Structure representing the subsidiary function for the standard arc-length method. More...

#include <ikarus/controlroutines/pathfollowingfunctions.hh>

Public Member Functions
template<typename NLS >
void	operator() (typename NLS::Domain &req, NLS &nonlinearSolver, SubsidiaryArgs &args) const
	Evaluates the subsidiary function for the standard arc-length method. More...

template<typename NLS >
void	initialPrediction (typename NLS::Domain &req, NLS &nonlinearSolver, SubsidiaryArgs &args)
	Performs the initial prediction for the standard arc-length method. More...

template<typename NLS >
void	intermediatePrediction (typename NLS::Domain &req, NLS &nonlinearSolver, SubsidiaryArgs &args)
	Performs intermediate prediction for the standard arc-length method. More...

constexpr std::string	name () const
	The name of the PathFollowing method. More...

Detailed Description

This structure provides methods to evaluate the subsidiary function, perform initial prediction, and perform intermediate prediction for the standard arc-length control method.

The equation for the arc length method reads

\[ f(\mathrm{D}\mathbf{D}, \mathrm{D} \lambda)= \sqrt{||\mathrm{D}\mathbf{D}||^2+ \psi^2 (\mathrm{D} \lambda)^2 }- \hat{s}, \]

where \(\mathrm{D}\mathbf{D}\) is the increment of the solution vector and \(\mathrm{D} \lambda\) is the load factor increment. \(\psi\) is the to-be-determined correction factor for the different dimensionalities between \(\mathrm{D}\mathbf{D}\) and \(\mathrm{D} \lambda\). The scalar \(\hat{s} \) defines the requested size of the step.

Member Function Documentation

◆ intermediatePrediction()

template<typename NLS >

void Ikarus::ArcLength::intermediatePrediction	(	typename NLS::Domain &	req,
		NLS &	nonlinearSolver,
		SubsidiaryArgs &	args
	)

inline

This method updates the prediction step for the standard arc-length method.

Template Parameters

NLS	Type of the nonlinear solver.

Parameters

req	The solution.
nonlinearSolver	The nonlinear solver.
args	The subsidiary function arguments.

◆ name()

constexpr std::string Ikarus::ArcLength::name ( ) const

inlineconstexpr

◆ operator()()