二维Stokes flow快速多极边界元法及截断误差  

Fast Multipole Boundary Element Method for 2D Stokes Flow Problem and Truncation Error

作　　者：弓小影[1] 闫涛红 于春肖[2] 

机构地区：[1]石家庄经济学院数理学院,河北石家庄050031 [2]燕山大学理学院,河北秦皇岛066004

出　　处：《信阳师范学院学报（自然科学版）》2015年第3期331-333,349,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11301459);河北省科技计划项目(13210128);河北省自然科学基金项目(A2015203121)

摘　　要：研究二维Stokes flow问题,给出快速多极边界元法复变函数形式基本解平移格式及计算步骤,得出改进相互作用列表算法并分析其计算效率.分析多极展开截断误差,给出截断项数表达式,说明截断误差可由截断项数控制.In terms of the Fast Multipole Boundary Element Method（ FM-BEM）,translations with complex function format and main computational steps of the fundamental solution were presented for 2D Stokes flow problem. An algorithm with modified interaction list was obtained and its computational efficiency was analyzed. Truncation errors of the multipole expansion were discussed and a formula for the number of expansion terms was given,which showed that the truncation error can be controlled by the number of expansion terms.

关 键 词：STOKES flow问题 计算量级 近远场 多极展开 截断误差 

分 类 号：O241.1[理学—计算数学]