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Optimal Shape Design for Elliptic Systems by O Pironneau
Optimal Shape Design for Elliptic Systems by O Pironneau
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Optimal Shape Design for Elliptic Systems

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Description

The study of optimal shape design can be arrived at by asking the following question: "What is the best shape for a physical system?" This book is an applications-oriented study of such physical systems; in particular, those which can be described by an elliptic partial differential equation and where the shape is found by the minimum of a single criterion function. There are many problems of this type in high-technology industries. In fact, most numerical simulations of physical systems are solved not to gain better understanding of the phenomena but to obtain better control and design. Problems of this type are described in Chapter 2. Traditionally, optimal shape design has been treated as a branch of the calculus of variations and more specifically of optimal control. This subject interfaces with no less than four fields: optimization, optimal control, partial differential equations (PDEs), and their numerical solutions-this is the most difficult aspect of the subject. Each of these fields is reviewed briefly: PDEs (Chapter 1), optimization (Chapter 4), optimal control (Chapter 5), and numerical methods (Chapters 1 and 4).
Release date Australia
May 4th, 2012
Author
Audience
  • Professional & Vocational
Edition
Softcover reprint of the original 1st ed. 1984
Illustrations
29 Illustrations, black and white; XII, 168 p. 29 illus.
Pages
168
Dimensions
152x229x10
ISBN-13
9783642877247
Product ID
22340395

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