Abstract
It is the first time for us to investigate the superconvergence of finite element method for second-degree elliptic problem with periodic boundary. Using the interpolation postprocessing technique, we obtain $$O(h^{k+1}|\ln h|^{2})$$ convergence for the derivative of approximations with a $$P_{k}$$ finite element method at vertex. Numerical results are used to demonstrate the effectiveness of the proposed method.
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