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相关论文: Near-field imaging of a locally rough interface an…

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This paper is concerned with the inverse problem of time-harmonic acoustic scattering by an unbounded, locally rough interface which is assumed to be a local perturbation of a plane. The purpose of this paper is to recover the local…

偏微分方程分析 · 数学 2020-08-05 Jianliang Li , Jiaqing Yang , Bo Zhang

Consider the inverse acoustic scattering of time-harmonic point sources by an unbounded locally rough interface with bounded obstacles embedded in the lower half-space. A novel version of reverse time migration is proposed to reconstruct…

数值分析 · 数学 2022-11-22 Jianliang Li , Jiaqing Yang

Consider the scattering of time-harmonic point sources by an infinite locally rough interface with bounded obstacles embedded in the lower half-space. The model problem is first reduced to an equivalent integral equation formulation defined…

偏微分方程分析 · 数学 2022-04-06 Jiaqing Yang , Jianliang Li , Bo Zhang

This paper is concerned with the problem of inverse scattering of time-harmonic acoustic plane waves by a two-layered medium with a locally rough interface in 2D. A direct imaging method is proposed to reconstruct the locally rough…

数值分析 · 数学 2023-05-11 Long Li , Jiansheng Yang , Bo Zhang , Haiwen Zhang

This paper is concerned with the inverse scattering problem by an unbounded rough surface. A direct imaging method is proposed to reconstruct the rough surface from the scattered near-field Cauchy data generating by point sources and…

数值分析 · 数学 2018-05-01 Xiaoli Liu , Bo Zhang , Haiwen Zhang

The inverse problem we consider is to reconstruct the location and shape of buried obstacles in the lower half-space of an unbounded two-layered medium in two dimensions from phaseless far-field data. A main difficulty of this problem is…

数值分析 · 数学 2021-05-26 Long Li , Jiansheng Yang , Bo Zhang , Haiwen Zhang

This paper is concerned with the inverse time-harmonic elastic scattering problem of recovering unbounded rough surfaces in two dimensions. We assume that elastic plane waves with different directions are incident onto a rigid rough surface…

数值分析 · 数学 2018-04-09 Guanghui Hu , Xiaoli Liu , Bo Zhang , Haiwen Zhang

In this paper, we consider the direct and inverse problem of scattering of time-harmonic waves by an unbounded rough interface with a buried impenetrable obstacle. We first study the well-posedness of the direct problem with a local source…

偏微分方程分析 · 数学 2017-01-09 Yulong Lu , Bo Zhang

This paper is concerned with the inverse problem of scattering of time-harmonic acoustic waves from a penetrable and buried obstacles. By introducing a related transmission scattering problem, a Newton iteration method is proposed to…

数值分析 · 数学 2015-06-12 Haiwen Zhang , Bo Zhang

This paper investigates the inverse biharmonic scattering problems of identifying the shape and location of the obstacle with phased and phaseless measurement data. A direct imaging method based on reverse time migration is proposed for…

偏微分方程分析 · 数学 2026-05-12 Tielei Zhu , Zhihao Ge

This paper is concerned with a nonlinear imaging problem, which aims to reconstruct a locally perturbed, perfectly reflecting, infinite plane from intensity-only (or phaseless) far-field or near-field data. A recursive Newton iteration…

数值分析 · 数学 2017-06-06 Bo Zhang , Haiwen Zhang

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 the inverse scattering system, this co-inversion problem can…

数值分析 · 数学 2022-12-20 Deyue Zhang , Yue Wu , Yukun Guo

This paper is concerned with the inverse scattering problem of time-harmonic elastic waves by an unbounded rigid rough surface. A direct imaging method is developed to reconstruct the unbounded rough surface from the elastic scattered…

数值分析 · 数学 2018-04-17 Xiaoli Liu , Bo Zhang , Haiwen Zhang

We propose a novel iterative numerical method to solve the three-dimensional inverse obstacle scattering problem of recovering the shape of the obstacle from far-field measurements. To address the inherent ill-posed nature of the inverse…

数值分析 · 数学 2024-04-18 Junqing Chen , Bangti Jin , Haibo Liu

Consider the two-dimensional inverse elastic wave scattering by an infinite rough surface with a Dirichlet boundary condition. A non-interative sampling technique is proposed for detecting the rough surface by taking elastic wave…

偏微分方程分析 · 数学 2020-12-15 Tielei Zhu , Jiaqing Yang

This paper is devoted to a novel quantitative imaging scheme of identifying impenetrable obstacles in time-harmonic acoustic scattering from the associated far-field data. The proposed method consists of two phases. In the first phase, we…

数值分析 · 数学 2023-07-05 Youzi He , Hongyu Liu , Xianchao Wang

This paper addresses the inverse problem of qualitatively recovering a clamped cavity in a thin elastic plate using far-field measurements. We present a strengthened analysis of the linear sampling method by carefully examining the range of…

偏微分方程分析 · 数学 2025-09-04 Isaac Harris , Peijun Li , General Ozochiawaeze

We consider the inverse elastic scattering problems using the far field data due to one incident plane wave. A simple method is proposed to reconstruct the location and size of the obstacle using different components of the far field…

偏微分方程分析 · 数学 2019-04-09 J Liu , X. Liu , J. Sun

A new sampling method for inverse scattering problems is proposed to process far field data of one incident wave. As the linear sampling method, the method sets up ill-posed integral equations and uses the (approximate) solutions to…

偏微分方程分析 · 数学 2018-08-01 Juan Liu , Jiguang Sun

In this work, we consider the problem of reconstructing the shape of a three dimensional impenetrable sound-soft axis-symmetric obstacle from measurements of the scattered field at multiple frequencies. This problem has important…

数值分析 · 数学 2020-10-28 Carlos Borges , Jun Lai
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