activity
20192022
most citedA parametric Bayesian level set approach for acoustic source identification using multiple frequency information

2 citations · 3 across the 6 of their papers we have counts for

collaborators

5 papers

math.NA2021

A Bayesian level set method for an inverse medium scattering problem in acoustics

J. Huang, Z. Deng, L. Xu

In this work, we are interested in the determination of the shape of the scatterer for the two dimensional time harmonic inverse medium scattering problems in acoustics. The scatte…

math.NA2019

An ensemble Kalman filter approach based on level set parameterization for acoustic source identification using multiple frequency information

Zhiliang Deng, Xiaomei Yang

The spatial dependent unknown acoustic source is reconstructed according noisy multiple frequency data on a remote closed surface. Assume that the unknown function is supported on…

math.NA20192 cited

A parametric Bayesian level set approach for acoustic source identification using multiple frequency information

Zhiliang Deng, Xiaomei Yang, Jiangfeng Huang

The reconstruction of the unknown acoustic source is studied using the noisy multiple frequency data on a remote closed surface. Assume that the unknown source is coded in a spatia…

math.NA2019

Bayesian approach for inverse obstacle scattering with Poisson data

Xiaomei Yang, Zhiliang Deng

We consider an acoustic obstacle reconstruction problem with Poisson data. Due to the stochastic nature of the data, we tackle this problem in the framework of Bayesian inversion.…

math.AP2019

Limited Aperture Inverse Scattering Problems using Bayesian Approach and Extended Sampling Method

Zhaoxiang Li, Zhiliang Deng, Jiguang Sun

Inverse scattering problems have many important applications. In this paper, given limited aperture data, we propose a Bayesian method for the inverse acoustic scattering to recons…