论文标题
从线性弹性中的散射数据中恢复活负载矩阵
Live load matrix recovery from scattering data in linear elasticity
论文作者
论文摘要
我们研究了二维均质各向同性线性弹性中反向散射问题的数值近似，而正方形基质给出了未知的线性载荷。对于反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BORN近似值的数值近似值，并提出了新的迭代算法，以提供未知负载的近似值序列。还给出了不大载荷的收敛的数值证据。
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.
