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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Some nonconvex shape optimization problems.- An introduction to the homogenization method in optimal design.- Shape analysis and weak flow.- Optimal shape design by local boundary variations.
Book by Kawohl B Pironneau O Tartar L Zolesio JP
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Softcover. IX, 388 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04576 9783540679714 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2490812
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Lecture given at the joint C.I.M./C.I.M.E. Summer School held in Tróia, Portugal June 1-6, 1998. Berlin, Springer 2000. IX, 388 S., OKart. Neuwertig. Codice articolo 118071
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 402 pp. Englisch. Codice articolo 9783540679714
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9783540679714
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Taschenbuch. Condizione: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 402 pp. Englisch. Codice articolo 9783540679714
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