Comment on "Hamiltonian splitting for the Vlasov-Maxwell equations"

Hong Qin; Yang He; Ruili Zhang; Jian Liu; Jianyuan Xiao; Yulei Wang

doi:10.1016/j.jcp.2015.04.056

Comment on "Hamiltonian splitting for the Vlasov-Maxwell equations"

Hong Qin
, Yang He
, Ruili Zhang
, Jian Liu
, Jianyuan Xiao
, Yulei Wang

PPPL Computational Science

Research output: Contribution to journal › Comment/debate › peer-review

16 Scopus citations

Abstract

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 the subsystems cannot be computed exactly in general. As a result, one cannot construct a symplectic scheme for the Vlasov-Maxwell equations using the splitting Hamiltonian method proposed in Ref. [1].

Original language	English (US)
Pages (from-to)	721-723
Number of pages	3
Journal	Journal of Computational Physics
Volume	297
DOIs	https://doi.org/10.1016/j.jcp.2015.04.056
State	Published - Sep 5 2015

All Science Journal Classification (ASJC) codes

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

Keywords

Poisson bracket
Splitting method
Symplectic integrator
Vlasov-Maxwell system

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10.1016/j.jcp.2015.04.056

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title = "Comment on {"}Hamiltonian splitting for the Vlasov-Maxwell equations{"}",

abstract = "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 the subsystems cannot be computed exactly in general. As a result, one cannot construct a symplectic scheme for the Vlasov-Maxwell equations using the splitting Hamiltonian method proposed in Ref. [1].",

keywords = "Poisson bracket, Splitting method, Symplectic integrator, Vlasov-Maxwell system",

author = "Hong Qin and Yang He and Ruili Zhang and Jian Liu and Jianyuan Xiao and Yulei Wang",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

month = sep,

day = "5",

doi = "10.1016/j.jcp.2015.04.056",

language = "English (US)",

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TY - JOUR

T1 - Comment on "Hamiltonian splitting for the Vlasov-Maxwell equations"

AU - Qin, Hong

AU - He, Yang

AU - Zhang, Ruili

AU - Liu, Jian

AU - Xiao, Jianyuan

AU - Wang, Yulei

PY - 2015/9/5

Y1 - 2015/9/5

N2 - 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 the subsystems cannot be computed exactly in general. As a result, one cannot construct a symplectic scheme for the Vlasov-Maxwell equations using the splitting Hamiltonian method proposed in Ref. [1].

AB - 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 the subsystems cannot be computed exactly in general. As a result, one cannot construct a symplectic scheme for the Vlasov-Maxwell equations using the splitting Hamiltonian method proposed in Ref. [1].

KW - Poisson bracket

KW - Splitting method

KW - Symplectic integrator

KW - Vlasov-Maxwell system

UR - https://www.scopus.com/pages/publications/84934436694

UR - https://www.scopus.com/pages/publications/84934436694#tab=citedBy

U2 - 10.1016/j.jcp.2015.04.056

DO - 10.1016/j.jcp.2015.04.056

M3 - Comment/debate

AN - SCOPUS:84934436694

SN - 0021-9991

VL - 297

SP - 721

EP - 723

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

Comment on "Hamiltonian splitting for the Vlasov-Maxwell equations"

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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