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

doi:10.1016/j.apnum.2018.01.004

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation
	Hong, Jialin1,2 ; Ji, Lihai 3; Liu, Zhihui 4
刊名	APPLIED NUMERICAL MATHEMATICS
	2018-05-01
卷号	127 页码:164-178
关键词	Nonlinear Schrodinger equation Optimal error estimates Charge conservation law Local discontinuous Galerkin method Generalized alternating numerical flux
ISSN号	0168-9274
DOI	10.1016/j.apnum.2018.01.004
英文摘要	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.
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
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000425566900010
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/29658]
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.