Abstract
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.
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