Asymptotic decomposition of a singular perturbation problem with unbounded energyDécomposition asymptotique d'une perturbation singulière d'énergie sans limite |
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| Authors: | Franck Fontvieille Gregory P Panasenko Jérôme Pousin |
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| Institution: | 1. MAPLY, UMR CNRS 5585, INSA de Lyon, Bât. Léonard de Vinci, 21, avenue Jean Capelle, 69621 Villeurbanne, France;2. Equipe d''analyse numérique, UPRES EA 3058, Université de Saint-Etienne, 23, rue Paul Michelon, 42023 Saint-Etienne, France |
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| Abstract: | We consider a singular perturbation with unbounded energy. We propose here an effective method of finite element computation, fit for accounting for the linear behavior of the solution. The Hilbert space of the variational formulation, H20(0,1), is replaced by a simpler subspace containing an asymptotic solution of the initial problem. Error estimates are derived by eliminating some degrees of freedom and a numerical experiment is developped. To cite this article: F. Fontvieille et al., C. R. Mecanique 330 (2002) 507–512. |
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| Keywords: | computational solid mechanics asymptotic decomposition finite element singular perturbation error estimates mécanique des solides numérique décomposition asymptotique éléments finis perturbation singulière estimation d'erreur |
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