期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

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 被引量：4

Crouzeix-Raviart anisotropic triangular finite element method for the integro-differential equations of Stokes type
下载PDF
导出
摘要 在半离散格式下,研究了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,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。 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.
作者 石东洋 王培珍
机构地区 郑州大学数学系 华北水利水电学院数学与信息科学学院
出处 《高校应用数学学报（A辑）》 CSCD 北大核心 2009年第4期435-442,共8页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 国家自然科学基金(10671184 10971203)
关键词 Stokes型积分-微分方程 各向异性网格 非协调元 integro-differential equation of Stokes type anisotropic mesh nonconforming finite element
分类号 O242.21 [理学—计算数学]
  • 相关文献

参考文献4

二级参考文献22

  • 1Shao-chunChen Dong-yangShi Guo-biaoRen.THREE DIMENSION QUASI-WILSON ELEMENT FOR FLAT HEXAHEDRON MESHES[J].Journal of Computational Mathematics,2004,22(2):178-187. 被引量：7
  • 2戴培良,许学军.Stokes问题的变网格非协调有限元法[J].高等学校计算数学学报,1995,17(1):74-81. 被引量：8
  • 3Ciarlet P G. The Finite Element Method for Elliptic Problem[M]. Amsterdam, 1978
  • 4Susanne C B, et al. The Mathematical Theory of Finite Element Methods[M]. Springer-Verlag, 1998
  • 5Becker R, Rannacher R. Finite element solution of the incompressible Navier-Stokes equations on anisotrpoically refined meshes[C]//Fast Solvers for Flow Problems (Notes on Numerical Fluid Mechanics). Wiesbaden- Vieweg, 1995,49:52-62
  • 6Orlt M, Sandig A M. Regularity of viscous Navier-Stokes flows in nonsmooth domains[C///Boundary Value Problems and Integral Equations in Nonsmooth Domains, Lecture Notes in Pure and Applied Mathematics.New York: Marcel Dekker, 1995,167:101-120
  • 7El Bouzid H, Nicaise S. Refined mixed finite element method for the Stokes problem[C]//Analysis, Numericsand Applications of Differential and Integral Equations, Pitman Research Notes in Mathematics. Harlow:Longman, 1998,379:158-162
  • 8Apel Th, Dobrowolski M. Anisotropric interpolation with application to the finte element method[J]. Computing, 1992,47:277-293
  • 9Apel Th. Anisotropic Finite Elements: Local Estimates and Applications[M]. Leipzig: B G Teubner Stuttgart, 1999
  • 10Zenisek A, Vanmaele M. The interpolation theorem for narrow quadrilateral isoparametric finite elements[J].Numer Math, 1995,72:123-141

共引文献48

同被引文献32

  • 1Dong-yang Shi,Yi-ran Zhang.A NONCONFORMING ANISOTROPIC FINITE ELEMENT APPROXIMATION WITH MOVING GRIDS FOR STOKES PROBLEM[J].Journal of Computational Mathematics,2006,24(5):561-578. 被引量：34
  • 2张铁,林延平.非线性抛物型微积分方程质量集中有限元方法[J].高等学校计算数学学报,1990,12(4):342-354. 被引量：6
  • 3王烈衡.Stokes问题的混合有限元分析.计算数学,1987,9:70-81.
  • 4Girault V,Raviart P A. Finite method for Navier-Stokes equation,theory and algorithms[M].Berlin and Herdelberg:Springer-Verlag,1986.
  • 5Temam R. Navier-Stokes equation,theory and numerical analysis[M].Amsterdam:North-Holland Publishing Company,1984.
  • 6Brezzi F,Fortin M. Mixed and Hybrid finite element methods[M].Berlin and Herdelberg:Springer-Verlag,1991.
  • 7Crouzeix M,Raviart P A. Conforming and nonconforming finite element methods for solving stationary Stokes equations[J].Rairo Analyse Numerique,1973,(03):33-75.
  • 8王烈衡.Stokes问题的混合有限元分析[J]计算数学,1987(01):70-81.
  • 9Han H D. A finite element approximation of Navier-Stokes equations using nonconforming elements[J].Journal of Computational Mathematics,1984,(01):77-88.
  • 10Han H D. Nonconforming element in the mixed finite element method[J].Journal of Computational Mathematics,1984,(03):223-233.

引证文献4

二级引证文献12

高校应用数学学报（A辑）
2009年 第4期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部