A Method of Piecewise-Smooth Numerical Branching

Tomáš Ligurský (1) , Yves Renard (2)

1 Department IT4Innovations
2 ICJ - Institut Camille Jordan

A method of numerical branching is proposed for piecewise-smooth steady-state problems when any analytical expressions are not known for the regions of smoothness of the functions involved. It is shown in model examples of contact problems that the method can reliably discover all solution branches around a known solution if its input parameters are set up properly. It is also suggested how to choose the optimum parameter settings.

Mots clés: contact problem; piecewise smooth; steady-state problem; numerical branching

Domaines: Analyse numérique [math.NA]

Tomáš Ligurský, Yves Renard. A Method of Piecewise-Smooth Numerical Branching. 2016. ⟨hal-01113564v2⟩