Abstract
We study the numerical approximation of the inverse scattering problem in the two-dimensional homogeneous isotropic linear elasticity with an unknown linear load given by a square matrix. For both backscattering data and fixed-angle scattering data, we show how to obtain numerical approximations of the so-called Born approximations and propose new iterative algorithms that provide sequences of approximations to the unknown load. Numerical evidences of the convergence for not too large loads are also given.
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This work is supported by the Spanish Grant PID2021-124195NB-C31.
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Communicated by: Stéphanie Chaillat
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Barceló, J.A., Castro, C. & Vilela, M.C. Live load matrix recovery from scattering data in linear elasticity. Adv Comput Math 49, 88 (2023). https://doi.org/10.1007/s10444-023-10087-3
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DOI: https://doi.org/10.1007/s10444-023-10087-3