Domain decomposition methods for space fractional partial differential equations

doi:10.1016/j.jcp.2017.08.066

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

	Domain decomposition methods for space fractional partial differential equations
	Jiang, Yingjun 1; Xu, Xuejun2,3
刊名	JOURNAL OF COMPUTATIONAL PHYSICS
	2017-12-01
卷号	350 页码:573-589
关键词	Fractional differential equations Overlapping domain decompositions Preconditioners
ISSN号	0021-9991
DOI	10.1016/j.jcp.2017.08.066
英文摘要	A two-level additive Schwarz preconditioner is proposed for solving the algebraic systems resulting from the finite element approximations of space fractional partial differential equations (SFPDEs). It is shown that the condition number of the preconditioned system is bounded by C(1 + H/delta), where H is the maximum diameter of subdomains and 8 is the overlap size among the subdomains. Numerical results are given to support our theoretical findings. (C) 2017 Elsevier Inc. All rights reserved.
资助项目	National Natural Science Foundation of China[11571053] ; National Natural Science Foundation of China[51239001] ; National Natural Science Foundation of China[91647118] ; National Natural Science Foundation of China[11671302] ; Hunan Provincial Natural Science Foundation of China[13JJ1020]
WOS研究方向	Computer Science ; Physics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000413379000028
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/26793]
专题	计算数学与科学工程计算研究所
通讯作者	Jiang, Yingjun
作者单位	1.Changsha Univ Sci & Technol, Dept Math & Sci Comp, Changsha 410076, Hunan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China 3.Tongji Univ, Sch Math Sci, Shanghai, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Yingjun,Xu, Xuejun. Domain decomposition methods for space fractional partial differential equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2017,350:573-589.
APA	Jiang, Yingjun,&Xu, Xuejun.(2017).Domain decomposition methods for space fractional partial differential equations.JOURNAL OF COMPUTATIONAL PHYSICS,350,573-589.
MLA	Jiang, Yingjun,et al."Domain decomposition methods for space fractional partial differential equations".JOURNAL OF COMPUTATIONAL PHYSICS 350(2017):573-589.