FINITE VOLUME APPROXIMATION FOR DEGENERATE DRIFT-DIFFUSION SYSTEM IN SEVERAL SPACE DIMENSIONS-Reference-Cited by-同舟云学术

FINITE VOLUME APPROXIMATION FOR DEGENERATE DRIFT-DIFFUSION SYSTEM IN SEVERAL SPACE DIMENSIONS

Published:2004-03 Issue:03 Volume:14 Page:461-481
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

CHAINAIS-HILLAIRET CLAIRE¹,PENG YUE-JUN¹

Affiliation:

1. Laboratoire de Mathématiques Appliquées, CNRS UMR 6620, Université Blaise Pascal (Clermont-Ferrand 2), 63177 Aubière cedex, France

Abstract

This paper is devoted to a finite volume discretization for multidimensional nonlinear drift-diffusion system. Such system arises in semiconductors modelling and is composed of two degenerate parabolic equations and an elliptic one. We prove the convergence of the finite volume scheme and then the existence of solutions to the problem. Several numerical tests show the efficiency of the method.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202504003313

Reference26 articles.

1. A MASS‐LUMPING SEMIDISCRETIZATION OF THE SEMICONDUCTOR DEVICE EQUATIONS

2. F. Arimburgo, C. Baiocchi and L. D. Marini, Nonlinear Kinetic Theory and Mathematical Aspects of Hyperbolic Systems (Rapallo 1992) (World Scientific, 1992) pp. 1–10.

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