I wish to share with you our recent article on "Higher-order adaptive finite-element method for Kohn-Sham density functional theory", which will soon appear in the Journal of Computational Physics. Below is the abstract and attached is a preprint of the article.
P. Motamarri, N.R. Nowak, K. Leiter, J. Knap, V. Gavini, Higher-order adaptive finite-element methods for Kohn-Sham density functional theory, J. Comp. Phys. 253, 308-343 (2013).