非矩形区域上半导体问题的交替方向有限元方法  

ALTERNATING DIRECTION FINITE ELEMENT METHODS FOR SEMICONDUCTOR PROBLEM ON NONRECTANGULAR

作　　者：刘蕴贤[1] 

机构地区：[1]山东大学数学学院,济南250100

出　　处：《高等学校计算数学学报》2002年第2期109-118,共10页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金(19972039);数学天元基金(TY10126029)资助项目

摘　　要：在矩形区域上,Douglas,袁益让等[3,4]对该问题的简单模型(不考虑温度影响)提出了便于实用的差分方法和特征有限元方法,并得到理论分析.Transient behavior of semiconductor with heat-conduction on nonrec-tangular is studied using isoparametric elements and an approximation to the Ja-cobian of the isoparametric map. Concentration and heat-conduction equations are solved by alternating-direction methods and electric potential equation is ap-proximated by finite element method. Optimal order error estimates in L2 are demonstrated using the theory and technique of a prior estimate of differential e-quation.

关 键 词：非矩形区域 半导体问题 交替方向有限元方向 半导体器件 

分 类 号：TN303[电子电信—物理电子学] O241.82[理学—计算数学]