# Solving the Vlasov equation in complex geometries

J. Abiteboul; G. Latu; V. Grandgirard; A. Ratnani; E. Sonnendrücker; A. Strugarek

ESAIM: Proceedings (2011)

- Volume: 32, page 103-117
- ISSN: 1270-900X

## Access Full Article

top## Abstract

top## How to cite

topAbiteboul, J., et al. Cancès, E., et al, eds. "Solving the Vlasov equation in complex geometries." ESAIM: Proceedings 32 (2011): 103-117. <http://eudml.org/doc/251238>.

@article{Abiteboul2011,

abstract = {This paper introduces an isoparametric analysis to solve the Vlasov equation with a
semi-Lagrangian scheme. A Vlasov-Poisson problem modeling a heavy ion beam in an
axisymmetric configuration is considered. Numerical experiments are conducted on
computational meshes targeting different geometries. The impact of the computational grid
on the accuracy and the computational cost are shown. The use of analytical mapping or
Bézier patches does not induce a too large computational overhead and is quite accurate.
This approach successfully couples an isoparametric analysis with a semi-Lagrangian
scheme, and we expect to apply it to a gyrokinetic Vlasov solver. },

author = {Abiteboul, J., Latu, G., Grandgirard, V., Ratnani, A., Sonnendrücker, E., Strugarek, A.},

editor = {Cancès, E., Crouseilles, N., Guillard, H., Nkonga, B., Sonnendrücker, E.},

journal = {ESAIM: Proceedings},

keywords = {Vlasov-Poisson problem},

language = {eng},

month = {11},

pages = {103-117},

publisher = {EDP Sciences},

title = {Solving the Vlasov equation in complex geometries},

url = {http://eudml.org/doc/251238},

volume = {32},

year = {2011},

}

TY - JOUR

AU - Abiteboul, J.

AU - Latu, G.

AU - Grandgirard, V.

AU - Ratnani, A.

AU - Sonnendrücker, E.

AU - Strugarek, A.

AU - Cancès, E.

AU - Crouseilles, N.

AU - Guillard, H.

AU - Nkonga, B.

AU - Sonnendrücker, E.

TI - Solving the Vlasov equation in complex geometries

JO - ESAIM: Proceedings

DA - 2011/11//

PB - EDP Sciences

VL - 32

SP - 103

EP - 117

AB - This paper introduces an isoparametric analysis to solve the Vlasov equation with a
semi-Lagrangian scheme. A Vlasov-Poisson problem modeling a heavy ion beam in an
axisymmetric configuration is considered. Numerical experiments are conducted on
computational meshes targeting different geometries. The impact of the computational grid
on the accuracy and the computational cost are shown. The use of analytical mapping or
Bézier patches does not induce a too large computational overhead and is quite accurate.
This approach successfully couples an isoparametric analysis with a semi-Lagrangian
scheme, and we expect to apply it to a gyrokinetic Vlasov solver.

LA - eng

KW - Vlasov-Poisson problem

UR - http://eudml.org/doc/251238

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.