A rotated monotone difference scheme for the two-dimensional anisotropic drift-diffusion equation
type: Item
instance of: scholarly article
title: A rotated monotone difference scheme for the two-dimensional anisotropic drift-diffusion equation
zbMATH Open document ID: 0913.65089
author: K. Appert
published in: Journal of Computational Physics
publication date: 1999-06-07T00:00:00Z
review text: For the discretization of the steady-state two-dimensional anisotropic drift-diffusion equation a rotated upwind discretization is presented, taking into account the local characteristic nature of the solution. The special feature of the presented algorithm lie in the projection of the governing partial differential equation onto two orthogonal axes, to yield a vanishing mixed derivative term, and in the utilization of the upwind flow of information. The scheme produces an \(M\)-matrix which guarantees an oscillation-free solution and which enables the discrete system to be solved using standard iterative methods. The method is illustrated by numerical examples for which the analytic solutions are known.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1212285
zbMATH Keywords: monotone difference scheme
zbMATH Keywords: anisotropic drift-diffusion equation
zbMATH Keywords: rotated upwind discretization
zbMATH Keywords: algorithm
zbMATH Keywords: oscillation-free solution
zbMATH Keywords: iterative methods
zbMATH Keywords: numerical examples
reviewed by: Jiří Vaníček
MaRDI profile type: Publication
full work available at URL: jcph.1998.6033
OpenAlex ID: W1966338867
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DOI: 10.1006/JCPH.1998.6033
description: scientific article; zbMATH DE number 1212285