三维位势问题Legendre级数基本解误差分析  

Error Analysis of Fundamental Solutions in Legendre Series for Three-dimensional Potential Problems

作　　者：于春肖[1] 任翠环 郝雪景 YU Chunxiao;REN Cuihuan;HAO Xuejing(College of Sciences , Yanshan University, Qinhuangdao 066004, Chin)

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《郑州大学学报（理学版）》2017年第4期1-4,10,共5页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金项目(11301459);河北省自然科学基金项目(A2015203121)

摘　　要：对三维位势及位势梯度Legendre级数基本解进行了研究.利用Legendre函数性质和近远场划分准则,推导出位势及位势梯度基本解的截断误差表达式,并分析了有关截断指标对计算精度和计算效率的影响.Potential and potential gradient fundamental solutions in Legendre series were studied for three-dimensional potential problems. By using properties of Legendre function and the near-far field par-tition criterion, truncation error expressions were derived for the potential and potential gradient funda-mental solutions. In addition, the influence of truncation index on the computational accuracy and effi-ciency was analyzed.

关 键 词：Legendre级数 基本解 位势 位势梯度 截断误差 

分 类 号：O241[理学—计算数学]