Please use this identifier to cite or link to this item: https://oar.tib.eu/jspui/handle/123456789/1784
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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.contributor.authorBarrenechea, Gabriel R.
dc.contributor.authorJohn, Volker
dc.contributor.authorKnobloch, Petr
dc.date.accessioned2016-03-24T17:38:07Z
dc.date.available2019-06-28T08:02:16Z
dc.date.issued2012
dc.identifier.urihttps://oar.tib.eu/jspui/handle/123456789/1784
dc.identifier.urihttp://dx.doi.org/10.34657/1834-
dc.description.abstractAn extension of the local projection stabilization (LPS) finite element method for convection-diffusion-reaction equations is presented and analyzed, both in the steady-state and the transient setting. In addition to the standard LPS method, a nonlinear crosswind diffusion term is introduced that accounts for the reduction of spurious oscillations. The existence of a solution can be proved and, depending on the choice of the stabilization parameter, also its uniqueness. Error estimates are derived which are supported by numerical studies. These studies demonstrate also the reduction of the spurious oscillations.
dc.formatapplication/pdf
dc.languageeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
dc.relation.ispartofseriesPreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 1690, ISSN 0946-8633-
dc.subjectFinite element method
dc.subjectlocal projection stabilization
dc.subjectcrosswind diffusion
dc.subjectconvection-diffusion-reaction equation
dc.subjectwell posedness
dc.subjecttime dependent problem
dc.subjectstability
dc.subjecterror estimates
dc.subject.ddc510
dc.titleA local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations
dc.typereport-
dc.typeText-
dc.description.versionpublishedVersioneng
local.accessRightsopenAccess-
wgl.contributorWIASger
wgl.subjectMathematikger
wgl.typeReport / Forschungsbericht / Arbeitspapierger
dcterms.bibliographicCitation.journalTitlePreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik-
local.identifier.doihttp://dx.doi.org/10.34657/1834-
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