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SUMMARY:Solving inverse source wave problem: From observability to observe
 r design - Tiphaine Delaunay (INRIA Saclay - Île-de-France)
DTSTART:20230616T093000Z
DTEND:20230616T100000Z
UID:TALK202540@talks.cam.ac.uk
DESCRIPTION:Tiphaine Delaunay\, S&eacute\;bastien Imperiale\, Philippe Moi
 reauThe objective of this work is to propose a practical method using obse
 rvers to estimate a source term of a wave equation\, from internal measure
 ments in a subdomain &omega\;. The first part of the work consists in prov
 ing an identifiability result from classical observability conditions for 
 wave equations. We deduce that the source reconstruction is an ill-posed i
 nverse problem of order 2. This inverse problem is solved using a sequenti
 al strategy that is proven to be equivalent to a minimization of a cost fu
 nctional with Tikhonov regularization.
LOCATION:Seminar Room 2\, Newton Institute
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