A priori stopping rule for an iterative Bregman method for optimal control problems
Optimization and Control
2016-08-25 v1
Abstract
In this article we continue our investigation of the iterative regularization method for optimization problems based on Bregman distances. The optimization problems are subject to pointwise inequality constraints in . We provide an estimate for the noise error for perturbed data, which can be used to construct an a priori stopping rule. Furthermore we show how to implement our method with a semi-smooth Newton method using finite elements and present numerical results for the stopping rule.
Cite
@article{arxiv.1608.06771,
title = {A priori stopping rule for an iterative Bregman method for optimal control problems},
author = {Frank Pörner},
journal= {arXiv preprint arXiv:1608.06771},
year = {2016}
}