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20172024
most citedConvergence of an adaptive finite element DtN method for the elastic wave scattering by periodic structures

22 citations · 39 across the 13 of their papers we have counts for

collaborators

13 papers

math.NA2024

Numerical solution to the PML problem of the biharmonic wave scattering in periodic structures

Peijun Li, Xiaokai Yuan

Consider the interaction of biharmonic waves with a periodic array of cavities, characterized by the Kirchhoff--Love model. This paper investigates the perfectly matched layer (PML…

math.AP2023

Convergence of the PML method for the biharmonic wave scattering problem in periodic structures

Gang Bao, Peijun Li, Xiaokai Yuan

This paper investigates the scattering of biharmonic waves by a one-dimensional periodic array of cavities embedded in an infinite elastic thin plate. The transparent boundary cond…

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.NA2022★ 1 cited

An Adaptive Finite Element DtN Method for Maxwell's Equations

Gang Bao, Mingming Zhang, Xue Jiang +2

This paper is concerned with a numerical solution to the scattering of a time-harmonic electromagnetic wave by a bounded and impenetrable obstacle in three dimensions. The electrom…

math.NA2021★ 1 cited

An adaptive finite element DtN method for the elastic wave scattering problem in three dimensions

Gang Bao, Peijun Li, Xiaokai Yuan

Consider the elastic scattering of an incident wave by a rigid obstacle in three dimensions, which is formulated as an exterior problem for the Navier equation. By constructing a D…

math.NA2020★ 1 cited

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…

math.NA2020★ 7 cited

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…

math.NA2020

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…

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…

math.AP2017

Inverse elastic surface scattering with far-field data

Huaian Diao, Peijun Li, Xiaokai Yuan

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…

math.AP2017★ 3 cited

Electromagnetic field enhancement in a subwavelength rectangular open cavity

Yixian Gao, Peijun Li, Xiaokai Yuan

Consider the transverse magnetic polarization of the electromagnetic scattering of a plane wave by a perfectly conducting plane surface, which contains a two-dimensional subwavelen…

math.AP2017★ 1 cited

Inverse Obstacle Scattering for Elastic Waves in Three Dimensions

Peijun Li, Xiaokai Yuan

Consider an exterior problem of the three-dimensional elastic wave equation, which models the scattering of a time-harmonic plane wave by a rigid obstacle. The scattering problem i…