31 citations · 171 across the 27 of their papers we have counts for
27 papers
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…