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A posteriori error estimates for nonconforming finite element methods. (English) Zbl 1010.65044
A model Poisson problem in 2- and 3-D is treated with a nonconforming finite element method. Computable a posteriori error bounds are given. Moreover, an averaging estimator is established as well as an \(L^2\) estimate. The a posteriori error estimates are reliable and efficient.

MSC:
65N15 Error bounds for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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