Efficient solvers for saddle-point problems arising from domain decompositions with Lagrange multipliers
文献类型：期刊论文
| 作者 | Hu, QY ; Shi, ZC; Yu, DH
|
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2004 |
| 卷号 | 42期号:3页码:905-933 |
| 关键词 | domain decomposition nonmatching grids mortar element Lagrange multiplier weighted saddle-point problem preconditioner condition number |
| ISSN号 | 0036-1429 |
| DOI | 10.1137/S0036142902404108 |
| 英文摘要 | In this paper, we are concerned with the domain decomposition method with Lagrange multipliers for solving three-dimensional elliptic problems with variable coefficients. We shall first introduce a weighted saddle-point problem resulting from this domain decomposition, which can be solved by existing iterative methods. Then we will construct two simple preconditioners, one for the system associated with the displacement variable and the other for the Schur complement system associated with the multiplier variable, that are applicable to various discretization schemes. The new preconditioners possess such local properties that they can be implemented cheaply. We will show that the condition number of the global preconditioned system grows only as the logarithm of the dimension of the local problem associated with an individual substructure and is independent of the large variations of the coefficients across the local interfaces. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000225887500001 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19510]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Hu, QY |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, QY,Shi, ZC,Yu, DH. Efficient solvers for saddle-point problems arising from domain decompositions with Lagrange multipliers[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2004,42(3):905-933. |
| APA | Hu, QY,Shi, ZC,&Yu, DH.(2004).Efficient solvers for saddle-point problems arising from domain decompositions with Lagrange multipliers.SIAM JOURNAL ON NUMERICAL ANALYSIS,42(3),905-933. |
| MLA | Hu, QY,et al."Efficient solvers for saddle-point problems arising from domain decompositions with Lagrange multipliers".SIAM JOURNAL ON NUMERICAL ANALYSIS 42.3(2004):905-933. |
入库方式： OAI收割
来源：数学与系统科学研究院
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