Résolution numérique d'un problème elliptique fortement anisotrope en deux dimensions par une méthode de paramétrisation

We introduce a numerical method for solving an anisotropic elliptic problem. We address the case where the direction of the anisotropy varies, and the anisotropy is high. A finite volume scheme is implemented to solve the problem for small anisotropy ratio, then the parameterization method consists in devising an extrapolation of the solution of the anisotropic problem by combining solutions of a sequence of isotropic problems. To cite this article: P. Guillaume, V. Latocha, C. R. Acad. Sci. Paris, Ser. I 337 (2003).