stabilityandsuperconvergenceanalysisofthefdtdschemeforthe2dmaxwellequationsinalossymedium

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	stabilityandsuperconvergenceanalysisofthefdtdschemeforthe2dmaxwellequationsinalossymedium
	Gao Liping 1; Zhang Bo2
	2011
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	54 期号:12 页码:2693
摘要	This paper is concerned with the stability and superconvergence analysis of the famous finite-difference time-domain (FDTD) scheme for the 2D Maxwell equations in a lossy medium with a perfectly electric conducting (PEC) boundary condition, employing the energy method. To this end, we first establish some new energy identities for the 2D Maxwell equations in a lossy medium with a PEC boundary condition. Then by making use of these energy identities, it is proved that the FDTD scheme and its time difference scheme are stable in the discrete L~2 and H~1 norms when the CFL condition is satisfied. It is shown further that the solution to both the FDTD scheme and its time difference scheme is second-order convergent in both space and time in the discrete L~2 and H~1 norms under a slightly stricter condition than the CFL condition. This means that the solution to the FDTD scheme is superconvergent. Numerical results are also provided to confirm the theoretical analysis.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/45478
专题	应用数学研究所
作者单位	1.中国石油大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Gao Liping,Zhang Bo. stabilityandsuperconvergenceanalysisofthefdtdschemeforthe2dmaxwellequationsinalossymedium[J]. sciencechinamathematics,2011,54(12):2693.
APA	Gao Liping,&Zhang Bo.(2011).stabilityandsuperconvergenceanalysisofthefdtdschemeforthe2dmaxwellequationsinalossymedium.sciencechinamathematics,54(12),2693.
MLA	Gao Liping,et al."stabilityandsuperconvergenceanalysisofthefdtdschemeforthe2dmaxwellequationsinalossymedium".sciencechinamathematics 54.12(2011):2693.