带电导体静电场等值面边值问题的边界积分方程

The Marginal Integral Equation to Boundary Value Problem about Equivalent Face in Electrostatic Field around Electrified Conductor

利用强极值原理将带电导体静电场内、外等值面边值问题化为几个常规的椭圆型Dirichlet边值问题,并建立它们相应的第一类Fredholm边界积分方程,由这些方程解的线性组合可构成原问题的解。

Based on the principles of strong extremus, this study converted the boundary value problem of equivalent face inside and outside electrostatic field around an electrified conductor into several conventional elliptic'Dirichlet functions'of boundary value problem and set up corresponding Fredholm marginal integral equations of first type. The linear combination of solutions of these equations can build up the solutions to the boundary value problem of equivalent face. 