Comment on “A positivity preserving and well-balanced DG scheme using finite volume subcells in almost dry regions”

Longxiang Li and Qinghe Zhang

Applied Mathematics and Computation, 2019, vol. 359, issue C, 476-477

Abstract: This comment concerns a mistake in the proving of positivity-preserving property for the well-balanced discontinuous Galerkin methods presented by Meister and Ortleb [Meister A, Ortleb S, A positivity preserving and well-balanced DG scheme using finite volume subcells in almost dry regions, Applied Mathematics and Computation 272 (2016) 259–273]. Furthermore, we provide a correct proof which gives the same result.

Keywords: Shallow water; Discontinuous Galerkin; Positivity preservation (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:359:y:2019:i:c:p:476-477

DOI: 10.1016/j.amc.2019.03.069

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