Contrôle de l'approximation géométrique d'une interface par une métrique anisotrope

Abstract

In this Note, we propose a general purpose method to control the geometric approximation of a manifold of codimension 1 associated with an isovalue of a scalar function u. To this end, we rely on the generation and the adaptation of an anisotropic triangulation to a metric tensor field related to the intrinsic properties of the manifold. An example of anisotropic mesh adaptation in the vicinity of an analytical curve is provided to emphasize the efficiency of this approach. To cite this article: V. Ducrot, P. Frey, C. R. Acad. Sci. Paris, Ser. I 345 (2007).