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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★ 1 cited
A fast spectral sum-of-Gaussians method for electrostatic summation in quasi-2D systems
Xuanzhao Gao, Shidong Jiang, Jiuyang Liang +2
The quasi-2D electrostatic systems, characterized by periodicity in two dimensions with a free third dimension, have garnered significant interest in many fields. We apply the sum-…
math.NA2024
Random Batch Ewald Method for Dielectrically Confined Coulomb Systems
Zecheng Gan, Xuanzhao Gao, Jiuyang Liang +1
Quasi two-dimensional Coulomb systems have drawn widespread interest. The reduced symmetry of these systems leads to complex collective behaviors, yet simultaneously poses signific…