Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite element eigenvalue enclosures for the Maxwell operator   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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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an