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arXiv · 2205.09558

Live load matrix recovery from scattering data in linear elasticity

J. A. Barceló·C. Castro·M. C. Vilela
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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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J. A. Barceló, C. Castro, M. C. Vilela. 2022-05-19. Live load matrix recovery from scattering data in linear elasticity. https://arxiv.org/abs/2205.09558

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