New connections between finite element formulations of the Navier-Stokes equations
dc.bibliographicCitation.volume | 1516 | |
dc.contributor.author | Bowers, Abigail L. | |
dc.contributor.author | Cousins, Benjamin R. | |
dc.contributor.author | Linke, Alexander | |
dc.contributor.author | Rebholz, Leo G. | |
dc.date.accessioned | 2016-03-24T17:38:37Z | |
dc.date.available | 2019-06-28T08:05:24Z | |
dc.date.issued | 2010 | |
dc.description.abstract | We show the velocity solutions to the convective, skew-symmetric, and rotational Galerkin finite element formulations of the Navier-Stokes equations are identical if Scott-Vogelius elements are used, and thus all three formulations will the same pointwise divergence free solution velocity. A connection is then established between the formulations for grad-div stabilized Taylor-Hood elements: under mild restrictions, the formulations' velocity solutions converge to each other (and to the Scott-Vogelius solution) as the stabilization parameter tends to infinity. Thus the benefits of using Scott-Vogelius elements can be obtained with the less expensive Taylor-Hood elements, and moreover the benefits of all the formulations can be retained if the rotational formulation is used. Numerical examples are provided that confirm the theory | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/2731 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2304 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.ispartofseries | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik, Volume 1516, ISSN 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject | Navier-Stokes equations | eng |
dc.subject | rotational form | eng |
dc.subject | Scott-Vogelius element | eng |
dc.subject | strong mass conservation | eng |
dc.subject.ddc | 510 | eng |
dc.title | New connections between finite element formulations of the Navier-Stokes equations | eng |
dc.type | report | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
Files
Original bundle
1 - 1 of 1