NumCols(). More...

int	NumCols () const
	Get the number of columns (size of input) of the Operator. Synonym with Width(). More...

virtual void	MultTranspose (const Vector &x, Vector &y) const
	Action of the transpose operator: `y=A^t(x)`. The default behavior in class Operator is to generate an error. More...

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. More...

virtual const Operator *	GetProlongation () const
	Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. `NULL` means identity. More...

virtual const Operator *	GetRestriction () const
	Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. `NULL` means identity. More...

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. More...

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(). More...

void	PrintMatlab (std::ostream &out, int n=0, int m=0) const
	Prints operator with input size n and output size m in Matlab format. More...

virtual	~Operator ()
	Virtual destructor. More...

Type	GetType () const
	Return the type ID of the Operator class. More...

Protected Attributes
MPI_Comm	comm_

int	numProcs_

int	myid_

bool	factor_verbose_

bool	solve_verbose_

const STRUMPACKRowLocMatrix *	APtr_

strumpack::StrumpackSparseSolverMPIDist < double, int > *	solver_

Protected Attributes inherited from mfem::Operator
int	height
	Dimension of the output / number of rows in the matrix. More...

int	width
	Dimension of the input / number of columns in the matrix. More...

Additional Inherited Members
Public Types inherited from mfem::Operator
enum	Type { ANY_TYPE, MFEM_SPARSEMAT, Hypre_ParCSR, PETSC_MATAIJ, PETSC_MATIS, PETSC_MATSHELL, PETSC_MATNEST, PETSC_MATHYPRE, PETSC_MATGENERIC }
	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. More...

Detailed Description

The MFEM STRUMPACK Direct Solver class.

The mfem::STRUMPACKSolver class uses the STRUMPACK library to perform LU factorization of a parallel sparse matrix. The solver is capable of handling double precision types. See http://portal.nersc.gov/project/sparse/strumpack

Definition at line 69 of file strumpack.hpp.

Constructor & Destructor Documentation

mfem::STRUMPACKSolver::STRUMPACKSolver	(	int	argc,
		char *	argv[],
		MPI_Comm	comm
	)

Definition at line 86 of file strumpack.cpp.

mfem::STRUMPACKSolver::STRUMPACKSolver ( STRUMPACKRowLocMatrix & A )

Definition at line 94 of file strumpack.cpp.

mfem::STRUMPACKSolver::~STRUMPACKSolver ( void )

Definition at line 105 of file strumpack.cpp.

Member Function Documentation

void mfem::STRUMPACKSolver::Mult	(	const Vector &	x,
		Vector &	y
	)		const

virtual

Operator application: y=A(x).

Implements mfem::Operator.

Definition at line 164 of file strumpack.cpp.

void mfem::STRUMPACKSolver::SetAbsTol ( double atol )

Definition at line 158 of file strumpack.cpp.

void mfem::STRUMPACKSolver::SetFromCommandLine ( )

Definition at line 122 of file strumpack.cpp.

void mfem::STRUMPACKSolver::SetKrylovSolver ( strumpack::KrylovSolver method )

STRUMPACK is an (approximate) direct solver. It can be used as a direct solver or as a preconditioner. To use STRUMPACK as only a preconditioner, set the Krylov solver to DIRECT. STRUMPACK also provides iterative solvers which can use the preconditioner, and these iterative solvers can also be used without preconditioner.

Supported values are: AUTO: Use iterative refinement if no HSS compression is used, otherwise use GMRes. DIRECT: No outer iterative solver, just a single application of the multifrontal solver. REFINE: Iterative refinement. PREC_GMRES: Preconditioned GMRes. The preconditioner is the (approx) multifrontal solver. GMRES: UN-preconditioned GMRes. (for testing mainly) PREC_BICGSTAB: Preconditioned BiCGStab. The preconditioner is the (approx) multifrontal solver. BICGSTAB: UN-preconditioned BiCGStab. (for testing mainly)

Definition at line 137 of file strumpack.cpp.

void mfem::STRUMPACKSolver::SetMC64Job ( strumpack::MC64Job job )

MC64 performs (static) pivoting. Using a matching algorithm, it permutes the sparse input matrix in order to get nonzero elements on the diagonal. If the input matrix is already diagonally dominant, this reordering can be disabled. Possible values are: NONE: Don't do anything MAX_CARDINALITY: Maximum cardinality MAX_SMALLEST_DIAGONAL: Maximize smallest diagonal value MAX_SMALLEST_DIAGONAL_2: Same as MAX_SMALLEST_DIAGONAL, but different algorithm MAX_DIAGONAL_SUM: Maximize sum of diagonal values MAX_DIAGONAL_PRODUCT_SCALING: Maximize the product of the diagonal values and perform row & column scaling

Definition at line 148 of file strumpack.cpp.

void mfem::STRUMPACKSolver::SetOperator ( const Operator & op )

virtual

Set/update the solver for the given operator.

Implements mfem::Solver.

Definition at line 198 of file strumpack.cpp.

void mfem::STRUMPACKSolver::SetPrintFactorStatistics ( bool print_stat )

Definition at line 127 of file strumpack.cpp.

void mfem::STRUMPACKSolver::SetPrintSolveStatistics ( bool print_stat )

Definition at line 132 of file strumpack.cpp.

void mfem::STRUMPACKSolver::SetRelTol ( double rtol )

Definition at line 153 of file strumpack.cpp.

void mfem::STRUMPACKSolver::SetReorderingStrategy ( strumpack::ReorderingStrategy method )

Supported reorderings are: METIS, PARMETIS, SCOTCH, PTSCOTCH, RCM

Definition at line 142 of file strumpack.cpp.

Member Data Documentation

const STRUMPACKRowLocMatrix* mfem::STRUMPACKSolver::APtr_

protected

Definition at line 152 of file strumpack.hpp.

MPI_Comm mfem::STRUMPACKSolver::comm_

protected

Definition at line 145 of file strumpack.hpp.

bool mfem::STRUMPACKSolver::factor_verbose_

protected

Definition at line 149 of file strumpack.hpp.

int mfem::STRUMPACKSolver::myid_

protected

Definition at line 147 of file strumpack.hpp.

int mfem::STRUMPACKSolver::numProcs_

protected

Definition at line 146 of file strumpack.hpp.

bool mfem::STRUMPACKSolver::solve_verbose_

protected

Definition at line 150 of file strumpack.hpp.

strumpack::StrumpackSparseSolverMPIDist<double,int>* mfem::STRUMPACKSolver::solver_

protected

Definition at line 153 of file strumpack.hpp.

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

linalg/strumpack.hpp
linalg/strumpack.cpp

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation