| 三维Stokes绕流问题的无限元逼近(英文) |
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| 引用本文： | 方能胜,应隆安. 三维Stokes绕流问题的无限元逼近(英文)[J]. 数学研究, 2009, 42(1) |
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| 作者姓名： | 方能胜 应隆安 |
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| 作者单位： | 厦门大学数学科学学院,福建,厦门,361005 |
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| 摘 要： | 设计了一种最少自由度的无限元方法来实现三维Stokes绕流问题的求解.通过验证强制性和inf-sup条件,我们证明了相应的离散混合变分问题解的适定性,并在加权Sobolev空间中得到了误差的先验估计.数值实验结果验证了解的收敛性.
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| 关 键 词： | 无限元 外问题 Stokes绕流 bubble基 |
Infinite Element Approximation to the Exterior Problem of Stokes Flow |
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| Fang Nengsheng,Ying Lungan. Infinite Element Approximation to the Exterior Problem of Stokes Flow[J]. Journal of Mathematical Study, 2009, 42(1) |
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| Authors: | Fang Nengsheng Ying Lungan |
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| Affiliation: | Fang Nengsheng Ying Lungan (School of Mathematical Sciences,Xiamen University,Xiamen Fujian 361005) |
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| Abstract: | An infinite element method with the least degrees of freedom is designed to realize the numerical computation of three dimensional exterior problem of the stationary Stokes flow. Well-posedness of the discrete mixed variational problem is obtained by verifying the coercivity and the inf-sup condition, and the error estimates are established in weighted Sobolev spaces. Numerical experiments are supplied to confirm the convergence at last. |
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| Keywords: | infinite element method exterior problem Stokes flow bubble basis |
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