Mathematical analysis and finite element simulation of a magnetized ferrite model
Document Type
Article
Publication Date
1-1-2016
Publication Title
Journal of Computational and Applied Mathematics
Volume
292
First page number:
279
Last page number:
291
Abstract
Abstract 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 L2 norm is obtained. Numerical results are consistent with our theoretical analysis and show how wave propagates in the ferrite material. © 2015 Elsevier B.V.
Keywords
35L15; 78-08; MSC 65N30
Language
English
Repository Citation
Li, J.,
Huang, Y.,
Yang, W.
(2016).
Mathematical analysis and finite element simulation of a magnetized ferrite model.
Journal of Computational and Applied Mathematics, 292
279-291.
http://dx.doi.org/10.1016/j.cam.2015.07.002