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Zbl 0853.65110
Dari, E.; Duran, R.; Padra, C.; Vampa, V.
A posteriori error estimators for nonconforming finite element methods. (English)
[J] RAIRO, Modélisation Math. Anal. Numér. 30, No.4, 385-400 (1996). ISSN 0764-583X

The authors introduce two a posteriori error estimators for piecewise linear nonconforming finite element approximation of second-order elliptic problems. They prove that these estimators are equivalent to the energy norm of the error. Finally, they present several numerical experiments showing the good behavior of the estimators when they are used as local error indicators for adaptive refinement.
[P.Neittaanmäki (Jyväskylä)]

MSC 2000:: *65N15 Error bounds (BVP of PDE)
65N30 Finite numerical methods (BVP of PDE)
35J25 Second order elliptic equations, boundary value problems

Keywords: error estimators; nonconforming finite element; second-order elliptic problems; numerical experiments; adaptive refinement

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