activity
20132023
most citedA Nyström Method for Scattering by a Two-layered Medium with a Rough Boundary

1 citations · 2 across the 7 of their papers we have counts for

collaborators

7 papers

math.NA2023

Direct imaging methods for reconstructing a locally rough interface from phaseless total-field data or phased far-field data

Long Li, Jiansheng Yang, Bo Zhang +1

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…

math.NA2023★ 1 cited

A Nyström Method for Scattering by a Two-layered Medium with a Rough Boundary

Haiyang Liu, Long Li, Jiansheng Yang +2

This paper is concerned with problems of scattering of time-harmonic acoustic waves by a two-layered medium with a non-locally perturbed boundary (called a rough boundary in this p…

math.AP2022

Uniform far-field asymptotics of the two-layered Green function in 2D and application to wave scattering in a two-layered medium

Long Li, Jiansheng Yang, Bo Zhang +1

In this paper, we establish new results for the uniform far-field asymptotics of the two-layered Green function (together with its derivatives) in 2D in the frequency domain. To th…

math.AP2020★ 1 cited

Piecewise-analytic interfaces with weakly singular points of arbitrary order always scatter

Long Li, Guanghui Hu, Jiansheng Yang

It is proved that an inhomogeneous medium whose boundary contains a weakly singular point of arbitrary order scatters every incoming wave. Similarly, a compactly supported source t…

math.NA2020

Imaging of buried obstacles in a two-layered medium with phaseless far-field data

Long Li, Jiansheng Yang, Bo Zhang +1

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 phase…

math.AP2018

Weakly singular corners always scatter

Long Li, Guanghui Hu, Jiansheng Yang

Assume that a bounded scatterer is embedded into an infinite homogeneous isotropic background medium in two dimensions. The refractive index function is supposed to be piecewise co…

math.NA2013

Moment-based cosh-Hilbert Inversion and Its Applications in Single-photon Emission Computed Tomography

Shousheng Luo, Jiansheng Yang, Tie Zhou

The inversion of cosh-Hilbert transform (CHT) is one of the most crucial steps for single-photon emission computed tomography with uniform attenuation from truncated projection dat…