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Stokes问题的非协调有限元分析 被引量:2

Nonconforming finite elements analysis for the Stokes problem
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摘要 构造了两个非协调有限元,对Stokes问题满足离散B-B条件,单元对速度和压力具有二阶收敛性,数值实验验证了理论分析结果. Two nonconforming finite elements which satisfy the discrete B-B condition for the Stokes problem are presented.The elements have two order of convergence for the velocity and pressure. Some numerical results,which coincide with the theoretical analysis,are given.
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 2010年第4期403-410,共8页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 国家自然科学基金(10771198 11071226) 河南省教育厅基础研究(2010A110005) 河南工业大学博士基金(2008BS013)
关键词 STOKES问题 非协调有限元 B-B条件 Stokes problem nonconforming finite element B-B condition
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参考文献9

  • 1Brenner S C,Scott L R.The Mathematical Theory of Finite Element Methods[M].Berlin:Springer-Verlag,1994.
  • 2Brezzi F,Fortin M.Mixed and Hybrid Finite Element Methods[M].Berlin:Spring-Verlag,1991.
  • 3Crouzeix M,Raviart P A.Conforming and nonconforming finite element methods for solving stationary Stokes equations[J].RAIRO Anal Numer,1973,3:33-75.
  • 4Girault V,Raviart P A.Finite Element Methods for Navier-Stokes Equations,Theory and Algorithms[M].Berlin:Spring-Verlag,1986.
  • 5Hood P,Taylor C.A numerical solution of the Navier-Stokes equations using the finite element technique[J].Comput and Fluids,1973,1:73-100.
  • 6Fortin M,Soulie M.A non conforming piecewise quadratic finite element on the triangle[J].Int J Numer Methods,1983,19:505-520.
  • 7王烈衡.Stokes问题的混合有限元分析.计算数学,1987,9:70-81.
  • 8Ciarlet P G.Basic error estimates for elliptic problems[A].In:Ciarlet P G,Lions J L,eds,Handbook of Numerical Analysis,Vol.Ⅱ,Finite Element Methods (Part 1)[M].Amsterdam:North-Holland,1991,17-352.
  • 9Shi Zhongci.The F-E-M-Test for convergence of nonconforming elements[J].Math Comp,1987,49(180):391-405.

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