Solving an inverse obstacle problem for the wave equation by using the boundary control method
Solving an inverse obstacle problem for the wave equation by using the boundary control method
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DOI：
10.1088/0266-5611/29/3/035004
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发表时间：
2012-10
期刊：
影响因子：
2.1
通讯作者：
L. Oksanen
中科院分区：
文献类型：
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作者：
L. Oksanen
我们在Oksanen （2011 arXiv:1106.3204）中介绍了一种利用双曲Neumann-to-Dirichlet算子模拟的声学边界测量来定位二维波速不连续的方法。本文将该方法推广到任意维的声音障碍物。用模拟噪声数据进行了数值实验，结果表明该方法对测量噪声具有较强的鲁棒性。
We introduced in Oksanen (2011 arXiv:1106.3204) a method to locate discontinuities of a wave speed in dimension 2 from acoustic boundary measurements modeled by the hyperbolic Neumann-to-Dirichlet operator. Here we extend the method for sound hard obstacles in arbitrary dimension. We present numerical experiments with simulated noisy data suggesting that the method is robust against measurement noise.