activity
20222026
most citedRecovering source location, polarization, and shape of obstacle from elastic scattering data

14 citations · 27 across the 12 of their papers we have counts for

collaborators

12 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.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…

math.AP2024

Direct and Inverse scattering in a three-dimensional planar waveguide

Yan Chang, Yukun Guo, Yue Zhao

In this paper, we study the direct and inverse scattering of the Schrödinger equation in a three-dimensional planar waveguide. For the direct problem, we derive a resonance-free re…

math.NA2024

Inverse source problem of the biharmonic equation from multi-frequency phaseless data

Yan Chang, Yukun Guo, Yue Zhao

This work deals with an inverse source problem for the biharmonic wave equation. A two-stage numerical method is proposed to identify the unknown source from the multi-frequency ph…

math.NA2024

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.NA2023

A novel Newton method for inverse elastic scattering problems

Yan Chang, Yukun Guo, Hongyu Liu +1

This work is concerned with an inverse elastic scattering problem of identifying the unknown rigid obstacle embedded in an open space filled with a homogeneous and isotropic elasti…

math.NA2023

Mathematical and numerical study of an inverse source problem for the biharmonic wave equation

Yan Chang, Yukun Guo, Tao Yin +1

In this paper, we study the inverse source problem for the biharmonic wave equation. Mathematically, we characterize the radiating sources and non-radiating sources at a fixed wave…

math.NA2023

Jointly determining the point sources and obstacle from Cauchy data

Deyue Zhang, Yan Chang, Yukun Guo

A numerical method is developed for recovering both the source locations and the obstacle from the scattered Cauchy data of the time-harmonic acoustic field. First of all, the inci…

math.NA2023★ 14 cited

Recovering source location, polarization, and shape of obstacle from elastic scattering data

Yan Chang, Yukun Guo, Hongyu Liu +1

We consider an inverse elastic scattering problem of simultaneously reconstructing a rigid obstacle and the excitation sources using near-field measurements. A two-phase numerical…

math.NA2022★ 13 cited

Co-inversion of a scattering cavity and its internal sources: uniqueness, decoupling and imaging

Deyue Zhang, Yukun Guo, Yinglin Wang +1

This paper concerns the simultaneous reconstruction of a sound-soft cavity and its excitation sources from the total-field data. Using the single-layer potential representations on…