Riemann–Hilbert problem approach for two-dimensional flow inverse scatteringa)
Riemann–Hilbert problem approach for two-dimensional flow inverse scatteringa)
复制标题
二维流逆散射的黎曼-希尔伯特问题方法）
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
R. Novikov
中科院分区：
文献类型：
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作者：
A. Agaltsov;R. Novikov
考虑二维时谐波动方程的逆散射问题。这个问题尤其出现在运动流体的声学层析成像中。我们考虑线性和非线性重建算法的逆散射这个问题。我们的非线性重建算法是基于非局部黎曼-希尔伯特问题的方法。与以前的结果进行了比较。
We consider inverse scattering for the time-harmonic wave equation with first-order perturbation in two dimensions. This problem arises in particular in the acoustic tomography of moving fluid. We consider linearized and nonlinearized reconstruction algorithms for this problem of inverse scattering. Our nonlinearized reconstruction algorithm is based on the non-local Riemann–Hilbert problem approach. Comparisons with preceding results are given.