An interpolating particle method for the Vlasov-Poisson equation

DOI10.1016/j.jcp.2022.111720OpenAlexW4307955899MaRDI QIDQ2106919

Matthias Kirchhart, R. Paul Wilhelm

Publication date: 29 November 2022

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

Full work available at URL: https://arxiv.org/abs/2202.11078

zbMATH Keywords

radial basis functionsLagrangian methodparticle methodreproducing kernel Hilbert spaceVlasov-Poisson

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Basic methods in fluid mechanics (76Mxx) Ionized gas flow in electromagnetic fields; plasmic flow (76Xxx)

Related Items (1)

On a 1D-electrostatic test problem for the PIC method

Uses Software

• Matlab
• Vador

Cites Work

• A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations
• On Landau damping
• A critical comparison of Eulerian-grid-based Vlasov solvers
• Comparison of Eulerian Vlasov solvers
• Stability of kernel-based interpolation
• Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
• Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
• On classical solutions in the large in time of two-dimensional Vlasov's equation
• Solving partial differential equations by collocation using radial basis functions
• Fast triangulated vortex methods for the 2D Euler equations
• Semi-Lagrangian schemes for the Vlasov equation on an unstructured mesh of phase space
• Grid-free adaptive semi-Lagrangian advection using radial basis functions
• Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions
• Semi-Lagrangian particle methods for high-dimensional Vlasov-Poisson systems
• Numerical simulation of plasmas with periodic smoothing in phase space
• Enhanced Convergence Estimates for Semi-Lagrangian Schemes Application to the Vlasov--Poisson Equation
• Kernel-based vector field reconstruction in computational fluid dynamic models
• A Particle-in-cell Method with Adaptive Phase-space Remapping for Kinetic Plasmas
• Particle Methods for the One-Dimensional Vlasov–Poisson Equations
• Existence and uniqueness of the classical solution of vlasov's system of equations
• The formation of vortices from a surface of discontinuity
• Reproducing kernel particle methods
• Recurrence Phenomenon for Vlasov-Poisson Simulations on Regular Finite Element Mesh
• A 4th-Order Particle-in-Cell Method with Phase-Space Remapping for the Vlasov--Poisson Equation
• Discrete Projections: A Step Towards Particle Methods on Bounded Domains without Remeshing
• Conservative numerical schemes for the Vlasov equation
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