Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/6033
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | - |
dc.creator | Li, J | - |
dc.creator | Huang, Y | - |
dc.creator | Lin, Y | - |
dc.date.accessioned | 2014-12-11T08:28:07Z | - |
dc.date.available | 2014-12-11T08:28:07Z | - |
dc.identifier.issn | 1064-8275 | - |
dc.identifier.uri | http://hdl.handle.net/10397/6033 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2011 Society for Industrial and Applied Mathematics | en_US |
dc.subject | Maxwell's equations | en_US |
dc.subject | Dispersive medium | en_US |
dc.subject | Cole–Cole model | en_US |
dc.subject | Finite element method | en_US |
dc.title | Developing finite element methods for maxwell's equations in a cole-cole dispersive medium | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.description.otherinformation | Author name used in this publication: Yanping Lin | en_US |
dc.identifier.spage | 3153 | - |
dc.identifier.epage | 3174 | - |
dc.identifier.volume | 33 | - |
dc.identifier.issue | 6 | - |
dc.identifier.doi | 10.1137/110827624 | - |
dcterms.abstract | In this paper, we consider the time-dependent Maxwell's equations when Cole–Cole dispersive medium is involved. The Cole–Cole model contains a fractional time derivative term, which couples with the standard Maxwell's equations in free space and creates some challenges in developing and analyzing time-domain finite element methods for solving this model as mentioned in our earlier work [J. Li, J. Sci. Comput., 47 (2001), pp. 1–26]. By adopting some techniques developed for the fractional diffusion equations [V.J. Ervin, N. Heuer, and J.P. Roop, SIAM J. Numer. Anal., 45 (2007), pp. 572–591], [Y. Lin and C. Xu, J. Comput. Phys., 225 (2007), pp. 1533–1552], [F. Liu, P. Zhuang, V. Anh, I. Turner, and K. Burrage, Appl. Math. Comput., 191 (2007), pp. 12–20], we propose two fully discrete mixed finite element schemes for the Cole–Cole model. Numerical stability and optimal error estimates are proved for both schemes. The proposed algorithms are implemented and detailed numerical results are provided to justify our theoretical analysis. | - |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on scientific computing, v. 33, no. 6, p. 3153–3174 | - |
dcterms.isPartOf | SIAM journal on scientific computing | - |
dcterms.issued | 2011 | - |
dc.identifier.isi | WOS:000298370000004 | - |
dc.identifier.scopus | 2-s2.0-84863050408 | - |
dc.identifier.eissn | 1095-7197 | - |
dc.identifier.rosgroupid | r60873 | - |
dc.description.ros | 2011-2012 > Academic research: refereed > Publication in refereed journal | - |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | OA_IR/PIRA | en_US |
dc.description.pubStatus | Published | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
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Li_Finite_Element_Dispersive.pdf | 267.06 kB | Adobe PDF | View/Open |
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