中国空间科学技术

中国空间科学技术

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多尺度子域基函数矩量法解的稳定性与迭代法

杨继松,傅君眉   

  1. 西安空间无线电技术研究所,西安交通大学
  • 发布日期:1997-08-25

THE MOMENT METHOD’S STABILITY AND SUPERPOSITION ALGORITHM ON THE MULTI SCALE SUB DOMAIN FUNCTION BASS

Yang Jisong (Xi'an Institude of Space Radio Technology,Xi'an 710000) Fu Junmei (Xi'an Jiaotong University,Xi'an 710049)   

  • Online:1997-08-25

被引次数

1

摘要： 通过对几个具体实例的计算，证实了在电磁场边值问题的矩量法求解过程中，选用不同的基函数其解的数值稳定性会有很大的差别。从而有可能选择一种数值稳定性比较好的基函数来进行矩量法求解。另一方面，提出了选用多尺度子域基函数，并通过多次迭代来提高矩量法解的精度的算法。实例计算表明，该算法不仅可以有效地降低系数矩阵的条件数，而且还降低了对计算机内存容量的要求，是一种有效的、稳定的算法

关键词: 电磁场, 边值问题, 稳定性分析, 矩量法, 迭代解

Abstract: By compution of several practical examples,it is proved that the moment method's stability is very different for the different selection of bass function.So it is possible to improve the moment method's stability by select the appropriate bass function. Besides ,by selecting the multi scale sub domain bass function and superposition algorithm,the coefficient matrix's condition number can be reduced,so can be the requirement to the computer's memory.It is proved by several examples that the superposition algorithm for moment method's solution on the multi scale sub domain function bass is an effective and stable method.