A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2311 | |
dc.contributor.author | Hintermüller, Michael | |
dc.contributor.author | Hinze, Michael | |
dc.contributor.author | Kahle, Christian | |
dc.contributor.author | Tobias, Keil | |
dc.date.accessioned | 2016-12-15T22:47:04Z | |
dc.date.available | 2019-06-28T08:19:01Z | |
dc.date.issued | 2016 | |
dc.description.abstract | This paper is concerned with the development and implementation of an adaptive solution algorithm for the optimal control of a time-discrete Cahn-Hilliard-Navier-Stokes system with variable densities. The free energy density associated to the Cahn-Hilliard system incorporates the double-obstacle potential which yields an optimal control problem for a family of coupled systems in each time instant of a variational inequality of fourth order and the Navier-Stokes equation. A dual-weighted residual approach for goal-oriented adaptive finite elements is presented which is based on the concept of C-stationarity. The overall error representation depends on primal residuals weighted by approximate dual quantities and vice versa as well as various complementarity mismatch errors. Details on the numerical realization of the adaptive concept and a report on numerical tests are given. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/1808 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3195 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.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.ddc | 510 | eng |
dc.subject.other | Cahn-Hilliard | eng |
dc.subject.other | C-stationarity | eng |
dc.subject.other | mathematical programming with equilibrium constraints | eng |
dc.subject.other | Navier-Stokes | eng |
dc.subject.other | non-matched densities | eng |
dc.subject.other | non-smooth potentials | eng |
dc.subject.other | optimal control | eng |
dc.subject.other | adaptive finite element method | eng |
dc.subject.other | goal-oriented error estimation | eng |
dc.title | A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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