On the velocity-pressure-vorticity least-squares mixed finite element method for the 3D Stokes equations
文献类型：期刊论文
| 作者 | Duan, HY; Liang, GP |
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2003 |
| 卷号 | 41期号:6页码:2114-2130 |
| 关键词 | Stokes equation velocity-pressure-vorticity least-squares mixed finite element method Aubin-Nitsche duality argument |
| ISSN号 | 0036-1429 |
| DOI | 10.1137/S0036142901399604 |
| 英文摘要 | This paper provides a new strict mathematical analysis for the velocity-pressure-vorticity least-squares methods (i.e., the standard linear element method and the Bochev-Gunzburger method) for the 3D Stokes problem with homogeneous velocity boundary condition. The analysis shows that, in general, the divergence of the vorticity does not affect the coerciveness and the accuracy. This admits the use of the edge element for the vorticity to reduce the number of whole unknowns. Moreover, the analysis also shows that, in the standard linear element method, the L-2 error bound for the velocity is O(h(3/2)) generally. Numerical examples are presented. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000188247500006 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18679]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Duan, HY |
| 作者单位 | Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Duan, HY,Liang, GP. On the velocity-pressure-vorticity least-squares mixed finite element method for the 3D Stokes equations[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2003,41(6):2114-2130. |
| APA | Duan, HY,&Liang, GP.(2003).On the velocity-pressure-vorticity least-squares mixed finite element method for the 3D Stokes equations.SIAM JOURNAL ON NUMERICAL ANALYSIS,41(6),2114-2130. |
| MLA | Duan, HY,et al."On the velocity-pressure-vorticity least-squares mixed finite element method for the 3D Stokes equations".SIAM JOURNAL ON NUMERICAL ANALYSIS 41.6(2003):2114-2130. |
入库方式： OAI收割
来源：数学与系统科学研究院
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