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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:High-order algorithms for time- and frequency-doma
in wave propagation models - Mahadevan Ganesh (Col
orado School of Mines)
DTSTART;TZID=Europe/London:20230420T140000
DTEND;TZID=Europe/London:20230420T144500
UID:TALK198760AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/198760
DESCRIPTION:Efficient simulations of \;acoustic wave prop
agation in three dimensional regions with multiple
structures are fundamental for numerous applicati
ons. Robust mathematical modeling of the underlyin
g time-dependent multiple scattering \; physic
al process \;is crucial for designing fully-d
iscrete high-order computational methods for multi
ple scattering simulations. Development of related
algorithms are based on celebrated continuous mat
hematical equations either in the time- or frequen
cy-domain\, with the latter based on mathematical
manipulations.Consequently\, the meaning of the te
rm "multiple scattering" varies depending on the c
ontext in which it is used. It has been argued in
the physics literature that the \; continuous
frequency-domain (FD) multiple scattering model is
a purely mathematical construct\, \; and that
in the time-domain (TD) multiple scattering becom
es a definite physical phenomenon. \;\nIn rece
nt years there has been substantial development of
computational multiple scattering algorithms in t
he FD. \;From the context of computational mu
ltiple scattering\, it is important to ensure that
the simulated solutions represent the definite ph
ysical multiple scattering process. In this talk\,
we describe our recent contributions to the devel
opment of high-order wave propagation computationa
l models in both \;time- and frequency-domain
s\, and argue that spectrally accurate FD \;s
cattering algorithms are crucial for efficient and
practical simulation of physically appropriate TD
multiple scattering in unbounded regions with mul
tiple structures. \;(This talk is based on col
laborative work with Drs. Dominguez\, Hawkins\, an
d Le Louer.)
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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