activity
20242026
collaborators

5 papers

math.AP2026

A Deep Learning-Enhanced Fourier Method for the Multi-Frequency Inverse Source Problem with Sparse Far-Field Data

Hao Chen, Yan Chang, Yukun Guo +1

This paper introduces a hybrid computational framework for the multi-frequency inverse source problem governed by the Helmholtz equation. By integrating a classical Fourier method…

math.NA2025

Inverse problems for elastic wave from Partial Cauchy Data: Uniqueness and Co-inversion for Shape and Impedance Function

Yao Sun, Yan Chang, Yukun Guo

We consider an inverse problem for the elastic wave of simultaneously reconstructing the impedance and the geometric information of the bounded body that is occupied by a homogeneo…

math.NA2024

Recovering the sources in the stochastic wave equations from multi-frequency far-field patterns

Yan Chang, Yukun Guo, Zhipeng Yang +1

This paper concerns the inverse source scattering problems of recovering random sources for acoustic and elastic waves. The underlying sources are assumed to be random functions dr…

math.NA2024

Identifying an acoustic source in a two-layered medium from multi-frequency phased or phaseless far-field patterns

Yan Chang, Yukun Guo, Yue Zhao

This paper presents a method for reconstructing an acoustic source located in a two-layered medium from multi-frequency phased or phaseless far-field patterns measured on the upper…

math.NA2024

The inverse obstacle scattering with incident tapered waves

Deyue Zhang, Mengjiao Bai, Yan Chang +1

This paper is concerned with the reconstruction of the shape of an acoustic obstacle. Based on the use of the tapered waves with very narrow widths illuminating the obstacle, the b…