Multiscale analysis and algorithm of transient electromagnetic scattering from heterogeneous materials

被引：2
作者：
Zhang, Yongwei [1 ]
Cao, Liqun [2 ]
Shi, Dongyang [1 ]
Lin, Yanping [3 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
[2] Chinese Acad Sci, Univ Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, LSEC,NCMIS,Acad Math & Syst Sci, Beijing 100190, Peoples R China
[3] Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Kowloon, Hong Kong, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2021年 / 391卷 / 391期
基金：
中国国家自然科学基金;
关键词：
Transient electromagnetic scattering; Heterogeneous materials; The multiscale asymptotic expansion; Finite element method; DEPENDENT MAXWELLS EQUATIONS; FINITE-ELEMENTS; HOMOGENIZATION; SINGULARITIES; PARAMETERS;
D O I：
10.1016/j.cam.2021.113427
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is concerned with the multiscale analysis of the scattering problem for three-dimensional time-dependent Maxwell's equations in heterogeneous materials. Firstly, an exact transparent boundary condition is developed to reduce the scattering problem into an initial-boundary value problem in heterogeneous materials. Secondly, the multiscale asymptotic expansions of the solution for the reduced problem and an explicit convergence rate for the approximate solutions are presented. Finally, a multiscale Crank-Nicolson mixed finite element method is proposed where the first order approximation of the Silver-Muller radiation condition is utilized to truncate infinite domain problems. Numerical experiments are then carried out to validate the theoretical results. (c) 2021 Elsevier B.V. All rights reserved.
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页数：17
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