31 citations · 171 across the 27 of their papers we have counts for
24 papers · 1 filter
An FFT-Accelerated Boundary Integral Equation Method for Wave Scattering by Smooth Surfaces in Three Dimensions
Wenmao Hua, Jun Lai, Huiyi Li +1
For wave scattering by axisymmetric surfaces, the fast Fourier transform (FFT) method provides an effective tool to accelerate standard boundary integral equation (BIE) solvers. Su…
Spectral Convergence of the Multipole Expansion Method for Acoustic Scattering in Three Dimensions
Jinrui Zhang, Jun Lai
Multiple scattering is a fundamental wave interaction phenomenon in acoustics and electromagnetics. The multipole expansion method (MEM) is the basis of many fast algorithms, such…
A fast solver for many-particle elastic scattering in layered media
Jinrui Zhang, Yixiao He, Jun lai
This paper proposes a fast solver for time-harmonic elastic scattering by multiple particles embedded in layered media, with either Dirichlet or Neumann boundary conditions imposed…
DTPFI: A stable algorithm for recovering nonlinear energy potentials in phase field systems
Tianhao Ni, Jun Lai
This work proposes a Dual Time Phase Field Inversion (DTPFI) method for recovering unknown potential functions in phase field models. The reconstruction is formulated as an optimiz…
A Singularity Guided Nyström Method for Elastostatics on Two Dimensional Domains with Corners
Baoling Xie, Jun Lai
We develop a comprehensive analytical and numerical framework for boundary integral equations (BIEs) of the 2D Lamé system on cornered domains. By applying local Mellin analysis on…
Recursive sparse LU decomposition based on nested dissection and low rank approximations
Zhu Xuanru, Lai Jun
When solving partial differential equations (PDEs) using finite difference or finite element methods, efficient solvers are required for handling large sparse linear systems. In th…
Singularity swapping method for nearly singular integrals based on trapezoidal rule
Gang Bao, Wenmao Hua, Jun Lai +1
Accurate evaluation of nearly singular integrals plays an important role in many boundary integral equation based numerical methods. In this paper, we propose a variant of singular…
Selective focusing of elastic cavities based on the time reversal far field model
Jinrui Zhang, Jun Lai
This paper is concerned with the inverse time harmonic elastic scattering of multiple small and well-resolved cavities in two dimensions. We extend the so-called DORT method to the…
A spectral boundary integral method for the elastic obstacle scattering problem in three dimensions
Heping Dong, Jun Lai, Peijun Li
In this paper, we consider the scattering of a plane wave by a rigid obstacle embedded in a homogeneous and isotropic elastic medium in three dimensions. Based on the Helmholtz dec…
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…
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…
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…
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…
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…
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…
A Fast Solver for the Elastic Scattering of Multiple Particles
Jun Lai, Peijun Li
Consider the elastic scattering of a time-harmonic wave by multiple well separated rigid particles in two dimensions. To avoid using the complex Green's tensor of the elastic wave…
An FFT-accelerated direct solver for electromagnetic scattering from penetrable axisymmetric objects
Jun Lai, Michael O'Neil
Fast, high-order accurate algorithms for electromagnetic scattering from axisymmetric objects are of great importance when modeling physical phenomena in optics, materials science…
A fast direct imaging method for the inverse obstacle scattering problem with nonlinear point scatterers
Jun Lai, Ming Li, Peijun Li +1
Consider the scattering of a time-harmonic plane wave by heterogeneous media consisting of linear or nonlinear point scatterers and extended obstacles. A generalized Foldy-Lax form…
Robust integral formulations for electromagnetic scattering from three-dimensional cavities
Jun Lai, Leslie Greengard, Michael O'Neil
Scattering from large, open cavity structures is of importance in a variety of electromagnetic applications. In this paper, we propose a new well conditioned integral equation for…
Second Kind Integral Equation Formulation for the Mode Calculation of Optical Waveguides
Jun Lai, Shidong Jiang
We present a second kind integral equation (SKIE) formulation for calculating the electromagnetic modes of optical waveguides, where the unknowns are only on material interfaces. T…
A new hybrid integral representation for frequency domain scattering in layered media
Jun Lai, Leslie Greengard, Michael O'Neil
A variety of problems in acoustic and electromagnetic scattering require the evaluation of impedance or layered media Green's functions. Given a point source located in an unbounde…
A fast and robust solver for the scattering from a layered periodic structure containing multi-particle inclusions
Jun Lai, Motoki Kobayashi, Alex Barnett
We present a solver for plane wave scattering from a periodic dielectric grating with a large number of inclusions lying in each period of its middle layer.Such composite mater…
A fast solver for multi-particle scattering in a layered medium
Jun Lai, Motoki Kobayashi, Leslie Greengard
In this paper, we consider acoustic or electromagnetic scattering in two dimensions from an infinite three-layer medium with thousands of wavelength-size dielectric particles embed…
A fast direct solver for high frequency scattering from a large cavity in two dimensions
Jun Lai, Sivaram Ambikasaran, Leslie F. Greengard
We present a fast direct solver for the simulation of electromagnetic scattering from an arbitrarily-shaped, large, empty cavity embedded in an infinite perfectly conducting half s…