Geodesic
On a superconvergent finite element scheme for elliptic systems. III. Optimal interior estimates
Applications of Mathematics, Tome 32 (1987) no. 4, pp. 276-289.

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Second order elliptic systems with boundary conditions of Dirichlet, Neumann's or Newton's type are solved by means of linear finite elements on regular uniform triangulations. Error estimates of the optimal order $O(h^2)$ are proved for the averaged gradient on any fixed interior subdomain, provided the problem under consideration is regular in a certain sense.
DOI : 10.21136/AM.1987.104259
Classification : 32J25, 65N15, 65N30, 73-08, 73C99, 74S05
Keywords: post-processing; averaged gradient; elliptic systems; second order elliptic systems; linear finite elements; regular uniform triangulations; error estimats; optimal order; superconvergence 
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     title = {On a superconvergent finite element scheme for elliptic systems. {III.} {Optimal} interior estimates},
     journal = {Applications of Mathematics},
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Hlaváček, Ivan; Křížek, Michal. On a superconvergent finite element scheme for elliptic systems. III. Optimal interior estimates. Applications of Mathematics, Tome 32 (1987) no. 4, pp. 276-289. doi : 10.21136/AM.1987.104259. http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104259/

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