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.

中文翻译：

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从线弹性散射数据恢复活荷载矩阵

我们研究了二维均匀各向同性线弹性中逆散射问题的数值近似，线性载荷由方阵给出。对于后向散射数据和固定角度散射数据，我们展示了如何获得所谓的玻恩近似的数值近似，并提出了新的迭代算法，为未知负载提供近似序列。还给出了在不太大的载荷下收敛的数值证据。