Convergence of higher orderupwind finite volume schemes onunstructured grids for scalar conservation lawsin several space dimensions |
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Authors: | Dietmar Kröner Sebastian Noelle Mirko Rokyta |
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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 |
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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 |
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Keywords: | Mathematics Subject Classification (1991): 35L60 35L65 35L67 65M12 76N15 |
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