activity
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 2023Show all

7 papers · 1 filter

math.NA2023

A highly efficient and accurate numerical method for the electromagnetic scattering problem with rectangular cavities

Peijun Li, Xiaokai Yuan

This paper presents a robust numerical solution to the electromagnetic scattering problem involving multiple multi-layered cavities in both transverse magnetic and electric polariz…

math.NA2023★ 1 cited

Numerical solution of the cavity scattering problem for flexural waves on thin plates: linear finite element methods

Junhong Yue, Peijun Li

Flexural wave scattering plays a crucial role in optimizing and designing structures for various engineering applications. Mathematically, the flexural wave scattering problem on a…

math.AP2023

Stability for inverse source problems of the stochastic Helmholtz equation with a white noise

Peijun Li, Ying Liang

This paper is concerned with the stability estimates for inverse source problems of the stochastic Helmholtz equation driven by white noise. The well-posedness is established for t…

math.NA2023★ 4 cited

Inverse scattering of periodic surfaces with a superlens

Peijun Li, Yuliang Wang

We propose a scheme for imaging periodic surfaces using a superlens. By employing an inverse scattering model and the transformed field expansion method, we derive an approximate r…

math.NA2023★ 7 cited

A data-assisted two-stage method for the inverse random source problem

Peijun Li, Ying Liang, Yuliang Wang

We propose a data-assisted two-stage method for solving an inverse random source problem of the Helmholtz equation. In the first stage, the regularized Kaczmarz method is employed…

math.AP2023

An inverse potential problem for the stochastic diffusion equation with a multiplicative white noise

Xiaoli Feng, Peijun Li, Xu Wang

This work concerns the direct and inverse potential problems for the stochastic diffusion equation driven by a multiplicative time-dependent white noise. The direct problem is to e…

math.NA2023★ 1 cited

A novel boundary integral formulation for the biharmonic wave scattering problem

Heping Dong, Peijun Li

This paper is concerned with the cavity scattering problem in an infinite thin plate, where the out-of-plane displacement is governed by the two-dimensional biharmonic wave equatio…