Autor: Jan Sokolowski

New trends in free boundary problems and new mathematical tools together with broadening areas of applications have led to attempts at presenting the state of art of the field in a unified way. In th …

This book is motivated largely by a desire to solve shape optimization prob- lems that arise in applications, particularly in structural mechanics and in the optimal control of distributed parameter …

The topological derivative is defined as the first term (correction) of the asymptotic expansion of a given shape functional with respect to a small parameter that measures the size of singular domai …

This book presents the topological derivative method through selected examples, using a direct approach based on calculus of variations combined with compound asymptotic analysis. This new concept i …