Analysis of the PSPG stabilization for the continuous-in-time discretization of the evolutionary stokes equations

dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume1874
dc.contributor.authorJohn, Volker
dc.contributor.authorNovo, Julia
dc.date.accessioned2016-03-24T17:37:48Z
dc.date.available2019-06-28T08:22:15Z
dc.date.issued2013
dc.description.abstractOptimal error estimates for the pressure stabilized Petrov-Galerkin (PSPG) method for the continuous-in-time discretization of the evolutionary Stokes equations are proved in the case of regular solutions. The main result is applicable to higher order finite elements. The error bounds for the pressure depend on the error of the pressure at the initial time. An approach is suggested for choosing the discrete initial velocity in such a way that this error is bounded. The "instability of the discrete pressure for small time steps", which is reported in the literature, is discussed on the basis of the analytical results. Numerical studies confirm the theoretical results, showing in particular that this instability does not occur for the proposed initial condition.eng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn0946-8633
dc.identifier.urihttps://doi.org/10.34657/2008
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/3320
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.issn0946-8633eng
dc.rights.licenseThis 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.licenseDieses 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.ddc510eng
dc.subject.otherParabolic Anderson modeleng
dc.subject.otherrandom Schrödinger operatoreng
dc.subject.othereigenvalue order statisticseng
dc.subject.otherPoisson point process convergenceeng
dc.subject.otherAnderson localisationeng
dc.titleAnalysis of the PSPG stabilization for the continuous-in-time discretization of the evolutionary stokes equationseng
dc.typeReporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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