| Analysis on a Finite Volume Element Method for Stokes Problems |
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| 作者姓名： | Hong-xing Rui |
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| 作者单位： | [1]School of Mathematics and Systems Science, Shandong University, Jinan 250100, China |
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| 基金项目： | Supported by the Natural Science Foundation of China （No.10471079, 10071044） and the Research Fund of Doctoral Program of High Education by State Education Ministry of China. |
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| 摘 要： |
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| 关 键 词： | Stokes问题 有限元分析 数字分析 分段线性函数 |
| 收稿时间： | 2002-11-21 |
| 修稿时间： | 2002-11-212004-07-05 |
Analysis on a Finite Volume Element Method for Stokes Problems |
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| Hong-xing Rui.Analysis on a Finite Volume Element Method for Stokes Problems[J].Acta Mathematicae Applicatae Sinica,2005,21(3):359-372. |
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| Authors: | Hong-xing Rui |
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| Institution: | (1) School of Mathematics and Systems Science, Shandong University, Jinan, 250100, China |
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| Abstract: | Finite volume element method for the Stokes problem is considered. We use a conforming piecewise linear function on a fine grid for velocity and piecewise constant element on a coarse grid for pressure. For general triangulation we prove the equivalence of the finite volume element method and a saddle-point problem, the inf-sup condition and the uniqueness of the approximation solution. We also give the optimal order H^1 norm error estimate. For two widely used dual meshes we give the L^2 norm error estimates, which is optimal in one case and quasi-optimal in another ease. Finally we give a numerical example. |
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| Keywords: | Finite volume element Stokes problem numerical analysis |
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