A Low-order Nonconforming Finite Element for Reissner--Mindlin Plates
نویسندگان
چکیده
منابع مشابه
A Low-order Nonconforming Finite Element for Reissner-Mindlin Plates
We propose a locking-free element for plate bending problems, based on the use of nonconforming piecewise linear functions for both rotations and deflections. We prove optimal error estimates with respect to both the meshsize and the analytical solution regularity.
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Interior error estimates are obtained for a low order finite element introduced by Arnold and Falk for the Reissner– Mindlin plates. It is proved that the approximation error of the finite element solution in the interior domain is bounded above by two parts: one measures the local approximability of the exact solution by the finite element space and the other the global approximability of the ...
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This paper establishes a very general theory for a posteriori error analysis of finite element methods of the Reissner-Mindlin plate problem in the literature. The theory assures reliability of explicit residual error estimates. The conclusion of this theory is sparsity in the mathematical research of uniform a posteriori error control. Indeed, the a posteriori error estimate for various finite...
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This is to certify that I have examined a copy of a technical report by Kazh Brito and found it satisfactory in all respects, and that any and all revisions required by the examining committee have been made. Abstract This is an exploration of Legendre spectral finite-element (LSFE) formulations for Reissner-Mindlin plates. The goal was to compare high-order LSFEs with standard low-order finite...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2005
ISSN: 0036-1429,1095-7170
DOI: 10.1137/040603474