Pressure-robustness in the context of optimal control

dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume2923
dc.contributor.authorMerdon, Christian
dc.contributor.authorWollner, Winnifried
dc.date.accessioned2022-07-08T13:04:39Z
dc.date.available2022-07-08T13:04:39Z
dc.date.issued2022
dc.description.abstractThis paper studies the benefits of pressure-robust discretizations in the scope of optimal control of incompressible flows. Gradient forces that may appear in the data can have a negative impact on the accuracy of state and control and can only be correctly balanced if their L2-orthogonality onto discretely divergence-free test functions is restored. Perfectly orthogonal divergence-free discretizations or divergence-free reconstructions of these test functions do the trick and lead to much better analytic a priori estimates that are also validated in numerical examples.eng
dc.description.versionpublishedVersioneng
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/9681
dc.identifier.urihttps://doi.org/10.34657/8719
dc.language.isoeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
dc.relation.doihttps://doi.org/10.20347/WIAS.PREPRINT.2923
dc.relation.issn2198-5855
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.subjectoptimization of incompressible fluidseng
dc.subjectStokes equationseng
dc.subjectpressure-robustnesseng
dc.subjecta priori error estimateseng
dc.subject.ddc510
dc.titlePressure-robustness in the context of optimal controleng
dc.typereporteng
dc.typeTexteng
dcterms.extent19 S.
tib.accessRightsopenAccess
wgl.contributorWIAS
wgl.subjectMathematik
wgl.typeReport / Forschungsbericht / Arbeitspapier
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