Optimal Shape Design: Lectures given at the Joint C.I.M./C.I.M.E. Summer School held in Troia (Portugal), June 1-6, 1998 (Lecture Notes in Mathematics, 1740)
ISBN-13:
9783540679714
ISBN-10:
3540679715
Edition:
2000
Author:
O. Pironneau, J.-P. Zolésio, B. Kawohl, L. Tartar, A. Cellina, A. Ornelas
Publication date:
2000
Publisher:
Springer
Format:
Paperback
404 pages
FREE US shipping
Book details
ISBN-13:
9783540679714
ISBN-10:
3540679715
Edition:
2000
Author:
O. Pironneau, J.-P. Zolésio, B. Kawohl, L. Tartar, A. Cellina, A. Ornelas
Publication date:
2000
Publisher:
Springer
Format:
Paperback
404 pages
Summary
Optimal Shape Design: Lectures given at the Joint C.I.M./C.I.M.E. Summer School held in Troia (Portugal), June 1-6, 1998 (Lecture Notes in Mathematics, 1740) (ISBN-13: 9783540679714 and ISBN-10: 3540679715), written by authors
O. Pironneau, J.-P. Zolésio, B. Kawohl, L. Tartar, A. Cellina, A. Ornelas, was published by Springer in 2000.
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Description
Optimal Shape Design is concerned with the optimization of some performance criterion dependent (besides the constraints of the problem) on the "shape" of some region. The main topics covered are: the optimal design of a geometrical object, for instance a wing, moving in a fluid; the optimal shape of a region (a harbor), given suitable constraints on the size of the entrance to the harbor, subject to incoming waves; the optimal design of some electrical device subject to constraints on the performance. The aim is to show that Optimal Shape Design, besides its interesting industrial applications, possesses nontrivial mathematical aspects. The main theoretical tools developed here are the homogenization method and domain variations in PDE. The style is mathematically rigorous, but specifically oriented towards applications, and it is intended for both pure and applied mathematicians. The reader is required to know classical PDE theory and basic functional analysis.
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