A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation

doi:10.1007/s10915-019-01015-z

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation
	Lu, Peipei 1; Xu, Xuejun2,3
刊名	JOURNAL OF SCIENTIFIC COMPUTING
	2019-10-01
卷号	81 期号:1 页码:291-311
关键词	Multilevel method Helmholtz equation High wave number Continuous interior penalty finite element method GMRES method Overlapping domain decomposition method
ISSN号	0885-7474
DOI	10.1007/s10915-019-01015-z
英文摘要	In this paper, we present a robust multilevel preconditioner for the algebraic system resulting from the continuous interior penalty finite element method for the approximation of the Helmholtz equation. The key idea in this work is the replacement of traditional smoothers by the one level overlapping domain decomposition method on coarse grids. The proposed multilevel method then serves as a preconditioner in the outer GMRES iteration. Numerical results show that for fixed wave numbers, the convergence of our multilevel method is independent of the mesh size. Furthermore, the performance of the algorithm depends relatively mildly on the wave number.
资助项目	National Natural Science Foundation of China[11671302] ; National Natural Science Foundation of China[11871272]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER/PLENUM PUBLISHERS
WOS记录号	WOS:000485319000014
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/33317]
专题	计算数学与科学工程计算研究所
通讯作者	Lu, Peipei
作者单位	1.Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, POB 2719, Beijing 100190, Peoples R China 3.Tongji Univ, Sch Math Sci, Shanghai 200442, Peoples R China
推荐引用方式 GB/T 7714	Lu, Peipei,Xu, Xuejun. A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation[J]. JOURNAL OF SCIENTIFIC COMPUTING,2019,81(1):291-311.
APA	Lu, Peipei,&Xu, Xuejun.(2019).A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation.JOURNAL OF SCIENTIFIC COMPUTING,81(1),291-311.
MLA	Lu, Peipei,et al."A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation".JOURNAL OF SCIENTIFIC COMPUTING 81.1(2019):291-311.