Suryanarayana, P., Gavini, V., Blesgen, T., Bhattacharya, K. and Ortiz, M. (2010) Non-Periodic Finite-Element Formulation of Kohn-Sham Density Functional Theory. Journal of the Mechanics and Physics of Solids, 58, 256-280.
http://dx.doi.org/10.1016/j.jmps.2009.10.002

has been cited by the following article:

• TITLE: On DFT Molecular Simulation for Non-Adaptive Kernel Approximation

  AUTHORS: Maharavo Randrianarivony

  KEYWORDS: DFT, Energy, Stochastic, Covariance, Hyperparameter

  JOURNAL NAME: Advances in Materials Physics and Chemistry, Vol.4 No.6, June 18, 2014

  ABSTRACT: Using accurate quantum energy computations in nanotechnologic applications is usually very computationally intensive. That makes it difficult to apply in subsequent quantum simulation. In this paper, we present some preliminary results pertaining to stochastic methods for alleviating the numerical expense of quantum estimations. The initial information about the quantum energy originates from the Density Functional Theory. The determination of the parameters is performed by using methods stemming from machine learning. We survey the covariance method using marginal likelihood for the statistical simulation. More emphasis is put at the position of equilibrium where the total atomic energy attains its minimum. The originally intensive data can be reproduced efficiently without losing accuracy. A significant acceleration gain is perceived by using the proposed method.