TY - JOUR T1 - Finite Element Analysis of Semiconductor Device Equations with Heat Effect AU - Jiansong Zhang, Jiang Zhu, Danping Yang & Xijun JO - International Journal of Numerical Analysis Modeling Series B VL - 2 SP - 197 EP - 216 PY - 2010 DA - 2010/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/332.html KW - Semiconductor device with heat effect KW - finite element scheme KW - existence and uniqueness KW - convergence analysis AB - In this paper, the system of the semiconductor device equations with heat effect is considered. An approximation to the system that makes use of a mixed finite element method for the electrostatic potential equation combined with a finite element method for the densities equations and the temperature equation is proposed. Existence and uniqueness of the approximate solution are proved. A convergence analysis is also given.