| A FINITE VOLUME ELEMENT METHOD FOR THERMAL CONVECTION PROBLEMS |
| |
| 作者姓名： | 芮洪兴 |
| |
| 作者单位： | SchoolofMathematicsandSystemScience,ShandongUniversity,Jinan250100,China |
| |
| 基金项目： | Supported by National Natural Science Foundation of China(10071044)，the Research Fund of Doctoral Program of High Education by State Education Ministry of China. |
| |
| 摘 要： | Consider the finite volume element method for the thermal convection problem with the infinite Prandtl number. The author uses a conforming piecewise linear function on a fine triangulation for velocity and temperature, and a piecewise constant function on a coarse triangulation for pressure. For general triangulation the optimal order H^1 norm error estimates are given.
|
| 关 键 词： | 有限体积元法 热对流 无限Prandtl数 分段线性函数 |
A FINITE VOLUME ELEMENT METHOD FOR THERMAL CONVECTION PROBLEMS |
| |
| Rui Hongxing School of Mathematics and System Science,Shandong University,Jinan ,China.A FINITE VOLUME ELEMENT METHOD FOR THERMAL CONVECTION PROBLEMS[J].Acta Mathematica Scientia,2004,24(1):129-138. |
| |
| Authors: | Rui Hongxing School of Mathematics and System Science Shandong University Jinan China |
| |
| Institution: | Rui Hongxing School of Mathematics and System Science,Shandong University,Jinan 250100,China |
| |
| Abstract: | Consider the finite volume element method for the thermal convection problem with the infinite Prandtl number. The author uses a conforming piecewise linear function on a fine triangulation for velocity and temperature, and a piecewise constant function on a coarse triangulation for pressure. For general triangulation the optimal order H1 norm error estimates are given. |
| |
| Keywords: | Finite volume element method thermal convection problem error estimate |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
