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 /

• Main Authors: Kawohl, B. (Author, http://id.loc.gov/vocabulary/relators/aut), Pironneau, O. (http://id.loc.gov/vocabulary/relators/aut), Tartar, L. (http://id.loc.gov/vocabulary/relators/aut), Zolesio, J.-P (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Cellina, A. (Editor, http://id.loc.gov/vocabulary/relators/edt), Ornelas, A. (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
• Edition: 1st ed. 2000.
• Series: C.I.M.E. Foundation Subseries ; 1740
• Subjects: Mathematical analysis.; Analysis (Mathematics).; Calculus of variations.; Analysis.; Calculus of Variations and Optimal Control; Optimization.

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 optim...

Table of Contents:

• 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.