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20182021
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math.NA2021

A fast solver for elastic scattering from axisymmetric objects by boundary integral equations

Jun Lai, Heping Dong

Fast and high-order accurate algorithms for three dimensional elastic scattering are of great importance when modeling physical phenomena in mechanics, seismic imaging, and many ot…

math.NA2020

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…

math.NA2020

Inverse scattering reconstruction of a three dimensional sound-soft axis-symmetric impenetrable object

Carlos Borges, Jun Lai

In this work, we consider the problem of reconstructing the shape of a three dimensional impenetrable sound-soft axis-symmetric obstacle from measurements of the scattered field at…

math.NA2019

On Wellposedness and Convergence of UPML method for analyzing wave scattering in layered media

Wangtao Lu, Jun Lai, Haijun Wu

This paper proposes a novel method to establish the wellposedness and convergence theory of the uniaxial-perfectly-matched-layer (UPML) method in solving a two-dimensional acoustic…

math.NA2019

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…