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ESAIM: Proc., 2008, Vol. 22, pp. 181-189
DOI: 10.1051/proc:072223
Calculs de sensibilité par différentiation pour l'Aérodynamique
Alain Dervieux1, Youssef Mesri2, Francois Courty1, Laurent Hascoet1, Bruno Koobus3 and Mariano Vazquez41 INRIA Project-Team, 2004 route des lucioles, BP 93, 06902 Sophia-Antipolis, FRANCE ()
2 INRIA Project-Team, 2004 route des lucioles, BP 93, 06902 Sophia-Antipolis, FRANCE ()
3 , Département de Mathématiques, Université de Montpellier II, Case Courrier 51, 34095 Montpellier Cedex 5, France.
4 Computational Science and Mechanics Team, Barcelona Supercomputing Center, Nexus II - Campus Nord UPC C/ Jordi Girona, 29, 08034 Barcelona - Spain ()
(... / Published online: 1 February 2008)
Abstract
Both continuous and discrete sensititivites and gradient evaluations
carry important information in the building of an optimal shape loop.
This is particularly true for the smoothness of objective functionals and
the functions representing their gradients. The main application
addressed here is the choice of a preconditioner for the
optimisation loop.
Résumé
Gradient continu, gradient discret, tous deux nous apportent des informations
importantes pour les boucles de conception optimale de forme,
notamment en ce qui concerne la régularité des fonctionnelles
et des fonctions constituées par leur gradients. La principale application
présentée est le choix d'un préconditionneur pour la boucle d'optimisation.
Mathematics Subject Classification. ???, ???
Key words: shape design, adjoint state, gradient method, compressible flow
© EDP Sciences, ESAIM 2007
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