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20172024
most citedRetrieval of acoustic sources from multi-frequency phaseless data

51 citations · 137 across the 23 of their papers we have counts for

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15 papers · 1 filter

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.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.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★ 1 cited

Imaging an acoustic obstacle and its excitation sources from phaseless near-field data

Deyue Zhang, Yue Wu, Yukun Guo

This paper is concerned with reconstructing an acoustic obstacle and its excitation sources from the phaseless near-field measurements. By supplementing some artificial sources to…

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…

math.NA2021

A direct imaging method for the exterior and interior inverse scattering problems

Deyue Zhang, Yue Wu, Yinglin Wang +1

This paper is concerned with the inverse acoustic scattering problems by an obstacle or a cavity with a sound-soft or a sound-hard boundary. A direct imaging method relying on the…

math.NA2021★ 13 cited

A deterministic-statistical approach to reconstruct moving sources using sparse partial data

Yanfang Liu, Yukun Guo, Jiguang Sun

We consider the reconstruction of moving sources using partial measured data. A two-step deterministic-statistical approach is proposed. In the first step, an approximate direct sa…

math.NA2018

A Fourier-Bessel method with a regularization strategy for the boundary value problems of the Helmholtz equation

Deyue Zhang, Fenglin Sun, Yan Ma +1

This paper is concerned with the Fourier-Bessel method for the boundary value problems of the Helmholtz equation in a smooth simply connected domain. Based on the denseness of Four…

math.NA2018★ 3 cited

A reference ball based iterative algorithm for imaging acoustic obstacle from phaseless far-field data

Heping Dong, Deyue Zhang, Yukun Guo

In this paper, we consider the inverse problem of determining the location and the shape of a sound-soft obstacle from the modulus of the far-field data for a single incident plane…

math.NA2017★ 1 cited

Solving the multi-frequency electromagnetic inverse source problem by the Fourier method

Guan Wang, Fuming Ma, Yukun Guo +1

This work is concerned with an inverse problem of identifying the current source distribution of the time-harmonic Maxwell's equations from multi-frequency measurements. Motivated…