On optimal control of free boundary problems of obstacle type
Optimization and Control
2018-01-22 v1
Abstract
A numerical study of an optimal control formulation for a shape optimization problem governed by an elliptic variational inequality is performed. The shape optimization problem is reformulated as a boundary control problem in a fixed domain. The discretized optimal control problem is a non-smooth and non-convex mathematical programing problem. The performance of the standard BFGS quasi-Newton method and the BFGS method with the inexact line search are tested.
Keywords
Cite
@article{arxiv.1801.06379,
title = {On optimal control of free boundary problems of obstacle type},
author = {Raino A. E. Mäkinen},
journal= {arXiv preprint arXiv:1801.06379},
year = {2018}
}