三维热传导型半导体问题的交替方向有限元方法

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.