# What is ... a **path-following method**?

This page hosts information on Jennifer Rasch's talk "What is ... a

**path-following method**?" at the

"What is ...?" seminar. The talk will take place on Friday, April 27, 4pm at HU, RUD 25 1.023.

## Abstract

Mathematical modeling of real-world phenomena often leads to formulations of problems in infinite dimensions containing variational inequalities. In this talk, we will focus on so-called elasto-plastic problems which require the pointwise bounding of the gradient of the displacement, i.e., the stress on a body at each point in the presence of a given force. We will then derive the first order optimality conditions. To use the semismooth Newton method to solve the problem numerically, we require a regularized penalization of our problem. Numerical path-following strategies will be developed and analytical results can be numerically verified.

## Comments