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math.NA2024
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…
math.NA2023★ 1 cited
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…
math.NA2023
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…