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.
B. Kawohl & O. Pironneau
Optimal Shape Design [PDF ebook]
Lectures given at the Joint C.I.M./C.I.M.E. Summer School held in Troia (Portugal), June 1-6, 1998
Optimal Shape Design [PDF ebook]
Lectures given at the Joint C.I.M./C.I.M.E. Summer School held in Troia (Portugal), June 1-6, 1998
قم بشراء هذا الكتاب الإلكتروني واحصل على كتاب آخر مجانًا!
لغة الإنجليزية ● شكل PDF ● ISBN 9783540444862 ● محرر A. Cellina & A. Ornelas ● الناشر Springer Berlin Heidelberg ● نشرت 2007 ● للتحميل 3 مرات ● دقة EUR ● هوية شخصية 6593210 ● حماية النسخ Adobe DRM
يتطلب قارئ الكتاب الاليكتروني قادرة DRM