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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Optimal Shape Design for Elliptic Systems

Optimal Shape Design for Elliptic Systems

Pironneau, O.

Paperback

Series: Scientific Computation

Technology & EngineeringGeneral MathematicsPhysics

ISBN10: 3642877249
ISBN13: 9783642877247
Publisher: Springer Nature
Published: May 4 2012
Pages: 168
Weight: 0.56
Height: 0.39 Width: 6.00 Depth: 9.00
Language: English
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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