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A posteriori error estimators for nonconforming finite element methods. (English) Zbl 0853.65110
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.

65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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