| Stokes型积分-微分方程Q_2-P_1元的超收敛分析 |
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| 引用本文： | 牛裕琪,石东洋.Stokes型积分-微分方程Q_2-P_1元的超收敛分析[J].数学杂志,2015,35(5):1225-1232. |
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| 作者姓名： | 牛裕琪 石东洋 |
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| 作者单位： | 许昌学院数学与统计学院, 河南 许昌 461000,郑州大学数学与统计学院, 河南 郑州 450001 |
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| 基金项目： | 国家自然科学基金资助(11101381;11271340);教育部高等学校博士学科专项基金资助(2009410111006) |
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| 摘 要： | 本文研究Q2-P1混合元对Stokes型积分-微分方程的有限元方法.利用积分恒等式技巧给出了关于流体速度u和压力p的误差估计,特别是在压力p的误差中去掉了影响解的稳定性的1因子t-2,改善了以往文献的结果.同时,通过构造适当的插值后处理算子得到了整体超收敛结果.
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| 关 键 词： | Stokes型积分-微分方程 Q2-P1混合元 插值后处理 超逼近和超收敛 |
| 收稿时间： | 2013/11/11 0:00:00 |
| 修稿时间： | 2014/4/23 0:00:00 |
SUPERCONVERGENCE ANALYSIS OF Q2-P1 MIXED ELEMENT SOLUTION TO STOKES TYPE INTEGRO-DIFFERENTIAL EQUATIONS |
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| NIU Yu-qi and SHI Dong-yang.SUPERCONVERGENCE ANALYSIS OF Q2-P1 MIXED ELEMENT SOLUTION TO STOKES TYPE INTEGRO-DIFFERENTIAL EQUATIONS[J].Journal of Mathematics,2015,35(5):1225-1232. |
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| Authors: | NIU Yu-qi and SHI Dong-yang |
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| Institution: | School of Mathematics and Statistics, Xuchang University, Xuchang 461000, China and School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China |
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| Abstract: | The Q2-P1 mixed finite element method is discussed for the Stokes type integro-differential equations. The error estimations of fluid velocity u and pressure p are given by the integral identity technique. Especially, in the estimation of pressure p the factor t-½ which influences the stability of solution is removed and thus the existing results are improved accordingly. At the same time, the global superconvergence of order is derived based on the interpolation postprocessing approach. |
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| Keywords: | Stokes type integro-differential equations Q2-P1 mixed finite element postprocessing supercloseness and superconvergence |
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