This book provides theories on non-parametric shape optimization problems, systematically keeping in mind readers with an engineering background. Non-parametric

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 opt

This book provides an introduction to the theory and numerical developments of the homogenization method. It's main features are: a comprehensive presentation o

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 t

Shape optimization problems are treated from the classical and modern perspectives Targets a broad audience of graduate students in pure and applied mathematics