A radiation box domain truncation scheme for the wave equation
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Date
2022-03-24
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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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Keywords
wave equation, transparent boundary condition, domain truncation