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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:

74S05 Finite element methods applied to problems in solid mechanics
74K20 Plates
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
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