# Diffusion Limit of the Lorentz Model: Asymptotic Preserving Schemes

Christophe Buet; Stéphane Cordier; Brigitte Lucquin-Desreux; Simona Mancini

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 36, Issue: 4, page 631-655
- ISSN: 0764-583X

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topBuet, Christophe, et al. "Diffusion Limit of the Lorentz Model: Asymptotic Preserving Schemes." ESAIM: Mathematical Modelling and Numerical Analysis 36.4 (2010): 631-655. <http://eudml.org/doc/194119>.

@article{Buet2010,

abstract = {
This paper deals with the diffusion 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 diffusive limit, the right discrete
diffusion equation with the same value of the diffusion coefficient 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.
},

author = {Buet, Christophe, Cordier, Stéphane, Lucquin-Desreux, Brigitte, Mancini, Simona},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Hilbert expansion; diffusion limit.; diffusion limit},

language = {eng},

month = {3},

number = {4},

pages = {631-655},

publisher = {EDP Sciences},

title = {Diffusion Limit of the Lorentz Model: Asymptotic Preserving Schemes},

url = {http://eudml.org/doc/194119},

volume = {36},

year = {2010},

}

TY - JOUR

AU - Buet, Christophe

AU - Cordier, Stéphane

AU - Lucquin-Desreux, Brigitte

AU - Mancini, Simona

TI - Diffusion Limit of the Lorentz Model: Asymptotic Preserving Schemes

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 36

IS - 4

SP - 631

EP - 655

AB -
This paper deals with the diffusion 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 diffusive limit, the right discrete
diffusion equation with the same value of the diffusion coefficient 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.

LA - eng

KW - Hilbert expansion; diffusion limit.; diffusion limit

UR - http://eudml.org/doc/194119

ER -

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