南方科技大学知识苑(SUSTech KC): ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR PARABOLIC INTERFACE PROBLEMS WITH NONSMOOTH INITIAL DATA

题名	ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR PARABOLIC INTERFACE PROBLEMS WITH NONSMOOTH INITIAL DATA
作者	Wang，Kai1 ; Wang，Na 2
通讯作者	Wang，Kai
发表日期	2022
DOI	10.4208/jcm.2101-m2020-0075
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS 影响因子和分区
ISSN	0254-9409
EISSN	1991-7139
卷号	40 期号:5页码:781-797
摘要	This article concerns numerical approximation of a parabolic interface problem with general L-2 initial value. The problem is discretized by a finite element method with a quasi-uniform triangulation of the domain fitting the interface, with piecewise linear approximation to the interface. The semi-discrete finite element problem is furthermore discretized in time by the k-step backward difference formula with k = 1, ...,6. To maintain high-order convergence in time for possibly nonsmooth L-2 initial value, we modify the standard backward difference formula at the first k-1 time levels by using a method recently developed for fractional evolution equations. An error bound of O(t(n)(-k)tau(k)+ t(n)(-1)h(2)vertical bar log h vertical bar) is established for the fully discrete finite element method for general L-2 initial data.
关键词	Parabolic interface problem Finite element method Backward difference formulae Error estimate Nonsmooth initial data
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	第一 ; 通讯
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000819503800006
出版者	GLOBAL SCIENCE PRESS
ESI学科分类	MATHEMATICS
Scopus记录号	2-s2.0-85132757920
来源库	Web of Science
引用统计	被引频次[WOS]：0
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/352510
专题	理学院_数学系
作者单位	1.Department of Mathematics,Southern University of Science and Technology,Shenzhen,518005,China 2.Applied and Computational Mathematics Division,Beijing Computational Science Research Center,Beijing,100193,China
第一作者单位	数学系
通讯作者单位	数学系
第一作者的第一单位	数学系
推荐引用方式 GB/T 7714	Wang，Kai,Wang，Na. ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR PARABOLIC INTERFACE PROBLEMS WITH NONSMOOTH INITIAL DATA[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2022,40(5):781-797.
APA	Wang，Kai,&Wang，Na.(2022).ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR PARABOLIC INTERFACE PROBLEMS WITH NONSMOOTH INITIAL DATA.JOURNAL OF COMPUTATIONAL MATHEMATICS,40(5),781-797.
MLA	Wang，Kai,et al."ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR PARABOLIC INTERFACE PROBLEMS WITH NONSMOOTH INITIAL DATA".JOURNAL OF COMPUTATIONAL MATHEMATICS 40.5(2022):781-797.