Numerical analysis of the direct method for 3D Maxwell's equation in Kerr-type nonlinear media

被引：1
|
作者：
Chen, Meng [1 ,2 ]
Gao, Rong [3 ]
He, Yan [1 ,2 ]
Kong, Linghua [1 ,2 ]
机构：
[1] Jiangxi Normal Univ, Jiangxi Prov Ctr Appl Math, Nanchang 330022, Jiangxi, Peoples R China
[2] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R China
[3] Jiangxi Vocat Coll Finance & Econ, Sch Basic Educ, Jiujiang 332000, Jiangxi, Peoples R China
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 2023年 / 49卷 / 03期
基金：
中国国家自然科学基金;
关键词：
3D Maxwell's equations; Kerr medium; Nonlinear media; The direct method; FDTD SCHEME; CONVERGENCE ANALYSIS; HELMHOLTZ-EQUATION; YEE SCHEME; PROPAGATION; MODELS; GRIDS;
D O I：
10.1007/s10444-023-10029-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, a so-called direct method has been developed for solving 2D Maxwell's equations in Kerr-type nonlinear media. This method is free of iteration error and more efficient than classical iterative method. We investigate this method from a theoretical point of view by proving the stability of 3D Maxwell's equations. Numerical results have been achieved to verify the second-order convergence rate in both time and space.
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页数：28
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