Streamline diffusion methods for the Vlasov-Poisson equation

DOI10.1051/m2an/1990240201771zbMath0703.76106OpenAlexW310369294MaRDI QIDQ3483028

Mohammad Asadzadeh

Publication date: 1990

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193593

zbMATH Keywords

error estimatesdiscontinuous Galerkin finite element methodsstreamline diffusiondiscretization of the Vlasov-Poisson equation

Mathematics Subject Classification ID

Diffusion (76R50) Finite element methods applied to problems in fluid mechanics (76M10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (9)

On streamline diffusion schemes for the one and one-half dimensional relativistic Vlasov-Maxwell system ⋮ On a Canonical Form for Maxwell Equations and Convergence of Finite Element Schemes for a Vlasov-Maxwell System ⋮ On Multiscale Variational and Streamline Diffusion Schemes for a Coupled Nonlinear Telegraph System ⋮ CONVERGENCE OF A hp-STREAMLINE DIFFUSION SCHEME FOR VLASOV–FOKKER–PLANCK SYSTEM ⋮ Convergence analysis for backward-Euler and mixed discontinuous Galerkin methods for the Vlasov-Poisson system ⋮ On \(hp\)-streamline diffusion and Nitsche schemes for the relativistic Vlasov-Maxwell system ⋮ A posteriori error estimates for the one and one-half dimensional relativistic Vlasov-Maxwell system ⋮ Streamline diffusion method for treating coupling equations of hyperbolic scalar conservation laws ⋮ Discontinuous Galerkin and multiscale variational schemes for a coupled damped nonlinear system of Schrödinger equations

Cites Work

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• Finite element methods for linear hyperbolic problems
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• On classical solutions in the large in time of two-dimensional Vlasov's equation
• Particle Methods for the One-Dimensional Vlasov–Poisson Equations
• The use of the heat operator in an existence theory problem of the Vlasov equation
• Streamline Diffusion Methods for the Incompressible Euler and Navier-Stokes Equations
• On the Convergence of a Finite Element Method for a Nonlinear Hyperbolic Conservation Law
• The Cauchy problem for the kinetic equation of plasma

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