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

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.