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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:High-frequency scattering by polygons and wedges v
ia the complex-scaled half-space matching method -
Simon Chandler-Wilde (University of Reading)
DTSTART;TZID=Europe/London:20230209T153000
DTEND;TZID=Europe/London:20230209T161500
UID:TALK194812AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/194812
DESCRIPTION:The half-space matching method (HSMM\, Bonnet-BenD
hia\, Fliss\, Tonnoir\, 2018) is a rather new comp
utational method for general 2D scattering problem
s that is well-suited to solving canonical scatter
ing problems where the scatterer is a bounded or u
ndounded convex polygon or wedge. In these cases i
t reduces the scattering problem to the solution o
f a system of second-kind integral equations on in
finite half-lines that are the continuations of th
e sides of the polygons/wedges into the domain of
propagation. The recent complex-scaled version of
the HSMM (Bonnet-BenDhia\, Chandler-Wilde\, Fliss
et al\, 2022)\, in the spirit of PML or similar co
mplex-scaling\, additionally deforms these half-li
nes into the complex plane\, resulting in a method
that is provably well-posed for the most interest
ing case of real wavenumbers. In this talk we show
\, via an analysis that is explicit in the wavenum
ber\, that this complex-scaled HSMM is particularl
y effective for these canonical problems in the hi
gh-wavenumber regime. We illustrate the talk by co
mputational results\, including for scattering by
right-angled wedges. \;
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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