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Domain decomposition methods for space fractional partial differential equations

文献类型：期刊论文

作者Jiang, Yingjun1; Xu, Xuejun2,3
刊名JOURNAL OF COMPUTATIONAL PHYSICS
出版日期2017-12-01
卷号350页码:573-589
关键词Fractional differential equations Overlapping domain decompositions Preconditioners
ISSN号0021-9991
DOI10.1016/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
WOS记录号WOS:000413379000028
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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