Author(s) :
Daniel Wachsmuth
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 46-2003
MSC 2000
- 49M30 Other methods, not based on necessary conditions
-
49K20 Problems involving partial differential equations
Abstract :
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.
Keywords :
Optimal boundary control, parabolic equation, control constraints, instantaneous control, receding horizon