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Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems

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2016

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https://doi.org/10.1007/978-3-319-39929-4_37
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KARASÖZEN, Bülent, ed. and others. Numerical Mathematics and Advanced Applications : ENUMATH 2015. Cham: Springer, 2016, pp. 389-397. Lecture Notes in Computational Science and Engineering. 112. ISSN 1439-7358. eISSN 2197-7100. ISBN 978-3-319-39927-0. Available under: doi: 10.1007/978-3-319-39929-4_37

Zusammenfassung

In this paper a reduced-order strategy is applied to solve a multiobjective optimal control problem governed by semilinear parabolic partial differential equations. These problems often arise in practical applications, where the quality of the system behaviour has to be measured by more than one criterium. The weighted sum method is exploited for defining scalar-valued nonlinear optimal control problems built by introducing additional optimization parameters. The optimal controls corresponding to specific choices of the optimization parameters are efficiently computed by the reduced-basis method. The accuracy is guaranteed by an a-posteriori error estimate.

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510 Mathematik

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ENUMATH 2015, 14. Sept. 2015 - 18. Sept. 2015, Ankara
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ISO 690IAPICHINO, Laura, Stefan TRENZ, Stefan VOLKWEIN, 2016. Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems. ENUMATH 2015. Ankara, 14. Sept. 2015 - 18. Sept. 2015. In: KARASÖZEN, Bülent, ed. and others. Numerical Mathematics and Advanced Applications : ENUMATH 2015. Cham: Springer, 2016, pp. 389-397. Lecture Notes in Computational Science and Engineering. 112. ISSN 1439-7358. eISSN 2197-7100. ISBN 978-3-319-39927-0. Available under: doi: 10.1007/978-3-319-39929-4_37
BibTex
@inproceedings{Iapichino2016-11-11Reduc-38741,
  year={2016},
  doi={10.1007/978-3-319-39929-4_37},
  title={Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems},
  number={112},
  isbn={978-3-319-39927-0},
  issn={1439-7358},
  publisher={Springer},
  address={Cham},
  series={Lecture Notes in Computational Science and Engineering},
  booktitle={Numerical Mathematics and Advanced Applications : ENUMATH 2015},
  pages={389--397},
  editor={Karasözen, Bülent},
  author={Iapichino, Laura and Trenz, Stefan and Volkwein, Stefan}
}
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