Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma
Journal of Scientific Computing
Error analysis of a discontinuous Galerkin method for Maxwell equations in dispersive media
Journal of Computational Physics
Superconvergence of mixed finite element approximations to 3-D Maxwell's equations in metamaterials
Journal of Computational Physics
Recent advances in time-domain maxwell’s equations in metamaterials
HPCA'09 Proceedings of the Second international conference on High Performance Computing and Applications
Numerical Study of the Plasma-Lorentz Model in Metamaterials
Journal of Scientific Computing
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In this paper, we develop both semi-discrete and fully-discrete mixed finite element methods for modeling wave propagation in three-dimensional double negative metamaterials. Here the model is formed as a time-dependent linear system involving four dependent vector variables: the electric and magnetic fields, and the induced electric and magnetic currents. Optimal error estimates for all four variables are proved for Nédélec tetrahedral elements. To our best knowledge, this is the first error analysis obtained for Maxwell's equations when metamaterials are involved.