Article
MSC:
32J25,
65N15,
65N30,
73-08,
73C99,
74S05 | MR 0897832 | Zbl 0636.65116 | DOI: 10.21136/AM.1987.104259
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Keywords:
post-processing; averaged gradient; elliptic systems; second order elliptic systems; linear finite elements; regular uniform triangulations; error estimats; optimal order; superconvergence
post-processing; averaged gradient; elliptic systems; second order elliptic systems; linear finite elements; regular uniform triangulations; error estimats; optimal order; superconvergence
Summary:
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.
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