Wachsmuth, Daniel2021-12-172021-12-172003-12-172197-8085https://depositonce.tu-berlin.de/handle/11303/15480http://dx.doi.org/10.14279/depositonce-14253A 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.en510 Mathematikoptimal boundary controlparabolic equationcontrol constraintsinstantaneous controlreceding horizonResearch Paper