摘要
本文讨论了二维和三维泊松方程中域积分化为边界积分的方法。对于形如x^ig_x(y,z)、y^ig_x(x,z)和z^ig_z(x,y)的荷载给出了域积分转化为边界积分的正确公式。而对于复杂荷载,利用泰勒展开将域积分近似地转化为边界积分并给出了误差估计。计算结果表明利用本文方法可大大节省计算时间。因此,本文方法是一种十分有效的方法。
In this paper, a method of transforming volume integrals to boundary integrals in two-dimensional and three-dimensional possion's equation is discussed. For the loadings such as xigz(y,z), yigy(x,z) and zigz(x,y) the exact formulae of tansforming volume integrals to boundary integrals are given. For the complicated loadings the volume integrals are approximately transformed to boundary integrals by using Taylor's expansion and error estimations are also given. Calculation results demonstrate that calculation time can be greatly saved by the method in this paper. Therefore, the method in this paper is very effective.
关键词
泊松
域积分
边界积分
possion's equation,boundary element method,volume integral,boundary integral
