Convergence analysis for backward-Euler and mixed discontinuous Galerkin methods for the Vlasov-Poisson system

DOI10.1007/s10444-014-9388-6zbMath1330.65146OpenAlexW2170666519MaRDI QIDQ897467

Mohammad Asadzadeh, Piotr Kowalczyk

Publication date: 7 December 2015

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-014-9388-6

zbMATH Keywords

stabilityconvergencediscontinuous Galerkinmixed finite elementVlasov-Poissonbackward-EulerBrezzi-Douglas-Marini elements

Mathematics Subject Classification ID

Related Items (1)

On \(hp\)-streamline diffusion and Nitsche schemes for the relativistic Vlasov-Maxwell system

Cites Work

• Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: theoretical analysis and application to the Vlasov-Poisson system
• A discontinuous Galerkin method for the Vlasov-Poisson system
• A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations
• Two families of mixed finite elements for second order elliptic problems
• Asymptotic expansions and \(L^{\infty}\)-error estimates for mixed finite element methods for second order elliptic problems
• Global symmetric solutions of the initial value problem of stellar dynamics
• On classical solutions in the large in time of two-dimensional Vlasov's equation
• Convergence of finite volume scheme for a three-dimensional Poisson equation
• Sur une équation d'évolution changeant de type
• The finite element method with Lagrangian multipliers
• THE CONVERGENCE OF THE PARTICLE METHOD FOR THE VLASOV–POISSON SYSTEM WITH EQUALLY SPACED INITIAL DATA POINTS
• Discontinuous Galerkin semi-Lagrangian method for Vlasov-Poisson
• Sharp Maximum Norm Error Estimates for Finite Element Approximations of the Stokes Problem in 2 - D
• Streamline diffusion methods for the Vlasov-Poisson equation
• CONVERGENCE OF A hp-STREAMLINE DIFFUSION SCHEME FOR VLASOV–FOKKER–PLANCK SYSTEM
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• Streamline Diffusion Methods for the Incompressible Euler and Navier-Stokes Equations
• Global-in-time solutions of the two-dimensional vlasov-poisson systems
• On Simulation Methods for Vlasov–Poisson Systems with Particles Initially Asymptotically Distributed
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
• Global weak solution of the vlasov–poisson system for small electrons mass
• On the asymptotic growth of the solutions of the vlasov-poisson system
• Optimal L ∞ Estimates for the Finite Element Method on Irregular Meshes
• Convergence analysis of the streamline diffusion and discontinuous Galerkin methods for the Vlasov-Fokker-Planck system
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence analysis for backward-Euler and mixed discontinuous Galerkin methods for the Vlasov-Poisson system