ENGLISH

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

By B. Kawohl

Book information

Publisher
Springer
Year
2000
ISBN
3-540-67971-5
ISSN
0075-8434
LCC
QA3 .L28 no. 1740,QA402.5 .L28 no. 1740
Open Library ID
OL22419481M
Language
english
Format
DJVU
Filesize
3 MB (2626732 bytes)
Series
Lecture notes in mathematics 1740
Edition
1
Pages
399\399
Library
mexmat
Time added
2009-07-20 03:45:11

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.

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