静态电场分析的多极理论-边界元耦合法

The Hybrid Multipole TheoryBEM in Electrostatic Field Computation

从Ｌａｐｌａｃｅ方程的积分解出发，推导出静态电场分析的多极理论－边界元耦合的公式，给出了多极理论－边界元耦合法的计算公式及其使用条件．通过对两个实例的计算表明，所建立的方法是可行的，且具有比其它数值方法更高的计算精度，可以很方便地应用于静态电场的分析与设计中．这种方法也可用于求解Ｐｏｉｓｏｎ方程的边值问题．

This paper deduces the hybrid MT(Multipole Theroy) BEM formula and gives the application condition for solving the electrostatic field problem. By calculating and analyzing two examples, it is proved that the hybrid MTBEM is reliable and has higher accuracy than that of other methods. It can be used to analyze the electrical field in electrical engineering and can also be used to solve Poisson equation of boundaryvalue problems.