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
Source Publication	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
Volume	59 Issue:6 Pages:2823-2842
Abstract	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.
Keyword	curve shortening flow fully discrete linearly implicit convergence error estimate
DOI	10.1137/21M1391626
Indexed By	SCI
Language	英语
Funding Project	National Natural Science Foundation of China[51739007]
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000748784400002
Publisher	SIAM PUBLICATIONS
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/59906
Collection	中国科学院数学与系统科学研究院
Corresponding Author	Ye, Changqing
Affiliation	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
Recommended Citation 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.

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