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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…