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Prüfert, Uwe ; Schiela, Anton:
The minimization of a maximum-norm functional subject to an elliptic PDE and state constraints.
In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik.
Bd. 89
(2009)
Heft 7
.
- S. 536-551.
ISSN 1521-4001
DOI: https://doi.org/10.1002/zamm.200800097
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| Projekttitel: |
Offizieller Projekttitel Projekt-ID DFG Research Center Matheon "Mathematics for key technologies" FZT 86 |
|---|---|
| Projektfinanzierung: |
Deutsche Forschungsgemeinschaft |
Abstract
We study the optimal control of a maximum-norm objective functional subjected to an elliptic-type PDE and pointwise state constraints. The problem is transformed into a problem where the non-differentiable maximum-norm in the functional will be replaced by a scalar variable and additional state constraints. This problem is solved by barrier methods. We will show the existence and convergence of the central path for a class of barrier functions. Numerical experiments complete the presentation.