Hybrid model for the Coupling of an Asymptotic Preserving scheme with the Asymptotic Limit model: The One Dimensional Case⋆

Degond, Pierre, et al. Cancès, E., et al, eds. "Hybrid model for the Coupling of an Asymptotic Preserving scheme with the Asymptotic Limit model: The One Dimensional Case⋆." ESAIM: Proceedings 32 (2011): 23-30. <http://eudml.org/doc/251244>.

@article{Degond2011,
abstract = {In this paper a strategy is investigated for the spatial coupling of an asymptotic preserving scheme with the asymptotic limit model, associated to a singularly perturbed, highly anisotropic, elliptic problem. This coupling strategy appears to be very advantageous as compared with the numerical discretization of the initial singular perturbation model or the purely asymptotic preserving scheme introduced in previous works [3, 5]. The model problem addressed in this paper is well suited for the simulation of a plasma in the presence of a magnetic field, whose intensity may vary considerably within the simulation domain.},
author = {Degond, Pierre, Deluzet, Fabrice, Maldarella, Dario, Narski, Jacek, Negulescu, Claudia, Parisot, Martin},
editor = {Cancès, E., Crouseilles, N., Guillard, H., Nkonga, B., Sonnendrücker, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {11},
pages = {23-30},
publisher = {EDP Sciences},
title = {Hybrid model for the Coupling of an Asymptotic Preserving scheme with the Asymptotic Limit model: The One Dimensional Case⋆},
url = {http://eudml.org/doc/251244},
volume = {32},
year = {2011},
}

TY - JOUR
AU - Degond, Pierre
AU - Deluzet, Fabrice
AU - Maldarella, Dario
AU - Narski, Jacek
AU - Negulescu, Claudia
AU - Parisot, Martin
AU - Cancès, E.
AU - Crouseilles, N.
AU - Guillard, H.
AU - Nkonga, B.
AU - Sonnendrücker, E.
TI - Hybrid model for the Coupling of an Asymptotic Preserving scheme with the Asymptotic Limit model: The One Dimensional Case⋆
JO - ESAIM: Proceedings
DA - 2011/11//
PB - EDP Sciences
VL - 32
SP - 23
EP - 30
AB - In this paper a strategy is investigated for the spatial coupling of an asymptotic preserving scheme with the asymptotic limit model, associated to a singularly perturbed, highly anisotropic, elliptic problem. This coupling strategy appears to be very advantageous as compared with the numerical discretization of the initial singular perturbation model or the purely asymptotic preserving scheme introduced in previous works [3, 5]. The model problem addressed in this paper is well suited for the simulation of a plasma in the presence of a magnetic field, whose intensity may vary considerably within the simulation domain.
LA - eng
UR - http://eudml.org/doc/251244
ER -