The mortar element method for a nonlinear biharmonic equation
文献类型：期刊论文
| 作者 | Shi, ZC ; Xu, XJ
|
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2005-09-01 |
| 卷号 | 23期号:5页码:537-560 |
| 关键词 | mortar method nonlinear biharmonic equation H-1-norm error energy norm error |
| ISSN号 | 0254-9409 |
| 英文摘要 | The mortar element method is a new domain decomposition method(DDM) with nonover-lapping subdomains. It can handle the situation where the mesh on different subdomains need not align across interfaces, and the matching of discretizations on adjacent subdomains is only enforced weakly. But until now there has been very little work for nonlinear PDEs. In this paper, we will present a mortar-type Morley element method for a nonlinear biharmonic equation which is related to the well-known Navier-Stokes equation. Optimal energy and H-1-norm estimates are obtained under a reasonable elliptic regularity assumption. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000232012900008 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1503]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Shi, ZC |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shi, ZC,Xu, XJ. The mortar element method for a nonlinear biharmonic equation[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2005,23(5):537-560. |
| APA | Shi, ZC,&Xu, XJ.(2005).The mortar element method for a nonlinear biharmonic equation.JOURNAL OF COMPUTATIONAL MATHEMATICS,23(5),537-560. |
| MLA | Shi, ZC,et al."The mortar element method for a nonlinear biharmonic equation".JOURNAL OF COMPUTATIONAL MATHEMATICS 23.5(2005):537-560. |
入库方式： OAI收割
来源：数学与系统科学研究院
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