数学物理学报 ›› 2014, Vol. 34 ›› Issue (1): 109-114.

• 论文 • 上一篇    下一篇

Maxwell方程离散系统的谱分析

吴世良, 李翠霞   

  1. 安阳师范学院数学与统计学院 河南 安阳 455000
  • 收稿日期:2012-08-17 修回日期:2013-09-14 出版日期:2014-02-25 发布日期:2014-02-25
  • 基金资助:

    国家自然科学基金(11301009)和河南省科技发展计划项目(12230041036)资助.

Spectral Analysis on Some Discrete Systems From Maxwell Equations

 Wu Shi-Liang, LI Cui-Xia   

  1. School of Mathematics and Statistics, Anyang Normal University, Henan Anyang 455000
  • Received:2012-08-17 Revised:2013-09-14 Online:2014-02-25 Published:2014-02-25
  • Supported by:

    国家自然科学基金(11301009)和河南省科技发展计划项目(12230041036)资助.

摘要:

主要考虑有限元离散混合时谐Maxwell方程的鞍点线性方程组的谱分析. 理论分析显示在一定的条件下相应系数矩阵的特征值是非常聚集的.

关键词: Maxwell方程, 鞍点系统, 特征值

Abstract:

In this paper, spectral analysis on the saddle point linear systems from the finite element discretization of the mixed formulation of the time-harmonic Maxwell equations are presented. Theoretical analysis shows that all the eigenvalues of the relational coefficient matrix are strongly clustered under certain conditions.

Key words: Maxwell equations, Saddle point systems, Eigenvalue

中图分类号: 

  • 65F10