^pKey;
Laboratory;
of;
Machinery;
System;
and;
Vibration,;
Shanghai;
Jiaotong;
University,;
Shanghai;
200240,;
China;
^pof;
Mechanical;
Engineering,;
University;
of;
Cincinnati,;
Cincinnati,;
Ohio;
45221-0072,;
USA;
快速多极子方法; Helmholtz方程; 积分恒等式; 数值积分; 二维; 塞尔; 误差分析; 求积公式;