Optimal Shape Design for Elliptic Systems

Name: Optimal Shape Design for Elliptic Systems
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642877247
Price: 582.46 RON
Availability: InStock

Autor: Olivier Pironneau

Limbă:

Legare: Carte broșată

Editura: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Disponibilitate: În depozitul extern în cantități mici

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582.46 lei

The study of optimal shape design can be arrived at by asking the following question: "What is the b...

Informații despre carte

Autor

Olivier Pironneau

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2012

Pagini

168

EAN

9783642877247

ISBN

3642877249

Enbook ID

02646103

Editura

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Greutate

277

Dimensiuni

152 x 229 x 11

Descriere completă

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).

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Optimal Shape Design for Elliptic Systems

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