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https://doi.org/10.21256/zhaw-4781| Publikationstyp: | Beitrag in wissenschaftlicher Zeitschrift |
| Art der Begutachtung: | Peer review (Publikation) |
| Titel: | On two optimal control problems for magnetic fields |
| Autor/-in: | Nicaise, Serge Stingelin, Simon Tröltzsch, Fredi |
| DOI: | 10.21256/zhaw-4781 10.1515/cmam-2014-0022 |
| Erschienen in: | Computational Methods in Applied Mathematics |
| Band(Heft): | 14 |
| Heft: | 4 |
| Seite(n): | 555 |
| Seiten bis: | 573 |
| Erscheinungsdatum: | 2014 |
| Verlag / Hrsg. Institution: | De Gruyter |
| ISSN: | 1609-4840 1609-9389 |
| Sprache: | Englisch |
| Schlagwörter: | Evolution Maxwell Equations; Proper orthogonal decomposition; Numerical solution; Adjoint equation; Model reduction; Optimal control; Degenerate parabolic equation; Vector potential formulation; Induction law |
| Fachgebiet (DDC): | 510: Mathematik |
| Zusammenfassung: | Two optimal control problems for instationary magnetization processes are considered in 3D spatial domains that include electrically conducting and non-conducting regions. The magnetic fields are generated by induction coils. In the first model, the induction coil is considered as part of the conducting region and the electrical current is taken as control. In the second, the coil is viewed as part of the non-conducting region and the electrical voltage is the control. Here, an integro-differential equation accounts for the magnetic induction law that couples the given electrical voltage with the induced electrical current in the induction coil. We derive first-order necessary optimality conditions for the optimal controls of both problems. Based on them, numerical methods of gradient type are applied. Moreover, we report on the application of model reduction by POD that lead to tremendous savings. Numerical tests are presented for academic 3D geometries but also for a real-world application. |
| Weitere Angaben: | Erworben im Rahmen der Schweizer Nationallizenzen (http://www.nationallizenzen.ch) |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/15840 |
| Volltext Version: | Publizierte Version |
| Lizenz (gemäss Verlagsvertrag): | Lizenz gemäss Verlagsvertrag |
| Departement: | School of Engineering |
| Organisationseinheit: | Institut für Angewandte Mathematik und Physik (IAMP) |
| Enthalten in den Sammlungen: | Publikationen School of Engineering |
Dateien zu dieser Ressource:
| Datei | Beschreibung | Größe | Format | |
|---|---|---|---|---|
| 2014_Nicaise_On_two_optimal_control_problems_for_magnetic_fields.pdf | 1.48 MB | Adobe PDF |  Öffnen/Anzeigen |
Zur Langanzeige
Nicaise, S., Stingelin, S., & Tröltzsch, F. (2014). On two optimal control problems for magnetic fields. Computational Methods in Applied Mathematics, 14(4), 555–573. https://doi.org/10.21256/zhaw-4781
Nicaise, S., Stingelin, S. and Tröltzsch, F. (2014) ‘On two optimal control problems for magnetic fields’, Computational Methods in Applied Mathematics, 14(4), pp. 555–573. Available at: https://doi.org/10.21256/zhaw-4781.
S. Nicaise, S. Stingelin, and F. Tröltzsch, “On two optimal control problems for magnetic fields,” Computational Methods in Applied Mathematics, vol. 14, no. 4, pp. 555–573, 2014, doi: 10.21256/zhaw-4781.
NICAISE, Serge, Simon STINGELIN und Fredi TRÖLTZSCH, 2014. On two optimal control problems for magnetic fields. Computational Methods in Applied Mathematics. 2014. Bd. 14, Nr. 4, S. 555–573. DOI 10.21256/zhaw-4781
Nicaise, Serge, Simon Stingelin, and Fredi Tröltzsch. 2014. “On Two Optimal Control Problems for Magnetic Fields.” Computational Methods in Applied Mathematics 14 (4): 555–73. https://doi.org/10.21256/zhaw-4781.
Nicaise, Serge, et al. “On Two Optimal Control Problems for Magnetic Fields.” Computational Methods in Applied Mathematics, vol. 14, no. 4, 2014, pp. 555–73, https://doi.org/10.21256/zhaw-4781.
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