40 citations · 246 across the 65 of their papers we have counts for
13 papers · 1 filter
Numerical solution of an inverse random source problem for the time fractional diffusion equation via PhaseLift
Yuxuan Gong, Peijun Li, Xu Wang +1
This paper is concerned with the inverse random source problem for a stochastic time fractional diffusion equation, where the source is assumed to be driven by a Gaussian random fi…
An inverse random source problem for the one-dimensional Helmholtz equation with attenuation
Peijun Li, Xu Wang
This paper is concerned with an inverse random source problem for the one-dimensional stochastic Helmholtz equation with attenuation. The source is assumed to be a microlocally iso…
Analysis of the time-domain PML problem for Maxwell's equations in a waveguide
Yanli Chen, Peijun Li, Xu Wang
This paper is concerned with the mathematical analysis of the time-domain electromagnetic scattering problem in an infinite rectangular waveguide. A transparent boundary condition…
A fast algorithm for the electromagnetic scattering from a large rectangular cavity in three dimensions
Yanli Chen, Xue Jiang, Jun Lai +1
The paper is concerned with the three-dimensional electromagnetic scattering from a large open rectangular cavity that is embedded in a perfectly electrically conducting infinite g…
An adaptive finite element DtN method for the elastic wave scattering by biperiodic structures
Gang Bao, Xue Jiang, Peijun Li +1
Consider the scattering of a time-harmonic elastic plane wave by a bi-periodic rigid surface. The displacement of elastic wave motion is modeled by the three-dimensional Navier equ…
A highly accurate boundary integral method for the elastic obstacle scattering problem
Heping Dong, Jun Lai, Peijun Li
Consider the scattering of a time-harmonic plane wave by a rigid obstacle embedded in a homogeneous and isotropic elastic medium in two dimensions. In this paper, a novel boundary…
Regularity of distributional solutions to stochastic acoustic and elastic scattering problems
Peijun Li, Xu Wang
This paper is concerned with the well-posedness and regularity of the distributional solutions for the stochastic acoustic and elastic scattering problems. We show that the regular…
Lipschitz stability for an inverse source scattering problem at a fixed frequency
Peijun Li, Jian Zhai, Yue Zhao
This paper is concerned with an inverse source problem for the three-dimensional Helmholtz equation by a single boundary measurement at a fixed frequency. We show the Lipschitz sta…
Inverse Elastic Scattering for a Random Potential
Jianliang Li, Peijun Li, Xu Wang
This paper is concerned with an inverse scattering problem for the time-harmonic elastic wave equation with a random potential. Interpreted as a distribution, the potential is assu…
An adaptive finite element PML method for the open cavity scattering problems
Yanli Chen, Peijun Li, Xiaokai Yuan
Consider the electromagnetic scattering of a time-harmonic plane wave by an open cavity which is embedded in a perfectly electrically conducting infinite ground plane. This paper i…
An adaptive finite element DtN method for the open cavity scattering problems
Xiaokai Yuan, Gang Bao, Peijun Li
Consider the scattering of a time-harmonic electromagnetic plane wave by an open cavity which is embedded in a perfectly electrically conducting infinite ground plane. This paper c…
An inverse random source problem for Maxwell's equations
Peijun Li, Xu Wang
This paper is concerned with an inverse random source problem for the three-dimensional time-harmonic Maxwell equations. The source is assumed to be a centered complex-valued Gauss…
An adaptive finite element DtN method for the three-dimensional acoustic scattering problem
Gang Bao, Mingming Zhang, Bin Hu +1
This paper is concerned with a numerical solution of the acoustic scattering by a bounded impenetrable obstacle in three dimensions. The obstacle scattering problem is formulated a…