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Mathematics Conception optimale de structures (Math¨¦matiques et Applications) (French Edition)
Posted on 2010-04-13
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Author: Gr¨¦goire Allaire
Publisher: Springer (2006) Binding: Paperback, 280 pages pricer: $129.00 ISBN-10: 3540367101 editorialreviews "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¨ºme int¨¦r¨ºt 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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