期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 200, 期 2, 页码 549-580出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2004.02.022
关键词
discontinuous Galerkin method; electromagnetic scattering; dispersive media; Riemann solver; UPML
In this paper, we will present a unified formulation of discontinuous Galerkin method (DGM) for Maxwell's equations in linear dispersive and lossy materials of Debye type and in the artificial perfectly matched layer (PML) regions. An auxiliary differential equation (ADE) method is used to handle the frequency-dependent constitutive relations with the help of auxiliary polarization currents in the computational and PML regions. The numerical flux for the dispersive lossy Maxwell's equations with the auxiliary polarization current variables is derived. Various numerical results are provided to validate the proposed formulation. (C) 2004 Elsevier Inc. All rights reserved.
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