Variation et optimisation de formes

Une analyse géométrique

Antoine Henrot, Michel Pierre, Michel Pierre

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French

Springer-Verlag Berlin and Heidelberg GmbH & Co. K
06 July 2005

Calculus & mathematical analysis; Differential calculus & equations; Differential & Riemannian geometry; Optimisation; Linear programming

Series: Mathématiques et Applications

Ce livre est une initiation aux approches modernes de l’optimisation mathématique de formes. Il s’appuie sur les seules connaissances de première année de Master de mathématiques, mais permet déjà d’aborder les questions ouvertes dans ce domaine en pleine effervescence. On y développe la méthodologie ainsi que les outils d’analyse mathématique et de géométrie nécessaires à l’étude des variations de domaines. On y trouve une étude systématique des questions géométriques associées à l’opérateur de Laplace, de la capacité classique, de la dérivation par rapport à une forme, ainsi qu’un FAQ sur les topologies usuelles sur les domaines et sur les propriétés géométriques des formes optimales avec ce qui se passe quand elles n’existent pas, le tout avec une importante bibliographie.

By: Antoine Henrot, Michel Pierre, Michel Pierre
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication: Germany
Edition: 2005 ed.
Volume: 48
Dimensions: Height: 235mm, Width: 155mm, Spine: 19mm
Weight: 1.100kg
ISBN: 9783540262114
ISBN 10: 3540262113
Series: Mathématiques et Applications
Pages: 334
Publication Date: 06 July 2005
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Reviews for Variation et optimisation de formes: Une analyse géométrique

<p>From the reviews: <p> <p> The book under review is devoted to the very interesting field of shape optimization problems, which received a lot of attention in the recent years. many examples coming from applications are presented. The book also includes many exercises which, together with all the remarks, comments and presentations of problems still open, make the volume an excellent choice for anyone who wants to approach the fascinating field of shape optimization. (Giuseppe Buttazo, Zentralblatt MATH, Vol. 1098 (24), 2006)