MKL Parallel Direct Sparse Solver PARDISO. More...

#include <pardiso.hpp>

Inheritance diagram for mfem::PardisoSolver:

Collaboration diagram for mfem::PardisoSolver:

Public Types
enum	MatType { REAL_STRUCTURE_SYMMETRIC = 1 , REAL_SYMMETRIC_POSITIVE_DEFINITE = 2 , REAL_SYMMETRIC_INDEFINITE = -2 , REAL_NONSYMMETRIC = 11 }

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 Member Functions
	PardisoSolver ()
	Construct a new PardisoSolver object.

void	SetOperator (const Operator &op) override
	Set the Operator object and perform factorization.

void	Mult (const Vector &b, Vector &x) const override
	Solve.

void	SetPrintLevel (int print_lvl)
	Set the print level for MKL Pardiso.

void	SetMatrixType (MatType mat_type)
	Set the matrix type.

	~PardisoSolver ()

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	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.

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 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::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::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.

Detailed Description

MKL Parallel Direct Sparse Solver PARDISO.

Interface to MKL PARDISO: the direct sparse solver based on PARDISO

Definition at line 29 of file pardiso.hpp.

Member Enumeration Documentation

◆ MatType

enum mfem::PardisoSolver::MatType

Enumerator
REAL_STRUCTURE_SYMMETRIC
REAL_SYMMETRIC_POSITIVE_DEFINITE
REAL_SYMMETRIC_INDEFINITE
REAL_NONSYMMETRIC

Definition at line 32 of file pardiso.hpp.

Constructor & Destructor Documentation

◆ PardisoSolver()

mfem::PardisoSolver::PardisoSolver ( )

Construct a new PardisoSolver object.

Definition at line 21 of file pardiso.cpp.

◆ ~PardisoSolver()

mfem::PardisoSolver::~PardisoSolver ( )

Definition at line 132 of file pardiso.cpp.

Member Function Documentation

◆ Mult()

void mfem::PardisoSolver::Mult	(	const Vector &	b,
		Vector &	x ) const

overridevirtual

Solve.

Parameters

b	RHS vector
x	Solution vector

Implements mfem::Operator.

Definition at line 111 of file pardiso.cpp.

◆ SetMatrixType()

void mfem::PardisoSolver::SetMatrixType ( MatType mat_type )

Set the matrix type.

The matrix type supported is either real and symmetric or real and non-symmetric.

Parameters

mat_type Matrix type

Definition at line 127 of file pardiso.cpp.

◆ SetOperator()

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

overridevirtual

Set the Operator object and perform factorization.

op needs to be of type SparseMatrix.

Parameters

op	Operator to use in factorization and solve

Implements mfem::Solver.

Definition at line 58 of file pardiso.cpp.

◆ SetPrintLevel()

void mfem::PardisoSolver::SetPrintLevel ( int print_lvl )

Set the print level for MKL Pardiso.

Prints statistics after the factorization and after each solve.

Parameters

print_lvl Print level

Definition at line 122 of file pardiso.cpp.

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

linalg/pardiso.hpp
linalg/pardiso.cpp

Public Types

Public Member Functions

Additional Inherited Members

Detailed Description

Member Enumeration Documentation

◆ MatType

Constructor & Destructor Documentation

◆ PardisoSolver()

◆ ~PardisoSolver()

Member Function Documentation

◆ Mult()

◆ SetMatrixType()

◆ SetOperator()

◆ SetPrintLevel()