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 language | English (US) |
|---|---|
| Pages (from-to) | 769-795 |
| Number of pages | 27 |
| Journal | Mathematical Models and Methods in Applied Sciences |
| Volume | 11 |
| Issue number | 5 |
| DOIs | |
| State | Published - Jul 2001 |
Keywords
- Boltzmann equation
- Energy transport systems
- Entropy methods
- Semiconductors
ASJC Scopus subject areas
- Modeling and Simulation
- Applied Mathematics