数学物理学报（英文版）
數學物理學報（英文版）
수학물이학보（영문판）
ACTA MATHEMATICA SCIENTIA
2014年
5期
1357-1376
,共20页
汪波%谢资清%张智民%Zhimin ZHANG
汪波%謝資清%張智民%Zhimin ZHANG
왕파%사자청%장지민%Zhimin ZHANG
Maxwell equations%dispersive media%space-time DG method%L2-stability%L2-error estimate
In this paper, a unified model for time-dependent Maxwell equations in dispersive media is considered. The space-time DG method developed in [29] is applied to solve the un-derlying problem. Unconditional L2-stability and error estimate of order O?τr+1+hk+1/2? are obtained when polynomials of degree at most r and k are used for the temporal dis-cretization and spatial discretization respectively. 2-D and 3-D numerical examples are given to validate the theoretical results. Moreover, numerical results show an ultra-convergence of order 2r+1 in temporal variable t.
