Hamiltonian particle-in-cell methods for Vlasov-Poisson equations
DOI10.1016/j.jcp.2022.111472OpenAlexW4224294730WikidataQ114163230 ScholiaQ114163230MaRDI QIDQ2162053
Yang He, Anjiao Gu, Ya-Juan Sun
Publication date: 5 August 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.08214
finite element methodPoisson bracketVlasov-Poisson systemstructure-preserving algorithmHamiltonian splitting method
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)
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- Variational formulation of particle algorithms for kinetic plasma simulations
- Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system
- High-order Hamiltonian splitting for the Vlasov-Poisson equations
- An energy- and charge-conserving, implicit, electrostatic particle-in-cell algorithm
- Comparison of Eulerian Vlasov solvers
- Hamiltonian splitting for the Vlasov-Maxwell equations
- The Hamiltonian structure of the Maxwell-Vlasov equations
- A parallel Vlasov solver based on local cubic spline interpolation on patches
- Manifolds, tensor analysis, and applications.
- Semi-Lagrangian schemes for the Vlasov equation on an unstructured mesh of phase space
- Solving the Vlasov-Maxwell equations using Hamiltonian splitting
- Explicit \(K\)-symplectic algorithms for charged particle dynamics
- Finite element Hodge for spline discrete differential forms. Application to the Vlasov-Poisson system
- Asymptotically Stable Particle-In-Cell Methods for the Vlasov--Poisson System with a Strong External Magnetic Field
- Hamiltonian description of the ideal fluid
- Particle Methods for the One-Dimensional Vlasov–Poisson Equations
- Splitting methods
- Symplectic Geometric Algorithms for Hamiltonian Systems
- On the Convergence of Particle Methods for Multidimensional Vlasov–Poisson Systems
- Numerical methods for the Vlasov equation
- A Charge Preserving Scheme for the Numerical Resolution of the Vlasov-Ampère Equations
- The Vlasov--Poisson--Fokker--Planck System with Uncertainty and a One-dimensional Asymptotic Preserving Method
- On the Vlasov--Maxwell System with a Strong Magnetic Field
- Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
- Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction
- The Mathematical Theory of Finite Element Methods
- Geometric Numerical Integration
- Uniformly Accurate Multiscale Time Integrators for Highly Oscillatory Second Order Differential Equations
- Variational inequalities
- Conservative numerical schemes for the Vlasov equation
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