Convergence of Galerkin approximation for two-dimensional Vlasov-Poisson equation

DOI10.1007/BF00945444zbMath0547.65082MaRDI QIDQ799084

N. E. Zubov

Publication date: 1984

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

rate of convergenceGalerkinFourier-Hermite expansiontwo-dimensional flat torusVlasov evolution of a negative charged plasmaVlasov- Poisson equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (3)

On the statistical solutions of Vlasov-Poisson equations in two dimensions ⋮ Error analysis of Fourier–Legendre and Fourier–Hermite spectral-Galerkin methods for the Vlasov–Poisson system ⋮ Convergence of Spectral Discretizations of the Vlasov--Poisson System

Cites Work

• Convergence of Fourier methods for Navier-Stokes equations
• On classical solutions in the large in time of two-dimensional Vlasov's equation
• Die Theorie der asymptotischen Verteilung und die numerische Lösung von Integrodifferentialgleichungen
• On classical solutions of the two-dimensional non-stationary Euler equation
• Galerkin approximations for the one-dimensional vlasov-poisson equation
• Particle Methods for the One-Dimensional Vlasov–Poisson Equations
• Convergence of Vortex Methods for Euler’s Equations. II
• On the classical solutions of the initial value problem for the unmodified non‐linear Vlasov equation I general theory
• Vortex Methods. I: Convergence in Three Dimensions

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