| 书目名称 | Optimal Shape Design | | 副标题 | Lectures given at th | | 编辑 | Bernhard Kawohl,Olivier Pironneau,Jean-Paul Zolési | | 视频video | | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .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. | | 出版日期 | Book 2000 | | 关键词 | differential equation; functional analysis; homogenization; numerical methods; optimization; partial diff | | 版次 | 1 | | doi | https://doi.org/10.1007/BFb0106739 | | isbn_softcover | 978-3-540-67971-4 | | isbn_ebook | 978-3-540-44486-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2000 |
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发表于 2025-3-21 18:13:29
