A finite element/Fourier treatment of the Fokker-Planck equation

DOI10.1016/j.jcp.2012.06.004zbMath1277.35329OpenAlexW2055916791MaRDI QIDQ385925

J. Andrew Spencer, Eric D. Held, Jeong-Young Ji

Publication date: 12 December 2013

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2012.06.004

zbMATH Keywords

plasmafinite elementFokker-PlanckimplicitCoulomb collisions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Statistical mechanics of plasmas (82D10) Fokker-Planck equations (35Q84)

Related Items

Accurate numerical, integral methods for computing drift-kinetic Trubnikov-Rosenbluth potentials ⋮ New velocity-space discretization for continuum kinetic calculations and Fokker-Planck collisions ⋮ A two-dimensional Chebyshev wavelets approach for solving the Fokker-Planck equations of time and space fractional derivatives type with variable coefficients

Cites Work

• High order resolution of the Maxwell-Fokker-Planck-Landau model intended for ICF applications
• A high-order finite-volume algorithm for Fokker-Planck collisions in magnetized plasmas
• Implicit and conservative difference scheme for the Fokker-Planck equation
• Wavelet approximations of a collision operator in kinetic theory
• An implicit Vlasov-Fokker-Planck code to model non-local electron transport in 2-D with magnetic fields.
• Nonlinear magnetohydrodynamics simulation using high-order finite elements.
• The spectral collocation method for the kinetic equation with the nonlinear two-dimensional Coulomb collisional operator
• An implicit energy-conservative 2D Fokker-Planck algorithm. I: Difference scheme
• An implicit energy-conservative 2D Fokker-Planck algorithm. II: Jacobian-free Newton-Krylov solver
• Numerical algorithms for axisymmetric Fokker-Planck-Landau operators.
• A practical difference scheme for Fokker-Planck equations
• Fokker-Planck Equation for an Inverse-Square Force
• Secular and Nonsecular Behavior for the Cold Plasma Equations
• Transport Phenomena in a Completely Ionized Gas in Presence of a Magnetic Field
• Transport Phenomena in a Completely Ionized Gas
• Stochastic Problems in Physics and Astronomy
• Fast spectral methods for the Fokker-Planck-Landau collision operator.
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