Functional a posteriori error estimates for time-periodic parabolic optimal control problems
Optimization and Control
2015-11-19 v1 Numerical Analysis
Abstract
This paper is devoted to the a posteriori error analysis of multiharmonic finite element approximations to distributed optimal control problems with time-periodic state equations of parabolic type. We derive a posteriori estimates of functional type, which are easily computable and provide guaranteed upper bounds for the state and co-state errors as well as for the cost functional. These theoretical results are confirmed by several numerical tests that show high efficiency of the a posteriori error bounds.
Cite
@article{arxiv.1511.05699,
title = {Functional a posteriori error estimates for time-periodic parabolic optimal control problems},
author = {Ulrich Langer and Sergey Repin and Monika Wolfmayr},
journal= {arXiv preprint arXiv:1511.05699},
year = {2015}
}