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Article: 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
KeywordsFinite element method
Generalized Coulomb gauge
Magnetostatic
Whitney forms
Issue Date2015
PublisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=20
Citation
IEEE Transactions on Magnetics, 2015, v. 51 n. 8, article no. 7002306 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. Traditional 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 edge elements (curl-conforming) directly, the magnetic vector potential is represented by nodal elements, which is too restrictive, since both the tangential continuity and the normal continuity are required. Inspired by the mapping of Whitney forms by mathematical operators and Hodge (star) operators, the divergence of the magnetic vector potential, as a whole, can be approximated by Whitney elements. Hence, the magnetic vector potential can be expanded by the edge elements, where its vectorial nature is retained and only the tangential continuity is required. Finally, the original equation can be rewritten in a generalized form and solved in a more natural and accurate way using finite-element method.
Persistent Identifierhttp://hdl.handle.net/10722/217023
ISSN
2019 Impact Factor: 1.626
2015 SCImago Journal Rankings: 0.602
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorLi, Y-
dc.contributor.authorSun, S-
dc.contributor.authorDai, QI-
dc.contributor.authorChew, WC-
dc.date.accessioned2015-09-18T05:46:18Z-
dc.date.available2015-09-18T05:46:18Z-
dc.date.issued2015-
dc.identifier.citationIEEE Transactions on Magnetics, 2015, v. 51 n. 8, article no. 7002306-
dc.identifier.issn0018-9464-
dc.identifier.urihttp://hdl.handle.net/10722/217023-
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. Traditional 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 edge elements (curl-conforming) directly, the magnetic vector potential is represented by nodal elements, which is too restrictive, since both the tangential continuity and the normal continuity are required. Inspired by the mapping of Whitney forms by mathematical operators and Hodge (star) operators, the divergence of the magnetic vector potential, as a whole, can be approximated by Whitney elements. Hence, the magnetic vector potential can be expanded by the edge elements, where its vectorial nature is retained and only the tangential continuity is required. Finally, the original equation can be rewritten in a generalized form and solved in a more natural and accurate way using finite-element method.-
dc.languageeng-
dc.publisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=20-
dc.relation.ispartofIEEE Transactions on Magnetics-
dc.rights© 2015 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See http://www.ieee.org/publications_standards/publications/rights/index.html for more information.-
dc.subjectFinite element method-
dc.subjectGeneralized Coulomb gauge-
dc.subjectMagnetostatic-
dc.subjectWhitney forms-
dc.titleVectorial solution to double curl equation with generalized coulomb gauge for magnetostatic problems-
dc.typeArticle-
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.naturepublished_or_final_version-
dc.identifier.doi10.1109/TMAG.2015.2417492-
dc.identifier.scopuseid_2-s2.0-84938304557-
dc.identifier.hkuros254183-
dc.identifier.volume51-
dc.identifier.issue8-
dc.identifier.spagearticle no. 7002306-
dc.identifier.epagearticle no. 7002306-
dc.identifier.isiWOS:000358613900011-
dc.publisher.placeUnited States-

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