Convergence of a residual based artificial viscosity finite element method

Murtazo Nazarov

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We present a residual based artificial viscosity finite element method to solve conservation laws. The Galerkin approximation is stabilized by only residual based artificial viscosity, without any least-squares, SUPG, or streamline diffusion terms. We prove convergence of the method, applied to a scalar conservation law in two space dimensions, toward an unique entropy solution for implicit time stepping schemes. © 2012 Elsevier B.V. All rights reserved.
Original languageEnglish (US)
Pages (from-to)616-626
Number of pages11
JournalComputers & Mathematics with Applications
Volume65
Issue number4
DOIs
StatePublished - Feb 2013
Externally publishedYes

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