Mathematical analysis and finite element simulation of a magnetized ferrite model

被引：1

作者：

Li, Jichun ^{[1
]}

Huang, Yunqing ^{[2
]}

Yang, Wei ^{[2
]}

机构：

[1] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA

[2] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2016年 / 292卷

基金：

美国国家科学基金会;

关键词：

Maxwell's equations; Magnetized ferrite model; Edge element; Perfectly matched layer; DISCONTINUOUS GALERKIN METHODS; HARMONIC MAXWELL EQUATIONS; DISPERSIVE MEDIA; EDGE ELEMENTS; METAMATERIALS; CONVERGENCE; MESHES; COMPUTATION; SCHEME; LAYERS;

D O I：

10.1016/j.cam.2015.07.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Microwave scattering by obstacles made of ferrite materials has been studied for a long time because of its important applications in radar, satellite, optical imaging system, signal processing, atmospheric science, and even cloaking device design. In this paper, we present for the first time the rigorous mathematical analysis of a magnetized ferrite model widely used by engineers. The well-posedness of the model is established first. Then we develop a finite element time-domain method for solving this model. Numerical stability similar to the continuous stability is proved for our scheme, and the optimal error estimate in the L-2 norm is obtained. Numerical results are consistent with our theoretical analysis and show how wave propagates in the ferrite material. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：279 / 291

页数：13

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