Superconvergence in Projected-Shear Plate-Bending Finite Element Methods
نویسنده
چکیده
Projected-shear nite element methods 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, H 1-norm, and the energy norm for both displacement and rotations are established and gradient superconvergence along the Gauss lines is justiied in some weak senses. All the convergence and superconvergence results are uniform with respect to the thickness parameter t.
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