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Optimal control of Allen-Cahn systems
Blank, Luise, Farshbaf-Shaker, Hassan, Hecht, Claudia, Michl, Josef and Rupprecht, Christoph (2013) Optimal control of Allen-Cahn systems. Preprintreihe der Fakultät Mathematik 21/2013, Working Paper.Date of publication of this fulltext: 07 Apr 2014 10:21
Monograph
DOI to cite this document: 10.5283/epub.29771
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.
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Details
| Item type | Monograph (Working Paper) | ||||||||||||
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Volume: | 21/2013 | ||||||||||||
| Date | 2013 | ||||||||||||
| Institutions | Mathematics > Prof. Dr. Harald Garcke | ||||||||||||
| Classification |
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| Keywords | Allen-Cahn system, parabolic obstacle problems, linear elas- ticity, mathematical programs with complementarity constraints, opti- mality conditions, Trust-Region-Newton method | ||||||||||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||||||||||
| Status | Unknown | ||||||||||||
| Refereed | No, this version has not been refereed yet (as with preprints) | ||||||||||||
| Created at the University of Regensburg | Yes | ||||||||||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-297716 | ||||||||||||
| Item ID | 29771 |
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