Localization of moving sources: uniqueness, stability, and Bayesian inference
Analysis of PDEs
2022-04-12 v1
Abstract
We consider the subsonic moving point source problem for the scalar wave equation in , proving a regularity result for the direct problem, and uniqueness and stability results for the inverse problem. We then present and investigate numerically a Bayesian framework for the inference of the source trajectory and intensity from wave field measurements. The framework employs Gaussian process priors, the pre-conditioned Crank-Nicholson scheme with Markov Chain Monte Carlo sampling, and conditioning on functionals to include prior information on the source trajectory.
Cite
@article{arxiv.2204.04465,
title = {Localization of moving sources: uniqueness, stability, and Bayesian inference},
author = {Sára Wang and Mirza Karamehmedović and Faouzi Triki},
journal= {arXiv preprint arXiv:2204.04465},
year = {2022}
}