A Numerical Method for Kinetic Semiconductor Equations in the Drift Diffusion limit
- An asymptotic-induced scheme for kinetic semiconductor equations with the diffusion scaling is developed. The scheme is based on the asymptotic analysis of the kinetic semiconductor equation. It works uniformly for all ranges of mean free paths. The velocity discretization is done using quadrature points equivalent to a moment expansion method. Numerical results for different physical situations are presented.
Author: | Axel Klar |
---|---|
URN: | urn:nbn:de:hbz:386-kluedo-5926 |
Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (187) |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 1997 |
Year of first Publication: | 1997 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2000/04/03 |
Tag: | asymptotic analysis; drift-diffusion limit; kinetic semiconductor equations; numerical methods for stiff equations |
Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |