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- catalog abstract "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.".
- catalog contributor b11946759.
- catalog contributor b11946760.
- catalog contributor b11946761.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description "B. Kawohl, Some nonconvex shape optimization problems -- L. Tartar, An introduction to the homogenization method of optimal design -- J.-P. Zolésio, Shape analysis and weak flow -- O. Pironneau, Optimal shape design by local boundary variations.".
- catalog 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.".
- catalog extent "ix, 388 p. :".
- catalog identifier "3540679715 (softcover)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1740.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1740".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "510 s 519.3 21".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematical optimization.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1740 QA402.5".
- catalog subject "Structural optimization Mathematics.".
- catalog tableOfContents "B. Kawohl, Some nonconvex shape optimization problems -- L. Tartar, An introduction to the homogenization method of optimal design -- J.-P. Zolésio, Shape analysis and weak flow -- O. Pironneau, Optimal shape design by local boundary variations.".
- catalog title "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 / B. Kawohl ... [et al.] ; editors, A Cellina and A. Ornelas.".
- catalog type "text".