Geodesic
How to recover the gradient of linear elements on nonuniform triangulations
Applications of Mathematics, Tome 41 (1996) no. 4, pp. 241-267.

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We propose and examine a simple averaging formula for the gradient of linear finite elements in $R^d$ whose interpolation order in the $L^q$-norm is $\mathcal O(h^2)$ for $d2q$ and nonuniform triangulations. For elliptic problems in $R^2$ we derive an interior superconvergence for the averaged gradient over quasiuniform triangulations. A numerical example is presented.
DOI : 10.21136/AM.1996.134325
Classification : 65N15, 65N30
Keywords: weighted averaged gradient; linear elements; nonuniform triangulations; superapproximation; superconvergence 
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     title = {How to recover the gradient of linear elements on nonuniform triangulations},
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Hlaváček, Ivan; Křížek, Michal; Pištora, Vladislav. How to recover the gradient of linear elements on nonuniform triangulations. Applications of Mathematics, Tome 41 (1996) no. 4, pp. 241-267. doi : 10.21136/AM.1996.134325. http://geodesic.mathdoc.fr/articles/10.21136/AM.1996.134325/

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