Error estimates for abstract linear–quadratic optimal control problems using proper orthogonal decomposition
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| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Hinze, Michael; Volkwein, Stefan |
| Year of publication: | 2008 |
| Published in: | Computational Optimization and Applications ; 39 (2008), 3. - pp. 319-345. - ISSN 0926-6003. - eISSN 1573-2894 |
| DOI (citable link): | https://dx.doi.org/10.1007/s10589-007-9058-4 |
| Summary: |
In this paper we investigate POD discretizations of abstract linear–quadratic optimal control problems with control constraints. We apply the discrete technique developed by Hinze (Comput. Optim. Appl. 30:45–61, 2005) and prove error estimates for the corresponding discrete controls, where we combine error estimates for the state and the adjoint system from Kunisch and Volkwein (Numer. Math. 90:117–148, 2001; SIAM J. Numer. Anal. 40:492–515, 2002). Finally, we present numerical examples that illustrate the theoretical results.
|
| Subject (DDC): | 510 Mathematics |
| Keywords: | Optimal control, Evolution problems, Proper orthogonal decomposition, Error estimates |
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HINZE, Michael, Stefan VOLKWEIN, 2008. Error estimates for abstract linear–quadratic optimal control problems using proper orthogonal decomposition. In: Computational Optimization and Applications. 39(3), pp. 319-345. ISSN 0926-6003. eISSN 1573-2894. Available under: doi: 10.1007/s10589-007-9058-4
@article{Hinze2008-04Error-41197, title={Error estimates for abstract linear–quadratic optimal control problems using proper orthogonal decomposition}, year={2008}, doi={10.1007/s10589-007-9058-4}, number={3}, volume={39}, issn={0926-6003}, journal={Computational Optimization and Applications}, pages={319--345}, author={Hinze, Michael and Volkwein, Stefan} }
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