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A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints

Please always quote using this URN:urn:nbn:de:0296-matheon-3734
  • A Lavrentiev type regularization technique for solving elliptic boundary control problems with pointwise state constraints is considered. The main concept behind this regularization is to look for controls in the range of the adjoint control-to-state mapping. After investigating the analysis of the method, a semismooth Newton method based on the optimality conditions is presented. The theoretical results are confirmed by numerical tests. Moreover, they are validated by comparing the regularization technique with standard numerical codes based on the discretize-then-optimize concept.

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Metadaten
Author:Fredi Tröltzsch, Irwin Yousept
URN:urn:nbn:de:0296-matheon-3734
Referee:Jürgen Sprekels
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2007/11/06
Release Date:2007/05/25
Tag:
Institute:Technische Universität Berlin
Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
Preprint Number:389
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