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La methode d'elements finis de Lagrange-Galerkin est inconditionnellement stable pour le probleme d'advection lineaire, si le calcul des produits scalaires est obtenu a l'aide d'une integration exacte. Il convient d'etre prudent dans le cas ou l'on utilise une integration non exacte. On developpe une nouvelle technique stable

Stability of the Lagrange-Galerkin method with non-exact integration