NONCONFORMING INF-SUP CONDITIONS FOR FINITE-ELEMENT APPROXIMATIONS

被引:1
|
作者
JANIK, TJ [1 ]
机构
[1] UNIV TENNESSEE,DEPT MATH,KNOXVILLE,TN 37996
关键词
FINITE ELEMENT METHOD; INF-SUP CONDITION; NONCONFORMING APPROXIMATION;
D O I
10.1080/01630569108816434
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Nonconforming approximations are considered. Abstract error estimates for nonconforming finite element methods are derived using generalized stability results. Several applications are discussed with the emphasis on the various versions of the finite element method.
引用
收藏
页码:361 / 376
页数:16
相关论文
共 50 条
  • [21] THE INF-SUP TEST
    CHAPELLE, D
    BATHE, KJ
    COMPUTERS & STRUCTURES, 1993, 47 (4-5) : 537 - 545
  • [22] On the convergence of incompressible finite element formulations - The Patch Test and the inf-sup condition
    Dvorkin, EN
    ENGINEERING COMPUTATIONS, 2001, 18 (3-4) : 539 - 556
  • [23] Inf-sup conditions for twofold saddle point problems
    Howell, Jason S.
    Walkington, Noel J.
    NUMERISCHE MATHEMATIK, 2011, 118 (04) : 663 - 693
  • [24] A UNIFORM DISCRETE INF-SUP INEQUALITY FOR FINITE ELEMENT HYDRO-ELASTIC MODELS
    Avalos, George
    Toundykov, Daniel
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2016, 5 (04): : 515 - 531
  • [25] Subdifferentiability and inf-sup theorems
    Moussaoui, M
    Volle, M
    POSITIVITY, 1999, 3 (04) : 345 - 355
  • [26] LIMIT ANALYSIS AND INF-SUP CONDITIONS ON CONVEX CONES
    Sysala, Stanislav
    Haslinger, Jaroslav
    Repin, Sergey
    XV INTERNATIONAL CONFERENCE ON COMPUTATIONAL PLASTICITY: FUNDAMENTALS AND APPLICATIONS (COMPLAS 2019), 2019, : 133 - 144
  • [27] Subdifferentiability and Inf-Sup Theorems
    Mohammed Moussaoui
    Michel Volle
    Positivity, 1999, 3 : 345 - 355
  • [28] Inf-sup condition tests for shell/plate finite elements
    Gilewski, W.
    Sitek, M.
    SHELL STRUCTURES: THEORY AND APPLICATIONS, VOL 2, 2010, : 233 - 236
  • [29] INF-SUP STABILITY OF GEOMETRICALLY UNFITTED STOKES FINITE ELEMENTS
    Guzman, Johnny
    Olshanskii, Maxim
    MATHEMATICS OF COMPUTATION, 2018, 87 (313) : 2091 - 2112
  • [30] THE INF-SUP CONDITION TESTS FOR SHELL/PLATE FINITE ELEMENTS
    Gilewski, W.
    Sitek, M.
    ARCHIVES OF CIVIL ENGINEERING, 2011, 57 (04) : 425 - 447