Error estimates for the approximation of multibang control problems
Optimization and Control
2019-01-14 v2 Numerical Analysis
Abstract
This work is concerned with optimal control problems where the objective functional consists of a tracking-type functional and an additional "multibang" regularization functional that promotes optimal control taking values from a given discrete set pointwise almost everywhere. Under a regularity condition on the set where these discrete values are attained, error estimates for the Moreau--Yosida approximation (which allows its solution by a semismooth Newton method) and the discretization of the problem are derived. Numerical results support the theoretical findings.
Cite
@article{arxiv.1803.04298,
title = {Error estimates for the approximation of multibang control problems},
author = {Christian Clason and Thi Bich Tram Do and Frank Pörner},
journal= {arXiv preprint arXiv:1803.04298},
year = {2019}
}