MFEM v4.7.0 Finite element discretization library
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mfem::UMFPackSolver Class Reference

Direct sparse solver using UMFPACK. More...

#include <solvers.hpp>

Inheritance diagram for mfem::UMFPackSolver:
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Collaboration diagram for mfem::UMFPackSolver:
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## Public Member Functions

UMFPackSolver (bool use_long_ints_=false)
For larger matrices, if the solver fails, set the parameter use_long_ints_ = true.

UMFPackSolver (SparseMatrix &A, bool use_long_ints_=false)
Factorize the given SparseMatrix using the defaults. For larger matrices, if the solver fails, set the parameter use_long_ints_ = true.

virtual void SetOperator (const Operator &op)
Factorize the given Operator op which must be a SparseMatrix.

void SetPrintLevel (int print_lvl)
Set the print level field in the Control data member.

virtual void Mult (const Vector &b, Vector &x) const
Direct solution of the linear system using UMFPACK.

virtual void MultTranspose (const Vector &b, Vector &x) const
Direct solution of the transposed linear system using UMFPACK.

virtual ~UMFPackSolver ()

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 OperatorGetGradient (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 OperatorGetProlongation () const
Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. NULL means identity.

virtual const OperatorGetRestriction () const
Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. NULL means identity.

virtual const OperatorGetOutputProlongation () const
Prolongation operator from linear algebra (linear system) vectors, to output vectors for the operator. NULL means identity.

virtual const OperatorGetOutputRestrictionTranspose () const
Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators.

virtual const OperatorGetOutputRestriction () 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.

## Public Attributes

real_t Control [UMFPACK_CONTROL]

real_t Info [UMFPACK_INFO]

Public Attributes inherited from mfem::Solver
bool iterative_mode
If true, use the second argument of Mult() as an initial guess.

## Protected Member Functions

void Init ()

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()

OperatorSetupRAP (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

bool use_long_ints

SparseMatrixmat

void * Numeric

SuiteSparse_long * AI

SuiteSparse_long * AJ

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.

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...

## Detailed Description

Direct sparse solver using UMFPACK.

Definition at line 1095 of file solvers.hpp.

## ◆ UMFPackSolver() [1/2]

 mfem::UMFPackSolver::UMFPackSolver ( bool use_long_ints_ = false )
inline

For larger matrices, if the solver fails, set the parameter use_long_ints_ = true.

Definition at line 1111 of file solvers.hpp.

## ◆ UMFPackSolver() [2/2]

 mfem::UMFPackSolver::UMFPackSolver ( SparseMatrix & A, bool use_long_ints_ = false )
inline

Factorize the given SparseMatrix using the defaults. For larger matrices, if the solver fails, set the parameter use_long_ints_ = true.

Definition at line 1116 of file solvers.hpp.

## ◆ ~UMFPackSolver()

 mfem::UMFPackSolver::~UMFPackSolver ( )
virtual

Definition at line 3269 of file solvers.cpp.

## ◆ Init()

 void mfem::UMFPackSolver::Init ( )
protected

Definition at line 3087 of file solvers.cpp.

## ◆ Mult()

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

Direct solution of the linear system using UMFPACK.

Implements mfem::Operator.

Definition at line 3197 of file solvers.cpp.

## ◆ MultTranspose()

 void mfem::UMFPackSolver::MultTranspose ( const Vector & b, Vector & x ) const
virtual

Direct solution of the transposed linear system using UMFPACK.

Reimplemented from mfem::Operator.

Definition at line 3232 of file solvers.cpp.

## ◆ SetOperator()

 void mfem::UMFPackSolver::SetOperator ( const Operator & op )
virtual

Factorize the given Operator op which must be a SparseMatrix.

The factorization uses the parameters set in the Control data member.

Note
This method calls SparseMatrix::SortColumnIndices() with op, modifying the matrix if the column indices are not already sorted.

Implements mfem::Solver.

Definition at line 3102 of file solvers.cpp.

## ◆ SetPrintLevel()

 void mfem::UMFPackSolver::SetPrintLevel ( int print_lvl )
inline

Set the print level field in the Control data member.

Definition at line 1127 of file solvers.hpp.

## ◆ AI

 SuiteSparse_long* mfem::UMFPackSolver::AI
protected

Definition at line 1101 of file solvers.hpp.

## ◆ AJ

 SuiteSparse_long * mfem::UMFPackSolver::AJ
protected

Definition at line 1101 of file solvers.hpp.

## ◆ Control

 real_t mfem::UMFPackSolver::Control[UMFPACK_CONTROL]

Definition at line 1106 of file solvers.hpp.

## ◆ Info

 real_t mfem::UMFPackSolver::Info[UMFPACK_INFO]
mutable

Definition at line 1107 of file solvers.hpp.

## ◆ mat

 SparseMatrix* mfem::UMFPackSolver::mat
protected

Definition at line 1099 of file solvers.hpp.

## ◆ Numeric

 void* mfem::UMFPackSolver::Numeric
protected

Definition at line 1100 of file solvers.hpp.

## ◆ use_long_ints

 bool mfem::UMFPackSolver::use_long_ints
protected

Definition at line 1098 of file solvers.hpp.

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