三维热传导型半导体问题的交替方向特征有限元方法及理论分析

ALTERNATING-DIRECTION CHARACTERISTIC FIWITE ELEMENT METHODS AND ANALYSES FOR THE THREE-DIMENSIONAL SEMICONDUCTOR PROBLEM WITH HEAT-CONDUCTION

Alternating-direction methods are combined with characteristic finite element to treat the problem of three-dimensional transient behavior of semiconductor with heat-conduction, whose mathematical model is an initial and boundary problem of nonlinear partial differential equation system(Electric potential equation is approximated by mixed finite element method, concentration equations are approximated by alternating-direction characteristic finite element methods,and heatconduction equation is approximated by Galerkin alternating-direction method. Optimal order error estimates in L2 are demonstrated.