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

DOI10.1108/03321649910264154zbMath0941.82050OpenAlexW2003785697MaRDI QIDQ4255088

J. Abouchabaka, Ali Souissi, Abdeljalil Nachaoui, Rajae Aboulaich

Publication date: 9 August 1999

Published in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03321649910264154

zbMATH Keywords

free boundary problemfinite elementPoisson's equationshape optimizationsemiconductorsquasi-variational inequalitydrift-diffusion systemGummel-like algorithm

Mathematics Subject Classification ID

Related Items (4)

An hybrid finite element method for a quasi-variational inequality modeling a semiconductor ⋮ Shape optimization for a simulation of a semiconductor problem ⋮ Inverse problems for multi-valued quasi variational inequalities and noncoercive variational inequalities with noisy data ⋮ Unnamed Item

Cites Work

• Numerical simulation of semiconductor devices
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• A Singular Perturbation Analysis of Reverse Biased $pn$-Junctions
• A SCALING METHOD IN THE NUMERICAL ANALYSIS SOLUTION OF THE CURRENT CONTINUITY EQUATIONS IN SEMICONDUCTOR ANALYSIS
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• EXISTENCE AND REGULARITY FOR VAN ROOSBROECK SYSTEMS WITH GENERAL MIXED BOUNDARY CONDITIONS
• On Strongly Reverse Biased Semiconductor Diodes
• A NEW APPROACH OF THE BOX METHOD ADAPTED TO ANY CONVEX POLYGONAL MESH
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