A MULTISCALE PARALLEL ALGORITHM FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATION IN COMPOSITE MEDIA

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	A MULTISCALE PARALLEL ALGORITHM FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATION IN COMPOSITE MEDIA
	Zhai, Fangman 1; Cao, Liqun 2
	2022
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	19 期号:4 页码:542-562
摘要	This paper studies the multiscale algorithm for parabolic integro-differential equations in composite media combining with Laplace transformation. The new contributions reported in this study are threefold: the convergence estimates with an explicit rate for the multiscale solutions of the equations in general domains are proved, the boundary layer solution is defined and the multiscale finite element algorithm which is suitable for parallel computation is presented. Numerical simulations are then carried out to validate the theoretical results.
关键词	Parabolic integro-differential equation the multiscale asymptotic method Laplace transformation composite media
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11226310] ; National Natural Science Foundation of China[11971030]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000820772200005
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61188
专题	中国科学院数学与系统科学研究院
通讯作者	Zhai, Fangman
作者单位	1.Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China 2.Chinese Acad Sci, Univ Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp,LSEC,NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhai, Fangman,Cao, Liqun. A MULTISCALE PARALLEL ALGORITHM FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATION IN COMPOSITE MEDIA[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2022,19(4):542-562.
APA	Zhai, Fangman,&Cao, Liqun.(2022).A MULTISCALE PARALLEL ALGORITHM FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATION IN COMPOSITE MEDIA.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,19(4),542-562.
MLA	Zhai, Fangman,et al."A MULTISCALE PARALLEL ALGORITHM FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATION IN COMPOSITE MEDIA".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 19.4(2022):542-562.