Optimal control of Allen-Cahn systems

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 solve...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2013-12
Main Authors: Blank, Luise, M Hassan Farshbaf-Shaker, Hecht, Claudia, Michl, Josef, Rupprecht, Christoph
Format: Article
Language:English
Subjects:
Optimal control
Optimization
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422