二维势问题中快速多极边界元法的误差分析研究  

The Error Analysis of the Fast Multipole Boundary Element Method in the Two-dimensional Potential Problem

作　　者：李斌 方春华[2] LI Bin;FANG Chunhua(College of science,Hunan University of Science and Engineering,Yongzhou 425199,China;College of Mathematics,Hunan Institute of Science and Technology,Yueyang 414006,China)

机构地区：[1]湖南科技学院理学院,湖南永州425199 [2]湖南理工学院数学学院,湖南岳阳414006

出　　处：《湖南理工学院学报（自然科学版）》2018年第3期10-13,59,共5页Journal of Hunan Institute of Science and Technology(Natural Sciences)

基　　金：湖南省教育厅科研项目(17C0677;17B113);国家自然科学基金项目(11701171)

摘　　要：探讨了快速多极常数元法求解二维势问题的截断误差的收敛界,并通过数值实例验证了快速多极求解大规模势问题的高效性以及截断误差界的准确性.This paper mainly explores truncation error limits of the two-dimensional potential problems solved by the fast multipole constant element method. Numerical examples verify the efficiency of solving large-scale potential problems by fast multipole method, and proof the accuracy of the truncation error.

关 键 词：势问题 边界元法 快速多极 常数元 

分 类 号：O151.21[理学—数学]