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- W1966554401 abstract "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 parameter $tin mathbb{R}$. 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." @default.
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- W1966554401 date "2014-01-01" @default.
- W1966554401 modified "2023-10-06" @default.
- W1966554401 title "Finite Element Eigenvalue Enclosures for the Maxwell Operator" @default.
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- W1966554401 doi "https://doi.org/10.1137/140957810" @default.
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