Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations

Andrea Bonito, Jean-Luc Guermond, Bojan Popov

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We establish the L2-stability of an entropy viscosity technique applied to nonlinear scalar conservation equations. First-and second-order explicit time-stepping techniques using continuous finite elements in space are considered. The method is shown to be stable independently of the polynomial degree of the space approximation under the standard CFL condition. © 2013 American Mathematical Society.
Original languageEnglish (US)
Pages (from-to)1039-1062
Number of pages24
JournalMathematics of Computation
Volume83
Issue number287
DOIs
StatePublished - Oct 3 2013
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: This material is based upon work supported by the Department of Homeland Security under agreement 2008-DN-077-ARI018-02, National Science Foundation grants DMS-0811041, DMS-0914977, DMS-1015984, AF Office of Scientific Research grant FA99550-12-0358, and is partially supported by award KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST)
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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