Title
Superconvergence analysis for Maxwell's equations in dispersive media
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.
Year
DOI
Venue
2008
10.1090/S0025-5718-07-02039-X
MATHEMATICS OF COMPUTATION
Keywords
Field
DocType
Maxwell's equations,dispersive media,superconvergence analysis
Isotropy,Debye,Mathematical analysis,Superconvergence,Finite element method,Lorentz transformation,Numerical analysis,Mathematics,Maxwell's equations,Bounded function
Journal
Volume
Issue
ISSN
77
262
0025-5718
Citations 
PageRank 
References 
11
1.19
6
Authors
2
Name
Order
Citations
PageRank
Qun Lin17814.23
Jichun Li229144.32