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arXiv · 2511.00367

A computational inverse random source problem for elastic waves

Hao Gu·Tianjiao Wang·Xiang Xu·Yue Zhao
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Abstract

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 significantly reduced. Furthermore, rigorous error analysis is conducted for the proposed method, which gives a quantitative error estimate. Numerical examples are presented to demonstrate effectiveness of the proposed method. Moreover, this method can to be directly applied to stochastic Maxwell equations.

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Hao Gu, Tianjiao Wang, Xiang Xu, Yue Zhao. 2025-11-01. A computational inverse random source problem for elastic waves. https://arxiv.org/abs/2511.00367

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