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Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-4781
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dc.contributor.authorNicaise, Serge-
dc.contributor.authorStingelin, Simon-
dc.contributor.authorTröltzsch, Fredi-
dc.date.accessioned2019-03-06T15:39:25Z-
dc.date.available2019-03-06T15:39:25Z-
dc.date.issued2014-
dc.identifier.issn1609-4840de_CH
dc.identifier.issn1609-9389de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/15840-
dc.descriptionErworben im Rahmen der Schweizer Nationallizenzen (http://www.nationallizenzen.ch)de_CH
dc.description.abstractTwo 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.de_CH
dc.language.isoende_CH
dc.publisherDe Gruyterde_CH
dc.relation.ispartofComputational Methods in Applied Mathematicsde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectEvolution Maxwell Equationsde_CH
dc.subjectProper orthogonal decompositionde_CH
dc.subjectNumerical solutionde_CH
dc.subjectAdjoint equationde_CH
dc.subjectModel reductionde_CH
dc.subjectOptimal controlde_CH
dc.subjectDegenerate parabolic equationde_CH
dc.subjectVector potential formulationde_CH
dc.subjectInduction lawde_CH
dc.subject.ddc510: Mathematikde_CH
dc.titleOn two optimal control problems for magnetic fieldsde_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
zhaw.organisationalunitInstitut für Angewandte Mathematik und Physik (IAMP)de_CH
dc.identifier.doi10.21256/zhaw-4781-
dc.identifier.doi10.1515/cmam-2014-0022de_CH
zhaw.funding.euNode_CH
zhaw.issue4de_CH
zhaw.originated.zhawYesde_CH
zhaw.pages.end573de_CH
zhaw.pages.start555de_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume14de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
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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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