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Pré-Publication, Document De Travail Année : 2014

Finite element eigenvalue enclosures for the Maxwell operator

Résumé

We propose employing the extension of the Lehmann-Maehly-Goerisch method developed by Zimmermann and Mertins, as a highly effective tool for the pollution-free finite element computation of the eigenfrequencies of the resonant cavity problem on a bounded region. This method gives complementary bounds for the eigenfrequencies which are adjacent to a given real parameter. We present a concrete numerical scheme which provides certified enclosures in a suitable asymptotic regime. We illustrate the applicability of this scheme by means of some numerical experiments on benchmark data using Lagrange elements and unstructured meshes.
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Dates et versions

hal-00949589 , version 1 (19-02-2014)

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Gabriel Raúl Barrenechea, Lyonell Boulton, Nabile Boussaid. Finite element eigenvalue enclosures for the Maxwell operator. 2014. ⟨hal-00949589⟩
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