Upwind finite difference solution of Boltzmann equation applied to electron transport in semiconductor devices
type: Item
instance of: scholarly article
title: Upwind finite difference solution of Boltzmann equation applied to electron transport in semiconductor devices
zbMATH Open document ID: 0792.65110
author: Emad Fatemi
author: Faroukh Odeh
published in: Journal of Computational Physics
publication date: 1994-07-31T00:00:00Z
full work available at URL: http://purl.umn.edu/1900
review text: The proposed method for solving the Boltzmann-Poisson system (modelling charge transport in semiconductor devices) is based on forward Euler time discretization and a general upwind scheme for dealing with the differential terms; the discretization is designed such that mass is conserved at each step. The method is closely related to the methods of \textit{A. J. Chorin} [Commun. Pure Appl. Math. 25, 171-186 (1972; Zbl 0226.65077)] and \textit{G. A. Sod} [Commun. Pure Appl. Math. 30, 391-419 (1977; Zbl 0336.65049)] for solving the Boltzmann equation for a steady shock wave. Numerical examples illustrate the reliability of the scheme.
reviewed by: H. Brunner
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 78A35
zbMATH DE Number: 516907
zbMATH Keywords: upwind finite difference scheme
zbMATH Keywords: electron transport
zbMATH Keywords: numerical example
zbMATH Keywords: Boltzmann-Poisson system
zbMATH Keywords: charge transport
zbMATH Keywords: semiconductor devices
zbMATH Keywords: forward Euler time discretization
MaRDI profile type: Publication
OpenAlex ID: W1976471781
DOI: 10.1006/JCPH.1993.1176
description: scientific article; zbMATH DE number 516907