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- W2090977214 abstract "This article aimed to discuss the potential disadvantages of the recently proposed smoothed finite element (SFEM) through studying its shape functions from the existence, linearity and non-negativity. Unfortunately, our recent more careful study on the original papers has found that although the shape functions (Equation (22) in [9]) were present in the original SFEM paper, which can be used for computing the shape function value for an interior point, the SFEM obtained the shape function values via a tabular form listed in Table I in [9] and picture form given in Figure 4 in [11] along the edges of cells. So, we misunderstood the crucial trick in the SFEM and therefore our comments on the SFEM presented in the article are incorrect. The results on the quadrilateral are still correct in the current article, and the conclusions and comments are only valid when the continuous form of non-mapped shape functions will be used within the entire element, rather than those in the SFEM in which the linearly interpolated non-mapped shape function values were given by the original authors as in [9, 11]." @default.
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- W2090977214 date "2009-03-26" @default.
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- W2090977214 title "On the smoothed finite element method (Int. J. Numer. Meth. Engng2008;76:1285-1295 (DOI: 10.1002/nme.2460))" @default.
- W2090977214 doi "https://doi.org/10.1002/nme.2601" @default.
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