Convergence of a Mixed Discontinuous Galerkin and Finite Volume Scheme for the 3 Dimensional Vlasov–Poisson–Fokker–Planck System

Mohammad Asadzadeh () and Piotr Kowalczyk ()
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Mohammad Asadzadeh: Chalmers University of Technology and the University of Gothenburg, Department of Mathematics
Piotr Kowalczyk: Warsaw University, Department of Mathematics, Informatics and Mechanics

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 97-105 from Springer

Abstract: Abstract We construct a numerical scheme for the multi-dimensional Vlasov–Poisson–Fokker–Planck system based on a combined finite volume method for the Poisson equation in spatial domain and streamline-diffusion/ discontinuous Galerkin finite element methods in phase-space-time variables for the Vlasov–Fokker–Planck part. We derive error estimates with optimal convergence rates.

Keywords: Discontinuous Galerkin; Finite Volume Scheme; Optimal Convergence Rate; Poisson System; Discontinuous Galerkin Finite Element Method (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_9

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DOI: 10.1007/978-3-642-11795-4_9

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