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应用科学学报 >

2011 , Vol. 29 >Issue 4: 410 - 416

DOI: https://doi.org/10.3969/j.issn.0255-8297.2011.04.013

电子技术

电磁场积分方程全等形子域的重叠型区域分解算法

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  • 东南大学毫米波国家重点实验室，南京210096
胡俊，博士生，研究方向：计算电磁学，E-mail: junhu@emfield.org；洪伟，教授，博导，研究方向：计算电磁学、移动通信 射频技术，E-mail: weihong@seu.edu.cn

收稿日期: 2010-08-06

  修回日期: 2011-01-19

  网络出版日期: 2011-07-30

基金资助

基金项目：国家“973”重点基础研究发展计划基金(No. 2009CB320203, No. 2010CB327400)；国家自然科学基金(No. 60921063, No.60901013)资助

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Overlapped Domain Decomposition Method with Congruent Sub-domains for Electromagnetic Surface Integral Equations

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  • State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China

Received date: 2010-08-06

  Revised date: 2011-01-19

  Online published: 2011-07-30

Supported by

基金项目：国家“973”重点基础研究发展计划基金(No. 2009CB320203, No. 2010CB327400)；国家自然科学基金(No. 60921063, No.60901013)资助

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摘要

 提出一种电磁场表面积分方程全等形子域的重叠型区域分解算法. 该算法在全等形子域上形成一致网格并使所有子域的自作用矩阵共享一个“内-内”子矩阵，显著减少了区域分解算法的内存需求和阻抗矩阵的填充时间. 文中给出的多个算例表明，该算法能得到与矩量法和重叠型区域分解法相一致的计算结果，同时有效减少了对内存的需求和所用的计算时间，从而验证了算法的正确性和有效性.

关键词： 表面积分方程; 电磁散射; 重叠型区域分解算法; 全等形子域

本文引用格式

胡俊， 洪伟， 周后型， 李卫东， 宋喆， 谢家烨 . 电磁场积分方程全等形子域的重叠型区域分解算法[J]. 应用科学学报, 2011 , 29(4) : 410 -416 . DOI: 10.3969/j.issn.0255-8297.2011.04.013

Abstract

 An overlapped domain decomposition method with congruent sub-domains is proposed for solving
electromagnetic surface integral equations. Based on congruent sub-domains, the proposed method creates a
set of uniform mesh such that all the self-matrixes on the congruent sub-domains share an interior-interior
sub-matrix. The method can significantly reduce the memory requirement and the matrix filling time. It
can produce results consistent with those obtained with the MoM and the overlapped domain decomposition
method, while reduce the memory requirement and the CPU time. That is shown in the computation examples
presented in the paper, indicating correctness and effectiveness of the proposed method.

Key words： surface integral equation; electromagnetic scattering; overlapped domain decomposition; congruent sub-domain

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