Farshbaf-Shaker, Hassan (2011) A relaxation approach to vector-valued Allen-Cahn MPEC problems. Preprintreihe der Fakultät Mathematik 27/2011, Working Paper.
In this paper we consider a vector-valued Allen-Cahn MPEC problem.
To derive optimality conditions we exploit a regularization-relaxation
technique. The optimality system of the regularized-relaxed subproblems
are investigated by applying the classical result of Zowe and Kurcyusz.
Finally we show that the stationary points of the regularizedrelaxed
subproblems converge to weak stationary points of the limit
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|Item Type:||Monograph (Working Paper)|
|Institutions:||Mathematics > Prof. Dr. Harald Garcke|
|Keywords:||Vector-valued Allen-Cahn system, parabolic bi-obstacle problems, MPECs, mathematical programs with complementarity constraints, optimality conditions.|
|Subjects:||500 Science > 510 Mathematics|
|Refereed:||No, this version has not been refereed yet (as with preprints)|
|Created at the University of Regensburg:||Yes|
|Deposited On:||07 Sep 2011 06:05|
|Last Modified:||13 Mar 2014 17:56|