87 citations · 313 across the 7 of their papers we have counts for
7 papers
Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations
Anjiao Gu, Yang He, Yajuan Sun
In this paper, Particle-in-Cell algorithms for the Vlasov-Poisson system are presented based on its Poisson bracket structure. The Poisson equation is solved by finite element meth…
High order volume-preserving algorithms for relativistic charged particles in general electromagnetic fields
Yang He, Yajuan Sun, Ruili Zhang +3
We construct high order symmetric volume-preserving methods for the relativistic dynamics of a charged particle by the splitting technique with processing. Via expanding the phase…
Hamiltonian particle-in-cell methods for Vlasov-Maxwell equations
Yang He, Yajuan Sun, Hong Qin +1
In this paper, we develop Hamiltonian particle-in-cell methods for Vlasov-Maxwell equations by applying conforming finite element methods in space and splitting methods in time. Fo…
Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems
Jianyuan Xiao, Hong Qin, Jian Liu +3
Explicit high-order non-canonical symplectic particle-in-cell algorithms for classical particle-field systems governed by the Vlasov-Maxwell equations are developed. The algorithm…
Explicit non-canonical symplectic algorithms for charged particle dynamics
Yang He, Yajuan Sun, Zhaoqi Zhou +2
We study the non-canonical symplectic structure, or K-symplectic structure inherited by the charged particle dynamics. Based on the splitting technique, we construct non-canonical…
Hamiltonian integration methods for Vlasov-Maxwell equations
Yang He, Hong Qin, Yajuan Sun +3
Hamiltonian integration methods for the Vlasov-Maxwell equations are developed by a Hamiltonian splitting technique. The Hamiltonian functional is split into five parts, i.e., the…
Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov-Maxwell system
Hong Qin, Jian Liu, Jianyuan Xiao +7
Particle-in-Cell (PIC) simulation is the most important numerical tool in plasma physics. However, its long-term accuracy has not been established. To overcome this difficulty, we…