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dc.contributor.authorCopeland, Dylan M.
dc.date.accessioned2016-02-25T12:30:53Z
dc.date.available2016-02-25T12:30:53Z
dc.date.issued2012-04
dc.identifier.citationCopeland DM (2012) A negative-norm least-squares method for time-harmonic Maxwell equations. Journal of Mathematical Analysis and Applications 388: 303–317. Available: http://dx.doi.org/10.1016/j.jmaa.2011.09.004.
dc.identifier.issn0022-247X
dc.identifier.doi10.1016/j.jmaa.2011.09.004
dc.identifier.urihttp://hdl.handle.net/10754/597332
dc.description.abstractThis paper presents and analyzes a negative-norm least-squares finite element discretization method for the dimension-reduced time-harmonic Maxwell equations in the case of axial symmetry. The reduced equations are expressed in cylindrical coordinates, and the analysis consequently involves weighted Sobolev spaces based on the degenerate radial weighting. The main theoretical results established in this work include existence and uniqueness of the continuous and discrete formulations and error estimates for simple finite element functions. Numerical experiments confirm the error estimates and efficiency of the method for piecewise constant coefficients. © 2011 Elsevier Inc.
dc.description.sponsorshipThe author thanks Prof. Joseph E. Pasciak for helpful discussions in developing the theory for this work. This publication is based on work supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).
dc.publisherElsevier BV
dc.subjectAxisymmetry
dc.subjectFinite element
dc.subjectLeast squares
dc.subjectMaxwell equations
dc.subjectWeighted Sobolev space
dc.titleA negative-norm least-squares method for time-harmonic Maxwell equations
dc.typeArticle
dc.identifier.journalJournal of Mathematical Analysis and Applications
dc.contributor.institutionTexas A and M University, College Station, United States
kaust.grant.numberKUS-C1-016-04


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