A computational inverse random source problem for elastic waves
Hao Gu, Tianjiao Wang, Xiang Xu, Yue Zhao
本文研究了三维弹性波的反向随机源问题,其中源被假定由添加剂白噪声驱动。 提出了一种新的计算方法,用于从波场的相关性边界测量中重建随机源的方差。 与现有的多频迭代方法相比,我们的方法是非迭代的,只需要一个频率的数据。 因此,计算成本显著降低。 此外,对建议的方法进行了严格的误差分析,从而给出了定量误差估计。 提出了数字示例,以证明拟议方法的有效性。 而且,这种方法可以直接应用于随机的麦克斯韦方程。
This paper investigates the inverse random source problem for elastic waves in three dimensions, where the source is assumed to be driven by an additive white noise. A novel computational method is proposed for reconstructing the variance of the random source from the correlation boundary measurement of the wave field. Compared with existing multi-frequency iterative approaches, our method is non-iterative and requires data at only a single frequency. As a result, the computational cost is signi...