CONVERGENCE OF DZIUK'S FULLY DISCRETE LINEARLY IMPLICIT SCHEME FOR CURVE SHORTENING FLOW

doi:10.1137/21M1391626

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	CONVERGENCE OF DZIUK'S FULLY DISCRETE LINEARLY IMPLICIT SCHEME FOR CURVE SHORTENING FLOW
	Ye, Changqing 1,2; Cui, Junzhi 1
	2021
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	59 期号:6 页码:2823-2842
摘要	Convergence of Dziuk's fully discrete linearly implicit scheme which was proposed in [G. Dziuk, Math. Models Methods Appl. At., 4 (1994), pp. 589-606] for curve shortening flow still remains open. In this paper, we prove that this scheme has an optimal error estimate in the H-1-norm.
关键词	curve shortening flow fully discrete linearly implicit convergence error estimate
DOI	10.1137/21M1391626
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[51739007]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000748784400002
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59906
专题	中国科学院数学与系统科学研究院
通讯作者	Ye, Changqing
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
推荐引用方式 GB/T 7714	Ye, Changqing,Cui, Junzhi. CONVERGENCE OF DZIUK'S FULLY DISCRETE LINEARLY IMPLICIT SCHEME FOR CURVE SHORTENING FLOW[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2021,59(6):2823-2842.
APA	Ye, Changqing,&Cui, Junzhi.(2021).CONVERGENCE OF DZIUK'S FULLY DISCRETE LINEARLY IMPLICIT SCHEME FOR CURVE SHORTENING FLOW.SIAM JOURNAL ON NUMERICAL ANALYSIS,59(6),2823-2842.
MLA	Ye, Changqing,et al."CONVERGENCE OF DZIUK'S FULLY DISCRETE LINEARLY IMPLICIT SCHEME FOR CURVE SHORTENING FLOW".SIAM JOURNAL ON NUMERICAL ANALYSIS 59.6(2021):2823-2842.