Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 359, Issue -, Pages 476-477Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2019.03.069
Keywords
Shallow water; Discontinuous Galerkin; Positivity preservation
Categories
Funding
- National Key Research and Development Project of China [2017YFC1404200]
- Science Fund for Creative Research Groups of the National Natural Science Foundation of China [51621092]
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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. (C) 2019 Elsevier Inc. All rights reserved.
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