A regularized domain decomposition method with Lagrange multiplier
文献类型：期刊论文
| 作者 | Hu, Qiya
|
| 刊名 | ADVANCES IN COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2007-05-01 |
| 卷号 | 26期号:4页码:367-401 |
| 关键词 | domain decomposition nonmatching grids mortar element Lagrange multipliers regularization interface equation preconditioner condition number |
| ISSN号 | 1019-7168 |
| DOI | 10.1007/s10444-004-4094-4 |
| 英文摘要 | In this paper, we are concerned with the nonoverlapping domain decomposition method with Lagrange multiplier for three-dimensional second-order elliptic problems with no zeroth-order term. It is known that the methods result in a singular subproblem on each internal (floating) subdomain. To handle the singularity, we propose a regularization technique which transforms the corresponding singular problems into approximate positive definite problems. For the regularized method, one can build the interface equation of the multiplier directly. We first derive an optimal error estimate of the regularized approximation, and then develop a cheap preconditioned iterative method for solving the interface equation. For the new method, the cost of computation will not be increased comparing the case without any floating subdomain. The effectiveness of the new method will be confirmed by both theoretical analyzes and numerical experiments. |
| 语种 | 英语 |
| WOS记录号 | WOS:000245007600001 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4375]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 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, Qiya. A regularized domain decomposition method with Lagrange multiplier[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2007,26(4):367-401. |
| APA | Hu, Qiya.(2007).A regularized domain decomposition method with Lagrange multiplier.ADVANCES IN COMPUTATIONAL MATHEMATICS,26(4),367-401. |
| MLA | Hu, Qiya."A regularized domain decomposition method with Lagrange multiplier".ADVANCES IN COMPUTATIONAL MATHEMATICS 26.4(2007):367-401. |
入库方式： OAI收割
来源：数学与系统科学研究院
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