采用边界元方法求解与运动介质相关声学问题时，难点之一是如何精确计算场点与源点重合所导致的奇异积分式。论文提出一种将具有奇性的单元面积分式拆分为奇性和非奇性积分部分分别进行计算的新方法。对奇性积分部分，经过严格的数学推导给出解析解；而对非奇性积分部分则通过高斯积分法处理。新方法可有效地提高边界元计算精度和效率，对运动介质中的有关声学问题的边界元数值计算具有重要意义。

The boundary element method (BEM) was usually used to study the acoustic radiation in moving medium. A key issue of this method was how to calculate the weak integrals while the field point approaching the source point. A new integral method was developed to solve this problem. Using this method, the weak integral on the element surface was divided into singular integral and non-singular integral. For the singular part, analytic solution was obtained through rigorous mathematic derivation. As to the non-singular part, the integral was evaluated by numerical quadrature techniques. One of the major advantages of this method was that it could effectively compute the singular integrals with good accuracy.