The minimization of an L^{\infty}-functional subject to an elliptic PDE and state constraints
Please always quote using this URN:urn:nbn:de:0296-matheon-5169
- 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 L^{\infty}-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.
Author: | Uwe Prüfert, Anton Schiela |
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URN: | urn:nbn:de:0296-matheon-5169 |
Referee: | Fredi Tröltzsch |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2008/01/10 |
Release Date: | 2008/04/06 |
Tag: | |
Institute: | Technische Universität Berlin |
Zuse Institute Berlin (ZIB) | |
Preprint Number: | 522 |