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Multifrequency analysis for the Helmholtz equation

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Abstract

In this paper a new numerical method for the multifrequency analysis of the three-dimensional Helmholtz equation is introduced. The collocation boundary element method (BEM) is used for the discretisation of the problem. The identity of the Fourier transform with respect to the wave number is applied to the matrix of the resulting linear system. The analytical form and some important properties are derived. Some numerical examples for the solution are presented.

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Authors and Affiliations

  1. Fachrichtung 6.1 – Mathematik, Universität des Saarlandes, 66041, Saarbrücken, Germany

    M. Köhl & S. Rjasanow

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  1. M. Köhl
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  2. S. Rjasanow
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Correspondence to M. Köhl.

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Köhl, M., Rjasanow, S. Multifrequency analysis for the Helmholtz equation. Computational Mechanics 32, 234–239 (2003). https://doi.org/10.1007/s00466-003-0480-x

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  • DOI: https://doi.org/10.1007/s00466-003-0480-x

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