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High-accuracy analysis of two nonconforming plate elements. (English) Zbl 1155.74045
Summary: We prove the superconvergence of Morley element and the incomplete biquadratic nonconforming element for the plate bending problem. On uniform rectangular meshes, we obtain a superconvergence property at the symmetric points of the elements and a global superconvergent result by a proper postprocessing method.
MSC:
74S05Finite element methods in solid mechanics
74K20Plates (solid mechanics)
65N30Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
65N15Error bounds (BVP of PDE)
References:
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