Numerische Mathematik

, Volume 71, Issue 4, pp 527–560 | Cite as

Convergence of higher order upwind finite volume schemes on unstructured grids for scalar conservation laws in several space dimensions

  • Dietmar Kröner
  • Sebastian Noelle
  • Mirko Rokyta

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.

Mathematics Subject Classification (1991): 35L60, 35L65, 35L67, 65M12, 76N15 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Dietmar Kröner
    • 1
  • Sebastian Noelle
    • 2
  • Mirko Rokyta
    • 3
  1. 1.Freiburg University, Germany; e-mail: dietmar@titan.mathematik.uni-freiburg.de DE
  2. 2.Bonn University, Germany; e-mail: noelle@sfb256.iam.uni-bonn.de DE
  3. 3.Charles University, Praha, Czech Republic; e-mail: rokyta@karlin.mff.cuni.cz CS

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