郑州大学学报（理学版）2017，Vol.49Issue(4)：1-4,10,5.DOI:10.13705/j.issn.1671-6841.2017049
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
摘要
Abstract
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Key words
Legendre series/fundamental solution/potential/potential gradient/truncation error分类
数理科学引用本文复制引用
于春肖,任翠环,郝雪景..三维位势问题Legendre级数基本解误差分析[J].郑州大学学报（理学版）,2017,49(4):1-4,10,5.基金项目
国家自然科学基金项目(11301459) （11301459）
河北省自然科学基金项目(A2015203121). （A2015203121）
