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Superconvergence for L2-projection in finite elements

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Chinese Science Bulletin

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. 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

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