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In this paper, we present a comparative study of two non-linear schemes for solving finite element systems of Saint-Venant equations. The first scheme is the Newton-Raphson linearisation, the second one is the Newton-Asymptotic method. The relative efficiency of such approaches is evaluated over an example. Mots-clés:éléments finis, équations de saint-venant, méthodes non linéaires, méthode Newton-Asymptotique.

Méthode Newton-asymptotique pour la résolution des équations de Saint-Venant