Convergence of the Finite Volume Method for scalar conservation laws with discontinuous flux function

Sébastien Martin (1) , Julien Vovelle (2)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay
2 IRMAR - Institut de Recherche Mathématique de Rennes

We show the convergence of the Finite Volume method applied to the computation of the entropy solution of the Cauchy-Dirichlet Problem for a scalar conservation law with discontinuous (with respect to the unknown) flux function.

Mots clés: Finite Volume scheme; conservation law; discontinuous flux

Domaines: Equations aux dérivées partielles [math.AP]

Sébastien Martin, Julien Vovelle. Convergence of the Finite Volume Method for scalar conservation laws with discontinuous flux function. ESAIM: Mathematical Modelling and Numerical Analysis, 2008, 42 (5), pp.699-727. ⟨10.1051/m2an:2008023⟩. ⟨hal-00149007v1⟩