Local two-sided bounds for eigenvalues of self-adjoint operators

Lyonell Boulton, Gabriel Barrenechea, Nabile Boussaid

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3 Citations (Scopus)
71 Downloads (Pure)


We examine the equivalence between an extension of the Lehmann-Maehly-Goerisch method developed a few years ago by Zimmermann andMertins, and a geometrically motivated method developed more recently byDavies and Plum. We establish a general framework which allows sharpeningvarious previously known results in these two settings and determine explicitconvergence estimates for both methods. We demonstrate the applicability ofthe method of Zimmermann and Mertins by means of numerical tests on theresonant cavity problem.
Original languageEnglish
JournalNumerische Mathematik
Early online date9 Jul 2016
Publication statusE-pub ahead of print - 9 Jul 2016


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