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METHOD OF NONCONFORMING MIXED FINITE ELEMENTFOR SECOND ORDER ELLIPTIC PROBLEMSMETHOD OF NONCONFORMING MIXED FINITE ELEMENTFOR SECOND ORDER ELLIPTIC PROBLEM 被引量：2

METHOD OF NONCONFORMING MIXED FINITE ELEMENT FOR SECOND ORDER ELLIPTIC PROBLEMS METHOD OF NONCONFORMING MIXED FINITE ELEMENT FOR SECOND ORDER ELLIPTIC PROBLEMS
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摘要 In this paper, the method of non-conforming mixed finite element for second order elliptic problems is discussed and a format of real optimal order for the lowest order error estimate. In this paper, the method of non-conforming mixed finite element for second order elliptic problems is discussed and a format of real optimal order for the lowest order error estimate.
作者 Zhen-dong Luo (Department of Mathematics, Capital Normal University, Beijing 100057, China)
出处 《Journal of Computational Mathematics》 SCIE CSCD 2000年第5期449-456,共8页 计算数学（英文）
基金 Project supported by the Cultivating Foundation of Youthful Backbone of Science and Technologyof Beijing, the National Science
关键词 Non-conforming mixed finite element Error estimate Second order elliptic problems. Non-conforming mixed finite element, Error estimate, Second order elliptic problems.
分类号 O241 [理学—计算数学]
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参考文献9

  • 1M. Fortin,M. Soulie.A nonconforming piecewise quadratic finite element on triangles. International Journal for Numerical Methods in Engineering . 1983
  • 2Zheng-dong,Luo. Theory Bases and Applications of Finite Element Mixed Methods . 1996
  • 3R. Hiptemair.Nonconforming mixed discretization of second order elliptic problems. . 1994
  • 4M. Farhloul,M. Fortin.A nonconforming mixed finite element for second order elliptic problems, Numer.Methods P. D. Eq . 1997
  • 5Ciarlet PG.The Finite Element Method for Elliptic Problems. . 1978
  • 6Raviart P A,Thomas J M.A mixed finite element method for 2nd order elliptic problems. Mathematical Aspects of finite element methods, Lecture Notes in Mathematics . 1977
  • 7Stummel F.The generalized patch test. SIAM Journal on Numerical Analysis . 1979
  • 8Crouzeix M,Raviartm A.Conforming and nonconforming finite element methods for solving the stationary Stokes equations. Rairo Analyse Numerique . 1973
  • 9Brezzi F,Douglas Jr J,Martin L D.Two families of mixed finite elements for second order elliptic problems. Numerische Mathematik . 1985

同被引文献12

  • 1冯民富,周天孝.定常Navier—Stokes方程最小二乘Petrov—Galerkin有限元逼近的L^∞—估计[J].计算数学,1993,15(2):174-186. 被引量：12
  • 2Gunar Matthies,Lutz Tobiska.Inf-sup stable non-conforming finite elements of arbitrary order on triangles[J]. Numerische Mathematik . 2005 (2)
  • 3Guermond J L.Subgrid stabilization of Galerkin approximations of linear monotone operators. IMA Journal of Numerical Analysis . 2001
  • 4Linda El Alexandre Ern.Nonconforming finite element methods with subgrid viscosity applied to advectiondiffusive -reaction equations. . 2006
  • 5Layton W.A connection between subgrid eddy viscosity and mixed methods. Journal of Applied Mathematics . 2002
  • 6E.Burman,P.Hansbo.Stabilized crouzeix-raviart element for the Darcy-Stokes problem. Numer Math.Part.Diff.Eqn . 2005
  • 7Zhou T X,Feng M F,Xiong H X.A new approach to stability of finite elements under divergence constraints. Journal of Computational Mathematics . 1992
  • 8Forstner U,Wittmann GTW.Metal pollution in the aquatic environment. . 1981
  • 9Chen S C,Zhao Y C,Shi D Y.Anisotropic interpolations with application to nonconforming elements. Applied Numerical Mathematics . 2004
  • 10Dongyang Shi,Lifang Pei,Shaochun Chen.A Nonconforming Arbitrary Quadrilateral Finite Element Method for Approximating Maxwell's Equations[J].Numerical Mathematics A Journal of Chinese Universities(English Series),2007,16(4):289-299. 被引量：9

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Journal of Computational Mathematics
2000年 第5期

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