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stabilityandsuperconvergenceanalysisofthefdtdschemeforthe2dmaxwellequationsinalossymedium
Gao Liping1; Zhang Bo2
2011
Source Publicationsciencechinamathematics
ISSN1674-7283
Volume54Issue:12Pages:2693
AbstractThis 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.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/45478
Collection应用数学研究所
Affiliation1.中国石油大学
2.中国科学院数学与系统科学研究院
Recommended Citation
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.
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