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- W4300431023 abstract "On étudie numériquement les déformations d'une membrane élastique non linéaire. On considère le modèle de membrane obtenu par Le Dret et Raoult par la méthode de Γ-convergence. Les déformations de la membrane minimisent une énergie non quadratique. On effectue une approximation du modèle par éléments finis conformes et on utilise un algorithme de gradient conjugué non linéaire pour minimiser l'énergie discrétisée. Pour citer cet article : N. Kerdid et al., C. R. Acad. Sci. Paris, Ser. I 340 (2005). We study numerically the deformations of a nonlinearly elastic membrane. We consider the nonlinear membrane model obtained by Le Dret and Raoult using Γ-convergence. In this model, membrane deformations minimize a highly nonquadratic energy. We consider a conforming finite element approximation of the problem and use a nonlinear conjugate gradient algorithm to minimize the discrete energy. To cite this article: N. Kerdid et al., C. R. Acad. Sci. Paris, Ser. I 340 (2005)." @default.
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- W4300431023 date "2005-01-01" @default.
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- W4300431023 title "Approximation numérique d'un problème de membrane non linéaire" @default.
- W4300431023 doi "https://doi.org/10.1016/j.crma.2004.11.016" @default.
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