Shape optimization with shape derivatives

Dipl.-Ing.in Elisabeth Frank

May 19, 2009, 3:30 p.m. K 034D

Shape optimization is widely used in practice. The typical problem is to find the optimal shape which minimizes a certain cost functional and satisfies some given constraints. Usually shape optimization problems are solved numerically, by some iterative method. But also some gradient information is needed. In this talk the shape derivative approach, for getting gradient information of the functional, is presented.