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Article: Frequency-domain and time-domain finite-element solution of Maxwell's equations using spectral Lanczos decomposition method

TitleFrequency-domain and time-domain finite-element solution of Maxwell's equations using spectral Lanczos decomposition method
Authors
Issue Date1999
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cma
Citation
Computer Methods In Applied Mechanics And Engineering, 1999, v. 169 n. 3-4, p. 279-296 How to Cite?
AbstractAn efficient solver is described for the solution of the electromagnetic fields in both time and frequency domains. The proposed method employs the node-based and the edge-based finite-element method (FEM) to discretize Maxwell's equations. The resultant matrix equation is solved by the spectral Lanczos decomposition method (SLDM), which is based on the Krylov subspace (Lanczos) approximation of the solution. First, a new explicit axisymmetric solver for the diffusion of electromagnetic fields in an inhomogeneous medium is introduced. The procedure is then extended to treat the three-dimensional problems in the low frequency regime. Finally, Maxwell's equations, in their general form, are solved in frequency and time domains. Depending on the application, our method requires the implementation of the Lanczos process only at the largest or smallest time or frequency of interest. Consequently, a multiple time and frequency domain analysis of the electromagnetic fields is achieved in a negligible amount of extra computing time. The efficiency and effectiveness of this new technique are illustrated by using various practical numerical examples. © 1999 Elsevier Science S.A. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/182613
ISSN
2015 Impact Factor: 3.467
2015 SCImago Journal Rankings: 2.952
References

 

DC FieldValueLanguage
dc.contributor.authorJin, JMen_US
dc.contributor.authorZunoubi, Men_US
dc.contributor.authorDonepudi, KCen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:07Z-
dc.date.available2013-05-02T05:16:07Z-
dc.date.issued1999en_US
dc.identifier.citationComputer Methods In Applied Mechanics And Engineering, 1999, v. 169 n. 3-4, p. 279-296en_US
dc.identifier.issn0045-7825en_US
dc.identifier.urihttp://hdl.handle.net/10722/182613-
dc.description.abstractAn efficient solver is described for the solution of the electromagnetic fields in both time and frequency domains. The proposed method employs the node-based and the edge-based finite-element method (FEM) to discretize Maxwell's equations. The resultant matrix equation is solved by the spectral Lanczos decomposition method (SLDM), which is based on the Krylov subspace (Lanczos) approximation of the solution. First, a new explicit axisymmetric solver for the diffusion of electromagnetic fields in an inhomogeneous medium is introduced. The procedure is then extended to treat the three-dimensional problems in the low frequency regime. Finally, Maxwell's equations, in their general form, are solved in frequency and time domains. Depending on the application, our method requires the implementation of the Lanczos process only at the largest or smallest time or frequency of interest. Consequently, a multiple time and frequency domain analysis of the electromagnetic fields is achieved in a negligible amount of extra computing time. The efficiency and effectiveness of this new technique are illustrated by using various practical numerical examples. © 1999 Elsevier Science S.A. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cmaen_US
dc.relation.ispartofComputer Methods in Applied Mechanics and Engineeringen_US
dc.titleFrequency-domain and time-domain finite-element solution of Maxwell's equations using spectral Lanczos decomposition methoden_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0033076091en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0033076091&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume169en_US
dc.identifier.issue3-4en_US
dc.identifier.spage279en_US
dc.identifier.epage296en_US
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridJin, JM=7403588231en_US
dc.identifier.scopusauthoridZunoubi, M=6603614143en_US
dc.identifier.scopusauthoridDonepudi, KC=6603623868en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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