电磁场中可变步长的有限差分算法

在电磁系统中,用计算机辅助分析求解电磁场边值问题已变得越来越重要.而运算量的大小,是制约能否采用数值法求解的关键因数之一.根据电磁场的物理特性,离场源越远场能越低的特点,提出一种改进的数值算法——可变步长的有限差分法,可使场域内的节点数大为减少,计算量也随之大幅下降.且精度越高,步长越小,其效果越明显.

Variable Length of Step Finite Difference Method in Electromagnetic Field

In the electromagnetic system,finding the solution to border value using the computer assistant analysis is more and more important.However,the operation size is one of essential factors which the numerical method can be used in or not.According to the physical property that the electric field energy is more lower too far away from the electromagnetic field,this article proposed one improvement value algorithm,that is,invariable length of stride finite difference method.This algorithm can cause in the large reduction of field node points and the compute ring amount.It also shows that length of stride is smaller,more exact,and more effective.