Spectral Analysis, Properties and Nonsingular Preconditioners for Singular Saddle Point Problems
文献类型：期刊论文
| 作者 | Huang, Na1; Ma, Chang-Feng2,3; Zou, Jun4 |
| 刊名 | COMPUTATIONAL METHODS IN APPLIED MATHEMATICS
 |
| 出版日期 | 2018-04-01 |
| 卷号 | 18期号:2页码:237-256 |
| 关键词 | Singular Saddle Point Problems Preconditioners Spectral Estimates |
| ISSN号 | 1609-4840 |
| DOI | 10.1515/cmam-2017-0006 |
| 英文摘要 | We first derive some explicit bounds on the spectra of generalized non-symmetric singular or non-singular saddle point matrices. Then we propose two new nonsingular preconditioners for solving generalized singular saddle point problems, and show that GMRES determines a solution without breakdown when applied to the resulting preconditioned systems with any initial guess. Furthermore, the detailed spectral properties of the preconditioned systems are analyzed. The nonsingular preconditioners are also applied to solve the singular finite element saddle point systems arising from the discretization of the Stokes problems to test their performance. |
| 资助项目 | National Postdoctoral Program for Innovative Talents[BX201600182] ; China Postdoctoral Science Foundation[2016M600141] ; CUHK ; National Natural Science Foundation of China[11071041] ; Fujian Natural Science Foundation[2016J01005] ; Hong Kong RGC grant[14306814] ; National Natural Science Foundation (NSFC)/Research Grants Council (RGC) Joint Research Scheme[N_CUHK437/16] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000428185200006 |
| 出版者 | WALTER DE GRUYTER GMBH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30091]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zou, Jun |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China 3.Fujian Normal Univ, FJKLMAA, Fuzhou 350007, Fujian, Peoples R China 4.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Na,Ma, Chang-Feng,Zou, Jun. Spectral Analysis, Properties and Nonsingular Preconditioners for Singular Saddle Point Problems[J]. COMPUTATIONAL METHODS IN APPLIED MATHEMATICS,2018,18(2):237-256. |
| APA | Huang, Na,Ma, Chang-Feng,&Zou, Jun.(2018).Spectral Analysis, Properties and Nonsingular Preconditioners for Singular Saddle Point Problems.COMPUTATIONAL METHODS IN APPLIED MATHEMATICS,18(2),237-256. |
| MLA | Huang, Na,et al."Spectral Analysis, Properties and Nonsingular Preconditioners for Singular Saddle Point Problems".COMPUTATIONAL METHODS IN APPLIED MATHEMATICS 18.2(2018):237-256. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。