[Influence de l'orthonormalisation itérative de Gram–Schmidt dans la méthode asymptotique numérique]
Dans ce travail, on discute l'influence de l'orthonormalisation de Gram–Schmidt sur le calcul de la représentation rationnelle dans la méthode asymptotique numérique. Les algorithmes classique, modifié et itératif de Gram–Schmidt sont comparés en utilisant les produits scalaires ordinaire et masse. Les précisions des algorithmes proposés sont illustrées sur des exemples de coques élastiques.
In this paper we discuss the influence of Gram–Schmidt orthonormalization for the computation of the rational representation in the asymptotic numerical method. Classical, modified and iterated Gram–Schmidt algorithms are compared using the ordinary and the mass scalar products. The accuracy of the proposed algorithms are tested on elastic shells.
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Mots-clés : Solides et structures, Méthode asymptotique numérique, Élément fini, Élasticité non-linéaire, Approximant de Padé, Orthonormalisation de Gram–Schmidt
Rédouane Jamai 1 ; Noureddine Damil 1
@article{CRMECA_2003__331_5_351_0, author = {R\'edouane Jamai and Noureddine Damil}, title = {Influence of iterated {Gram{\textendash}Schmidt} orthonormalization in the asymptotic numerical method}, journal = {Comptes Rendus. M\'ecanique}, pages = {351--356}, publisher = {Elsevier}, volume = {331}, number = {5}, year = {2003}, doi = {10.1016/S1631-0721(03)00072-X}, language = {en}, }
TY - JOUR AU - Rédouane Jamai AU - Noureddine Damil TI - Influence of iterated Gram–Schmidt orthonormalization in the asymptotic numerical method JO - Comptes Rendus. Mécanique PY - 2003 SP - 351 EP - 356 VL - 331 IS - 5 PB - Elsevier DO - 10.1016/S1631-0721(03)00072-X LA - en ID - CRMECA_2003__331_5_351_0 ER -
Rédouane Jamai; Noureddine Damil. Influence of iterated Gram–Schmidt orthonormalization in the asymptotic numerical method. Comptes Rendus. Mécanique, Volume 331 (2003) no. 5, pp. 351-356. doi : 10.1016/S1631-0721(03)00072-X. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00072-X/
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