Chebyshev accelerated smoothing with given vector, no matrix necessary. More...

#include <solvers.hpp>

Inheritance diagram for mfem::OperatorChebyshevSmoother:

Collaboration diagram for mfem::OperatorChebyshevSmoother:

Public Member Functions
	OperatorChebyshevSmoother (const Operator &oper_, const Vector &d, const Array< int > &ess_tdof_list, int order, double max_eig_estimate)

MFEM_DEPRECATED	OperatorChebyshevSmoother (const Operator *oper_, const Vector &d, const Array< int > &ess_tdof_list, int order, double max_eig_estimate)
	Deprecated: see pass-by-reference version above. More...

	OperatorChebyshevSmoother (const Operator &oper_, const Vector &d, const Array< int > &ess_tdof_list, int order, MPI_Comm comm=MPI_COMM_NULL, int power_iterations=10, double power_tolerance=1e-8)

MFEM_DEPRECATED	OperatorChebyshevSmoother (const Operator *oper_, const Vector &d, const Array< int > &ess_tdof_list, int order, MPI_Comm comm=MPI_COMM_NULL, int power_iterations=10, double power_tolerance=1e-8)
	Deprecated: see pass-by-reference version above. More...

	OperatorChebyshevSmoother (const Operator &oper_, const Vector &d, const Array< int > &ess_tdof_list, int order, int power_iterations=10, double power_tolerance=1e-8)

MFEM_DEPRECATED	OperatorChebyshevSmoother (const Operator *oper_, const Vector &d, const Array< int > &ess_tdof_list, int order, int power_iterations=10, double power_tolerance=1e-8)
	Deprecated: see pass-by-reference version above. More...

	~OperatorChebyshevSmoother ()

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

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...

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

void	Setup ()

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
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. More...

	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 MemoryClass	GetMemoryClass () const
	Return the MemoryClass preferred by the Operator. More...

virtual void	AddMult (const Vector &x, Vector &y, const double a=1.0) const
	Operator application: `y+=A(x)` (default) or `y+=a*A(x)`. More...

virtual void	AddMultTranspose (const Vector &x, Vector &y, const double a=1.0) const
	Operator transpose application: `y+=A^t(x)` (default) or `y+=a*A^t(x)`. More...

virtual void	ArrayMult (const Array< const Vector > &X, Array< Vector > &Y) const
	Operator application on a matrix: `Y=A(X)`. More...

virtual void	ArrayMultTranspose (const Array< const Vector > &X, Array< Vector > &Y) const
	Action of the transpose operator on a matrix: `Y=A^t(X)`. More...

virtual void	ArrayAddMult (const Array< const Vector > &X, Array< Vector > &Y, const double a=1.0) const
	Operator application on a matrix: `Y+=A(X)` (default) or `Y+=a*A(X)`. More...

virtual void	ArrayAddMultTranspose (const Array< const Vector > &X, Array< Vector > &Y, const double a=1.0) const
	Operator transpose application on a matrix: `Y+=A^t(X)` (default) or `Y+=a*A^t(X)`. 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 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. 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...

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

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

virtual const Operator *	GetOutputRestriction () const
	Restriction operator from output 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...

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. 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() or Operator::FormRectangularLinearSystem(). More...

void	FormSystemOperator (const Array< int > &ess_tdof_list, Operator *&A)
	Return in A a parallel (on truedofs) version of this square operator. More...

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). More...

void	FormDiscreteOperator (Operator *&A)
	Return in A a parallel (on truedofs) version of this rectangular operator. More...

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

virtual void	PrintMatlab (std::ostream &out) const
	Prints operator in Matlab format. More...

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

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

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. More...

Protected Member Functions inherited from mfem::Operator
void	FormConstrainedSystemOperator (const Array< int > &ess_tdof_list, ConstrainedOperator *&Aout)
	see FormSystemOperator() More...

void	FormRectangularConstrainedSystemOperator (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, RectangularConstrainedOperator *&Aout)
	see FormRectangularSystemOperator() More...

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". More...

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...

Detailed Description

Chebyshev accelerated smoothing with given vector, no matrix necessary.

Potentially useful with tensorized operators, for example. This is just a very basic Chebyshev iteration, if you want tolerances, iteration control, etc. wrap this with SLISolver.

Definition at line 379 of file solvers.hpp.

Constructor & Destructor Documentation

◆ OperatorChebyshevSmoother() [1/6]

mfem::OperatorChebyshevSmoother::OperatorChebyshevSmoother	(	const Operator &	oper_,
		const Vector &	d,
		const Array< int > &	ess_tdof_list,
		int	order,
		double	max_eig_estimate
	)

Application is by inverse of the given vector. It is assumed the underlying operator acts as the identity on entries in ess_tdof_list, corresponding to (assembled) DIAG_ONE policy or ConstrainedOperator in the matrix-free setting. The estimated largest eigenvalue of the diagonally preconditoned operator must be provided via max_eig_estimate.

Definition at line 328 of file solvers.cpp.

◆ OperatorChebyshevSmoother() [2/6]

mfem::OperatorChebyshevSmoother::OperatorChebyshevSmoother	(	const Operator *	oper_,
		const Vector &	d,
		const Array< int > &	ess_tdof_list,
		int	order,
		double	max_eig_estimate
	)

Deprecated: see pass-by-reference version above.

Definition at line 380 of file solvers.cpp.

◆ OperatorChebyshevSmoother() [3/6]

mfem::OperatorChebyshevSmoother::OperatorChebyshevSmoother	(	const Operator &	oper_,
		const Vector &	d,
		const Array< int > &	ess_tdof_list,
		int	order,
		MPI_Comm	comm = `MPI_COMM_NULL`,
		int	power_iterations = `10`,
		double	power_tolerance = `1e-8`
	)

Application is by inverse of the given vector. It is assumed the underlying operator acts as the identity on entries in ess_tdof_list, corresponding to (assembled) DIAG_ONE policy or ConstrainedOperator in the matrix-free setting. The largest eigenvalue of the diagonally preconditoned operator is estimated internally via a power method. The accuracy of the estimated eigenvalue may be controlled via power_iterations and power_tolerance.

Definition at line 345 of file solvers.cpp.

◆ OperatorChebyshevSmoother() [4/6]

mfem::OperatorChebyshevSmoother::OperatorChebyshevSmoother	(	const Operator *	oper_,
		const Vector &	d,
		const Array< int > &	ess_tdof_list,
		int	order,
		MPI_Comm	comm = `MPI_COMM_NULL`,
		int	power_iterations = `10`,
		double	power_tolerance = `1e-8`
	)

Deprecated: see pass-by-reference version above.

Definition at line 387 of file solvers.cpp.

◆ OperatorChebyshevSmoother() [5/6]

mfem::OperatorChebyshevSmoother::OperatorChebyshevSmoother	(	const Operator &	oper_,
		const Vector &	d,
		const Array< int > &	ess_tdof_list,
		int	order,
		int	power_iterations = `10`,
		double	power_tolerance = `1e-8`
	)

◆ OperatorChebyshevSmoother() [6/6]

mfem::OperatorChebyshevSmoother::OperatorChebyshevSmoother	(	const Operator *	oper_,
		const Vector &	d,
		const Array< int > &	ess_tdof_list,
		int	order,
		int	power_iterations = `10`,
		double	power_tolerance = `1e-8`
	)

Deprecated: see pass-by-reference version above.

Definition at line 394 of file solvers.cpp.

◆ ~OperatorChebyshevSmoother()

mfem::OperatorChebyshevSmoother::~OperatorChebyshevSmoother ( )

inline

Definition at line 433 of file solvers.hpp.

Member Function Documentation

◆ Mult()

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

virtual

Operator application: y=A(x).

Implements mfem::Operator.

Definition at line 479 of file solvers.cpp.

◆ MultTranspose()

void mfem::OperatorChebyshevSmoother::MultTranspose	(	const Vector &	x,
		Vector &	y
	)		const

inlinevirtual

Action of the transpose operator: y=A^t(x). The default behavior in class Operator is to generate an error.

Reimplemented from mfem::Operator.

Definition at line 437 of file solvers.hpp.

◆ SetOperator()

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

inlinevirtual

Set/update the solver for the given operator.

Implements mfem::Solver.

Definition at line 439 of file solvers.hpp.

◆ Setup()

void mfem::OperatorChebyshevSmoother::Setup ( )

Definition at line 402 of file solvers.cpp.

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

linalg/solvers.hpp
linalg/solvers.cpp

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ OperatorChebyshevSmoother() [1/6]

◆ OperatorChebyshevSmoother() [2/6]

◆ OperatorChebyshevSmoother() [3/6]

◆ OperatorChebyshevSmoother() [4/6]

◆ OperatorChebyshevSmoother() [5/6]

◆ OperatorChebyshevSmoother() [6/6]

◆ ~OperatorChebyshevSmoother()

Member Function Documentation

◆ Mult()

◆ MultTranspose()

◆ SetOperator()

◆ Setup()