Error estimates for space-time discretization of parabolic time-optimal control problems with bang-bang controls
Optimization and Control
2018-09-19 v2 Numerical Analysis
Abstract
In this paper a priori error estimates are derived for full discretization (in space and time) of time-optimal control problems. Various convergence results for the optimal time and the control variable are proved under different assumptions. Especially the case of bang-bang controls is investigated. Numerical examples are provided to illustrate the results.
Cite
@article{arxiv.1809.04886,
title = {Error estimates for space-time discretization of parabolic time-optimal control problems with bang-bang controls},
author = {Lucas Bonifacius and Konstantin Pieper and Boris Vexler},
journal= {arXiv preprint arXiv:1809.04886},
year = {2018}
}