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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:0297-zib-10714
  • We study the optimal control of a maximum-norm objective functional subject 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
Document Type:ZIB-Report
MSC-Classification:49-XX CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] / 49Mxx Numerical methods [See also 90Cxx, 65Kxx] / 49M30 Other methods
Date of first Publication:2008/03/26
Series (Serial Number):ZIB-Report (08-17)
ISSN:1438-0064
ZIB-Reportnumber:08-17
Published in:Appeared under the title "The Minimization of a maximum-norm functional subject to an elliptic PDE and state constraints" in: Z. angew. Math. Mech., 89(7): 536-551, 2009
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