Substructuring preconditioners for saddle-point problems arising from Maxwell's equations in three dimensions
文献类型：期刊论文
| 作者 | Hu, QY ; Zou, J
|
| 刊名 | MATHEMATICS OF COMPUTATION
 |
| 出版日期 | 2004 |
| 卷号 | 73期号:245页码:35-61 |
| 关键词 | Maxwell's equations Nedelec finite elements nonoverlapping domain decomposition condition numbers |
| ISSN号 | 0025-5718 |
| 英文摘要 | This paper is concerned with the saddle-point problems arising from edge element discretizations of Maxwell's equations in a general three dimensional nonconvex polyhedral domain. A new augmented technique is first introduced to transform the problems into equivalent augmented saddle-point systems so that they can be solved by some existing preconditioned iterative methods. Then some substructuring preconditioners are proposed, with very simple coarse solvers, for the augmented saddle-point systems. With the preconditioners, the condition numbers of the preconditioned systems are nearly optimal; namely, they grow only as the logarithm of the ratio between the subdomain diameter and the finite element mesh size. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000185850600003 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/653]  |
| 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 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, QY,Zou, J. Substructuring preconditioners for saddle-point problems arising from Maxwell's equations in three dimensions[J]. MATHEMATICS OF COMPUTATION,2004,73(245):35-61. |
| APA | Hu, QY,&Zou, J.(2004).Substructuring preconditioners for saddle-point problems arising from Maxwell's equations in three dimensions.MATHEMATICS OF COMPUTATION,73(245),35-61. |
| MLA | Hu, QY,et al."Substructuring preconditioners for saddle-point problems arising from Maxwell's equations in three dimensions".MATHEMATICS OF COMPUTATION 73.245(2004):35-61. |
入库方式： OAI收割
来源：数学与系统科学研究院
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