多枝域电磁场问题快速投影分解法的收敛性分析及应用

应用科学学报 ›› 2004, Vol. 22 ›› Issue (2): 258-260.

多枝域电磁场问题快速投影分解法的收敛性分析及应用

孙连友, 汤进龙, 洪伟

东南大学毫米波国家重点实验室江苏南京 210096

收稿日期:2003-02-23 修回日期:2003-06-20 出版日期:2004-06-30 发布日期:2004-06-30
作者简介:孙连友(1965-),男,安徽天长人,博士生;洪伟(1962-),男,河北张家口人,教授,博导.
基金资助:
国家863重大项目(2002AA123031);国家自然科学基金海外青年合作研究基金(6504001167);国家杰出青年科学基金(60225001)资助项目.

A Convergent Analysis of the Fast Decomposition Projective Method for Solving the Electromagnetic Problems on Multi-branch Domains and Its Application

SUN Lian-you, TANG Jin-long, HONGWei

State Key L aboratory Millimeter Waves, Southeast University, Nanjing 210096, China

Received:2003-02-23 Revised:2003-06-20 Online:2004-06-30 Published:2004-06-30

摘要/Abstract

摘要： 对求解枝连区域上电磁场问题的投影分解法和快速投影分解法的收敛性进行了分析和比较,并证明了快速投影分解法的收敛速度要快于一般的投影分解法.实际应用表明,快速投影分解法的收敛速度大大加快,其迭代次数大约只有原来的三分之一左右.

关键词: 投影分解法, 枝型区域, 投影算子

Abstract: This paper analyzes the convergence of decomposition projective method(DPM) and fast decomposition projective method(FDPM), both of which aim at solving the electromagnetic problems on multi-branch domains. This paper also proves that the convergence rate of FDPM is fast than that of DPM. FDPM's application shows that its convergence rate is very quick. The iterative number of FPDM equals to about one third of the former method.

Key words: multi-branch domain, decomposition projective method, projective operator

中图分类号:

孙连友, 汤进龙, 洪伟. 多枝域电磁场问题快速投影分解法的收敛性分析及应用[J]. 应用科学学报, 2004, 22(2): 258-260.

SUN Lian-you, TANG Jin-long, HONGWei. A Convergent Analysis of the Fast Decomposition Projective Method for Solving the Electromagnetic Problems on Multi-branch Domains and Its Application[J]. Journal of Applied Sciences, 2004, 22(2): 258-260.