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Conference Paper: Vectorial solution to double curl equation with generalized coulomb gauge for magnetostatic problems

TitleVectorial solution to double curl equation with generalized coulomb gauge for magnetostatic problems
Authors
Issue Date2015
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=7044909
Citation
The 1st IEEE International Conference on Computational Electromagnetics (ICCEM 2015), Hong Kong, 2-5 February 2015. In Conference Proceedings, 2015, p. 350-352 How to Cite?
AbstractIn this paper, a solution to the double curl equation with generalized Coulomb gauge is proposed based on the vectorial representation of the magnetic vector potential. Coulomb gauge is applied to remove the null space of the curl operator and hence the uniqueness of the solution is guaranteed. However, as the divergence operator cannot act on the curl-conforming edge basis functions directly, the magnetic vector potential is used to be represented by nodal finite elements. Inspired by the mapping of Whitney forms by mathematical operators and Hodge operators, the divergence of the magnetic vector potential, as a whole, can be approximated by scalar basis functions. Hence, the magnetic vector potential can be expanded by vector basis functions, and the original equation can be rewritten in a generalized form and solved in a more natural and accurate way.
Persistent Identifierhttp://hdl.handle.net/10722/217373
ISBN

 

DC FieldValueLanguage
dc.contributor.authorLi, Y-
dc.contributor.authorSun, S-
dc.contributor.authorDai, QI-
dc.contributor.authorChew, WC-
dc.date.accessioned2015-09-18T05:57:46Z-
dc.date.available2015-09-18T05:57:46Z-
dc.date.issued2015-
dc.identifier.citationThe 1st IEEE International Conference on Computational Electromagnetics (ICCEM 2015), Hong Kong, 2-5 February 2015. In Conference Proceedings, 2015, p. 350-352-
dc.identifier.isbn978-1-4799-6281-5-
dc.identifier.urihttp://hdl.handle.net/10722/217373-
dc.description.abstractIn this paper, a solution to the double curl equation with generalized Coulomb gauge is proposed based on the vectorial representation of the magnetic vector potential. Coulomb gauge is applied to remove the null space of the curl operator and hence the uniqueness of the solution is guaranteed. However, as the divergence operator cannot act on the curl-conforming edge basis functions directly, the magnetic vector potential is used to be represented by nodal finite elements. Inspired by the mapping of Whitney forms by mathematical operators and Hodge operators, the divergence of the magnetic vector potential, as a whole, can be approximated by scalar basis functions. Hence, the magnetic vector potential can be expanded by vector basis functions, and the original equation can be rewritten in a generalized form and solved in a more natural and accurate way.-
dc.languageeng-
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=7044909-
dc.relation.ispartofIEEE International Conference on Computational Electromagnetics (ICCEM)-
dc.rightsIEEE International Conference on Computational Electromagnetics (ICCEM). Copyright © IEEE.-
dc.rights©2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.-
dc.titleVectorial solution to double curl equation with generalized coulomb gauge for magnetostatic problems-
dc.typeConference_Paper-
dc.identifier.emailSun, S: sunsheng@hku.hk-
dc.identifier.emailChew, WC: wcchew@hkucc.hku.hk-
dc.identifier.authoritySun, S=rp01431-
dc.identifier.authorityChew, WC=rp00656-
dc.description.naturelink_to_OA_fulltext-
dc.identifier.doi10.1109/COMPEM.2015.7052658-
dc.identifier.hkuros254187-
dc.identifier.spage350-
dc.identifier.epage352-
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 151119-

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