Estimation of deviations from the exact solution for the Reissner-Mindlin plate problem

被引：0
|
作者：
Repin S.I. [1 ]
Frolov M.E. [2 ]
机构：
[1] St. Petersburg Department, Steklov Mathematical Institute, St. Petersburg
[2] St. Petersburg State Technical University, St. Petersburg
来源：
Journal of Mathematical Sciences | 2006年 / 132卷 / 3期
关键词：
Exact Solution; Approximate Solution; Plate Problem;
D O I：
10.1007/s10958-005-0501-8
中图分类号：
学科分类号：
摘要：
In this paper, we obtain a majorant of the difference between the exact solution and any conforming approximate solution of the Reissner-Mindlin plate problem. This majorant is explicitly computable and involves constants that depend only on given data of the problem. The majorant allows us to compute guaranteed upper bounds of errors with any desired accuracy and vanishes if and only if the approximate solution coincides with the exact one. Bibliography: 12 titles.
引用
收藏
页码：331 / 338
页数：7
相关论文
共 50 条
  • [41] The Reissner-Mindlin plate is the Γ-limit of linear Cosserat elasticity
    Neff, P.
    Hong, K. -, I
    SHELL STRUCTURES: THEORY AND APPLICATIONS, VOL 2, 2010, : 91 - +
  • [42] THE BOUNDARY-LAYER FOR THE REISSNER-MINDLIN PLATE MODEL
    ARNOLD, DN
    FALK, RS
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1990, 21 (02) : 281 - 312
  • [43] An asymptotic strain gradient Reissner-Mindlin plate model
    Serpilli, Michele
    Krasucki, Francoise
    Geymonat, Giuseppe
    MECCANICA, 2013, 48 (08) : 2007 - 2018
  • [44] Shear-corrected Reissner-Mindlin plate model
    Freund, J.
    COMPOSITE STRUCTURES, 2019, 211 : 144 - 153
  • [45] TAYLOR-HOOD DISCRETIZATION OF THE REISSNER-MINDLIN PLATE
    Gallistl, Dietmar
    Schedensack, Mira
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 59 (03) : 1195 - 1217
  • [46] MULTIGRID METHODS FOR A STABILIZED REISSNER-MINDLIN PLATE FORMULATION
    Schoeberl, Joachim
    Stenberg, Rolf
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 47 (04) : 2735 - 2751
  • [47] An asymptotic strain gradient Reissner-Mindlin plate model
    Michele Serpilli
    Françoise Krasucki
    Giuseppe Geymonat
    Meccanica, 2013, 48 : 2007 - 2018
  • [48] STABILIZED FINITE ELEMENT METHODS FOR THE REISSNER-MINDLIN PLATE
    冯民富
    杨荣奎
    熊华鑫
    NumericalMathematicsAJournalofChineseUniversities(EnglishSeries), 1999, (02) : 125 - 132
  • [49] Approximation of the vibration modes of a plate by Reissner-Mindlin equations
    Durán, RG
    Hervella-Nieto, L
    Liberman, E
    Rodríguez, R
    Solomin, J
    MATHEMATICS OF COMPUTATION, 1999, 68 (228) : 1447 - 1463
  • [50] Reissner-Mindlin plate model with uncertain input data
    Hlavacek, Ivan
    Chleboun, Jan
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2014, 17 : 71 - 88
12345