Scientific Computing Seminar: Carlos Borges

Thursday Oct 20, 2022, 10:00 AM → 11:00 AM America/New_York

3rd Floor Classroom/3-Flatiron Institute (162 5th Avenue)

Presenter: Carlos Borges UCF

 

On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary

 

The acoustic inverse obstacle scattering problem consists of determining the shape of a domain from measurements of the scattered far field due to some set of incident fields (probes). For a penetrable object with known sound speed, this can be accomplished by
treating the boundary alone as an unknown curve. Alternatively, one can treat the entire object as unknown and use a more general  volumetric representation, without making use of the known sound speed. Both lead to strongly nonlinear and nonconvex optimization problems for which recursive linearization provides a useful framework for numerical analysis.
After extending our shape optimization approach developed earlier for impenetrable bodies,
we carry out a systematic study of both methods and compare their performance on a variety of examples. Our findings indicate that the volumetric approach is more robust, even though the number of degrees of freedom is significantly larger. We conclude with a discussion of this
phenomenon and potential directions for further research.