87 citations · 466 across the 13 of their papers we have counts for
13 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 Explicit Lorentz Invariant Volume-preserving Algorithms for Relativistic Dynamics of Charged Particles
Yulei Wang, Jian Liu, Yang He
Lorentz invariant structure-preserving algorithms possess reference-independent secular stability, which is vital for simulating relativistic multi-scale dynamical processes. The s…
Canonical symplectic structure and structure-preserving geometric algorithms for Schrödinger-Maxwell systems
Qiang Chen, Hong Qin, Jian Liu +4
An infinite dimensional canonical symplectic structure and structure-preserving geometric algorithms are developed for the photon-matter interactions described by the Schrödinger-M…
Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field
Ruili Zhang, Yulei Wang, Yang He +4
Relativistic dynamics of a charged particle in time-dependent electromagnetic fields has theoretical significance and a wide range of applications. It is often multi-scale and requ…
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…
Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems
Jianyuan Xiao, Hong Qin, Philip J. Morrison +4
An explicit high-order noncanonical symplectic algorithm for ideal two-fluid systems is developed. The fluid is discretized as particles in the Lagrangian description, while the el…
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 symplectic algorithms based on generating functions for charged particle dynamics
Ruili Zhang, Hong Qin, Yifa Tang +3
Dynamics of a charged particle in the canonical coordinates is a Hamiltonian system, and the well-known symplectic algorithm has been regarded as the de facto method for numerical…
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…
Comment on "Hamiltonian splitting for the Vlasov-Maxwell equations"
Hong Qin, Yang He, Ruili Zhang +3
The paper [1] by Crouseilles, Einkemmer, and Faou used an incorrect Poisson bracket for the Vlasov-Maxwell equations. If the correct Poisson bracket is used, the solution of one of…
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…