Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system

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Title:	Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system
Author:	Ayuso de Dios, Blanca; Carrillo de la Plata, José Antonio; Shu, C.-W.; Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica
Abstract:	We construct a new family of semi-discrete numerical schemes for the approximation of the one-dimensional periodic Vlasov-Poisson system. The methods are based on the coupling of discontinuous Galerkin approximation to the Vlasov equation and several finite element (conforming, non-conforming and mixed) approximations for the Poisson problem. We show optimal error estimates for the all proposed methods in the case of smooth compactly supported initial data. The issue of energy conservation is also analyzed for some of the methods.
Subject(s):	-Elements finits, Mètode dels -Energia Estalvi
Rights:	open access Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús https://creativecommons.org/licenses/by-nc-nd/2.5/
Document type:	Article Prepublicació
Published by:	Centre de Recerca Matemàtica
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Uri:	https://ddd.uab.cat/record/60901