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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.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…