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POD a-posteriori error estimates for linear-quadratic optimal control problems

Please always quote using this URN:urn:nbn:de:0296-matheon-4818
  • The main focus of this paper is on an a-posteriori analysis for the method of proper orthogonal decomposition (POD) applied to optimal control problems governed by parabolic and elliptic PDEs. Based on a perturbation method it is deduced how far the suboptimal control, computed on the basis of the POD model, is from the (unknown) exact one. Numerical examples illustrate the realization of the proposed approach for linear-quadratic problems governed by parabolic and elliptic partial differential equations.

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Metadaten
Author:Fredi Tröltzsch, Stefan Volkwein
URN:urn:nbn:de:0296-matheon-4818
Referee:Peter Deuflhard
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2008/10/03
Release Date:2008/10/03
Preprint Number:471
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