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SUMMARY:High-frequency scattering by polygons and wedges via the complex-s
 caled half-space matching method - Simon Chandler-Wilde (University of Rea
 ding)
DTSTART:20230209T153000Z
DTEND:20230209T161500Z
UID:TALK194812@talks.cam.ac.uk
DESCRIPTION:The half-space matching method (HSMM\, Bonnet-BenDhia\, Fliss\
 , Tonnoir\, 2018) is a rather new computational method for general 2D scat
 tering problems that is well-suited to solving canonical scattering proble
 ms where the scatterer is a bounded or undounded convex polygon or wedge. 
 In these cases it reduces the scattering problem to the solution of a syst
 em of second-kind integral equations on infinite half-lines that are the c
 ontinuations of the sides of the polygons/wedges into the domain of propag
 ation. The recent complex-scaled version of the HSMM (Bonnet-BenDhia\, Cha
 ndler-Wilde\, Fliss et al\, 2022)\, in the spirit of PML or similar comple
 x-scaling\, additionally deforms these half-lines into the complex plane\,
  resulting in a method that is provably well-posed for the most interestin
 g case of real wavenumbers. In this talk we show\, via an analysis that is
  explicit in the wavenumber\, that this complex-scaled HSMM is particularl
 y effective for these canonical problems in the high-wavenumber regime. We
  illustrate the talk by computational results\, including for scattering b
 y right-angled wedges.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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