Geodesic
Electromagnetic PIC simulations with smooth particles: a numerical study
Martin Campos Pinto1 ; Mathieu Lutz2 ; Marie Mounier3
1 CNRS, Sorbonne Universités, UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, 4, place Jussieu 75005, Paris, France
2 Université de Toulouse, UMR5219, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France
3 Nuclétudes, CS 70117, 91978 Courtaboeuf cedex, France
ESAIM. Proceedings, Tome 53 (2016), pp. 133-148.

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In this article we study a charge-conserving finite-element particle scheme for the Maxwell-Vlasov system that is based on a div-conforming representation of the electric field and we propose a high-order deposition algorithm for smooth particles with piecewise polynomial shape. The numerical performances of the method are assessed with an academic beam test-case, and it is shown that for an appropriate choice of the particle parameters the efficiency of the resulting method overcomes that of similar finite-element schemes using point particles.
DOI : 10.1051/proc/201653009

Martin Campos Pinto 1 ; Mathieu Lutz 2 ; Marie Mounier 3

1 CNRS, Sorbonne Universités, UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, 4, place Jussieu 75005, Paris, France
2 Université de Toulouse, UMR5219, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France
3 Nuclétudes, CS 70117, 91978 Courtaboeuf cedex, France 
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     title = {Electromagnetic {PIC} simulations with smooth particles: a numerical study},
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Martin Campos Pinto; Mathieu Lutz; Marie Mounier. Electromagnetic PIC simulations with smooth particles: a numerical study. ESAIM. Proceedings, Tome 53 (2016), pp. 133-148. doi : 10.1051/proc/201653009. http://geodesic.mathdoc.fr/articles/10.1051/proc/201653009/

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