AN ENTROPY-BASED FINITE DIFFERENCE METHOD FOR THE ENERGY TRANSPORT SYSTEM-Reference-Cited by-同舟云学术

AN ENTROPY-BASED FINITE DIFFERENCE METHOD FOR THE ENERGY TRANSPORT SYSTEM

Published:2001-07 Issue:05 Volume:11 Page:769-795
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

RINGHOFER CHRISTIAN¹

Affiliation:

1. Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804, USA

Abstract

This paper is concerned with the spatial discretization of the energy transport model for charged particles. A finite difference method is given which dissipates the entropy of the system on the discrete level, thus exhibiting the correct long-time behavior of the solution. This method represents a generalization of the Scharfetter–Gummel exponential fitting method for the drift-diffusion system.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202501001094

Reference7 articles.

1. Propagation d'ondes en milieu ferromagnétique 1D : existence et unicité des solutions

2. THE ASYMPTOTICS OF COLLISION OPERATORS FOR TWO SPECIES OF PARTICLES OF DISPARATE MASSES

3. Transport coefficients of plasmas and disparate mass binary gases

4. A Discretization Scheme for a Quasi-Hydrodynamic Semiconductor Model

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An asymptotic-preserving scheme for the semiconductor Boltzmann equation toward the energy-transport limit;Journal of Computational Physics;2015-01

2. Energy transport in semiconductor devices;Mathematical and Computer Modelling of Dynamical Systems;2010-03-25

3. The MWF method: A convergence theorem for homogeneous one-dimensional case;Computers & Mathematics with Applications;2009-08

4. The MWF method for kinetic equations system;Computers & Mathematics with Applications;2009-03

5. A Three-Dimensional Mixed Finite-Element Approximation of the Semiconductor Energy-Transport Equations;SIAM Journal on Scientific Computing;2009-01