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A posteriori error estimates in Adini finite element for eigenvalue problems. (English) Zbl 0957.65092

Author’s abstract: We discuss a posteriori error estimates of the eigenvalue \(\lambda_h\) given by the Adini nonconforming finite element method. We give an asymptotically exact error estimator of the \(\lambda_h\). We prove that the order of convergence of the \(\lambda_h\) is just 2 and the \(\lambda_h\) converge form below for sufficiently small \(h\).

MSC:

65N25 Numerical methods for eigenvalue problems for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35P15 Estimates of eigenvalues in context of PDEs
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