dc.contributor
Centre de Recerca Matemàtica
dc.contributor.author
Ayuso, B.
dc.contributor.author
Carrillo, José A.
dc.contributor.author
Shu, C.-W.
dc.date.accessioned
2010-04-20T13:27:38Z
dc.date.accessioned
2024-09-19T13:25:45Z
dc.date.available
2010-04-20T13:27:38Z
dc.date.available
2024-09-19T13:25:45Z
dc.identifier.uri
http://hdl.handle.net/2072/48148
dc.description.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.
cat
dc.format.extent
528069 bytes
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application/pdf
dc.publisher
Centre de Recerca Matemàtica
ca
dc.relation.ispartofseries
Prepublicacions del Centre de Recerca Matemàtica;900
dc.rights
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 (http://creativecommons.org/licenses/by-nc-nd/2.5/es/)
cat
dc.subject.other
Elements finits, Mètode dels
ca
dc.subject.other
Energia -- Estalvi
ca
dc.subject.other
Galerkin, Mètodes de
ca
dc.title
Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system
ca
dc.type
info:eu-repo/semantics/preprint
ca