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静电场无网格方法中权函数的研究
引用本文:刘振华,刘建新,庞承宗.静电场无网格方法中权函数的研究[J].华北电力大学学报,2003,30(1):18-21.
作者姓名:刘振华  刘建新  庞承宗
作者单位:华北电力大学,电力工程系,河北,保定,071003
摘    要:阐述无网格方法(Meshless Method)及其在静电场分析中的基本原理。权函数的选择是此方法的核心,比较了不同权函数对计算速度和精度的影响。通过对二维静电场模型的分析,依据权函数选取的一般性原则,得出各种权函数中参数选取的范围,并找出了适合静电场分析的权函数。

关 键 词:无网格法  移动最小二乘法  权函数  静电场  数值计算
文章编号:1007-2691(2003)01-0018-04
修稿时间:2002年6月24日

Study on weighted functions of meshless methods in electrostatic field computation
LIU Zhen-hua,LIUJian-xin,PANG Cheng-zong.Study on weighted functions of meshless methods in electrostatic field computation[J].Journal of North China Electric Power University,2003,30(1):18-21.
Authors:LIU Zhen-hua  LIUJian-xin  PANG Cheng-zong
Abstract:The meshless method and its application issues in electrostatic field computation are presented. The choosing of the weighted functions is the key procedure. The computing speeds and precisions were compared under the different weighted functions. The 2D electrostatic field models was analyzed. The parameters' range of each weighted functions and the adaptive weighted function for solution of electrostatic field were given.
Keywords:meshless method  moving least-square approximation  weighted functions  electrostatic field  numerical computation
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