| Stokes型积分-微分方程的Crouzeix-Raviart型非协调三角形各向异性有限元方法 |
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| 引用本文： | 石东洋,王培珍.Stokes型积分-微分方程的Crouzeix-Raviart型非协调三角形各向异性有限元方法[J].高校应用数学学报(A辑),2009,24(4). |
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| 作者姓名： | 石东洋 王培珍 |
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| 作者单位： | 1. 郑州大学数学系,河南郑州,450052
2. 华北水利水电学院数学与信息科学学院,河南郑州,450011 |
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| 摘 要： | 在半离散格式下.研究了Stokes型积分一微分方程的Crouzeix-Raviart型非协调三角形各向异性有限元方法,在不需要传统Ritz-Volterra投影下,通过辅助空间等新的技巧得到了与传统有限元方法相同的误差估计.
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| 关 键 词： | Stokes型积分一微分方程 各向异性网格 非协调元 |
Crouzeix-Raviart anisotropic triangular finite element method for the integro-differential equations of Stokes type |
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| SHI Dong-yang,WANG Pei-zhen.Crouzeix-Raviart anisotropic triangular finite element method for the integro-differential equations of Stokes type[J].Applied Mathematics A Journal of Chinese Universities,2009,24(4). |
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| Authors: | SHI Dong-yang WANG Pei-zhen |
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| Abstract: | In semidiscrete scheme, the Crouzeix-Raviart nonconforming triangular finite element method for the integro-differential equations of Stokes type is studied on anisotropic meshes. Without using Ritz-Volterra projection, the same error estimates are derived as for the traditional finite element methods by using auxiliary space and some novel approaches. |
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| Keywords: | integro-differential equation of Stokes type anisotropic mesh nonconforming finite element |
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