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Finite element solution of the nonlinear Poisson equation for semiconductor devices using the fixed‐point iteration method

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3 Author(s)
Kobeissi, H. ; Electrical and Computer Engineering Department, École Polytechnique de Montréal, C.P. 6079, Succursale A, Montréal, Québec H3C 3A7, Canada ; Ghannouchi, F.M. ; Khebir, A.

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The fixed‐point iteration method is extended to the finite element solution of the nonlinear Poisson equation of semiconductor devices. The boundary value problem is derived and shown to have a global convergence. In addition, using explicit formulas to update the value of the electrostatic potential, the solution of simultaneous equations is avoided. A numerical example of a metal‐oxide‐semiconductor field‐effect transistor at thermal equilibrium is presented.

Published in:
Journal of Applied Physics  (Volume:74 ,  Issue: 10 )

Date of Publication: Nov 1993

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