Superconvergence analysis for Maxwell's equations in dispersive media

نویسندگان

  • Qun Lin
  • Jichun Li
چکیده

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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عنوان ژورنال:
  • Math. Comput.

دوره 77  شماره 

صفحات  -

تاریخ انتشار 2008