Publications
Articles
- "A finite volume scheme for convection-diffusion equations with nonlinear diffusion derived from the Scharfetter-Gummel scheme" (To appear in Numerische Mathematik, pdf).
- "A finite volume scheme for nonlinear degenerate parabolic equations", with F. Filbet (To appear in SIAM Journal on Scientific Computing , pdf).
- "A finite volume scheme for a Keller-Segel model with additional cross-diffusion", with A. Jüngel (To appear in IMA Journal of Numerical Analysis , pdf).
- "On discrete functional inequalities for some finite volume schemes", with C. Chainais-Hillairet and F. Filbet (Submitted, pdf).
- "Study of a finite volume scheme for the drift-diffusion system. Asymptotic behavior in the quasi-neutral limit.", with C. Chainais-Hillairet et M.-H. Vignal (Submitted, pdf).
Proceedings
- "Asymptotic behavior of the Scharfetter-Gummel scheme for the drift-diffusion model" (pdf), J. Foyt et al. Finite Volumes for Complex Applications-Problems and Perspectives: Fvca 6, International Symposium, Prague, June 6-10, 2011, vol. 4. Springer Verlag, 2011.
Other documents
- Rapport de stage de M2 : "Analyse mathématique de schémas numériques pour un modèle de semi-conducteurs", fait en 2009 sous la direction de Claire Chainais-Hillairet et Francis Filbet (pdf).