Abstract | ||
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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 |
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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 |