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

Romain Nguyen van yen; Éric Sonnendrücker; Kai Schneider; Marie Farge

ESAIM: Proceedings (2011)

- Volume: 32, page 134-148
- ISSN: 1270-900X

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topNguyen 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 -

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