Use this identifier to quote or link this document: http://hdl.handle.net/2072/48148

Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system
Ayuso, B.; Carrillo, José A.; Shu, C.-W.
Centre de Recerca Matemàtica
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.
2009-11
517 - Anàlisi
Elements finits, Mètode dels
Energia -- Estalvi
Galerkin, Mètodes de
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