[Eoas-seminar] [Seminar-announce] Scientific Computing Colloquium with Carlos Borges

[eoas-seminar at lists.fsu.edu]

"Inverse Scattering Problems: A framework for high-resolution parameter reconstruction"

Carlos Borges
College of Sciences, University of Central Florida (UCF)

Please feel free to forward/share this invitation with other groups/disciplines that might be interested in this talk/topic. All are welcome to attend.

NOTE: In-person attendance is requested. Zoom access is intended for external (non-departmental) participants only.

https://fsu.zoom.us/j/94273595552
Meeting # 942 7359 5552

🎦 Colloquium recordings will be made available here, https://www.sc.fsu.edu/colloquium

Wednesday, Dec 06, 2023, Schedule:

* 3:00 to 3:30 PM Eastern Time (US and Canada)
☕ Nespresso & Teatime - 417 DSL Commons

* 3:30 to 4:30 PM Eastern Time (US and Canada)
🕟 Colloquium - 499 DSL Seminar Room

Abstract:
We present a fast, accurate, and stable algorithm for the solution of the inverse acoustic scattering problems. Given full aperture far field measurements of the scattered field for multiple angles of incidence, we use a continuation-in-frequency scheme based in Chen's method of recursive linearization to reconstruct unknown parameters of a domain with high resolution in a fully nonlinear regime. Despite the fact that the underlying optimization problem is formally ill-posed, non-linear, and non-convex, our scheme requires only the solution of a sequence of linear least squares problems at successively higher frequencies. By seeking a suitably band-limited approximation of the parameters, the solution of each iteration of the nonlinear optimization method is well-conditioned and involves the solution of forward scattering problems, for which we employ fast analysis-based solvers to solve integral representations to a PDE. We present compelling results obtained through the application of our framework to various manifestations of the inverse scattering problem, encompassing both penetrable and impenetrable obstacles in two dimensions. Our findings underscore the adaptability of the framework, showcasing its potential extension to three-dimensional problems—an exciting avenue for future exploration in our ongoing research endeavors.

Additional colloquium details can be found here,
https://www.sc.fsu.edu/news-and-events/colloquium/1765-colloquium-with-carlos-borges-2023-12-06
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