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dc.contributor.authorCockburn, Bernardo
dc.contributor.authorKanschat, Guido
dc.contributor.authorSchötzau, Dominik
dc.date.accessioned2016-02-25T12:41:22Z
dc.date.available2016-02-25T12:41:22Z
dc.date.issued2008-12-20
dc.identifier.citationCockburn B, Kanschat G, Schötzau D (2008) An Equal-Order DG Method for the Incompressible Navier-Stokes Equations. Journal of Scientific Computing 40: 188–210. Available: http://dx.doi.org/10.1007/s10915-008-9261-1.
dc.identifier.issn0885-7474
dc.identifier.issn1573-7691
dc.identifier.doi10.1007/s10915-008-9261-1
dc.identifier.urihttp://hdl.handle.net/10754/597522
dc.description.abstractWe introduce and analyze a discontinuous Galerkin method for the incompressible Navier-Stokes equations that is based on finite element spaces of the same polynomial order for the approximation of the velocity and the pressure. Stability of this equal-order approach is ensured by a pressure stabilization term. A simple element-by-element post-processing procedure is used to provide globally divergence-free velocity approximations. For small data, we prove the existence and uniqueness of discrete solutions and carry out an error analysis of the method. A series of numerical results are presented that validate our theoretical findings. © 2008 Springer Science+Business Media, LLC.
dc.description.sponsorshipG. Kanschat was supported in part by NSF through award no. DMS-0713829 and by awardno. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).D. Schötzau was supported in part by the Natural Sciences and Engineering Research Council ofCanada (NSERC).
dc.publisherSpringer Nature
dc.subjectDiscontinuous Galerkin methods
dc.subjectEqual-order methods
dc.subjectIncompressible Navier-Stokes equations
dc.titleAn Equal-Order DG Method for the Incompressible Navier-Stokes Equations
dc.typeArticle
dc.identifier.journalJournal of Scientific Computing
dc.contributor.institutionUniversity of Minnesota Twin Cities, Minneapolis, United States
dc.contributor.institutionTexas A and M University, College Station, United States
dc.contributor.institutionThe University of British Columbia, Vancouver, Canada
kaust.grant.numberKUS-C1-016-04


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