15 citations · 69 across the 23 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.NA2019★ 3 cited
Gradient Flow Based Discretized Kohn-Sham Density Functional Theory
Xiaoying Dai, Qiao Wang, Aihui Zhou
In this paper, we propose and analyze a gradient flow based Kohn-Sham density functional theory. First, we prove that the critical point of the gradient flow based model can be a l…
math.NA2019
Two-Grid based Adaptive Proper Orthogonal Decomposition Algorithm for Time Dependent Partial Differential Equations
Xiaoying Dai, Xiong Kuang, Jack Xin +1
In this article, we propose a two-grid based adaptive proper orthogonal decomposition (POD) method to solve the time dependent partial differential equations. Based on the error ob…
math.OC2019★ 4 cited
Adaptive Step Size Strategy for Orthogonality Constrained Line Search Methods
Xiaoying Dai, Liwei Zhang, Aihui Zhou
In this paper, we propose an adaptive step size strategy for a class of line search methods for orthogonality constrained minimization problems, which avoids the classic backtracki…