Convergence of a residual based artificial viscosity finite element method

Handle URI:
http://hdl.handle.net/10754/597873
Title:
Convergence of a residual based artificial viscosity finite element method
Authors:
Nazarov, Murtazo
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.
Citation:
Nazarov M (2013) Convergence of a residual based artificial viscosity finite element method. Computers & Mathematics with Applications 65: 616–626. Available: http://dx.doi.org/10.1016/j.camwa.2012.11.003.
Publisher:
Elsevier BV
Journal:
Computers & Mathematics with Applications
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
Feb-2013
DOI:
10.1016/j.camwa.2012.11.003
Type:
Article
ISSN:
0898-1221
Sponsors:
This material is based upon work supported by the Swedish Research Council (VR), and the Swedish Foundation for Strategic Research (SSF) and by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).
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Full metadata record

DC FieldValue Language
dc.contributor.authorNazarov, Murtazoen
dc.date.accessioned2016-02-25T12:58:09Zen
dc.date.available2016-02-25T12:58:09Zen
dc.date.issued2013-02en
dc.identifier.citationNazarov M (2013) Convergence of a residual based artificial viscosity finite element method. Computers & Mathematics with Applications 65: 616–626. Available: http://dx.doi.org/10.1016/j.camwa.2012.11.003.en
dc.identifier.issn0898-1221en
dc.identifier.doi10.1016/j.camwa.2012.11.003en
dc.identifier.urihttp://hdl.handle.net/10754/597873en
dc.description.abstractWe 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.en
dc.description.sponsorshipThis material is based upon work supported by the Swedish Research Council (VR), and the Swedish Foundation for Strategic Research (SSF) and by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).en
dc.publisherElsevier BVen
dc.subjectArtificial viscosityen
dc.subjectConvergenceen
dc.subjectFinite element methoden
dc.subjectNonlinear conservation lawsen
dc.subjectShock-capturingen
dc.titleConvergence of a residual based artificial viscosity finite element methoden
dc.typeArticleen
dc.identifier.journalComputers & Mathematics with Applicationsen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
kaust.grant.numberKUS-C1-016-04en
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