## Title data

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.
Vol. 89
(2009)
Issue 7
.
- pp. 536-551.

ISSN 1521-4001

DOI: https://doi.org/10.1002/zamm.200800097

Review: |

## Related URLs

## Project information

Project title: |
Project's official title Project's id DFG Research Center Matheon "Mathematics for key technologies" FZT 86 |
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Project financing: |
Deutsche Forschungsgemeinschaft |

## Abstract in another language

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.