## Diffusion Limit Of The Lorentz Model: Asymptotic Preserving Schemes

Citations: | 10 - 2 self |

### BibTeX

@MISC{Buet_diffusionlimit,

author = {Christophe Buet and Stephane Cordier and B. Lucquin-Desreux and S. Mancini},

title = {Diffusion Limit Of The Lorentz Model: Asymptotic Preserving Schemes},

year = {}

}

### OpenURL

### Abstract

This paper deals with the diusion limit of a kinetic equation where the collisions are modeled by a Lorentz type operator. The main aim is to construct a discrete scheme to approximate this equation which gives for any value of the Knudsen number, and in particular at the diusive limit, the right discrete diusion equation with the same value of the diusion coecient as in the continuous case. We are also naturally interested with a discretization which can be used with few velocity discretization points, in order to reduce the cost of computation.