Conception optimale de structures: 58 (Mathématiques et Applications)

Conception optimale de structures: 58 (Mathématiques et Applications)

by Grégoire Allaire (Author), Grégoire Allaire (Author), M. de Schoenauer (Assistant)

Synopsis

Conception optimale des structures est une introduction la conception optimale de structures, appel e aussi optimisation de formes. Il est principalement destin un public mixte de math maticiens appliqu s et de m caniciens que relient un m me int r t pour les applications num riques. Il traite de tous les aspects de l'optimisation de formes, param trique, g om trique et topologique, et fait une large place aux algorithmes num riques, m thodes de gradient et m thodes stochastiques (avec une contribution originale de Marc Schoenauer pour ce dernier point). En particulier, la plupart des algorithmes d'optimisation de structures ont t impl ment s dans le logiciel FreeFem++ d' l ments finis et les programmes sont disponibles librement sur le web.

Conception optimale des structures is devoted to structural or shape optimization and is intended for a mixed audience of applied mathematicians and mechanicians. It discusses parametric, geometric and topology optimization and gives deterministic and stochastic numerical algorithms (implemented in the FreeFem++ finite element software).

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More Information

Format: Paperback
Pages: 292
Edition: 2007
Publisher: Springer
Published: 02 Nov 2006

ISBN 10: 3540367101
ISBN 13: 9783540367109

Media 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 stochastic 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 cole 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)