Multigrid methods for space fractional partial differential equations

doi:10.1016/j.jcp.2015.08.052

	Multigrid methods for space fractional partial differential equations
	Jiang, Yingjun 1; Xu, Xuejun2,3
	2015-12-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	302 页码:374-392
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.
关键词	Fractional differential equations Multigrid methods Optimal convergence
DOI	10.1016/j.jcp.2015.08.052
语种	英语
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
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000364256100021
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/21139
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.