Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation

doi:10.1016/j.apnum.2018.01.004

	Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation
	Hong, Jialin1,2 ; Ji, Lihai 3; Liu, Zhihui 4
	2018-05-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	127 页码:164-178
摘要	In this paper, we propose a conservative local discontinuous Galerkin method for a one-dimensional nonlinear Schrodinger equation. By using special generalized alternating numerical fluxes, we establish the optimal rate of convergence O(h(k+1)), with polynomial of degree k and grid size h. Meanwhile, we show that this method preserves the charge conservation law. Numerical experiments verify our theoretical result. (C) 2018 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	Nonlinear Schrodinger equation Optimal error estimates Charge conservation law Local discontinuous Galerkin method Generalized alternating numerical flux
DOI	10.1016/j.apnum.2018.01.004
语种	英语
资助项目	National Natural Science Foundation of China[11601032] ; National Natural Science Foundation of China[91630312] ; National Natural Science Foundation of China[91530118] ; National Natural Science Foundation of China[11471310] ; National Natural Science Foundation of China[11290142]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000425566900010
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29659
专题	计算数学与科学工程计算研究所
通讯作者	Liu, Zhihui
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Hong, Jialin,Ji, Lihai,Liu, Zhihui. Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation[J]. APPLIED NUMERICAL MATHEMATICS,2018,127:164-178.
APA	Hong, Jialin,Ji, Lihai,&Liu, Zhihui.(2018).Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation.APPLIED NUMERICAL MATHEMATICS,127,164-178.
MLA	Hong, Jialin,et al."Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation".APPLIED NUMERICAL MATHEMATICS 127(2018):164-178.