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SUMMARY:Isaac Harris (Purdue University)
DTSTART:20220414T160000Z
DTEND:20220414T170000Z
DTSTAMP:20260423T021147Z
UID:Inverse/88
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Inverse/88/"
 >Regularization of the Factorization Method with Applications</a>\nby Isaa
 c Harris (Purdue University) as part of International Zoom Inverse Problem
 s Seminar\, UC Irvine\n\n\nAbstract\nIn this talk\, we discuss a new regul
 arized version of the Factorization Method. The Factorization Method uses 
 Picard’s Criteria to define an indicator function to image an unknown re
 gion. In most applications\, the data operator is compact which gives that
  the singular values can tend to zero rapidly which can cause numerical in
 stabilities. The regularization of the Factorization Method presented here
  seeks to avoid the numerical instabilities in applying Picard’s Criteri
 a. This method allows one to image the interior structure of an object wit
 h little a priori information in a computationally simple and analytically
  rigorous way. Here we will focus on an application of this method to diff
 use optical tomography which will prove that this method can be used to re
 cover an unknown subregion from the Dirichlet-to-Neumann mapping.\n
LOCATION:https://researchseminars.org/talk/Inverse/88/
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