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Superlinear convergence of the Control Reduced Interior Point Method for PDE Constrained Optimization

Please always quote using this URN:urn:nbn:de:0296-matheon-2424
  • A thorough convergence analysis of the Control Reduced Interior Point Method in function space is performed. This recently proposed method is a primal interior point pathfollowing scheme with the special feature, that the control variable is eliminated from the optimality system. Apart from global linear convergence we show, that this method converges locally almost quadratically, if the optimal solution satisfies a certain non-degeneracy condition. In numerical experiments we observe, that a prototype implementation of our method behaves as predicted by our theoretical results.

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Metadaten
Author:Anton Schiela, Martin Weiser
URN:urn:nbn:de:0296-matheon-2424
Referee:Fredi Tröltzsch
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2005/04/14
Release Date:2005/03/31
Institute:Technische Universität Berlin
Zuse Institute Berlin (ZIB)
Preprint Number:235
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