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SUMMARY:High-order algorithms for time- and frequency-domain wave propagat
 ion models - Mahadevan Ganesh (Colorado School of Mines)
DTSTART:20230420T130000Z
DTEND:20230420T134500Z
UID:TALK198760@talks.cam.ac.uk
DESCRIPTION:Efficient simulations of &nbsp\;acoustic wave propagation in t
 hree dimensional regions with multiple structures are fundamental for nume
 rous applications. Robust mathematical modeling of the underlying time-dep
 endent multiple scattering&nbsp\; physical process &nbsp\;is crucial for d
 esigning fully-discrete high-order computational methods for multiple scat
 tering simulations. Development of related algorithms are based on celebra
 ted continuous mathematical equations either in the time- or frequency-dom
 ain\, with the latter based on mathematical manipulations.Consequently\, t
 he meaning of the term "multiple scattering" varies depending on the conte
 xt in which it is used. It has been argued in the physics literature that 
 the&nbsp\; continuous frequency-domain (FD) multiple scattering model is a
  purely mathematical construct\,&nbsp\; and that in the time-domain (TD) m
 ultiple scattering becomes a definite physical phenomenon.&nbsp\;\nIn rece
 nt years there has been substantial development of computational multiple 
 scattering algorithms in the FD. &nbsp\;From the context of computational 
 multiple scattering\, it is important to ensure that the simulated solutio
 ns represent the definite physical multiple scattering process. In this ta
 lk\, we describe our recent contributions to the development of high-order
  wave propagation computational models in both &nbsp\;time- and frequency-
 domains\, and argue that spectrally accurate FD &nbsp\;scattering algorith
 ms are crucial for efficient and practical simulation of physically approp
 riate TD multiple scattering in unbounded regions with multiple structures
 .&nbsp\;(This talk is based on collaborative work with Drs. Dominguez\, Ha
 wkins\, and Le Louer.)
LOCATION:Seminar Room 1\, Newton Institute
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