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 (primal) model for the considered contact problem, amenable to the application of the new 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.

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor).