Basis for the quadratic nonconforming triangular element of Fortin and Soulie

被引:0
|
作者
Lee, Heejeong [1 ]
Sheen, Dongwoo [1 ]
机构
[1] Seoul Natl Univ, Dept Math, Seoul 151747, South Korea
关键词
quadratic nonconforming element; finite element method; error analysis;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A basis for the quadratic (P-2) nonconforming element of Fortin and Soulie on triangles is introduced. The local and global interpolation operators are defined. Error estimates of optimal order are derived in both broken energy and L-2(Omega)-norms for second-order elliptic problems. Brief numerical results are also shown.
引用
收藏
页码:409 / 421
页数:13
相关论文
共 50 条
  • [31] Preconditioning projection nonconforming element method for the lowest-order Raviart-Thomas mixed triangular element method
    Chen, JR
    Li, LK
    APPLIED MATHEMATICS AND COMPUTATION, 1998, 93 (01) : 31 - 49
  • [32] A quadratic assumed natural strain triangular element for plate bending analysis
    Sze, KY
    Zhu, D
    COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1998, 14 (11): : 1013 - 1025
  • [33] The Local Superconvergence of the Quadratic Triangular Element for the Poisson Problem in a Polygonal Domain
    He, Wen-Ming
    Cui, Jun-Zhi
    Zhu, Qi-Ding
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2014, 30 (06) : 1854 - 1876
  • [34] A Quadratic Triangular Finite Volume Element Metho for a Semilinear Elliptic Equation
    Xiong, Zhiguang
    Deng, Kang
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2017, 9 (01) : 186 - 204
  • [35] Quadratic nonconforming finite element method for 3D Stokes equations on cuboid meshes
    Xin-chen Zhou
    Zhao-liang Meng
    Xiao-shan Wang
    Zhong-xuan Luo
    Applied Mathematics-A Journal of Chinese Universities, 2016, 31 : 21 - 36
  • [36] Quadratic nonconforming finite element method for 3D Stokes equations on cuboid meshes
    ZHOU Xin-chen
    MENG Zhao-liang
    WANG Xiao-shan
    LUO Zhong-xuan
    Applied Mathematics:A Journal of Chinese Universities, 2016, 31 (01) : 21 - 36
  • [37] Quadratic nonconforming finite element method for 3D Stokes equations on cuboid meshes
    Zhou Xin-chen
    Meng Zhao-liang
    Wang Xiao-shan
    Luo Zhong-xuan
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2016, 31 (01) : 21 - 36
  • [38] FORMING THE TRIANGULAR ELEMENT STIFFNESS MATRIX ON THE BASIS OF SLIDING INTERPOLATION
    LEVASHOV, PD
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII AVIATSIONAYA TEKHNIKA, 1980, (04): : 33 - 37
  • [39] Fortin operator for the Taylor-Hood element
    Diening, L.
    Storn, J.
    Tscherpel, T.
    NUMERISCHE MATHEMATIK, 2022, 150 (02) : 671 - 689
  • [40] AN ANISOTROPIC LOCKING-FREE NONCONFORMING TRIANGULAR FINITE ELEMENT METHOD FOR PLANAR LINEAR ELASTICITY PROBLEM
    Shi, Dongyang
    Xu, Chao
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2012, 30 (02) : 124 - 138