On the problem of superconvergence of finite element method algorithms
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 12, pp. 2180-2185

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The coincidence of an approximate solution to the boundary value problem for an ordinary differential equation with the exact solution at mesh nodes is proved for a certain class of the generalized finite element methods.
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     title = {On the problem of superconvergence of finite element method algorithms},
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A. A. Panin. On the problem of superconvergence of finite element method algorithms. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 12, pp. 2180-2185. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_12_a9/