Energy analysis of the ADI-FDTD method with fourth-order accuracy in time for Maxwell's equations-Reference-Cited by-同舟云学术

Energy analysis of the ADI-FDTD method with fourth-order accuracy in time for Maxwell's equations

Published:2023 Issue:1 Volume:8 Page:264-284
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Zhang Li¹²,Ran Maohua²³,Zhang Hanyue²

Affiliation:

1. V. C. & V. R. Key Lab of Sichuan Province, Sichuan Normal University, Chengdu 610068, China

2. School of Mathematical Science, Sichuan Normal University, Chengdu 610068, China

3. School of Mathematics, Aba Teachers University, Aba 623002, China

Abstract

<abstract><p>In this work, the ADI-FDTD method with fourth-order accuracy in time for the 2-D Maxwell's equations without sources and charges is proposed. We mainly focus on energy analysis of the proposed ADI-FDTD method. By using the energy method, we derive the numerical energy identity of the ADI-FDTD method and show that the ADI-FDTD method is approximately energy-preserving. In comparison with the energy in theory, the numerical one has two perturbation terms and can be used in computation in order to keep it approximately energy-preserving. Numerical experiments are given to show the performance of the proposed ADI-FDTD method which confirm the theoretical results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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