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.available |
2010-04-20T13:27:38Z |
dc.date.created |
2009-11 |
dc.date.issued |
2009-11 |
dc.identifier.uri |
http://hdl.handle.net/2072/48148 |
dc.format.extent |
49 |
dc.format.extent |
528069 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
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/) |
dc.subject.other |
Elements finits, Mètode dels |
dc.subject.other |
Energia -- Estalvi |
dc.subject.other |
Galerkin, Mètodes de |
dc.title |
Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
517 - Anàlisi |
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. |