Abstract
Superconvergence for second order elliptic finite elements on uniform meshes is discussed. The element orthogonality analysis method and the orthogonality correction technique are especially emphasized. There are two basic structures of superconvergence, i.e. Gauss-Lobatto points and symmetric points. Their accuracy and global property are also analysed. Four main principles in using superconvergence are proposed.
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Chen, C. (2002). Basic Structures of Superconvergence in Finite Element Analysis. In: Chan, T.F., Huang, Y., Tang, T., Xu, J., Ying, LA. (eds) Recent Progress in Computational and Applied PDES. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0113-8_7
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DOI: https://doi.org/10.1007/978-1-4615-0113-8_7
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