CSpace  > 计算数学与科学工程计算研究所
SUBSTRUCTURING PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS
Hu, Qiya; Zhang, Haiyang
2016
Source PublicationSIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN1064-8275
Volume38Issue:4Pages:A2232-A2261
AbstractIn this paper we are concerned with the plane wave methods for Helmholtz equations with large wave numbers. We extend the plane wave weighted least-squares (PWLS) method and the plane wave discontinuous Galerkin (PWDG) method to Helmholtz equations in inhomogeneous mediums and with mixed boundary conditions. The main goal of this paper is to construct parallel preconditioners for solving the resulting discrete systems. To this end, we design a kind of substructuring domain decomposition preconditioner for both the two-dimensional case and the three-dimensional case, which is different from the existing substructuring preconditioners. We apply the proposed preconditioner to solve the Helmholtz systems generated by the PWLS method or the PWDG method, and we find that the new preconditioners with practical coarse mesh sizes possess relatively stable convergence, i.e., the iteration counts of the corresponding iterative methods (PCG or preconditioned GMRES) increase slowly when the wave number increases (and the mesh size decreases).
KeywordHelmholtz equation large wave number plane wave discretization nonoverlapping domain decomposition parallel preconditioner iteration counts
DOI10.1137/151003040
Language英语
Funding ProjectNatural Science Foundation of China[G11571352]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000385283400014
PublisherSIAM PUBLICATIONS
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/23762
Collection计算数学与科学工程计算研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Hu, Qiya,Zhang, Haiyang. SUBSTRUCTURING PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2016,38(4):A2232-A2261.
APA Hu, Qiya,&Zhang, Haiyang.(2016).SUBSTRUCTURING PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS.SIAM JOURNAL ON SCIENTIFIC COMPUTING,38(4),A2232-A2261.
MLA Hu, Qiya,et al."SUBSTRUCTURING PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS".SIAM JOURNAL ON SCIENTIFIC COMPUTING 38.4(2016):A2232-A2261.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Hu, Qiya]'s Articles
[Zhang, Haiyang]'s Articles
Baidu academic
Similar articles in Baidu academic
[Hu, Qiya]'s Articles
[Zhang, Haiyang]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Hu, Qiya]'s Articles
[Zhang, Haiyang]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.