In this paper, we study numerical approximations of the ground states in finite temperature density functional theory. We formulate the problem with respect to the density matrices and justify the convergence of the finite dimensional approximations. Moreover, we provide an optimal a priori error estimate under some mild assumptions and present some numerical experiments to support the theory.
@article{arxiv.2405.07059,
title = {Numerical Analysis of Finite Dimensional Approximations in Finite Temperature DFT},
author = {Ge Xu and Huajie Chen and Xingyu Gao},
journal= {arXiv preprint arXiv:2405.07059},
year = {2024}
}