Class NewtonKrylovSolver provides an abstract interface for the implementation of inexact Newton-Krylov solvers for nonlinear problems of the form $ F[x]=b $ . More...

#include </home/runner/work/IBAMR/IBAMR/ibtk/include/ibtk/NewtonKrylovSolver.h>

Inheritance diagram for IBTK::NewtonKrylovSolver:

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Public Member Functions
	NewtonKrylovSolver ()
	Default constructor.

virtual	~NewtonKrylovSolver ()=default
	Empty virtual destructor.

void	setHierarchyMathOps (SAMRAI::tbox::Pointer< HierarchyMathOps > hier_math_ops) override
	Set the HierarchyMathOps object used by the solver.

General-purpose solver functionality.
void	setHomogeneousBc (bool homogeneous_bc) override
	Set whether the solver should use homogeneous boundary conditions.

void	setSolutionTime (double solution_time) override
	Set the time at which the solution is to be evaluated.

void	setTimeInterval (double current_time, double new_time) override
	Set the current time interval.

Newton-Krylov solver functionality.
virtual void	setOperator (SAMRAI::tbox::Pointer< GeneralOperator > op)
	Set the nonlinear operator used by the solver.

virtual SAMRAI::tbox::Pointer< GeneralOperator >	getOperator () const
	Retrieve the nonlinear operator used by the solver.

virtual SAMRAI::tbox::Pointer< SAMRAI::solv::SAMRAIVectorReal< NDIM, double > >	getSolutionVector () const =0
	Return the vector in which the approximate solution is stored. More...

virtual SAMRAI::tbox::Pointer< SAMRAI::solv::SAMRAIVectorReal< NDIM, double > >	getFunctionVector () const =0
	Return the vector in which the nonlinear function evaluation is stored. More...

virtual void	setJacobian (SAMRAI::tbox::Pointer< JacobianOperator > J)
	Set the Jacobian operator used by the solver. More...

virtual SAMRAI::tbox::Pointer< JacobianOperator >	getJacobian () const
	Retrieve the Jacobian operator used by the solver.

virtual SAMRAI::tbox::Pointer< KrylovLinearSolver >	getLinearSolver () const
	Retrieve the Krylov linear solver used in computing Newton step directions.

Functions to access solver parameters.
virtual void	setMaxEvaluations (int max_evaluations)
	Set the maximum number of function evaluations to use per solve.

virtual int	getMaxEvaluations () const
	Get the maximum number of function evaluations to use per solve.

virtual void	setSolutionTolerance (double solution_tol)
	Set the tolerance in terms of the norm of the change in the solution between steps.

virtual double	getSolutionTolerance () const
	Get the tolerance in terms of the norm of the change in the solution between steps.

Public Member Functions inherited from IBTK::GeneralSolver
	GeneralSolver ()=default
	Constructor.

virtual	~GeneralSolver ()=default
	Empty virtual destructor.

const std::string &	getName () const
	Return the object name.

virtual bool	getIsInitialized () const
	Return whether the operator is initialized.

virtual bool	getHomogeneousBc () const
	Return whether the solver is using homogeneous boundary conditions.

virtual double	getSolutionTime () const
	Get the time at which the solution is being evaluated.

virtual std::pair< double, double >	getTimeInterval () const
	Get the current time interval.

virtual double	getDt () const
	Get the current time step size.

virtual SAMRAI::tbox::Pointer< HierarchyMathOps >	getHierarchyMathOps () const
	Get the HierarchyMathOps object used by the solver.

virtual bool	solveSystem (SAMRAI::solv::SAMRAIVectorReal< NDIM, double > &x, SAMRAI::solv::SAMRAIVectorReal< NDIM, double > &b)=0
	Solve the system of equations. More...

virtual void	initializeSolverState (const SAMRAI::solv::SAMRAIVectorReal< NDIM, double > &x, const SAMRAI::solv::SAMRAIVectorReal< NDIM, double > &b)
	Compute hierarchy dependent data required for solving . More...

virtual void	deallocateSolverState ()
	Remove all hierarchy dependent data allocated by initializeSolverState(). More...

virtual void	setMaxIterations (int max_iterations)
	Set the maximum number of nonlinear iterations to use per solve.

virtual int	getMaxIterations () const
	Get the maximum number of nonlinear iterations to use per solve.

virtual void	setAbsoluteTolerance (double abs_residual_tol)
	Set the absolute residual tolerance for convergence.

virtual double	getAbsoluteTolerance () const
	Get the absolute residual tolerance for convergence.

virtual void	setRelativeTolerance (double rel_residual_tol)
	Set the relative residual tolerance for convergence.

virtual double	getRelativeTolerance () const
	Get the relative residual tolerance for convergence.

virtual int	getNumIterations () const
	Return the iteration count from the most recent solve.

virtual double	getResidualNorm () const
	Return the residual norm from the most recent iteration.

virtual void	setLoggingEnabled (bool enable_logging=true)
	Enable or disable logging.

virtual bool	getLoggingEnabled () const
	Determine whether logging is enabled or disabled.

virtual void	printClassData (std::ostream &stream)
	Print class data to stream.

Functions to access data on the most recent solve.
SAMRAI::tbox::Pointer< GeneralOperator >	d_F

SAMRAI::tbox::Pointer< JacobianOperator >	d_J

SAMRAI::tbox::Pointer< KrylovLinearSolver >	d_krylov_solver

SAMRAI::tbox::Pointer< SAMRAI::solv::SAMRAIVectorReal< NDIM, double > >	d_x

SAMRAI::tbox::Pointer< SAMRAI::solv::SAMRAIVectorReal< NDIM, double > >	d_b

SAMRAI::tbox::Pointer< SAMRAI::solv::SAMRAIVectorReal< NDIM, double > >	d_r

int	d_max_evaluations = 10000

double	d_solution_tol = 1.0e-8

int	d_current_linear_iterations = 0

virtual int	getNumLinearIterations () const
	Return the number of linear iterations from the most recent nonlinear solve.

Additional Inherited Members
Protected Member Functions inherited from IBTK::GeneralSolver
void	init (const std::string &object_name, bool homogeneous_bc)

virtual void	initSpecialized (const std::string &object_name, bool homogeneous_bc)

Protected Attributes inherited from IBTK::GeneralSolver
std::string	d_object_name = "unitialized"

bool	d_is_initialized = false

bool	d_homogeneous_bc = false

double	d_solution_time = std::numeric_limits<double>::quiet_NaN()

double	d_current_time = std::numeric_limits<double>::quiet_NaN()

double	d_new_time = std::numeric_limits<double>::quiet_NaN()

double	d_rel_residual_tol = 0.0

double	d_abs_residual_tol = 0.0

int	d_max_iterations = 100

int	d_current_iterations = 0

double	d_current_residual_norm = std::numeric_limits<double>::quiet_NaN()

SAMRAI::tbox::Pointer< HierarchyMathOps >	d_hier_math_ops

bool	d_hier_math_ops_external = false

bool	d_enable_logging = false

Detailed Description

Class NewtonKrylovSolver provides an abstract interface for the implementation of inexact Newton-Krylov solvers for nonlinear problems of the form $ F[x]=b $ .

Member Function Documentation

◆ getFunctionVector()

virtual SAMRAI::tbox::Pointer<SAMRAI::solv::SAMRAIVectorReal<NDIM, double> > IBTK::NewtonKrylovSolver::getFunctionVector ( ) const

pure virtual

Return the vector in which the nonlinear function evaluation is stored.

Note: Implementations of this member function are permitted to return a nullptr pointer if the solver is not initialized.

Implemented in IBTK::PETScNewtonKrylovSolver.

◆ getSolutionVector()

virtual SAMRAI::tbox::Pointer<SAMRAI::solv::SAMRAIVectorReal<NDIM, double> > IBTK::NewtonKrylovSolver::getSolutionVector ( ) const

pure virtual

Return the vector in which the approximate solution is stored.

Note: Implementations of this member function are permitted to return a nullptr pointer if the solver is not initialized.

Implemented in IBTK::PETScNewtonKrylovSolver.

◆ setJacobian()

void IBTK::NewtonKrylovSolver::setJacobian ( SAMRAI::tbox::Pointer< JacobianOperator > J )

virtual

Set the Jacobian operator $J[x] = F'[x]$ used by the solver.

Note: Subclasses should be implemented so that if a Jacobian object is not explicitly provided to the solver, a Jacobian-free inexact Newton-Krylov method is employed to approximate the action of the Jacobian.

Reimplemented in IBTK::PETScNewtonKrylovSolver.

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

/home/runner/work/IBAMR/IBAMR/ibtk/include/ibtk/NewtonKrylovSolver.h
/home/runner/work/IBAMR/IBAMR/ibtk/src/solvers/interfaces/NewtonKrylovSolver.cpp

Public Member Functions

Functions to access data on the most recent solve.

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ getFunctionVector()

◆ getSolutionVector()

◆ setJacobian()