A negative-norm least-squares method for time-harmonic Maxwell equations
Type
ArticleAuthors
Copeland, Dylan M.KAUST Grant Number
KUS-C1-016-04Date
2012-04Permanent link to this record
http://hdl.handle.net/10754/597332
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This 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.Citation
Copeland 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.Sponsors
The 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).Publisher
Elsevier BVae974a485f413a2113503eed53cd6c53
10.1016/j.jmaa.2011.09.004