#include <ginkgo.hpp>

Inheritance diagram for mfem::Ginkgo::GinkgoIterativeSolver:

Collaboration diagram for mfem::Ginkgo::GinkgoIterativeSolver:

Public Member Functions
const std::shared_ptr< gko::LinOpFactory >	GetFactory () const

void	SetPrintLevel (int print_lvl)

int	GetNumIterations () const

int	GetConverged () const

real_t	GetFinalNorm () const

virtual void	SetOperator (const Operator &op)

virtual void	Mult (const Vector &x, Vector &y) const

bool	UsesVectorWrappers () const

virtual	~GinkgoIterativeSolver ()=default

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.

Protected Member Functions
	GinkgoIterativeSolver (GinkgoExecutor &exec, bool use_implicit_res_norm)

void	update_stop_factory ()

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
bool	use_implicit_res_norm

int	print_level

int	max_iter

real_t	rel_tol

real_t	abs_tol

real_t	final_norm

int	final_iter

int	converged

std::shared_ptr< gko::LinOpFactory >	solver_gen

std::shared_ptr< gko::LinOp >	solver

std::shared_ptr< gko::stop::ResidualNorm<>::Factory >	rel_criterion

std::shared_ptr< gko::stop::ResidualNorm<>::Factory >	abs_criterion

std::shared_ptr< gko::stop::ImplicitResidualNorm<>::Factory >	imp_rel_criterion

std::shared_ptr< gko::stop::ImplicitResidualNorm<>::Factory >	imp_abs_criterion

std::shared_ptr< gko::log::Convergence<> >	convergence_logger

std::shared_ptr< ResidualLogger<> >	residual_logger

std::shared_ptr< gko::stop::Combined::Factory >	combined_factory

std::shared_ptr< gko::Executor >	executor

bool	needs_wrapped_vecs

bool	sub_op_needs_wrapped_vecs

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.

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.

Detailed Description

This class forms the base class for all of Ginkgo's iterative solvers. It is not intended to be used directly by MFEM applications. The various derived classes only take the additional data that is specific to them and solve the given linear system. The entire collection of solvers that Ginkgo implements is available at the Ginkgo documentation and manual pages, https://ginkgo-project.github.io/ginkgo/doc/develop.

Definition at line 682 of file ginkgo.hpp.

Constructor & Destructor Documentation

◆ ~GinkgoIterativeSolver()

virtual mfem::Ginkgo::GinkgoIterativeSolver::~GinkgoIterativeSolver ( )

virtualdefault

Destructor.

◆ GinkgoIterativeSolver()

mfem::Ginkgo::GinkgoIterativeSolver::GinkgoIterativeSolver	(	GinkgoExecutor &	exec,
		bool	use_implicit_res_norm )

protected

Constructor.

The exec defines the paradigm where the solution is computed. use_implicit_res_norm is for internal use by the derived classes for specific Ginkgo solvers; it indicates whether the solver makes an implicit residual norm estimate available for convergence checking. Each derived class automatically sets the correct value when calling this base class constructor.

Definition at line 342 of file ginkgo.cpp.

Member Function Documentation

◆ GetConverged()

int mfem::Ginkgo::GinkgoIterativeSolver::GetConverged ( ) const

inline

Definition at line 697 of file ginkgo.hpp.

◆ GetFactory()

const std::shared_ptr< gko::LinOpFactory > mfem::Ginkgo::GinkgoIterativeSolver::GetFactory ( ) const

inline

Return a pointer to the LinOpFactory that will generate the solver with the parameters set through the specific constructor.

Definition at line 689 of file ginkgo.hpp.

◆ GetFinalNorm()

real_t mfem::Ginkgo::GinkgoIterativeSolver::GetFinalNorm ( ) const

inline

Definition at line 698 of file ginkgo.hpp.

◆ GetNumIterations()

int mfem::Ginkgo::GinkgoIterativeSolver::GetNumIterations ( ) const

inline

Definition at line 696 of file ginkgo.hpp.

◆ Mult()

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

virtual

Solve the linear system Ax=y. Dependent on the information provided by derived classes one of Ginkgo's linear solvers is chosen.

Implements mfem::Operator.

Definition at line 508 of file ginkgo.cpp.

◆ SetOperator()

void mfem::Ginkgo::GinkgoIterativeSolver::SetOperator ( const Operator & op )

virtual

If the Operator is a SparseMatrix, set up a Ginkgo Csr matrix to use its data directly. If the Operator is not a matrix, create an OperatorWrapper for it and store.

Implements mfem::Solver.

Definition at line 640 of file ginkgo.cpp.

◆ SetPrintLevel()

void mfem::Ginkgo::GinkgoIterativeSolver::SetPrintLevel ( int print_lvl )

inline

Definition at line 694 of file ginkgo.hpp.

◆ update_stop_factory()

void mfem::Ginkgo::GinkgoIterativeSolver::update_stop_factory ( )

protected

Rebuild the Ginkgo stopping criterion factory with the latest values of rel_tol, abs_tol, and max_iter.

Definition at line 360 of file ginkgo.cpp.

◆ UsesVectorWrappers()

bool mfem::Ginkgo::GinkgoIterativeSolver::UsesVectorWrappers ( ) const

inline

Return whether this GinkgoIterativeSolver object will use VectorWrapper types for input and output vectors. Note that Mult() will automatically create these wrappers if needed.

Definition at line 718 of file ginkgo.hpp.

Member Data Documentation

◆ abs_criterion

std::shared_ptr<gko::stop::ResidualNorm<>::Factory> mfem::Ginkgo::GinkgoIterativeSolver::abs_criterion

protected

The residual criterion object that controls the reduction of the residual based on an absolute tolerance.

Definition at line 774 of file ginkgo.hpp.

◆ abs_tol

real_t mfem::Ginkgo::GinkgoIterativeSolver::abs_tol

protected

Definition at line 747 of file ginkgo.hpp.

◆ combined_factory

std::shared_ptr<gko::stop::Combined::Factory> mfem::Ginkgo::GinkgoIterativeSolver::combined_factory

protected

The Ginkgo combined factory object is used to create a combined stopping criterion to be passed to the solver.

Definition at line 806 of file ginkgo.hpp.

◆ converged

int mfem::Ginkgo::GinkgoIterativeSolver::converged

mutableprotected

Definition at line 750 of file ginkgo.hpp.

◆ convergence_logger

std::shared_ptr<gko::log::Convergence<> > mfem::Ginkgo::GinkgoIterativeSolver::convergence_logger

mutableprotected

The Ginkgo convergence logger used to check for convergence and other solver data if needed.

Definition at line 794 of file ginkgo.hpp.

◆ executor

std::shared_ptr<gko::Executor> mfem::Ginkgo::GinkgoIterativeSolver::executor

protected

The execution paradigm in Ginkgo. The choices are between gko::OmpExecutor, gko::CudaExecutor and gko::ReferenceExecutor and more details can be found in Ginkgo's documentation.

Definition at line 813 of file ginkgo.hpp.

◆ final_iter

int mfem::Ginkgo::GinkgoIterativeSolver::final_iter

mutableprotected

Definition at line 749 of file ginkgo.hpp.

◆ final_norm

real_t mfem::Ginkgo::GinkgoIterativeSolver::final_norm

mutableprotected

Definition at line 748 of file ginkgo.hpp.

◆ imp_abs_criterion

std::shared_ptr<gko::stop::ImplicitResidualNorm<>::Factory> mfem::Ginkgo::GinkgoIterativeSolver::imp_abs_criterion

protected

The implicit residual criterion object that controls the reduction of the residual based on an absolute tolerance, based on an implicit residual norm value.

Definition at line 788 of file ginkgo.hpp.

◆ imp_rel_criterion

std::shared_ptr<gko::stop::ImplicitResidualNorm<>::Factory> mfem::Ginkgo::GinkgoIterativeSolver::imp_rel_criterion

protected

The implicit residual criterion object that controls the reduction of the residual relative to the initial residual, based on an implicit residual norm value.

Definition at line 781 of file ginkgo.hpp.

◆ max_iter

int mfem::Ginkgo::GinkgoIterativeSolver::max_iter

protected

Definition at line 745 of file ginkgo.hpp.

◆ needs_wrapped_vecs

bool mfem::Ginkgo::GinkgoIterativeSolver::needs_wrapped_vecs

protected

Whether or not we need to use VectorWrapper types with this solver.

Definition at line 818 of file ginkgo.hpp.

◆ print_level

int mfem::Ginkgo::GinkgoIterativeSolver::print_level

protected

Definition at line 744 of file ginkgo.hpp.

◆ rel_criterion

std::shared_ptr<gko::stop::ResidualNorm<>::Factory> mfem::Ginkgo::GinkgoIterativeSolver::rel_criterion

protected

The residual criterion object that controls the reduction of the residual relative to the initial residual.

Definition at line 767 of file ginkgo.hpp.

◆ rel_tol

real_t mfem::Ginkgo::GinkgoIterativeSolver::rel_tol

protected

Definition at line 746 of file ginkgo.hpp.

◆ residual_logger

std::shared_ptr<ResidualLogger<> > mfem::Ginkgo::GinkgoIterativeSolver::residual_logger

mutableprotected

The residual logger object used to check for convergence and other solver data if needed.

Definition at line 800 of file ginkgo.hpp.

◆ solver

std::shared_ptr<gko::LinOp> mfem::Ginkgo::GinkgoIterativeSolver::solver

protected

The Ginkgo solver object, generated for a specific operator.

Definition at line 760 of file ginkgo.hpp.

◆ solver_gen

std::shared_ptr<gko::LinOpFactory> mfem::Ginkgo::GinkgoIterativeSolver::solver_gen

protected

The Ginkgo solver factory object, to generate specific solvers.

Definition at line 755 of file ginkgo.hpp.

◆ sub_op_needs_wrapped_vecs

bool mfem::Ginkgo::GinkgoIterativeSolver::sub_op_needs_wrapped_vecs

protected

Whether or not we need to use VectorWrapper types with the preconditioner or an inner solver. This value is set upon creation of the GinkgoIterativeSolver object and should never change.

Definition at line 825 of file ginkgo.hpp.

◆ use_implicit_res_norm

bool mfem::Ginkgo::GinkgoIterativeSolver::use_implicit_res_norm

protected

Definition at line 743 of file ginkgo.hpp.

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

linalg/ginkgo.hpp
linalg/ginkgo.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ~GinkgoIterativeSolver()

◆ GinkgoIterativeSolver()

Member Function Documentation

◆ GetConverged()

◆ GetFactory()

◆ GetFinalNorm()

◆ GetNumIterations()

◆ Mult()

◆ SetOperator()

◆ SetPrintLevel()

◆ update_stop_factory()

◆ UsesVectorWrappers()

Member Data Documentation

◆ abs_criterion

◆ abs_tol

◆ combined_factory

◆ converged

◆ convergence_logger

◆ executor

◆ final_iter

◆ final_norm

◆ imp_abs_criterion

◆ imp_rel_criterion

◆ max_iter

◆ needs_wrapped_vecs

◆ print_level

◆ rel_criterion

◆ rel_tol

◆ residual_logger

◆ solver

◆ solver_gen

◆ sub_op_needs_wrapped_vecs

◆ use_implicit_res_norm