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High accuracy analysis of two nonconforming plate elements |
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| Authors: | Shipeng Mao Zhong-ci Shi |
| Affiliation: | (1) LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Science, Chinese Academy of Sciences, P.O. Box 2719, 100190 Beijing, People’s Republic of China |
| Abstract: | We prove the superconvergence of Morley element and the incomplete biquadratic nonconforming element for the plate bending problem. Under 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. The research is supported by the Special Funds For Major State Basic Research Project (No. 2005CB321701). |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000) 65N30 65N15 |
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