Romeo Awi : Some numerical aspects of Quasiconvexity and Rank-one convexity

Posted by Christof Sparber , part of the Analysis and Applied Mathematics Seminar.

At

March 7, 2016, 4 p.m.

In

SEO 636

Abstract

This talk is concerned with some numerical aspects of Morrey's Conjecture in dimension 2x2. The problem is to know whether there exists a rank-one convex function defined on 2x2 matrices that is not quasiconvex. The conjecture is first cast as a minimization problem. The later problem is approximated by minimization problems over families of affine piecewise functions. Two methods that could lead to finding counter-examples are suggested.