Title data
Prüfert, Uwe ; Schiela, Anton:
The minimization of a maximumnorm functional subject to an elliptic PDE and state constraints.
In: ZAMM : Zeitschrift für angewandte Mathematik und Mechanik.
Vol. 89
(2009)
Issue 7
.
 pp. 536551.
ISSN 15214001
DOI: https://doi.org/10.1002/zamm.200800097
Project information
Project title: 
Project's official title  Project's id 

DFG Research Center Matheon "Mathematics for key technologies"  FZT 86 

Project financing: 
Deutsche Forschungsgemeinschaft

Abstract in another language
We study the optimal control of a maximumnorm objective functional subjected to an elliptictype PDE and pointwise state constraints. The problem is transformed into a problem where the nondifferentiable maximumnorm 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.
Further data