Abstract
Two classes of superconvergence points forL 2-projection un inn-degree finite elements on uniform grids are shown by element analysis method. Superconvergence points ofu n aren + 1 order Gauss point Gn+1 for oddd≳-1 (so the endpoint of each element is of superconvergent), andn + 1 order pointset Zn+1 for even n≥2 (which includes the endpoints and midpoint), respectively. Symmetry point is only an important part of them.
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Chen, C. M., Optimal points of approximation solution for Galerkin method for two-point boundary value problem,Numer. Math. J. Chinese Univ. (in Chinese), 1979,1: 73.
Chen, C. M., Huang, Y. Q.,High Accuracy Theory of Finite Elements (in Chinese), Changsha: Hunan Science and Technique Press, 1995, 1–638.
Chen, C.M., Element analysis method and superconvergence,The first International Conference on Finite Element Methods: Superconvergence, Postprocessing and a Posteriori Estimates, Finland: Univ. Jyvaskyla, July 1–4, 1996.
Wahlbin, L., Superconvergence in Galerkin finite element methods, inLecture Notes in Math., New York: Springer, 1995, 1–166.
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Chen, C. Superconvergence for L2-projection in finite elements. Chin.Sci.Bull. 43, 22–24 (1998). https://doi.org/10.1007/BF02885503
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DOI: https://doi.org/10.1007/BF02885503