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A frequency-independent boundary element method for scattering by two-dimensional screens and apertures

Abstract:

We propose and analyse a hybrid numerical-asymptotic $hp$ boundary element method for time-harmonic scattering of an incident plane wave by an arbitrary collinear array of sound-soft two-dimensional screens. Our method uses an approximation space enriched with oscillatory basis functions, chosen to capture the high frequency asymptotics of the solution. Our numerical results suggest that fixed accuracy can be achieved at arbitrarily high frequencies with a frequency-independent computational ...

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Publisher:
IMAJNA
Publication date:
2013-12-01
UUID:
uuid:b852801c-04df-4e39-893b-4372c7353549
Local pid:
oai:eprints.maths.ox.ac.uk:1761
Deposit date:
2013-12-20

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