Geodesic
Discontinuous Galerkin semi-Lagrangian method for Vlasov-Poisson
N. Crouseilles1 ; M. Mehrenberger2 ; F. Vecil3
1 INRIA, IRMA, Université de Strasbourg, 7, rue Ren Descartes, 67084 Strasbourg, France
2 IRMA, Université de Strasbourg, 7, rue Ren Descartes, 67084 Strasbourg, France
3 Departament de Matemàtica Aplicada, Universitat de València, calle Dr. Moliner 50, 46100 Burjassot, Spain
ESAIM. Proceedings, Tome 32 (2011), pp. 211-230.

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We present a discontinuous Galerkin scheme for the numerical approximation of the one-dimensional periodic Vlasov-Poisson equation. The scheme is based on a Galerkin-characteristics method in which the distribution function is projected onto a space of discontinuous functions. We present comparisons with a semi-Lagrangian method to emphasize the good behavior of this scheme when applied to Vlasov-Poisson test cases.
DOI : 10.1051/proc/2011022

N. Crouseilles 1 ; M. Mehrenberger 2 ; F. Vecil 3

1 INRIA, IRMA, Université de Strasbourg, 7, rue Ren Descartes, 67084 Strasbourg, France
2 IRMA, Université de Strasbourg, 7, rue Ren Descartes, 67084 Strasbourg, France
3 Departament de Matemàtica Aplicada, Universitat de València, calle Dr. Moliner 50, 46100 Burjassot, Spain 
@article{EP_2011_32_a15,
     author = {N. Crouseilles and M. Mehrenberger and F. Vecil},
     title = {Discontinuous {Galerkin} {semi-Lagrangian} method for {Vlasov-Poisson}},
     journal = {ESAIM. Proceedings},
     pages = {211--230},
     publisher = {mathdoc},
     volume = {32},
     year = {2011},
     doi = {10.1051/proc/2011022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/2011022/}
}
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N. Crouseilles; M. Mehrenberger; F. Vecil. Discontinuous Galerkin semi-Lagrangian method for Vlasov-Poisson. ESAIM. Proceedings, Tome 32 (2011), pp. 211-230. doi : 10.1051/proc/2011022. http://geodesic.mathdoc.fr/articles/10.1051/proc/2011022/

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