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

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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.

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Authors and Affiliations

  1. Freiburg University, Germany; e-mail: dietmar@titan.mathematik.uni-freiburg.de , , , , , , DE

    Dietmar Kröner

  2. Bonn University, Germany; e-mail: noelle@sfb256.iam.uni-bonn.de , , , , , , DE

    Sebastian Noelle

  3. Charles University, Praha, Czech Republic; e-mail: rokyta@karlin.mff.cuni.cz , , , , , , CS

    Mirko Rokyta

Authors
  1. Dietmar Kröner
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  2. Sebastian Noelle
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  3. Mirko Rokyta
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Received April 15, 1993 / Revised version received March 13, 1995

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Kröner, D., Noelle, S. & Rokyta, M. Convergence of higher order upwind finite volume schemes on unstructured grids for scalar conservation laws in several space dimensions . Numer Math 71, 527–560 (1995). https://doi.org/10.1007/s002110050156

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  • DOI: https://doi.org/10.1007/s002110050156

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