Media type: E-Article Title: A posteriori estimates for eigenvalue/vector approximations Contributor: Grubišić, Luka imprint: Wiley, 2006 Published in: PAMM Language: English DOI: 10.1002/pamm.200610016 ISSN: 1617-7061 Keywords: General Medicine Origination: Footnote: Description: <jats:title>Abstract</jats:title><jats:p>We combine abstract eigenvalue/eigenvector estimates (from our earlier work) with a saturation assumption for finite element solution of associated stationary problem to obtain <jats:italic>a posteriori</jats:italic> estimates of the accuracy of finite element Rayleigh–Ritz approximations. Attention will be payed to the interplay between the accuracy estimate for the finite element method and a strategy for generating an adapted mesh. The obtained results use a preconditioned residuum of Neymeyr and extend his study of eigenvalue approximations with eigenvector estimates. We also prove that this eigenvalue estimator is equivalent to the global error. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)</jats:p> Access State: Open Access