Geodesic
Discontinuous Galerkin semi-Lagrangian method for Vlasov-Poisson
N. Crouseilles1 ; M. Mehrenberger2 ; F. Vecil3
1INRIA, IRMA, Université de Strasbourg, 7, rue Ren Descartes, 67084 Strasbourg, France
2IRMA, Université de Strasbourg, 7, rue Ren Descartes, 67084 Strasbourg, France
3Departament 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},
     year = {2011},
     volume = {32},
     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

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