Publications [#64683] of Hisham Z. Massoud

Papers Published

1. Cheng, Candong and Liu, Qing Huo and Massoud, Hisham Z., Spectral element method for the schrodinger-poisson system, 2004 10th International Workshop on Computational Electronics, IEEE IWCE-10 2004, Abstracts (2004), pp. 221 - 222, West Lafayette, IN, United States
   (last updated on 2007/04/15)

   Abstract:
   The development of a fast spectral element method (SEM) with exponential accuracy for the self-consistent solution of the Schrodinger-Poisson system for the simulation of semiconductor nanodevices was presented. Gauss-Lobatto-Legendre polynomials were used to represent the unknown fields Schrodinger and Poisson equations. The spectral element method was first applied on an infinite quantum well under an external bias to solve the Schrodinger equation. It was observed that the spectral element method had an exponential accuracy. while the finite-difference method only had a 2nd order accuracy.

   Keywords:
   Nanostructured materials;Poisson equation;Electric charge;Potential energy;Semiconductor quantum wells;MOSFET devices;Data storage equipment;Finite difference method;Computer simulation;