On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation
Numerical Analysis
2021-03-05 v1 Numerical Analysis
Abstract
Based on the numerical method proposed in [G. Hu, X. Xie, F. Xu, J. Comput. Phys., 355 (2018), 436-449.] for Kohn-Sham equation, further improvement on the efficiency is obtained in this paper by i). designing a numerical method with the strategy of separately handling the nonlinear Hartree potential and exchange-correlation potential, and ii).parallelizing the algorithm in an eigenpairwise approach. The feasibility of two approaches are analyzed in detail, and the new algorithm is described completely. Compared with previous results, a significant improvement of numerical efficiency can be observed from plenty of numerical experiments, which make the new method more suitable for the practical problems.
Cite
@article{arxiv.2103.02824,
title = {On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation},
author = {Guanghui Hu and Hehu Xie and Fei Xu},
journal= {arXiv preprint arXiv:2103.02824},
year = {2021}
}