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Author: Hecht, Claudia ×

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    Optimal control of Allen-Cahn systems
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) Blank, Luise; Farshbaf-Shaker, M. Hassan; Hecht, Claudia; Michl, Josef; Rupprecht, Christoph
    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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    Optimal control of elastic vector-valued AllenCahn variational inequalities
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) Farshbaf-Shaker, Mohammad Hassan; Hecht, Claudia
    In this paper we consider a elastic vector-valued AllenCahn MPCC (Mathematical Programs with Complementarity Constraints) problem. We use a regularization approach to get the optimality system for the subproblems. By passing to the limit in the optimality conditions for the regularized subproblems, we derive certain generalized first-order necessary optimality conditions for the original problem.