O(lnr)型奇异积分的简便处理

Simple treatment for O( ln r) type singular integrals

给出一种简便的坐标变换来消除二维边界元中Ｏ（ｌｎｒ）型积分奇异性，然后采用标准高斯数值积分，使边界元程序的实现大为简化．算例表明效果较好，对规则网格。

This paper presents a simple coordinate transformation to remove the singularity of O (ln r ) type integrals in 2D BEM; thus standard Gauss quadrature can be used, and the 2D BEM program codes can be greatly simplified. Numerical examples show enough accuracy can be obtained with only 5￣6 Gauss points for regular BEM meshes.