Discontinuous galerkin methods for the multi-dimensional vlasov-poisson problem

Blanca Ayuso De Dios, José A. Carrillo, Chi Wang Shu

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34 Citations (Scopus)

Abstract

We introduce and analyze two new semi-discrete numerical methods for the multi-dimensional Vlasov-Poisson system. The schemes are constructed by combining a discontinuous Galerkin approximation to the Vlasov equation together with a mixed finite element method for the Poisson problem. We show optimal error estimates in the case of smooth compactly supported initial data. We propose a scheme that preserves the total energy of the system. © 2012 World Scientific Publishing Company.
Original languageEnglish
Article number1250042
JournalMathematical Models and Methods in Applied Sciences
Volume22
Issue number12
DOIs
Publication statusPublished - 22 Oct 2012

Keywords

  • Discontinuous Galerkin
  • Mixed finite elements
  • Vlasov-Poisson

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