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FINITE ELEMENT EIGENVALUE ENCLOSURES FOR THE MAXWELL OPERATOR
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DOI：10.1137/140957810.png)
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Abstract
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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 t is an element of 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.
Keywords:
eigenvalue enclosures
Maxwell equation
spectral pollution
finite element method
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