Mathematical analysis and finite element simulation of a magnetized ferrite model

Jichun Li ^[1] ; Yunqing Huang ^[2] ; Wei Yang ^[2]
1. [1] University of Nevada, Las Vegas
  
  University of Nevada, Las Vegas
  
  Estados Unidos
2. [2] Xiangtan University
  
  Xiangtan University
  
  China
Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 292, Nº 1 (15 January 2016), 2016, págs. 279-291
Idioma: inglés
DOI: 10.1016/j.cam.2015.07.002
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Resumen
- 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.