Optimal control of Allen-Cahn systems
Optimization and Control
2013-12-10 v1
Abstract
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.
Cite
@article{arxiv.1312.2351,
title = {Optimal control of Allen-Cahn systems},
author = {Luise Blank and M. Hassan Farshbaf-Shaker and Claudia Hecht and Josef Michl and Christoph Rupprecht},
journal= {arXiv preprint arXiv:1312.2351},
year = {2013}
}