gsIterative< T > Class Template Reference

Detailed Description

template<class T>
class gismo::gsIterative< T >

A general iterative solver for nonlinear problems. An equation to solve is specified by an assembler class which provides the following interfaces:

int numDofs() const; const gsSparseMatrix<T> & matrix() const; const gsMatrix<T> & rhs() const; void assemble(const gsMatrix<T> & solutionVector); options().setReal("DirichletScaling",T); options().setReal("ForceScaling",T);Currently uses gsElBaseAssembler as a parent interface class. Potentially, can operate on gsAssembler.

Collaboration diagram for gsIterative< T >:

Public Member Functions
const std::vector< gsMatrix< T > > &	allFixedDofs () const
	returns the fixed degrees of freedom
bool	compute ()
	computes update or the next solution
	gsIterative (gsBaseAssembler< T > &assembler_)
	constructor without an initial guess. Assumes a zero initial guess.
	gsIterative (gsBaseAssembler< T > &assembler_, const gsMatrix< T > &initSolutionVector)
	gsIterative (gsBaseAssembler< T > &assembler_, const gsMatrix< T > &initSolutionVector, const std::vector< gsMatrix< T > > &initFixedDoFs)
index_t	numberIterations () const
	number of iteration that Newton's method took
gsOptionList &	options ()
	get options list to read or set parameters
void	recoverState ()
	recover solver state from saved state
void	reset ()
	reset the solver state
void	saveState ()
	save solver state
virtual void	setFixedDofs (const std::vector< gsMatrix< T > > &ddofs)
	set all fixed degrees of freedom
void	setSolutionVector (const gsMatrix< T > &solutionVector)
	set initial guess
const gsMatrix< T > &	solution () const
	returns the solution vector
void	solve ()
	solution procedure
std::string	status ()
	return solver status as a string

Static Public Member Functions
static gsOptionList	defaultOptions ()
	default option list. used for initialization More...

Protected Attributes
gsBaseAssembler< T > &	assembler
	assembler object that generates the linear system
std::vector< gsMatrix< T > >	fixedDoFs
	current Dirichlet DoFs that the solution satisfies
T	initResidualNorm
	norm of the residual vector
T	initUpdateNorm
	norm of the update vector
gsOptionList	m_options
	option list More...
solver_status	m_status
	number of iterations performed
index_t	numIterations
	-— status variables --— ///
T	residualNorm
	status of the solver (converged, interrupted, working)
gsMatrix< T >	solVector
	solution vector
T	updateNorm
	norm of the residual vector at the beginning of the loop

Constructor & Destructor Documentation

gsIterative	(	gsBaseAssembler< T > &	assembler_,
		const gsMatrix< T > &	initSolutionVector
	)

constructor with an given initial free degrees of freedom. Fixed/Dirichlet degrees of freedom are taken from the assembler. fixed DoFs are given as a single vector arranged according to the function gsMatrix<> fixedDoFsAsVector() of gsBaseAssembler

gsIterative	(	gsBaseAssembler< T > &	assembler_,
		const gsMatrix< T > &	initSolutionVector,
		const std::vector< gsMatrix< T > > &	initFixedDoFs
	)

constructor with an initial guess given as a combination of free and fixed/Dirichlet degrees of freedom. fixed DoFs are given as a single vector arranged according to the function gsMatrix<> fixedDoFsAsVector() of gsBaseAssembler

Member Function Documentation

gsOptionList defaultOptions ( )

static

default option list. used for initialization

linear solver

stopping creteria

additional setting

Member Data Documentation

gsOptionList m_options

protected

option list

norm of the update vector at the beginning of the loop