Optimal Shape Design for Elliptic Systems is popular PDF and ePub book, written by O. Pironneau in 2012-12-06, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Optimal Shape Design for Elliptic Systems can be Read Online from any device for your convenience.
Optimal Shape Design for Elliptic Systems Book PDF Summary
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).
Detail Book of Optimal Shape Design for Elliptic Systems PDF
- Author : O. Pironneau
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642877223
- Genre : Science
- Total Page : 179 pages
- Language : English
- PDF File Size : 17,8 Mb
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