Particle-in-wavelets scheme for the 1D Vlasov-Poisson equations ⋆⋆⋆

Nguyen van yen, Romain, et al. Cancès, E., et al, eds. "Particle-in-wavelets scheme for the 1D Vlasov-Poisson equations ⋆⋆⋆." ESAIM: Proceedings 32 (2011): 134-148. <http://eudml.org/doc/251236>.

@article{Nguyenvanyen2011,
abstract = {A new numerical scheme called particle-in-wavelets is proposed for the Vlasov-Poisson equations, and tested in the simplest case of one spatial dimension. The plasma distribution function is discretized using tracer particles, and the charge distribution is reconstructed using wavelet-based density estimation. The latter consists in projecting the Delta distributions corresponding to the particles onto a finite dimensional linear space spanned by a family of wavelets, which is chosen adaptively. The stability and accuracy of the scheme is supported by numerical computations of Landau damping and of the two-stream instability. By direct comparison with a reference solution obtained by a very precise semi-Lagrangian method, we show that the precision is improved roughly by a factor 3 compared to a classical PIC scheme, for a given number of particles.},
author = {Nguyen van yen, Romain, Sonnendrücker, Éric, Schneider, Kai, Farge, Marie},
editor = {Cancès, E., Crouseilles, N., Guillard, H., Nkonga, B., Sonnendrücker, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {11},
pages = {134-148},
publisher = {EDP Sciences},
title = {Particle-in-wavelets scheme for the 1D Vlasov-Poisson equations ⋆⋆⋆},
url = {http://eudml.org/doc/251236},
volume = {32},
year = {2011},
}

TY - JOUR
AU - Nguyen van yen, Romain
AU - Sonnendrücker, Éric
AU - Schneider, Kai
AU - Farge, Marie
AU - Cancès, E.
AU - Crouseilles, N.
AU - Guillard, H.
AU - Nkonga, B.
AU - Sonnendrücker, E.
TI - Particle-in-wavelets scheme for the 1D Vlasov-Poisson equations ⋆⋆⋆
JO - ESAIM: Proceedings
DA - 2011/11//
PB - EDP Sciences
VL - 32
SP - 134
EP - 148
AB - A new numerical scheme called particle-in-wavelets is proposed for the Vlasov-Poisson equations, and tested in the simplest case of one spatial dimension. The plasma distribution function is discretized using tracer particles, and the charge distribution is reconstructed using wavelet-based density estimation. The latter consists in projecting the Delta distributions corresponding to the particles onto a finite dimensional linear space spanned by a family of wavelets, which is chosen adaptively. The stability and accuracy of the scheme is supported by numerical computations of Landau damping and of the two-stream instability. By direct comparison with a reference solution obtained by a very precise semi-Lagrangian method, we show that the precision is improved roughly by a factor 3 compared to a classical PIC scheme, for a given number of particles.
LA - eng
UR - http://eudml.org/doc/251236
ER -