Two order superconvergence of finite element methods for Sobolev equations |
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| Authors: | Qian Li Hong Wei |
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| Affiliation: | 1. Department of Mathematics, Shandong Normal University Jinan, 250014, Shandong, People’s Republic of China
2. Institute of Mathematics, Chinese Academy of Sciences, 100080, Beijing, People’s Republic of China
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| Abstract: | We consider finite element methods applied to a class of Sobolev equations inR d(d ≥ 1). Global strong superconvergence, which only requires that partitions are quais-uniform, is investigated for the error between the approximate solution and the Ritz-Sobolev projection of the exact solution. Two order superconvergence results are demonstrated inW 1,p (Ω) andL p(Ω) for 2 ≤p < ∞. |
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