A priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems
Optimization and Control
2018-09-14 v2 Numerical Analysis
Abstract
Space-time finite element discretizations of time-optimal control problems governed by linear parabolic PDEs and subject to pointwise control constraints are considered. Optimal a priori error estimates are obtained for the control variable based on a second order sufficient optimality condition.
Cite
@article{arxiv.1802.00611,
title = {A priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems},
author = {Lucas Bonifacius and Konstantin Pieper and Boris Vexler},
journal= {arXiv preprint arXiv:1802.00611},
year = {2018}
}