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Superconvergence in the projected-shear plate-bending finite element method

โœ Scribed by Zhimin Zhang

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
432 KB
Volume
14
Category
Article
ISSN
0749-159X

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โœฆ Synopsis

A projected-shear finite element method for periodic Reissner-Mindlin plate model are analyzed for rectangular meshes. A projection operator is applied to the shear stress term in the bilinear form. Optimal error estimates in the L 2 -norm, the H 1 -norm, and the energy norm for both displacement and rotations are established and gradient superconvergence along the Gauss lines is justified in some weak senses. All the convergence and superconvergence results are uniform with respect to the thickness parameter t.

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