Conception optimale de structures (Mathématiques et by Grégoire Allaire

By Grégoire Allaire

'Conception optimale des constructions' est une advent à los angeles perception optimale de constructions, 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 purposes numériques. Il traite de tous les points de l'optimisation de formes, paramétrique, géométrique et topologique, et fait une huge position aux algorithmes numériques, méthodes de gradient et méthodes stochastiques (avec une contribution originale de Marc Schoenauer pour ce dernier point). En particulier, l. a. plupart des algorithmes d'optimisation de buildings ont été implémentés dans le logiciel FreeFem++ d'éléments finis et les programmes sont disponibles librement sur le net. 'Conception optimale des constructions' is dedicated to structural or form optimization and is meant for a combined viewers of utilized mathematicians and mechanicians. It discusses parametric, geometric and topology optimization and provides deterministic and stochastic numerical algorithms (implemented within the FreeFem++ finite point software).

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