Mathématiques et Applications

Conception optimale de structures

Authors: Allaire, Grégoire

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  • ISBN 978-3-540-36856-4
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Softcover 57,18 €
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About this Textbook

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. Il traite de tous les aspects de l'optimisation de formes, paramétrique, géométrique et topologique, et fait une large place aux algorithmes numériques, méthodes de gradient et méthodes stochastiques (avec une contribution originale de Marc Schoenauer pour ce dernier point). En particulier, la plupart des algorithmes d'optimisation de structures ont été implémentés dans le logiciel FreeFem++ d'éléments 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).

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 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)


Table of contents (4 chapters)

Buy this book

eBook 44,02 €
price for Spain (gross)
  • ISBN 978-3-540-36856-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 57,18 €
price for Spain (gross)
  • ISBN 978-3-540-36710-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Conception optimale de structures
Authors
Series Title
Mathématiques et Applications
Series Volume
58
Copyright
2007
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-36856-4
DOI
10.1007/978-3-540-36856-4
Softcover ISBN
978-3-540-36710-9
Series ISSN
1154-483X
Edition Number
1
Number of Pages
XII, 280
Number of Illustrations and Tables
91 b/w illustrations
Topics