Optimal Shape Design : Lectures given at the joint C.I.M./C.I.M.E. Summer School held in Tróia, Portugal, June 1 6, 1998
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 optim...
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| Auteurs principaux: | , , , |
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| Andre forfattere: | , |
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1740 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Autre contribution : , Jean-Paul Zolésio (auteur) Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Optimal shape design, lectures given at the joint C.I.M-C.I.M.E. summer school held in Tróia, Portugal, June 1-6, 1998, B. Kawohl, O. Pironneau, L. Tartar... [et al.], 2000, Berlin, Springer, 1 vol. (IX-388 p.), Lecture notes in mathematics, 3-540-67971-5 • Optimal Shape Design, Texte imprimé, 9783662204214 |
| Summary: | 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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| Emne beskrivelse: | Autre contribution : , Jean-Paul Zolésio (auteur) Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783540444862 (PDF) |
| ISSN: | 1617-9692 |
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