On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations

doi:10.1002/nla.2274

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	On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations
	Bai, Zhong-Zhi 1,2; Lu, Kang-Ya 3
	2020
发表期刊	NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
ISSN	1070-5325
卷号	27 期号:1 页码:21
摘要	The shifted finite-difference discretization of the one-dimensional almost-isotropic spatial fractional diffusion equation results in a discrete linear system whose coefficient matrix is a sum of two diagonal-times-Toeplitz matrices. For this kind of linear systems, we propose a class of regularized Hermitian splitting iteration methods and prove its asymptotic convergence under mild conditions. For appropriate circulant-based approximation to the corresponding regularized Hermitian splitting preconditioner, we demonstrate that the induced fast regularized Hermitian splitting preconditioner possesses a favorable preconditioning property. Numerical results show that, when used to precondition Krylov sub-space iteration methods such as generalized minimal residual and biconjugate gradient stabilized methods, the fast preconditioner significantly outperforms several existing ones.
关键词	convergence property matrix splitting iteration preconditioning spatial fractional diffusion equation
DOI	10.1002/nla.2274
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11671393] ; National Natural Science Foundation of China[11911530082]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000535359300005
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51546
专题	中国科学院数学与系统科学研究院
通讯作者	Bai, Zhong-Zhi
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, POB 2719, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 3.Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Bai, Zhong-Zhi,Lu, Kang-Ya. On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2020,27(1):21.
APA	Bai, Zhong-Zhi,&Lu, Kang-Ya.(2020).On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,27(1),21.
MLA	Bai, Zhong-Zhi,et al."On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 27.1(2020):21.