2006
DOI: 10.1007/s10958-005-0501-8
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Estimation of Deviations from the Exact Solution for the Reissner-Mindlin Plate Problem

Abstract: 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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Cited by 3 publications
(1 citation statement)
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“…For certain boundary-value problems related to plates, such estimates have been proposed in papers [12,13,20,23]. In particular, a majorant of the difference between the exact solution and any conforming approximate solution of the Reissner-Mindlin plate model has been derived in two different ways: using the duality theory in calculus of variations [23] and by straightforward modification of the weak formulation of the problem [13]. Below we briefly refer to these results.…”
Section: Reissner-mindlin Platesmentioning
confidence: 99%
“…For certain boundary-value problems related to plates, such estimates have been proposed in papers [12,13,20,23]. In particular, a majorant of the difference between the exact solution and any conforming approximate solution of the Reissner-Mindlin plate model has been derived in two different ways: using the duality theory in calculus of variations [23] and by straightforward modification of the weak formulation of the problem [13]. Below we briefly refer to these results.…”
Section: Reissner-mindlin Platesmentioning
confidence: 99%