多重网格法及其在静态电磁场数值分析中的应用

Multigrid Method Applied to the Steady Electromagnetic Field Numerical Analysis

本文描述了求解边值问题的一种新的数值计算方法——多重网格法。通过对于静态电磁场的实例分析和计算,证明在同一计算精度要求下,该方法与有限差分法和有限元法相比,有更佳的收敛速度,能把离散求解方程所需计算量降到最低的数量级,显示出多重网格法应用于电磁场工程问题数值分析的优异特性及其实用价值。

This paper introduces a new numerical method-multigrid method. It has been found that the convergence speed of multigrid method is much.faster than that of finite element method and finite difference method by: using the numerical analysis of a typical example, in this, paper. Moreover, the method can greatly decrease the computational work. The authors successfully use it to solve a non-linear ion flow field of HVDC transmission lines. From the results given in this paper, multigrid method is shown to be a potentially very powerful numerical method in practical applications.