A radiation box domain truncation scheme for the wave equation

Abstract We consider the wave equation in an unbounded domain and are interested in domain truncation methods. Our aim is to develop a numerical scheme that allows calculations for truncated waveguide geometries with periodic coefficient functions. The scheme is constructed with radiation boxes that...

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Veröffentlicht in:IMA journal of numerical analysis 2024-04, Vol.44 (2), p.920-944
Hauptverfasser: Schweizer, B, Schäffner, M, Tjandrawidjaja, Y
Format: Artikel
Sprache:eng
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Zusammenfassung:Abstract We consider the wave equation in an unbounded domain and are interested in domain truncation methods. Our aim is to develop a numerical scheme that allows calculations for truncated waveguide geometries with periodic coefficient functions. The scheme is constructed with radiation boxes that are attached to the artificially introduced boundaries. A Dirichlet-to-Neumann operator $N$ is calculated in these radiation boxes. Efficiency of the scheme is obtained by calculating $N$ not with an iteration, but with a single run through the time interval. We observe speed-up factors of up to $20$ in comparison to calculations without domain truncation.
ISSN:0272-4979
1464-3642
DOI:10.1093/imanum/drad027