KMS Of Academy of mathematics and systems sciences, CAS
| Domain decomposition methods for space fractional partial differential equations | |
Jiang, Yingjun1; Xu, Xuejun2,3
| |
| 2017-12-01 | |
| Source Publication | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| ISSN | 0021-9991 |
| Volume | 350Pages:573-589 |
| Abstract | 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. |
| Keyword | Fractional differential equations Overlapping domain decompositions Preconditioners |
| DOI | 10.1016/j.jcp.2017.08.066 |
| Language | 英语 |
| Funding Project | 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 Research Area | Computer Science ; Physics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| WOS ID | WOS:000413379000028 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/26794 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Jiang, Yingjun |
| Affiliation | 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 |
| Recommended Citation 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. |
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