English

Uniform L $\infty$ estimates for approximate solutions of the bipolar drift-diffusion system

Numerical Analysis 2017-02-22 v1

Abstract

We establish uniform L \infty bounds for approximate solutions of the drift-diffusion system for electrons and holes in semiconductor devices, computed with the Schar-fetter-Gummel finite-volume scheme. The proof is based on a Moser iteration technique adapted to the discrete case.

Cite

@article{arxiv.1702.06300,
  title  = {Uniform L $\infty$ estimates for approximate solutions of the bipolar drift-diffusion system},
  author = {Marianne Bessemoulin-Chatard and Claire Chainais-Hillairet and Ansgar Jüngel},
  journal= {arXiv preprint arXiv:1702.06300},
  year   = {2017}
}
R2 v1 2026-06-22T18:23:53.607Z