In this paper, we develop an interior penalty discontinuous Galerkin (DG) method for the time-dependent Maxwell's equations in cold plasma. Both semi and fully discrete DG schemes are constructed, and optimal error estimates in the energy norm are proved. To our best knowledge, this is the first error analysis carried out for the DG method for Maxwell's equations in dispersive media.
机构:
Tata Inst Fundamental Res, Ctr Applicable Math, POB 6503,GKVK Post Off, Bangalore 560065, Karnataka, IndiaTata Inst Fundamental Res, Ctr Applicable Math, POB 6503,GKVK Post Off, Bangalore 560065, Karnataka, India
机构:
Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China
Hong Kong Polytech Univ, Shenzhen Res Inst, Shenzhen 518057, Peoples R ChinaXiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China