Quasi‐variational inequality and shape optimization for solution of a free boundary problem

J. Abouchabaka ^[1] ; R. Aboulaïch ^[1] ; A. Nachaoui ^[2] ; A. Souissi ^[1]
1. [1] Mohammed V University
  
  Mohammed V University
  
  Marruecos
2. [2] University of Nantes
  
  University of Nantes
  
  Arrondissement de Nantes, Francia
Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 18, Nº 2, 1999, págs. 143-164
Idioma: inglés
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Resumen
- 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