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.
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页码：331 / 338
页数：7
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