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On instantaneous control for a nonlinear parabolic boundary control problem
Wachsmuth, Daniel
Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
A method of instantaneous control type is considered for a nonlinear parabolic boundary control problem with box constraints on the control. It is shown that the method exhibits fixed points. In numerical examples, convergence towards a fixed point occurs, which is not the best possible one. Consequently, a new hybrid method is suggested, which behaves essentially better as the standard method.
