Domain decomposition methods for space fractional partial differential equations

doi:10.1016/j.jcp.2017.08.066

	Domain decomposition methods for space fractional partial differential equations
	Jiang, Yingjun 1; Xu, Xuejun2,3
	2017-12-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	350 页码:573-589
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.
关键词	Fractional differential equations Overlapping domain decompositions Preconditioners
DOI	10.1016/j.jcp.2017.08.066
语种	英语
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
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000413379000028
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26794
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.