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

14 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

Fingerprint Dive into the research topics of 'Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations'. Together they form a unique fingerprint.

Cite this