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Optimal PDE Control Using COMSOL Multiphysics

Please always quote using this URN:urn:nbn:de:0296-matheon-5295
  • We study an optimal control problem (OCP) subject to a PDE of elliptic type as well as state constraints. The resulting optimality system contains two PDEs, one algebraic equation and the so called complementary slackness conditions, i.e. dual products between function spaces. At this point different regularization techniques come into use. In this paper we introduce a Barrier method as one possible way to regularize state constraints, which leads to an easily implementable path-following algorithm. To illustrate this method, we solve first a constructed problem with known solution. Here, we can verify the rate of convergence of the path-following method. Second, a simplified hyperthermia problem in 3D is solved by using COMSOL Multiphysics.

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Metadaten
Author:Ira Neitzel, Uwe Prüfert, Thomas Slawig
URN:urn:nbn:de:0296-matheon-5295
Referee:Fredi Tröltzsch
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2008/01/10
Release Date:2008/01/10
Tag:
Institute:Technische Universität Berlin
Zuse Institute Berlin (ZIB)
Preprint Number:523
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