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二维位势问题的快速多极展开式
引用本文:王玮玮,徐永春,秦奋涛,李娇.二维位势问题的快速多极展开式[J].数学的实践与认识,2008,38(24).
作者姓名:王玮玮  徐永春  秦奋涛  李娇
作者单位:河北北方学院理学院数学系,河北,张家口,075028
摘    要:快速多极边界元法已经成功地应用于大规模二维三维弹性静力学问题中,有效地减少了计算时间和存储需求.将基于Taylor展式地快速多极边界元法应用到二维位势问题中,提出了二维位势问题地快速多极边界元格式,建立了二维位势问题的快速多极展开式.

关 键 词:边界元法  快速多极算法  Taylor级数  二维位势问题

The Fast Multipole Expansion of 2D Potential Problem
WANG Wei-wei,XU Yong-chun,QIN Fen-tao,LI Jiao.The Fast Multipole Expansion of 2D Potential Problem[J].Mathematics in Practice and Theory,2008,38(24).
Authors:WANG Wei-wei  XU Yong-chun  QIN Fen-tao  LI Jiao
Institution:Science College Department of Mathematics;Hebei North University;Zhangjiakou 075028;China
Abstract:Fast multipole BEM has been successfully applied to 2D and 3D large scale elastostatic problems and efficiently reduce the computing operations and memory requirements.The Fast Multipole BEM based on Taylor expansions is applied to 2D potential problem,the Fast Multipole BEM for 2D potential problem is presented and the Fast Multipole Expansion of 2D Potential Problem is developed.
Keywords:boundary element method  Fast Multipole Method  Taylor series  2D potential problem  
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