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SUMMARY:Numerical study of quantitative inverse wave problems in visco-aco
 ustic and visco-elastic media - Florian Faucher (INRIA Bordeaux - Sud-Oues
 t)
DTSTART:20230623T123000Z
DTEND:20230623T133000Z
UID:TALK202051@talks.cam.ac.uk
DESCRIPTION:Joint work with Otmar Scherzer.\nWe consider the propagation o
 f waves in media with attenuation. Attenuation is a frequency-dependent ph
 enomenon and several constitutive laws exist to consider it\, each leading
  to different models of wave equations. In the inverse problem for the rec
 onstruction of the physical properties from the measurements of waves\, co
 nsidering a medium with attenuation leads to additional unknown coefficien
 ts to recover (those that represent the attenuation)\, while the precise a
 ttenuation law characterizing the medium is also unknown a priori. In this
  work\, we consider the inverse wave problem for visco-acoustic and visco-
 elastic media. We use time-harmonic formulations which allow us to unify t
 he models of attenuation using complex-valued parameters and illustrate th
 e wave propagation depending on the attenuation model. We carry out quanti
 tative reconstruction with attenuation model uncertainty using an iterativ
 e minimization procedure. Furthermore\, we also consider the case of refle
 cting boundaries surrounding the sample\, which lead to multiple reflectio
 ns within the domain and complicate the reconstruction.
LOCATION:Seminar Room 1\, Newton Institute
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