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“Conception optimale des structures” est une introduction a la conception optimale de structures, appelee aussi optimisation de formes. Il est principalement destine a un public mixte de mathematiciens appliques et de mecaniciens que relient un meme interet pour les applications numeriques. Il traite de tous les aspects de l’optimisation de formes, parametrique, geometrique et topologique, et fait une large place aux algorithmes numeriques, methodes de gradient et methodes stochastiques (avec une contribution originale de Marc Schoenauer pour ce dernier point). En particulier, la plupart des algorithmes d’optimisation de structures ont ete implementes dans le logiciel FreeFem++ d’elements 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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