Preconditioning Poincare-Steklov operators arising from domain decompositions with mortar multipliers
文献类型：期刊论文
| 作者 | Hu, QY
|
| 刊名 | IMA JOURNAL OF NUMERICAL ANALYSIS
 |
| 出版日期 | 2004-10-01 |
| 卷号 | 24期号:4页码:643-669 |
| 关键词 | domain decomposition non-matching grids mortar multiplier Poincare-Steklov operator inexact solver preconditioner condition number |
| ISSN号 | 0272-4979 |
| 英文摘要 | In this paper, we are concerned with the non-overlapping domain decomposition method with non-matching grids for three-dimensional elliptic equations. For this method, the interface variable is chosen as the mortar multiplier. We first develop a class of inexact solvers for the interface Poincare-Steklov operator associated with such a domain decomposition. Then we use the inexact solver to construct a new preconditioner for the interface problem arising from the Finite Element Tearing and Interconnecting method. It will be shown that the condition number of the preconditioned system grows only as the logarithm of the dimension of the local problem associated with an individual substructure, and is independent of possible jumps of the coefficient in the elliptic equation. |
| 语种 | 英语 |
| WOS记录号 | WOS:000224206700007 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/993]  |
| 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, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, QY. Preconditioning Poincare-Steklov operators arising from domain decompositions with mortar multipliers[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2004,24(4):643-669. |
| APA | Hu, QY.(2004).Preconditioning Poincare-Steklov operators arising from domain decompositions with mortar multipliers.IMA JOURNAL OF NUMERICAL ANALYSIS,24(4),643-669. |
| MLA | Hu, QY."Preconditioning Poincare-Steklov operators arising from domain decompositions with mortar multipliers".IMA JOURNAL OF NUMERICAL ANALYSIS 24.4(2004):643-669. |
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。