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Maxwell interface problems‐ existence and uniqueness of solutions for Maxwell's equations
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-02-28 , DOI: 10.1002/zamm.201800033
Saoussen Boujemaa 1 , Abdessatar Khelifi 1
Affiliation  

In this paper, we study the Maxwell interface problem. We provide existence and uniqueness results of solutions of this problem in the harmonic time case. Our results are obtained by setting up the problem as a variational problem in the sobolev space H ( curl , Ω ) on a bounded domain. We prove analytical estimates on the convergence of perturbed solution. Numerical examples for different shapes of the domain will be presented.

中文翻译:

麦克斯韦接口问题-麦克斯韦方程组解的存在性和唯一性

在本文中,我们研究了麦克斯韦界面问题。我们提供了谐波时间情况下该问题解的存在性和唯一性结果。通过将问题设置为sobolev空间中的变分问题,可以得到我们的结果 H 卷曲 Ω 在有界域上。我们证明了摄动解收敛性的解析估计。将给出用于域的不同形状的数值示例。
更新日期:2020-02-28
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