A class of quadrature-based moment-closure methods with application to the Vlasov-Poisson-Fokker-Planck system in the high-field limit
DOI10.1016/j.cam.2013.10.041zbMath1302.76098arXiv1212.4026OpenAlexW1980486840MaRDI QIDQ2252384
James A. Rossmanith, Yongtao Cheng
Publication date: 17 July 2014
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.4026
Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)
Related Items (4)
Cites Work
- Unnamed Item
- Beyond pressureless gas dynamics: quadrature-based velocity moment models
- An asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck system in the high field regime
- A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations
- Conditional quadrature method of moments for kinetic equations
- Higher-order quadrature-based moment methods for kinetic equations
- Kinetic flux vector splitting for Euler equations
- High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor
- Multi-phase computations of the semiclassical limit of the Schrödinger equation and related problems: Whitham vs Wigner
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Limiters for high-order discontinuous Galerkin methods
- Total variation diminishing Runge-Kutta schemes
- Asymptotic Behavior of an Initial-Boundary Value Problem for the Vlasov--Poisson--Fokker--Planck System
- Convergence of a Difference Scheme for the Vlasov--Poisson--Fokker--Planck System in One Dimension
- Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
- Finite Volume Methods for Hyperbolic Problems
- The Riemann Problem for General 2 × 2 Conservation Laws
- HIGH-FIELD LIMIT OF THE VLASOV–POISSON–FOKKER–PLANCK SYSTEM: A COMPARISON OF DIFFERENT PERTURBATION METHODS
- TWO MOMENT SYSTEMS FOR COMPUTING MULTIPHASE SEMICLASSICAL LIMITS OF THE SCHRÖDINGER EQUATION
- Study of rarefied shear flow by the discrete velocity method
- On the Construction and Comparison of Difference Schemes
- Shock Structure in a Simple Discrete Velocity Gas
- LOW AND HIGH FIELD SCALING LIMITS FOR THE VLASOV– AND WIGNER–POISSON–FOKKER–PLANCK SYSTEMS
- High-field limit for the Vlasov-Poisson-Fokker-Planck system.
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