Volume 1, Issue 2
Finite Element Analysis of Semiconductor Device Equations with Heat Effect

Jiansong Zhang ,  Jiang Zhu ,  Danping Yang and Xijun

Int. J. Numer. Anal. Mod. B, 1 (2010), pp. 197-216

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  • Abstract

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.

  • History

Published online: 2010-01

  • AMS Subject Headings

65M12, 65M15, 65M60.

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