NUMERICAL COMPUTATION OF HIGHER-ORDER DER IVATIVES IN SHAPE OPTIMIZATION

Citation
P. Guillaume et M. Masmoudi, NUMERICAL COMPUTATION OF HIGHER-ORDER DER IVATIVES IN SHAPE OPTIMIZATION, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 316(10), 1993, pp. 1091-1096
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
07644442
Volume
316
Issue
10
Year of publication
1993
Pages
1091 - 1096
Database
ISI
SICI code
0764-4442(1993)316:10<1091:NCOHDI>2.0.ZU;2-J
Abstract
We show in this paper that it is possible to obtain a good approximati on of the higher order derivatives in shape optimization problems. Thi s makes particularly interesting the use of automatic differentiation, and encouraging numerical results have been derived.