An entropy-based finite difference method for the energy transport system

Research output: Contribution to journalArticle

12 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)769-795
Number of pages27
JournalMathematical Models and Methods in Applied Sciences
Volume11
Issue number5
DOIs
StatePublished - Jul 1 2001

Keywords

  • Boltzmann equation
  • Energy transport systems
  • Entropy methods
  • Semiconductors

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics

Fingerprint Dive into the research topics of 'An entropy-based finite difference method for the energy transport system'. Together they form a unique fingerprint.

  • Cite this