3 papers
math.NA2026
A Spectral Solver for Acoustic Scattering by Multiple Quasi-Axisymmetric Structures
Jun Lai, Yuxin Li
Acoustic scattering arises in a wide range of applications, including medical imaging, geophysical exploration, acoustic metamaterials, etc. In this paper, we develop a fast and hi…
math.AP2024
A uniqueness theory on determining the nonlinear energy potential in phase-field system
Tianhao Ni, Jun Lai
The phase-field system is a nonlinear model that has significant applications in material sciences. In this paper, we are concerned with the uniqueness of determining the nonlinear…
math.NA2023
A robust and high precision algorithm for elastic scattering problems from cornered domains
Jianan Yao, Baoling Xie, Jun Lai
The Navier equation is the governing equation of elastic waves, and computing its solution accurately and rapidly has a wide range of applications in geophysical exploration, mater…