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20232026
most citedLocal Structure-Preserving Relaxation Method for Charged Systems on Unstructured Meshes

3 citations · 3 across the 5 of their papers we have counts for

collaborators

6 papers

math.AP2026

Convergence of the PML method for scattering problems in poroelastic media

Qianyuan Yin, Changkun Wei, Bo Zhang

This paper is concerned with the time-harmonic wave scattering problems in three dimensional poroelastic media. By introducing an intermediate variable , the original $\mathbf{u…

math.NA2026

Local Relaxation Fast Poisson Methods on Hierarchical Meshes

Zhenli Xu, Qian Yin, Hongyu Zhou

The local relaxation algorithm is promising for fast solution of Poisson's equations, which computes the electric field distribution in a stepwise manner via local curl-free update…

math.AP2026

Convergence of the PML method for thermoelastic wave scattering problems

Qianyuan Yin, Changkun Wei, Bo Zhang

This paper is concerned with the thermoelastic obstacle scattering problem in three dimensions. A uniaxial perfectly matched layer (PML) method is firstly introduced to truncate th…

physics.plasm-ph2025

Intrinsic local Gauss's law preserving PIC method: A self-consistent field-particle update scheme for plasma simulations

Zhonghua Qiao, Zhenli Xu, Qian Yin +1

In order to perform physically faithful particle-in-cell (PIC) simulations, the Gauss's law stands as a critical requirement, since its violation often leads to catastrophic errors…

math.NA2024

Finite-Difference Approximations and Local Algorithm for the Poisson and Poisson-Boltzmann Electrostatics

Bo Li, Qian Yin, Shenggao Zhou

We study finite-difference approximations of both Poisson and Poisson-Boltzmann (PB) electrostatic energy functionals for periodic structures constrained by Gauss' law and a class…

math.NA2023★ 3 cited

Local Structure-Preserving Relaxation Method for Charged Systems on Unstructured Meshes

Zhonghua Qiao, Zhenli Xu, Qian Yin +1

This work considers charged systems described by the modified Poisson--Nernst--Planck (PNP) equations, which incorporate ionic steric effects and the Born solvation energy for diel…