# Diffusion limit of the Lorentz model : asymptotic preserving schemes

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

- 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 - Modélisation Mathématique et Analyse Numérique 36.4 (2002): 631-655. <http://eudml.org/doc/245407>.

@article{Buet2002,

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 - Modélisation Mathématique et Analyse Numérique},

keywords = {Hilbert expansion; diffusion limit},

language = {eng},

number = {4},

pages = {631-655},

publisher = {EDP-Sciences},

title = {Diffusion limit of the Lorentz model : asymptotic preserving schemes},

url = {http://eudml.org/doc/245407},

volume = {36},

year = {2002},

}

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 - Modélisation Mathématique et Analyse Numérique

PY - 2002

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

UR - http://eudml.org/doc/245407

ER -

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