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

Author

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  • F. Tröltzsch
  • S. Volkwein

Abstract

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Suggested Citation

  • F. Tröltzsch & S. Volkwein, 2009. "POD a-posteriori error estimates for linear-quadratic optimal control problems," Computational Optimization and Applications, Springer, vol. 44(1), pages 83-115, October.
    • Handle: RePEc:spr:coopap:v:44:y:2009:i:1:p:83-115
    DOI: 10.1007/s10589-008-9224-3
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    Cited by:

    1. Christian Jörres & Georg Vossen & Michael Herty, 2013. "On an inexact gradient method using Proper Orthogonal Decomposition for parabolic optimal control problems," Computational Optimization and Applications, Springer, vol. 55(2), pages 459-468, June.
    2. Martin Gubisch & Stefan Volkwein, 2014. "POD a-posteriori error analysis for optimal control problems with mixed control-state constraints," Computational Optimization and Applications, Springer, vol. 58(3), pages 619-644, July.
    3. A. El Hamidi & H. Ossman & M. Jazar, 2017. "On the convergence of alternating minimization methods in variational PGD," Computational Optimization and Applications, Springer, vol. 68(2), pages 455-472, November.
    4. S. Volkwein, 2010. "Admittance Identification from Point-wise Sound Pressure Measurements Using Reduced-order Modelling," Journal of Optimization Theory and Applications, Springer, vol. 147(1), pages 169-193, October.
    5. Markus Dihlmann & Bernard Haasdonk, 2015. "Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems," Computational Optimization and Applications, Springer, vol. 60(3), pages 753-787, April.

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