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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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