A Numerical Method for Kinetic Semiconductor Equations in the Drift-Diffusion Limit

Authors:
Axel Klar
Affiliations:
-
Venue:
SIAM Journal on Scientific Computing
Year:
1999

Citing 0
Cited 3

Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics

Journal of Computational Physics
Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit

SIAM Journal on Numerical Analysis
Asymptotic-preserving Projective Integration Schemes for Kinetic Equations in the Diffusion Limit

SIAM Journal on Scientific Computing

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Abstract

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.