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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 310, Pages 145–157
(Mi znsl810)
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This article is cited in 4 scientific papers (total in 4 papers)
On the estimate of deviations from the exact solution of the Reissner–Mindlin plate problem
S. I. Repina, M. E. Frolovb a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State Polytechnical University
Abstract:
In this paper, a majorant of the difference between the exact solution and any conforming approximate solution of the Reissner–Mindlin plate problem is derived. This majorant is explicitly computable and involves constants that depend only on given data of the problem. It provides the ability to compute guaranteed upper bounds of errors with any desired accuracy and vanishes if and only if an approximate solution coincides with the exact one.
Received: 27.05.2004
Citation:
S. I. Repin, M. E. Frolov, “On the estimate of deviations from the exact solution of the Reissner–Mindlin plate problem”, Boundary-value problems of mathematical physics and related problems of function theory. Part 35, Zap. Nauchn. Sem. POMI, 310, POMI, St. Petersburg, 2004, 145–157; J. Math. Sci. (N. Y.), 132:3 (2006), 331–338
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https://www.mathnet.ru/eng/znsl810 https://www.mathnet.ru/eng/znsl/v310/p145
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Abstract page: | 521 | Full-text PDF : | 157 | References: | 75 |
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