A STABILIZED EQUAL-ORDER FINITE VOLUME METHOD FOR THE STOKES EQUATIONS
文献类型：期刊论文
| 作者 | Tian Wanfu1; Song Liqiu2; Li Yonghai3 |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2012 |
| 卷号 | 30期号:6页码:615-628 |
| 关键词 | GENERALIZED DIFFERENCE-METHODS ELEMENT METHODS INCOMPRESSIBLE-FLOW COVOLUME METHOD Stokes equations Equal-order finite element pair Finite volume method Error estimate |
| ISSN号 | 0254-9409 |
| 其他题名 | A STABILIZED EQUAL-ORDER FINITE VOLUME METHOD FOR THE STOKES EQUATIONS |
| 英文摘要 | We construct a new stabilized finite volume method on rectangular grids for the Stokes equations. The lowest equal-order conforming finite element pair (piecewise bilinear velocities and pressures) and piecewise constant test spaces for both the velocity and pressure are employed in this method. We show the stability of this method and prove first optimal rate of convergence for the velocity in the H-1 norm and the pressure in the L-2 norm. In addition, a second order optimal error estimate for the velocity in the L-2 norm is derived. Numerical experiments illustrating the theoretical results are included. |
| 资助项目 | [985 program of Jilin University] ; [National Natural Science Foundation of China] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4707995 |
| 源URL | [http://ir.imr.ac.cn/handle/321006/150260]  |
| 专题 | 金属研究所_中国科学院金属研究所 |
| 作者单位 | 1.中国科学院金属研究所 2.中山大学 3.吉林大学 |
| 推荐引用方式 GB/T 7714 | Tian Wanfu,Song Liqiu,Li Yonghai. A STABILIZED EQUAL-ORDER FINITE VOLUME METHOD FOR THE STOKES EQUATIONS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2012,30(6):615-628. |
| APA | Tian Wanfu,Song Liqiu,&Li Yonghai.(2012).A STABILIZED EQUAL-ORDER FINITE VOLUME METHOD FOR THE STOKES EQUATIONS.JOURNAL OF COMPUTATIONAL MATHEMATICS,30(6),615-628. |
| MLA | Tian Wanfu,et al."A STABILIZED EQUAL-ORDER FINITE VOLUME METHOD FOR THE STOKES EQUATIONS".JOURNAL OF COMPUTATIONAL MATHEMATICS 30.6(2012):615-628. |
入库方式： OAI收割
来源：金属研究所
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