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
于春肖;任翠环;郝雪景;
摘要(Abstract):
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.
关键词(KeyWords): Legendre级数;基本解;位势;位势梯度;截断误差
基金项目(Foundation): 国家自然科学基金项目(11301459);; 河北省自然科学基金项目(A2015203121)
作者(Authors): 于春肖;任翠环;郝雪景;
DOI: 10.13705/j.issn.1671-6841.2017049
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