Improvement of the Inside-Outside Duality Method

A. Kleefeld () and E. Reichwein ()
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A. Kleefeld: Forschungszentrum Jülich GmbH, Supercomputing Centre
E. Reichwein: Heinrich-Heine-Universität, Faculty of Mathematics and Natural Sciences

Chapter Chapter 13 in Integral Methods in Science and Engineering, Volume 1, 2017, pp 149-159 from Springer

Abstract: Abstract In this paper, an improvement of the inside-outside duality method is considered. The state-of-the-art approximation of the far-field operator via constant interpolation is not sufficient to obtain highly accurate interior transmission eigenvalues especially for larger wave numbers. Therefore, several different approximations of the far-field operator such as Gaussian quadrature, spherical t-design, and Lebedev quadrature are used which are shown to yield superior accuracy for the numerical calculation of interior transmission eigenvalues.

Keywords: Inside-outside Dichotomy; Interior Transmission Eigenvalue; Lebedev Quadrature; Constant Interpolation; Product Gaussian Quadrature (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-59384-5_13

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DOI: 10.1007/978-3-319-59384-5_13

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