Nodally Integrated Finite Element Formulation for Mindlin-Reissner 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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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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We present an overview of some families of locking-free elements for Reissner-Mindlin plates recently introduced and analyzed in [2] and [1]. They are all based on the ideas of discontinuous Galerkin approach, and they vary in the amount of interelement continuity required.
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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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Efficient finite element (FE) analyses of Reissner-Mindlin (RM) plate bending problems require a combination of high-order polynomial trial functions (p-extension) and locally refined meshes, or, in short, an hp-extension of the FE method. In the optimal case, exponential rates in the convergence of the error in energy norm can be obtained by such a discretization. This contribution discusses s...
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ژورنال
عنوان ژورنال: International Journal of Scientific and Engineering Research
سال: 2014
ISSN: 2229-5518
DOI: 10.14299/ijser.2014.01.001