Conception optimale de structures

by Grégoire Allaire

Overview

Conception optimale des structures est une introduction à la conception optimale de structures, appelée aussi optimisation de formes. Il est principalement destiné à un public mixte de mathématiciens appliqués et de mécaniciens que relient un même intérêt pour les applications numériques.

Product Details

ISBN-13:	9783540367109
Publisher:	Springer Berlin Heidelberg
Publication date:	11/02/2006
Series:	Mathématiques et Applications , #58
Edition description:	2007
Pages:	280
Product dimensions:	8.27(w) x 11.69(h) x (d)
Language:	French

Table of Contents

à l'optimisation de formes.- Rappels d'analyse numérique.- Rappels d'optimisation.- Contrôle optimal.- Optimisation paramétrique.- Optimisation géométrique.- Optimisation topologique par méthode d'homogénéisation.- Optimisation évolutionnaire (rédigé par Marc Schoenauer).

Editorial Reviews

From the reviews:

"This is an introductory book about optimal design of structures, or shape optimization, as the domain is also called. It is mainly designed for applied mathematicians and mechanicians interested in numerics. It describes the three main approaches in shape optimization (parametrical, geometrical and topological) and presents numerical algorithms, gradient methods and shastic methods … . A large number of references is provided at the end of each chapter." (Anca-Maria Toader, Mathematical Reviews, Issue 2008 c)

"This book corresponds to lectures given by the author at École Polytechnique, France. It gives a wide overview of problems and methods in shape optimization. … an excellent introduction in this field and it may concern a large audience going from engineers dealing with problems in structural mechanics to researchers interested by numerical calculations in shape optimization. … is nicely written and its reading is very pleasant. … no other text book in this field gives a so wide overview in less than 300 pages." (Jean-Pierre Raymond, Zentralblatt MATH, Vol. 1132 (10), 2008)

From the Publisher