Pressure-robustness in the context of optimal control
| dc.bibliographicCitation.volume | 2923 | |
| dc.contributor.author | Merdon, Christian | |
| dc.contributor.author | Wollner, Winnifried | |
| dc.date.accessioned | 2022-07-08T13:04:39Z | |
| dc.date.available | 2022-07-08T13:04:39Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | This 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.version | publishedVersion | eng |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9681 | |
| dc.identifier.uri | https://doi.org/10.34657/8719 | |
| dc.language.iso | eng | |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
| dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2923 | |
| dc.relation.issn | 2198-5855 | |
| 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 | optimization of incompressible fluids | eng |
| dc.subject | Stokes equations | eng |
| dc.subject | pressure-robustness | eng |
| dc.subject | a priori error estimates | eng |
| dc.subject.ddc | 510 | |
| dc.title | Pressure-robustness in the context of optimal control | eng |
| dc.type | report | eng |
| dc.type | Text | eng |
| dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | |
| dcterms.extent | 19 S. | |
| local.doifilter.override | ja | |
| tib.accessRights | openAccess | |
| wgl.contributor | WIAS | |
| wgl.subject | Mathematik | |
| wgl.type | Report / Forschungsbericht / Arbeitspapier |
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