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On convergence of an instantaneous control type method for parabolic boundary control.

Tröltzsch, Fredi; Wachsmuth, Daniel

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

A method of instantaneous control type is considered for a simplified linear-quadratic parabolic boundary control problem with bound constraints on the control. The performance of the method is examined numerically and confirmed by an associated analysis. In particular, the method is shown to converge to a unique fixed point. In the same way, the receding horizon technique is investigated, and a new hybrid method is suggested.