A penalty approach to optimal control of Allen-Cahn variational inequalities: MPEC-view

Farshbaf-Shaker, Hassan (2011) A penalty approach to optimal control of Allen-Cahn variational inequalities: MPEC-view. Preprintreihe der Fakultät Mathematik 6/2011, Working Paper. (Unpublished)

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Abstract

A scalar Allen-Cahn-MPEC problem is considered and a penalization technique is applied to show the existence of an optimal control. We show that the stationary points of the penalized problems converge to weak stationary points of the limit problem.

Item Type:Monograph (Working Paper)
Institutions: Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
34G25MSC
35K86MSC
35R35MSC
49J20MSC
65K10MSC
Keywords:Allen-Cahn system, parabolic obstacle problems, MPECs, mathematical programs with complementarity constraints, optimality conditions.
Subjects:500 Science > 510 Mathematics
Status:Unpublished
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Owner:Universitätsbibliothek Regensburg
Deposited On:18 Apr 2011 08:57
Last Modified:21 Jul 2011 04:11
Item ID:20508
Owner Only: item control page