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Uniform convergence of mixed interpolated elements for Reissner-Mindlin plates. (English) Zbl 0758.73050

Summary: The mixed-interpolated elements of K.-J. Bathe and E. N. Dvorkin [Int. J. Numer. Methods Eng. 21, 367-383 (1985; Zbl 0551.73072)] and K.-J. Bathe, F. Brezzi and S. W. Cho [Comput. Struct. 32, No. 3/4, 797-814 (1989; Zbl 0705.73241)] are analyzed. It is shown that convergence is uniform in the thickness parameter when the Mindlin- Reissner plate is treated. To this end a discrete analog of the Helmholtz decomposition of \(L_ 2\) is introduced.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K20 Plates
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References:

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