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Optimal control of elastic vector-valued Allen-Cahn variational inequalities
Farshbaf-Shaker, Hassan and Hecht, Claudia (2013) Optimal control of elastic vector-valued Allen-Cahn variational inequalities. Preprintreihe der Fakultät Mathematik 16/2013, Working Paper.Date of publication of this fulltext: 14 Oct 2013 08:20
Monograph
DOI to cite this document: 10.5283/epub.28915
Abstract
In this paper we consider a elastic vector-valued Allen-Cahn 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.
Involved Institutions
Details
| Item type | Monograph (Working Paper) | ||||||||||||
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Volume: | 16/2013 | ||||||||||||
| Date | 2013 | ||||||||||||
| Institutions | Mathematics > Prof. Dr. Harald Garcke | ||||||||||||
| Classification |
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| Keywords | Vector-valued Allen-Cahn system, parabolic obstacle problems, linear elasticity, MPCCs, mathematical programs with complementarity constraints, optimality conditions | ||||||||||||
| 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-289155 | ||||||||||||
| Item ID | 28915 |
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