An Acousto-electric Inverse Source Problem
An Acousto-electric Inverse Source Problem
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DOI：
10.1137/21m1406568
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发表时间：
2021-01
期刊：
影响因子：
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通讯作者：
Wei Li;J. Schotland;Yang Yang-Yang;Yimin Zhong
中科院分区：
文献类型：
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作者：
Wei Li;J. Schotland;Yang Yang-Yang;Yimin Zhong
我们提出了一种从电势的隔音边界测量值中重建导电介质内部电流密度的方法。我们表明，电流可以通过Lipschitz稳定性唯一地重建。我们还执行数值模拟以说明分析结果，并在仅在边界的一部分上进行测量时探索部分数据设置。
We propose a method to reconstruct the electrical current density inside a conducting medium from acoustically-modulated boundary measurements of the electric potential. We show that the current can be uniquely reconstructed with Lipschitz stability. We also perform numerical simulations to illustrate the analytical results, and explore the partial data setting when measurements are taken only on part of the boundary.