Quasi‐variational inequality and shape optimization for solution of a free boundary problem
ISSN: 0332-1649
Article publication date: 1 June 1999
Abstract
Electrical potentials in a junction field transistor can be calculated using a simplified model based on a complete depletion assumption. This gives rise to a free boundary problem. We show here how we can approximate this problem with a quasi‐variational inequality technique and the shape optimization method. A detailed analysis of these methods is presented. Using some numerical experiments we compare our results with the solution of the discrete drift‐diffusion system, accomplished with a Gummel‐like algorithm. The numerical results suggest that the methods proposed here work successfully and that the shape optimization technique provides a reasonably free boundary without excessive iterations.
Keywords
Citation
Abouchabaka, J., Aboulaïch, R., Nachaoui, A. and Souissi, A. (1999), "Quasi‐variational inequality and shape optimization for solution of a free boundary problem", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 18 No. 2, pp. 143-164. https://doi.org/10.1108/03321649910264154
Publisher
:MCB UP Ltd
Copyright © 1999, MCB UP Limited