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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.

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Metadaten
Author:Uwe Prüfert, Anton Schiela
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
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