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Stokes问题各向异性网格Q_2-P_1混合元超收敛分析 被引量：2

Superconvergence Analysis of Q_2-P_1 Mixed Finite Element Method for Stoked Problem on Anisotropic Meshes
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摘要 讨论Stokes问题在各向异性网格下的Q_2-P_1混合有限元方法,利用积分恒等式技巧得到了与传统方法相同的超逼近性质,同时基于插值后处理的技巧,构造了速度和压力的一对插值后处理算子,并且前者具有各向异性特征,从而导出了整体超收敛结果. Q2 - P1 mixed finite element method for Stokes problem on anisotropic meshes is discussed. the same superelose properties as the traditional methods are derived through integral identity technique. Furhermore, based on the interpolated postproeessing technique, a pair of postprocessing operator for velocity and pressure is constructed. And show that the former has an anisotropic property, then the global supereonvergenee is obtained.
作者 石东洋 任金城
机构地区 郑州大学数学系
出处 《数学研究》 CSCD 2008年第2期142-150,共9页 Journal of Mathematical Study
基金 国家自然科学基金(10671184) (10371113) 河南省高等学校创新人才培养工程基金(2002-219)资助项目
关键词 STOKES问题 混合元 超收敛 各向异性网格 后处理技术 Stokes problem mixed fiuite element superconvergence anisotropic meshes postprocessing technique
分类号 O241.82 [理学—计算数学]
  • 相关文献

参考文献9

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二级参考文献21

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共引文献82

同被引文献24

  • 1Dong-yangShi Shi-pengMao Shao-chunChen.AN ANISOTROPIC NONCONFORMING FINITE ELEMENT WITH SOME SUPERCONVERGENCE RESULTS[J].Journal of Computational Mathematics,2005,23(3):261-274. 被引量：186
  • 2SHI Dongyang ZHU Huiqing.THE SUPERCONVERGENCE ANALYSIS OF AN ANISOTROPIC FINITE ELEMENT[J].Journal of Systems Science & Complexity,2005,18(4):478-487. 被引量：32
  • 3Dongyang SHI Shipeng MAO Hui LIANG.ANISOTROPIC BIQUADRATIC ELEMENT WITH SUPERCLOSE RESULT[J].Journal of Systems Science & Complexity,2006,19(4):566-576. 被引量：8
  • 4王烈衡.Stokes问题的混合有限元分析.计算数学,1987,9:70-81.
  • 5Girault V, Raviart P A. Finite method for Navier-Stokes equation, theory and algorithms[M]. Berlin, Herdelberg: Springer-Verlag, 1986.
  • 6Temam R. Navier-Stokes equation, theory and numerical analysis[M]. Amsterdam: North-Holland, 1984.
  • 7Brezzi F, Fortin M. Mixed and hybrid finite element methods[M]. Berlin, Herdelberg: Springer- Verlag, 1991.
  • 8Crouzeix M, Raviart P A. Conforming and nonconforming finite dement methods for solving sta- tionary Stokes equations[J]. RAIRO Anal. Numer., 1973, 7(3): 33-75.
  • 9Lin Q, Lin J F. Finite element methods: accuracy and improvement[M]. Beijing: Science Press, 2006.
  • 10Babuska I. The finite element methods with Lagrangian multipliners[J]. Numer. Math., 1973, 20(3): 179- 192.

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数学研究
2008年 第2期

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