INEXACT SOLVERS FOR SADDLE-POINT SYSTEM ARISING FROM DOMAIN DECOMPOSITION OF LINEAR ELASTICITY PROBLEMS IN THREE DIMENSIONS
文献类型：期刊论文
| 作者 | Chen, Xingding1; Hu, Qiya2
|
| 刊名 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
 |
| 出版日期 | 2011 |
| 卷号 | 8期号:1页码:156-173 |
| 关键词 | Domain decomposition geometrically non-conforming Lagrange multiplier saddle-point system preconditioners condition number |
| ISSN号 | 1705-5105 |
| 英文摘要 | In this paper, we propose a domain decomposition method with Lagrange multipliers for three-dimensional linear elasticity, based on geometrically non-conforming subdomain partitions. Some appropriate multiplier spaces are presented to deal with the geometrically non-conforming partitions, resulting in a discrete saddle-point system. An augmented technique is introduced, such that the resulting new saddle-point system can be solved by the existing iterative methods. Two simple inexact preconditioners are constructed for the saddle-point system, one for the displacement variable, and the other for the Schur complement associated with the multiplier variable. It is shown that the global preconditioned system has a nearly optimal condition number, which is independent of the large variations of the material parameters across the local interfaces. |
| 资助项目 | Natural Science Foundation of China[G11031006] ; Natural Science Foundation of China[G10771178] ; National Basic Research Program of China[G2011309702] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000285650400009 |
| 出版者 | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11939]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Chen, Xingding |
| 作者单位 | 1.Beijing Technol & Business Univ, Coll Comp & Informat Engn, Dept Appl Math, Beijing 100048, Peoples R China 2.CAS, LSEC, Inst Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Xingding,Hu, Qiya. INEXACT SOLVERS FOR SADDLE-POINT SYSTEM ARISING FROM DOMAIN DECOMPOSITION OF LINEAR ELASTICITY PROBLEMS IN THREE DIMENSIONS[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2011,8(1):156-173. |
| APA | Chen, Xingding,&Hu, Qiya.(2011).INEXACT SOLVERS FOR SADDLE-POINT SYSTEM ARISING FROM DOMAIN DECOMPOSITION OF LINEAR ELASTICITY PROBLEMS IN THREE DIMENSIONS.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,8(1),156-173. |
| MLA | Chen, Xingding,et al."INEXACT SOLVERS FOR SADDLE-POINT SYSTEM ARISING FROM DOMAIN DECOMPOSITION OF LINEAR ELASTICITY PROBLEMS IN THREE DIMENSIONS".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 8.1(2011):156-173. |
入库方式： OAI收割
来源：数学与系统科学研究院
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