三维热传导型半导体问题的交替方向有限元方法  

GALERKIN ALTERNATING-DIRECTION METHODS AND ANALYSES FOR THE THREE-DIMENSIONAL SEMICONDUCTOR PROBLEM WITH HEAT-CONDUCTION

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1期1-10,共10页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金 ( 1 9972 0 39);数学天元基金 ( Tr1 0 1 2 6 0 2 9)资助项目

摘　　要：Galerkin alternating direction methods are introduced and analyzed for approximating the solutions of three dimensional transient behavior of semiconductor with heat conduction, whose mathematical models are initial and boundary problems of nonlinear partial differential equation system. Electric potential equation is approximated by mixed finite element method, concentration and heat conduction equations are approximated by Galerkin alternating direction methods. Optimal order error estimates in L 2 are demonstrated.Galerkin alternating direction methods are introduced and analyzed for approximating the solutions of three dimensional transient behavior of semiconductor with heat conduction, whose mathematical models are initial and boundary problems of nonlinear partial differential equation system. Electric potential equation is approximated by mixed finite element method, concentration and heat conduction equations are approximated by Galerkin alternating direction methods. Optimal order error estimates in L 2 are demonstrated.

关 键 词：三维热传导型半导体 交替方向 有限元方法 瞬态问题 非线性偏微分方程 收敛性 

分 类 号：O241.82[理学—计算数学]