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arXiv · 1809.04886

Error estimates for space-time discretization of parabolic time-optimal control problems with bang-bang controls

Lucas Bonifacius·Konstantin Pieper·Boris Vexler
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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.

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Lucas Bonifacius, Konstantin Pieper, Boris Vexler. 2018-09-13. Error estimates for space-time discretization of parabolic time-optimal control problems with bang-bang controls. https://arxiv.org/abs/1809.04886

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