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CATEGORIES:Applied and Computational Analysis
SUMMARY:Efficient frequency-dependent numerical simulation
  of wave scattering problems - Daan Huybrechs (KU 
 Leuven)
DTSTART;TZID=Europe/London:20240229T150000
DTEND;TZID=Europe/London:20240229T160000
UID:TALK210133AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/210133
DESCRIPTION:Wave propagation in homogeneous media is often mod
 elled using integral equation methods. The boundar
 y element method (BEM) is for integral equations w
 hat the finite element method is for partial diffe
 rential equations. One difference is that BEM typi
 cally leads to dense discretization matrices. A ma
 jor focus in the field has been the development of
  fast solvers for linear systems involving such de
 nse matrices. Developments include the fast multip
 ole method (FMM) and more algebraic methods based 
 on the so-called H-matrix format. Yet\, for time-h
 armonic wave propagation\, these methods solve the
  original problem only for a single frequency. In 
 this talk we focus on the frequency-sweeping probl
 em: we aim to solve the scattering problem for a r
 ange of frequencies. We exploit the wavenumber-dep
 endence of the dense discretization matrix for the
  3D Helmholtz equation and demonstrate a memory-co
 mpact representation of all integral operators inv
 olved which is valid for a continuous range of fre
 quencies\, yet comes with a cost of a only small n
 umber of single frequency simulations. This is joi
 ned work at KU Leuven with Simon Dirckx\, Kobe Bru
 yninckx and Karl Meerbergen.
LOCATION:Centre for Mathematical Sciences\, MR14
CONTACT:Nicolas Boulle
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