References & Citations
Mathematics > Numerical Analysis
Title: The linear sampling method for data generated by small random scatterers
(Submitted on 28 Mar 2024)
Abstract: We present an extension of the linear sampling method for solving the sound-soft inverse scattering problem in two dimensions with data generated by randomly distributed small scatterers. The theoretical justification of our novel sampling method is based on a rigorous asymptotic model, a modified Helmholtz--Kirchhoff identity, and our previous work on the linear sampling method for random sources. Our numerical implementation incorporates boundary elements, Singular Value Decomposition, Tikhonov regularization, and Morozov's discrepancy principle. We showcase the robustness and accuracy of our algorithms with a series of numerical experiments.
Submission history
From: Hadrien Montanelli [view email][v1] Thu, 28 Mar 2024 15:10:02 GMT (14568kb,D)
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