Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods
文献类型：期刊论文
| 作者 | Hu, Qiya
|
| 刊名 | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
 |
| 出版日期 | 2008-11-01 |
| 卷号 | 1期号:4页码:383-409 |
| 关键词 | Green's formula generalized normal derivative domain decomposition nonmathing grids discontinuous Galerkin error estimates |
| ISSN号 | 1004-8979 |
| 英文摘要 | A class of normal-like derivatives for functions with low regularity defined on Lipschitz domains are introduced and studied. It is shown that the new normal-like derivatives, which are called the generalized normal derivatives, preserve the major properties of the existing standard normal derivatives. The generalized normal derivatives are then applied to analyze the convergence of domain decomposition methods (DDMs) with nonmatching grids and discontinuous Galerkin (DG) methods for second-order elliptic problems. The approximate solutions generated by these methods still possess the optimal energy-norm error estimates, even if the exact solutions to the underlying elliptic problems admit very low regularities. |
| 语种 | 英语 |
| WOS记录号 | WOS:000207474100002 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6508]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Hu, Qiya |
| 作者单位 | Chinese Acad Sci, LSEC, 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, Qiya. Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2008,1(4):383-409. |
| APA | Hu, Qiya.(2008).Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,1(4),383-409. |
| MLA | Hu, Qiya."Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 1.4(2008):383-409. |
入库方式： OAI收割
来源：数学与系统科学研究院
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