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
  • [1] Robust a posteriori error estimation for the nonconforming Fortin-Soulie finite element approximation
    Ainsworth, Mark
    Rankin, Richard
    MATHEMATICS OF COMPUTATION, 2008, 77 (264) : 1917 - 1939
  • [2] Computable error bounds for nonconforming Fortin-Soulie finite element approximation of the Stokes problem
    Ainsworth, Mark
    Allendes, Alejandro
    Barrenechea, Gabriel R.
    Rankin, Richard
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2012, 32 (02) : 417 - 447
  • [3] A robust a priori error estimate for the Fortin-Soulie finite element method
    Blacker, DJ
    COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2005, 21 (07): : 337 - 356
  • [4] A robust a posteriori error estimate for the Fortin-Soulie finite-element method
    Blacker, DJ
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (12) : 1863 - 1876
  • [5] New quadratic nonconforming finite element on rectangles
    Lee, Heejeong
    Sheen, Dongwoo
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2006, 22 (04) : 954 - 970
  • [6] A 3-DIMENSIONAL QUADRATIC NONCONFORMING ELEMENT
    FORTIN, M
    NUMERISCHE MATHEMATIK, 1985, 46 (02) : 269 - 279
  • [7] Superconvergence Analysis of a Nonconforming Triangular Element on Anisotropic Meshes
    Dongyang Shi
    Hui Liang
    Caixia Wang
    Journal of Systems Science and Complexity, 2007, 20 : 536 - 544
  • [8] Superconvergence analysis of a nonconforming triangular element on anisotropic meshes
    Shi, Dongyang
    Liang, Hui
    Wang, Caixia
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2007, 20 (04) : 536 - 544
  • [9] Three-Dimensional Quadratic Nonconforming Brick Element
    Meng, Zhaoliang
    Sheen, Dongwoo
    Luo, Zhongxuan
    Kim, Sihwan
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2014, 30 (01) : 158 - 174
  • [10] Quadratic Triangular Element for Diffuse Optical Tomography
    Zhang, Xuanxuan
    Deng, Yong
    Xu, Jun
    Luo, Zhaoyang
    Gong, Hui
    Luo, Qingming
    OPTICS IN HEALTH CARE AND BIOMEDICAL OPTICS V, 2012, 8553