JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (9): 96-110.doi: 10.6040/j.issn.1671-9352.0.2020.458

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Maximum norm error estimate and extrapolation of the ADI-FDTD scheme for plasma model

LI Wei-zhi, LI Wan-shan*, LI Jian-liang   

  1. School of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
  • Published:2021-09-13

Abstract: The ADI-FDTD scheme for solving the two-dimensional Maxwells equations in plasma media is proposed under periodical boundary conditions. A prior estimate of the proposed scheme is given by using the discrete energy method, and it is proved that the scheme is of second-order accuracy both in time and space in the sense of the maximum norm. In order to improve the accuracy of the numerical results, Richardson extrapolation is applied to the proposed ADI-FDTD scheme by using the asymptotic expansion of the truncation error, and we obtain the algorithm having fourth-order accuracy both in time and space. Finally, the theoretical results are verified by numerical experiments.

Key words: plasma model, ADI-FDTD, prior estimate, maximum norm error estimate, extrapolation

CLC Number: 

  • O241.82
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