Overview
Ce livre est une initiation aux approches modernes de l’optimisation mathématique de formes. 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.
Full Product Details
Author: Antoine Henrot ,
Michel Pierre ,
Michel Pierre
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 2005 ed.
Volume: 48
Dimensions:
Width: 15.50cm
, Height: 1.90cm
, Length: 23.50cm
Weight: 1.100kg
ISBN: 9783540262114
ISBN 10: 3540262113
Pages: 334
Publication Date: 06 July 2005
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: In Print
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Language: French
Reviews
<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)
From the reviews: <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. a ] 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)
From the reviews: ""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)
