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Books > Science & Mathematics > Physics > Classical mechanics > Fluid mechanics
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Optimal Shape Design for Elliptic Systems (Paperback, Softcover reprint of the original 1st ed. 1984)
Loot Price: R2,382
Discovery Miles 23 820
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Optimal Shape Design for Elliptic Systems (Paperback, Softcover reprint of the original 1st ed. 1984)
Series: Scientific Computation
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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).
General
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