【作者】 王泽忠； 赵良；

【Author】 WANG Ze-zhong, ZHAO Liang (Dept. of EE, North China Electric Power University, Beijing 102206, China)

【机构】 华北电力大学电力工程系；

【摘要】 使用边界积分方法求解已知第二类边界条件的拉普拉斯方程或泊松方程时,理论上解是不唯一的。当采用数值方法计算时,若用单精度数据计算并不加任何限制条件时,解出的线性方程组是“病态”的,相应的数值解是振荡的。通过一些方法可以减小解的振荡性或有效降低此方程组的条件数,从而解出接近于解析解的结果。更多还原

【Abstract】 Theoretically the numerical solution of Poisson’s equation or Laplace’s equation plus Neumann boundary condition calculated by the boundary integration method is not unique. When using boundary element method to calculate this type of equation without any constraints, we will resolve a system of linear equations with ill-conditioning getting a oscillatory solution. This paper presents several methods to reduce the oscillation of solution or to effectively reduce the system of linear equation’s condition numder.更多还原