Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs

doi:10.1016/j.jcp.2016.11.023

	Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs
	Tang, Wensheng 1; Sun, Yajuan2,3 ; Cai, Wenjun 4
	2017-02-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	330 页码:340-364
摘要	In this article, we present a unified framework of discontinuous Galerkin (DG) discretizadons for Hamiltonian ODEs and PDEs. We show that with appropriate numerical fluxes the numerical algorithms deduced from DG discretizations can be combined with the symplectic methods in time to derive the multi-symplectic PRK schemes. The resulting numerical discretizations are applied to the linear and nonlinear Schrodinger equations. Some conservative properties of the numerical schemes are investigated and confirmed in the numerical experiments. (C) 2016 Elsevier Inc. All rights reserved.
关键词	Discontinuous Galerkin method Hamiltonian systems Continuous-stage PRK method Symplectic PRK scheme Multi-symplectic PRK scheme Conservation laws
DOI	10.1016/j.jcp.2016.11.023
语种	英语
资助项目	Foundation of the NNSFC[11401055] ; Foundation of the NNSFC[11271357] ; Foundation of Education Department of Hunan Province[15C0028] ; Foundation for Innovative Research Groups of the NNSFC[11321061] ; ITER-China Program[2014GB124005]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000394408900019
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24734
专题	计算数学与科学工程计算研究所
通讯作者	Sun, Yajuan
作者单位	1.Changsha Univ Sci & Technol, Coll Math & Stat, Changsha 410114, Hunan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Lab Computat Geodynam, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Tang, Wensheng,Sun, Yajuan,Cai, Wenjun. Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2017,330:340-364.
APA	Tang, Wensheng,Sun, Yajuan,&Cai, Wenjun.(2017).Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs.JOURNAL OF COMPUTATIONAL PHYSICS,330,340-364.
MLA	Tang, Wensheng,et al."Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs".JOURNAL OF COMPUTATIONAL PHYSICS 330(2017):340-364.