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Analysis of a pressure-robust hybridized discontinuous Galerkin method for the stationary Navier-Stokes equations

dc.contributor.authorKirk, Keegan L.A.
dc.contributor.authorRhebergen, Sander
dc.date.accessioned2022-05-16T20:40:43Z
dc.date.available2022-05-16T20:40:43Z
dc.date.issued2019-08-30
dc.description.abstractWe present well-posedness and an a priori error analysis of the hybridized discontinuous Galerkin method for the stationary form of the Navier-Stokes problem proposed in (J Sci Comput, 76(3):1484{ 1501, 2018). This scheme was shown to result in an approximate velocity  eld that is pointwise divergence-free and divergence-conforming. As a consequence we show that the velocity error estimate is independent of the pressure. Furthermore, we show that estimates for both the velocity and pressure are optimal. Numerical examples demonstrate pressure-robustness and optimality of the scheme.en
dc.description.sponsorshipNatural Sciences and Engineering Research Council of Canada, Discovery Grant program (RGPIN-05606-2015) || Natural Sciences and Engineering Research Council of Canada, Discovery Accelerator Supplement (RGPAS- 478018-2015).en
dc.identifier.urihttps://doi.org/10.1007/s10915-019-01040-y
dc.identifier.urihttp://hdl.handle.net/10012/18285
dc.language.isoenen
dc.publisherSpringeren
dc.relation.ispartofseriesJournal of Scientific Computing;81
dc.subjectNavier-Stokesen
dc.subjectfinite element methoden
dc.subjecthybridizeden
dc.subjectdiscontinuous Galerkinen
dc.subjectpressure-robusten
dc.titleAnalysis of a pressure-robust hybridized discontinuous Galerkin method for the stationary Navier-Stokes equationsen
dc.typeArticleen
dcterms.bibliographicCitationKirk, K.L.A., Rhebergen, S. Analysis of a Pressure-Robust Hybridized Discontinuous Galerkin Method for the Stationary Navier-Stokes Equations. J Sci Comput 81, 881–897 (2019). https://doi.org/10.1007/s10915-019-01040-yen
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Applied Mathematicsen
uws.peerReviewStatusRevieweden
uws.scholarLevelGraduateen
uws.typeOfResourceTexten

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