| 稳定型Stokes方程的非协调有限元后验误差估计 |
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| 引用本文： | 徐静.稳定型Stokes方程的非协调有限元后验误差估计[J].河南科学,2011,29(11):1275-1278. |
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| 作者姓名： | 徐静 |
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| 作者单位： | 扬州工业职业技术学院,江苏扬州,225127 |
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| 摘 要： | 给出了具有混合边界的稳定型Stokes方程的余项型后验误差估计,该误差估计是在Crouzeix-Raviart非协调有限单元上得到的,并给出了误差的上下界,上界证明中使用的“Helmholtz分解”解决了非协调元中不能使用“Galerkin正交”的问题,下界证明主要依赖“bubble函数”.
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| 关 键 词： | Stokes方程 非协调有限元 后验误差估计 Crouzeix-Raviat元 |
A Posterior Error Estimates for Nonconforming Approximation of the Stationary Stokes Problem |
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| Xu Jing.A Posterior Error Estimates for Nonconforming Approximation of the Stationary Stokes Problem[J].Henan Science,2011,29(11):1275-1278. |
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| Authors: | Xu Jing |
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| Institution: | Xu Jing(Yangzhou Polytechnic Institute,Yangzhou 225127,Jiangsu China) |
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| Abstract: | This paper focuses on a residual-based a posteriori error estimates for nonconforming approximation of the stationary Stokes equation with mixed boundary.It is done in Crouzeix-Raviart elements and gives both upper and lower bounds of the estimates.The proof of upper bounds relies on a Helmholtz decomposition,and low bounds relies on bubble function. |
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| Keywords: | Stokes equation nonconforming finite element posteriori error estimates Crouzeix-Raviart element |
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