2 papers
math.NA2026
A multi-mesh adaptive finite element method for solving the Gross-Pitaevskii equation
Mingzhe Li, Yang Kuang, Zhicheng Hu
It is found that the wave functions of the Gross-Pitaevskii equation (GPE) often vary significantly in different spatial regions, with some components exhibiting sharp variations w…
math.NA2024
A high-order accurate moving mesh finite element method for the radial Kohn--Sham equation
Zheming Luo, Yang Kuang
In this paper, we introduce a highly accurate and efficient numerical solver for the radial Kohn--Sham equation. The equation is discretized using a high-order finite element metho…