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arXiv · 1802.00611

A priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems

Lucas Bonifacius·Konstantin Pieper·Boris Vexler
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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.

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Lucas Bonifacius, Konstantin Pieper, Boris Vexler. 2018-02-02. A priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems. https://arxiv.org/abs/1802.00611

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