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Issue ESAIM: Proc.
Volume 22, 2008
CANUM 2006 - Congrès National d'Analyse Numérique
Page(s) 181 - 189
DOI http://dx.doi.org/10.1051/proc:072223
Published online 01 February 2008

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 Vazquez4

1  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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