A Posteriori Error Estimation for a Preconditioned Algorithm to Solve Elliptic Eigenproblems
نویسنده
چکیده
This paper presents an a posteriori error estimator for the preconditioned iteration scheme of Bramble, Knyazev and Pasciak to compute the smallest eigenvalues together with its invariant subspace of an elliptic diierential operator. The error estimator is applied both to the nite element space in which the preconditioned iteration is performed (iteration error estimation) as well as to its hierarchical reenement of higher order elements (discretization error estimation). Both estimators are integrated into an adaptive multigrid algorithm for elliptic eigenproblems.
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