Optimal control of Allen-Cahn systems
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1906 | |
| dc.contributor.author | Blank, Luise | |
| dc.contributor.author | Farshbaf-Shaker, M. Hassan | |
| dc.contributor.author | Hecht, Claudia | |
| dc.contributor.author | Michl, Josef | |
| dc.contributor.author | Rupprecht, Christoph | |
| dc.date.accessioned | 2016-03-24T17:37:14Z | |
| dc.date.available | 2019-06-28T08:15:40Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | Optimization problems governed by Allen-Cahn systems including elastic effects are formulated and first-order necessary optimality conditions are presented. Smooth as well as obstacle potentials are considered, where the latter leads to an MPEC. Numerically, for smooth potential the problem is solved efficiently by the Trust-Region-Newton-Steihaug-cg method. In case of an obstacle potential first numerical results are presented. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/2932 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3035 | |
| 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 | Allen-Cahn system | eng |
| dc.subject.other | parabolic obstacle problems | eng |
| dc.subject.other | linear elasticity | eng |
| dc.subject.other | mathematical programs with complementarity constraints | eng |
| dc.subject.other | optimality conditions | eng |
| dc.subject.other | Trust-Region-Newton method | eng |
| dc.title | Optimal control of Allen-Cahn systems | 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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