Alternating Direction Finite Element Method for Semiconductor Problem
半导体问题的交替方向有限元方法

The energy transport model of semiconductor problem, including both elliptic and parabolic equations, is solved by an alternating direction method. The elliptic equation for the electrostatic potential is solved by an alternating direction iterative method, the convection-dominated diffusion equations for the conservation of electron and hole concentrations are solved by an characteristic alternating direction finite element method, and the heat conduction equation is solved by an alternating direction finite element method with patch approximation. Using the theory and technique of a priori estimate of differential equation, the author obtains the optimal order error estimates in H^1-norm and L^2-norm of the elliptic equation and parabolic equations respectively.