Mathematics of Computation

Author(s): Qun Lin; Jichun Li.
Journal: Math. Comp. 77 (2008), 757-771.
MSC (2000): Primary 65N30, 35L15, 78Mxx
Posted: November 13, 2007
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Abstract: In this paper, we consider the time dependent Maxwell's equations in dispersive media on a bounded three-dimensional domain. Global superconvergence is obtained for semi-discrete mixed finite element methods for three most popular dispersive media models: the isotropic cold plasma, the one-pole Debye medium, and the two-pole Lorentz medium. Global superconvergence for a standard finite element method is also presented. To our best knowledge, this is the first superconvergence analysis obtained for Maxwell's equations when dispersive media are involved.

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Retrieve articles in Mathematics of Computation with MSC (2000): 65N30, 35L15, 78Mxx

Qun Lin
Affiliation: LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China
Email: linq@lsec.cc.ac.cn

Jichun Li
Affiliation: Department of Mathematical Sciences, University of Nevada, Las Vegas, 4505 Maryland Parkway, Box 454020, Las Vegas, Nevada 89154-4020
Email: jichun@unlv.nevada.edu

DOI: 10.1090/S0025-5718-07-02039-X
PII: S 0025-5718(07)02039-X
Keywords: Maxwell's equations, dispersive media, superconvergence analysis
Received by editor(s): May 25, 2006
Received by editor(s) in revised form: January 26, 2007
Posted: November 13, 2007
Copyright of article: Copyright 2007, American Mathematical Society

Jichun Li and Aihua Wood, Finite element analysis for wave propagation in double negative metamaterials, Journal of Scientific Computing 32 (2007), 263--286.

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