Finite volume evolution Galerkin methods — A survey

M. Lukáčová-Medvid’ová and K. W. Morton
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M. Lukáčová-Medvid’ová: Hamburg University of Technology
K. W. Morton: Hamburg University of Technology

Indian Journal of Pure and Applied Mathematics, 2010, vol. 41, issue 2, 329-361

Abstract: Abstract FVEG methods have been developed over the last dozen years to approximate unsteady hyperbolic equations in several space dimensions. In this survey the algorithmic origins of the methods are described. Then a detailed derivation of the methods is given, followed by evidence of their stability and accuracy. Finally several examples of their application are given.

Keywords: Bicharacteristics; multidimensional methods; finite volume schemes; multidimensional systems of hyperbolic conservation laws (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s13226-010-0021-1

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