Paper Info
Title
Convergence of second-order, entropy stable methods for multi-dimensional conservation laws.
Abstract
High-order accurate,entropy stablenumerical methods for hyperbolic conservation laws have attracted much interest over the last decade, but only a few rigorous convergence results are available, particularly in multiple space dimensions. In this paper we show how the entropy stability of one such method, which is semi-discrete in time, yields a (weak) bound on oscillations. Under the assumption ofL(infinity)-boundedness of the approximations we use compensated compactness to prove convergence to a weak solution satisfying at least one entropy condition.
Year
DOI
Venue
2019
10.1051/m2an/2019090
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
Keywords
DocType
Volume
Multi-dimensional conservation laws,finite volume methods,TECNO scheme,entropy stability
Journal
54
Issue
ISSN
Citations 
4
0764-583X
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Neelabja Chatterjee100.34
Ulrik S. Fjordholm2739.95