摘要
论述了一种用于三维场计算的异形同格差分方法.此法不但具有差分法要求计算机内存小、计算速度快等优点,而且具有有限元法的单元剖分灵活、适宜任意形状边界等优点,并可自动生成网格.在已有的二维数学模型的基础上,作者开发了三维数值计算差分公式,以四极透镜为例编制程序并进行了计算,计算结果表明:理论值与计算值相符,最大相对误差不超过10^(-3).
This paper presents a general method for deriving the finite diffe- rence approximation to three-dimensional field calculation in irregular network. The method is not only with the advantages of finite difference,but is also suitable for random boundaries.The relevant network of irregular triangle mesh can easily be created by the computer.As an example,the potential distribution in the quadruple len is computed with this method.The results show that calculated values are coincident with theoretical values.The maximum relative error is less than 10^(-3).
出处
《东南大学学报（自然科学版）》
EI
CAS
CSCD
1990年第1期69-74,共6页
Journal of Southeast University：Natural Science Edition
基金
国家自然科学基金
关键词
电子光学系统
设计计算
有限差分法
finite difference method
three-dimensional
field/irregular network
