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20162023
most citedAn inverse random source problem for the time fractional diffusion equation driven by a fractional Brownian motion

40 citations · 246 across the 65 of their papers we have counts for

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Showing 2019Show all

7 papers · 1 filter

math.AP2019★ 8 cited

Inverse scattering for the one-dimensional Helmholtz equation with piecewise constant wave speed

Sophia Bugarija, Peter C. Gibson, Guanghui Hu +2

This paper analyzes inverse scattering for the one-dimensional Helmholtz equation in the case where the wave speed is piecewise constant. Scattering data recorded for an arbitraril…

math.AP2019★ 2 cited

Inverse random source scattering for the Helmholtz equation with attenuation

Peijun Li, Xu Wang

In this paper, a new model is proposed for the inverse random source scattering problem of the Helmholtz equation with attenuation. The source is assumed to be driven by a fraction…

math.AP2019★ 40 cited

An inverse random source problem for the time fractional diffusion equation driven by a fractional Brownian motion

Xiaoli Feng, Peijun Li, Xu Wang

This paper is concerned with the mathematical analysis of the inverse random source problem for the time fractional diffusion equation, where the source is assumed to be driven by…

math.AP2019

Elastic scattering from rough surfaces in three dimensions

Guanghui Hu, Peijun Li, Yue Zhao

Consider the elastic scattering of a plane or point incident wave by an unbounded and rigid rough surface. The angular spectrum representation (ASR) for the time-harmonic Navier eq…

math.NA2019★ 22 cited

An inverse acoustic-elastic interaction problem with phased or phaseless far-field data

Heping Dong, Jun Lai, Peijun Li

Consider the scattering of a time-harmonic acoustic plane wave by a bounded elastic obstacle which is immersed in a homogeneous acoustic medium. This paper concerns an inverse acou…

math.NA2019★ 22 cited

Convergence of an adaptive finite element DtN method for the elastic wave scattering by periodic structures

Peijun Li, Xiaokai Yuan

Consider the scattering of a time-harmonic elastic plane wave by a periodic rigid surface. The elastic wave propagation is governed by the two-dimensional Navier equation. Based on…

math.NA2019★ 3 cited

Convergence of an adaptive finite element DtN method for the elastic wave scattering problem

Peijun Li, Xiaokai Yuan

Consider the scattering of an elastic plane wave by a rigid obstacle, which is immersed in a homogeneous and isotropic elastic medium in two dimensions. Based on a Dirichlet-to-Neu…