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
  • [21] On the accuracy of p-version elements for the Reissner-Mindlin plate problem
    Rank, Ernst
    Krause, Roland
    Preusch, Karin
    1998, John Wiley & Sons Ltd, Chichester, United Kingdom (43)
  • [22] On the accuracy of P-version elements for the Reissner-Mindlin plate problem
    Rank, E
    Krause, R
    Preusch, K
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1998, 43 (01) : 51 - 67
  • [23] Discrete Reissner-Mindlin plate and shell elements
    Sydenstricker, R
    Landau, L
    ADVANCES IN FINITE ELEMENT PROCEDURES AND TECHNIQUES, 1998, : 63 - 71
  • [24] THE REISSNER-MINDLIN PLATE IS THE Γ-LIMIT OF COSSERAT ELASTICITY
    Neff, Patrizio
    Hong, Kwon-Il
    Jeong, Jena
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2010, 20 (09): : 1553 - 1590
  • [25] The Reissner-Mindlin plate theory via Γ-convergence
    Paroni, Roberto
    Podio-Guidugli, Paolo
    Tomassetti, Giuseppe
    COMPTES RENDUS MATHEMATIQUE, 2006, 343 (06) : 437 - 440
  • [26] Buckling of a Reissner-Mindlin plate of piezoelectric semiconductors
    Qu, Yilin
    Jin, Feng
    Yang, Jiashi
    MECCANICA, 2022, 57 (11) : 2797 - 2807
  • [27] Contact stress from asymptotic Reissner-Mindlin plate theory
    Hodges, D.H., 1600, American Inst. Aeronautics and Astronautics Inc. (41):
  • [28] Contact stress from asymptotic Reissner-Mindlin plate theory
    Hodges, DH
    AIAA JOURNAL, 2003, 41 (02) : 329 - 331
  • [29] PSRI elements for the Reissner-Mindlin free plate
    Chinosi, C
    COMPUTERS & STRUCTURES, 2005, 83 (31-32) : 2559 - 2572
  • [30] APPROXIMATION OF THE BUCKLING PROBLEM FOR REISSNER-MINDLIN PLATES
    Lovadina, Carlo
    Mora, David
    Rodriguez, Rodolfo
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 48 (02) : 603 - 632
12345