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Convergence of higher orderupwind finite volume schemes onunstructured grids for scalar conservation lawsin several space dimensions
Authors:Dietmar Kröner  Sebastian Noelle  Mirko Rokyta
Affiliation:(1) Freiburg University, Germany; e-mail: dietmar@titan.mathematik.uni-freiburg.de , DE;(2) Bonn University, Germany; e-mail: noelle@sfb256.iam.uni-bonn.de , DE;(3) Charles University, Praha, Czech Republic; e-mail: rokyta@karlin.mff.cuni.cz , CS
Abstract:Summary. We prove convergence of a class of higher order upwind finite volume schemes on unstructured grids for scalar conservation laws in several space dimensions. The result is applied to the discontinuous Galerkin method due to Cockburn, Hou and Shu. Received April 15, 1993 / Revised version received March 13, 1995
Keywords:Mathematics Subject Classification (1991): 35L60   35L65   35L67   65M12   76N15
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