[1]周平,徐金平.求解电磁场有限元-边界元方程组的有效方法[J].东南大学学报(自然科学版),2005,35(3):343-346.[doi:10.3969/j.issn.1001-0505.2005.03.005]
 Zhou Ping,Xu Jinping.Method for solving linear equations of hybrid finite element-boundary element method for EM problems[J].Journal of Southeast University (Natural Science Edition),2005,35(3):343-346.[doi:10.3969/j.issn.1001-0505.2005.03.005]
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求解电磁场有限元-边界元方程组的有效方法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
35
期数:
2005年第3期
页码:
343-346
栏目:
数学、物理学、力学
出版日期:
2005-05-20

文章信息/Info

Title:
Method for solving linear equations of hybrid finite element-boundary element method for EM problems
作者:
周平1 徐金平2
1 南京航空航天大学信息科学与技术学院, 南京 210016; 2 东南大学毫米波国家重点实验室, 南京 210096
Author(s):
Zhou Ping1 Xu Jinping2
1 College of Information Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2 State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China
关键词:
有限元法 边界元法 电磁散射 雷达散射截面 内观法 多波前法
Keywords:
finite element method boundary element method electromagnetic scattering radar cross section(RCS) inward-looking approach multifrontal method
分类号:
O441.4
DOI:
10.3969/j.issn.1001-0505.2005.03.005
摘要:
提出了一种求解电磁场有限元-边界元混合法所生成的线性方程组的有效方法——内观法结合多波前法.由于该线性方程组的系数是一个部分稀疏部分满填充的矩阵,为了加速求解,应用内观法将系数矩阵分为2块,一块是有限元法形成的稀疏矩阵,另一块是边界元法生成的满阵,然后用多波前法求解稀疏矩阵方程,用高斯-约当消去法解满阵方程.采用该方法,计算了二维多层介质柱体的雷达散射截面.计算结果表明,该方法的计算效率远远高于传统的高斯法.
Abstract:
An efficient method — inward-looking approach combined with multifrontal algorithm is proposed for solving linear equations deduced from hybrid finite element method — boundary element method(FEM/BEM)for electromagnetic(EM)problems. The coefficient of the equations formed by FEM/BEM is a matrix of partially sparse and partially full. To solve it fast, the matrix is divided into two parts by utilizing the inward looking approach. One is a sparse matrix, and the other a full matrix. The former is solved by the multifrontal method and the latter is solved by Gauss-Jordan method. Using the above technique, the radar cross section by two dimensional multilayer dielectric cylinders is computed. The results demonstrate that its calculation efficiency is much better than that of the Gauss method.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 江苏省教育厅自然科学基金资助项目(02KJD140007).
作者简介: 周平(1965—),男,博士生; 徐金平(联系人),男,博士,教授,博士生导师,jpxu@seu.edu.cn.
更新日期/Last Update: 2005-05-20