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Multigrid 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2015-12-01
卷号302页码:374-392
关键词Fractional differential equations Multigrid methods Optimal convergence
ISSN号0021-9991
DOI10.1016/j.jcp.2015.08.052
英文摘要We propose some multigrid methods for solving the algebraic systems resulting from finite element approximations of space fractional partial differential equations (SFPDEs). It is shown that our multigrid methods are optimal, which means the convergence rates of the methods are independent of the mesh size and mesh level, Moreover, our theoretical analysis and convergence results do not require regularity assumptions of the model problems. Numerical results are given to support our theoretical findings. (C) 2015 Elsevier Inc. All rights reserved.
资助项目National Natural Science Foundation of China[11571053] ; National Natural Science Foundation of China[11171335] ; National Natural Science Foundation of China[11225107] ; Hunan Provincial Natural Science Foundation of China[13JJ1020] ; National Basic Research Program[2011CB30971]
WOS研究方向Computer Science ; Physics
语种英语
WOS记录号WOS:000364256100021
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21138]  
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 & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
3.Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
推荐引用方式
GB/T 7714		 Jiang, Yingjun,Xu, Xuejun. Multigrid methods for space fractional partial differential equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2015,302:374-392.
APA Jiang, Yingjun,&Xu, Xuejun.(2015).Multigrid methods for space fractional partial differential equations.JOURNAL OF COMPUTATIONAL PHYSICS,302,374-392.
MLA Jiang, Yingjun,et al."Multigrid methods for space fractional partial differential equations".JOURNAL OF COMPUTATIONAL PHYSICS 302(2015):374-392.

入库方式： OAI收割

来源：数学与系统科学研究院

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