### Speaker: Professor Jiri Outrata

### Institute of Information Theory and Automation, Czech Academy of Sciences, Prague – Czech Republic

### Date: May 19, 2021 at 10:00 am (Chilean-time)

**Title**: On the solution of static contact problems with Coulomb friction via the semismooth Newton method

**Abstract:** The lecture deals with application of a new Newton-type method to the numerical solution of discrete 3D contact problems with Coulomb friction. This method suits well to the solution of inclusions and the resulting conceptual algorithm exhibits, under appropriate conditions, the local superlinear convergence. After a description of the method a new model for the considered contact problem, amenable to the application of the method, will be presented. The second part of the talk is then devoted to an efficient implementation of the general algorithm and to numerical tests. Throughout the whole lecture, various tools of modern variational analysis will be employed.

A recorded video of the conference is …. ; the slides can be downloaded …

**Venue**: Online via Google Meet: https://meet.google.com/gqt-mpjz-kyt

**A brief biography of the speaker**: Jiri V. Outrata is a senior researcher in the Czech Academy of Sciences, Prague. He obtained his PhD in 1976 and DrSc (habilitation) in 1991, both from the Czech Academy of Sciences. A part of his career he spent in Germany, at the Universities in Bayreuth and Erlangen. His current research interests concern variational analysis; in particular, generalized differential calculus and its application to equilibrium problems.

**Coordinators**: Fabián Flores-Bazán (CMM, Universidad de Concepción) and Abderrahim Hantoute (Alicante).