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Item Details
| Title:
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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 |
| By: |
B. Kawohl, Olivier Pironneau, L. Tartar |
| Format: |
Paperback |
| List price:
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£38.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3540679715 |
| ISBN 13: |
9783540679714 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
16 November, 2000 |
| Edition: |
9th 2000 ed. |
| Series: |
Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries v. 1740 |
| Pages: |
392 |
| Description: |
This study is concerned with the optimization of some performance criterion dependent (besides the constraints of the problem) on the "shape" of some regions. The aim is to show that optimal shape design, besides its industrial applications, possesses nontrivial mathematical aspects. |
| Synopsis: |
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. |
| Illustrations: |
biography |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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