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Optimal control of Allen-Cahn systems

URN to cite this document:
urn:nbn:de:bvb:355-epub-297716
Blank, Luise ; Farshbaf-Shaker, Hassan ; Hecht, Claudia ; Michl, Josef ; Rupprecht, Christoph
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Date of publication of this fulltext: 07 Apr 2014 10:21


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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