On the eigenvalues of the saddle point matrices discretized from Navier-Stokes equations
文献类型：期刊论文
| 作者 | Huang, Na1,2; Ma, Chang-Feng1 |
| 刊名 | NUMERICAL ALGORITHMS
 |
| 出版日期 | 2018-09-01 |
| 卷号 | 79期号:1页码:41-64 |
| 关键词 | Navier-Stokes equations Saddle point problem Spectral estimates Preconditioner Nonsymmetric |
| ISSN号 | 1017-1398 |
| DOI | 10.1007/s11075-017-0427-5 |
| 英文摘要 | In this paper, we study the spectral distributions of the saddle point matrices arising from the discretization and linearization of the Navier-Stokes equations, where the (1,1) block is nonsymmetric positive definite. In this paper, we derive the lower and upper bounds of the real and imaginary parts of all the eigenvalues of the saddle point matrices. We then propose a new class of block triangle preconditioners for solving the saddle point problems, and analyze the spectral properties of the preconditioned systems. Some numerical experiments with the preconditioned restarted generalized minimal residual method are reported to demonstrate the effectiveness and feasibility of these block triangle preconditioners. |
| 资助项目 | National Postdoctoral Program for Innovative Talents[BX201600182] ; China Postdoctoral Science Foundation[2016M600141] ; Fujian Natural Science Foundation[2016J01005] ; Fujian Natural Science Foundation[2015J01578] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000442612400003 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31116]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ma, Chang-Feng |
| 作者单位 | 1.Fujian Normal Univ, Fujian Key Lab Math Anal & Applicat, Coll Math & Informat, Fuzhou 350117, Fujian, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Na,Ma, Chang-Feng. On the eigenvalues of the saddle point matrices discretized from Navier-Stokes equations[J]. NUMERICAL ALGORITHMS,2018,79(1):41-64. |
| APA | Huang, Na,&Ma, Chang-Feng.(2018).On the eigenvalues of the saddle point matrices discretized from Navier-Stokes equations.NUMERICAL ALGORITHMS,79(1),41-64. |
| MLA | Huang, Na,et al."On the eigenvalues of the saddle point matrices discretized from Navier-Stokes equations".NUMERICAL ALGORITHMS 79.1(2018):41-64. |
入库方式： OAI收割
来源：数学与系统科学研究院
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