中文
相关论文

相关论文: Near-field imaging of an unbounded elastic rough s…

200 篇论文

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

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

This paper is concerned with inverse scattering of plane waves by a locally perturbed infinite plane (which is called a locally rough surface) with the modulus of the total-field data (also called the phaseless near-field data) at a fixed…

数值分析 · 数学 2018-08-28 Xiaoxu Xu , Bo Zhang , Haiwen Zhang

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 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

Consider the inverse scattering of time-harmonic acoustic scattering by an infinite rough surface which is supposed to be a local perturbation of a plane. A novel version of reverse time migration (RTM) is proposed to reconstruct the shape…

偏微分方程分析 · 数学 2023-10-24 Jianliang Li , Hao Wu , Jiaqing Yang

A rigorous mathematical model and an efficient computational method are proposed to solving the inverse elastic surface scattering problem which arises from the near-field imaging of periodic structures. We demonstrate how an enhanced…

偏微分方程分析 · 数学 2017-12-08 Huaian Diao , Peijun Li , Xiaokai Yuan

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

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

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 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

Consider the problem of inverse scattering of time-harmonic point sources from an infinite, penetrable rough interface with bounded obstacles buried in the lower half-space, where the interface is assumed to be a local perturbation of a…

偏微分方程分析 · 数学 2020-09-02 Jianliang Li , Jiaqing Yang , Bo Zhang

Assume a time-harmonic elastic wave is incident onto a penetrable anisotropic body embedded into a homogeneous isotropic background medium. We propose an equivalent variational formulation in a truncated bounded domain and show the…

偏微分方程分析 · 数学 2016-12-21 Gang Bao , Guanghui Hu , Jiguang Sun , Tao Yin

We propose a direct imaging method based on the reverse time migration to reconstruct extended obstacles in the half space with finite aperture elastic scattering data at a fixed frequency. We prove the resolution of the reconstruction…

数值分析 · 数学 2019-07-24 Zhiming Chen , Shiqi Zhou

We consider the numerical algorithm for the two-dimensional time-harmonic elastic wave scattering by unbounded rough surfaces with Dirichlet boundary condition. A Nystr\"{o}m method is proposed for the scattering problem based on the…

数值分析 · 数学 2021-08-06 Jianliang Li , Xiaoli Liu , Bo Zhang , Haiwen Zhang

This paper concerns an inverse elastic scattering problem which is to determine the location and the shape of a rigid obstacle from the phased or phaseless far-field data for a single incident plane wave. By introducing the Helmholtz…

偏微分方程分析 · 数学 2018-12-03 Heping Dong , Jun Lai , Peijun Li

We consider the inverse scattering problem to reconstruct a local perturbation of a given inhomogeneous periodic layer in $\mathbb{R}^d$, $d=2,3$, using near field measurements of the scattered wave on an open set of the boundary above the…

偏微分方程分析 · 数学 2024-12-20 Alexander Konschin , Armin Lechleiter

Direct imaging methods recover the presence, position, and shape of the unknown obstacles in time-harmonic inverse scattering without a priori knowledge of either the physical properties or the number of disconnected components of the…

偏微分方程分析 · 数学 2023-11-29 General Ozochiawaeze

This paper concerns the inverse shape problem of recovering an unknown clamped cavity embedded in a thin infinite plate. The model problem is assumed to be governed by the two-dimensional biharmonic wave equation in the frequency domain.…

偏微分方程分析 · 数学 2025-01-22 Isaac Harris , Heejin Lee , Peijun Li

This paper is concerned with the inverse obstacle scattering problem with phaseless far-field data at a fixed frequency. The main difficulty of this problem is the so-called translation invariance property of the modulus of the far-field…

数值分析 · 数学 2018-08-29 Bo Zhang , Haiwen Zhang
‹ 上一页 1 2 3 10 下一页 ›