Detailed Description

template<class T>
class gismo::gsNewtonIterator< T >

Performs Newton iterations to solve a nonlinear system of PDEs.

Template Parameters

T	coefficient type

Collaboration diagram for gsNewtonIterator< T >:

Public Member Functions
bool	converged () const
	Tells whether the Newton method converged.

void	firstIteration ()
	Solves linear system obtained using linear elasticity in first step and computes residual.

	gsNewtonIterator (gsAssembler< T > &assembler, const gsMultiPatch< T > &initialSolution)

void	nextIteration ()
	Solves linear system in each iteration based on last solution and computes residual.

index_t	numIterations () const
	Returns the number of Newton iterations performed.

T	residue () const
	Returns the error after solving the nonlinear system.

void	setMaxIterations (index_t nIter)
	Set the maximum number of Newton iterations allowed.

void	setTolerance (T tol)
	Set the tolerance for convergence.

const gsMultiPatch< T > &	solution () const
	Returns the latest configuration.

void	solve ()
	Applies Newton method and Performs Newton iterations until convergence or maximum iterations.

T	tolerance () const
	Returns the tolerance value used.

Protected Attributes
gsAssembler< T > &	m_assembler
	gsAssemblerBase object to generate the linear system for each iteration

bool	m_converged
	Convergence result.

gsMultiPatch< T >	m_curSolution
	The latest/current solution.

index_t	m_maxIterations
	Maximum number of Newton iterations allowed.

index_t	m_numIterations
	Number of Newton iterations performed.

T	m_residue
	Final error.

gsSparseSolver ::LU	m_solver
	Linear solver employed.

T	m_tolerance
	Tolerance value to decide convergence.

gsMatrix< T >	m_updateVector
	Solution of the linear system in each iteration.

T	m_updnorm
	Norm of the current Newton update vector.

Constructor & Destructor Documentation

template<class T >

inline

Constructor giving access to the gsAssemblerBase object to create a linear system per iteration