Authors: Schäffner, Mathias
Schweizer, Ben
Tjandrawidjaja, Yohanes
Title: A radiation box domain truncation scheme for the wave equation
Language (ISO): en
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.
Subject Headings: wave equation
transparent boundary condition
domain truncation
Issue Date: 2022-03
Appears in Collections:Preprints der Fakultät für Mathematik

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