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Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2020, 卷号: 84, 期号: 3, 页码: 27
作者:  Dai, Xiaoying;  Kuang, Xiong;  Xin, Jack;  Zhou, Aihui
收藏  |  浏览/下载：149/0  |  提交时间：2020/10/12
Proper orthogonal decomposition  Galerkin projection  Error indicator  Adaptive  Two grid  
Plane wave methods for quantum eigenvalue problems of incommensurate systems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 384, 页码: 99-113
作者:  Zhou, Yuzhi;  Chen, Huajie;  Zhou, Aihui
收藏  |  浏览/下载：104/0  |  提交时间：2019/12/13
Incommensurate system  Quantum eigenvalue problem  Plane wave  Density functional theory  
A mathematical aspect of Hohenberg-Kohn theorem 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 卷号: 62, 期号: 1, 页码: 63-68
作者:  Zhou, Aihui
收藏  |  浏览/下载：133/0  |  提交时间：2019/03/05
density functional theory  electronic structure  unique continuation principle  Hohenberg-Kohn theorem  
A parallel orbital-updating based plane-wave basis method for electronic structure calculations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 348, 页码: 482-492
作者:  Pan, Yan;  Dai, Xiaoying;  de Gironcoli, Stefano;  Gong, Xin-Gao;  Rignanese, Gian-Marco;  Zhou, Aihui
收藏  |  浏览/下载：121/0  |  提交时间：2018/07/30
Density functional theory  Electronic structure  Plane-wave  Parallel orbital-updating  
A CONJUGATE GRADIENT METHOD FOR ELECTRONIC STRUCTURE CALCULATIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 6, 页码: A2702-A2740
作者:  Dai, Xiaoying;  Liu, Zhuang;  Zhang, Liwei;  Zhou, Aihui
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
conjugate gradient method  density functional theory  electronic structure  optimization  
Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2015, 卷号: 35, 期号: 4, 页码: 1934-1977
作者:  Dai, Xiaoying;  He, Lianhua;  Zhou, Aihui
收藏  |  浏览/下载：116/0  |  提交时间：2018/07/30
adaptive finite element  a posteriori error estimator  convergence rate  complexity  multiple eigenvalue  
On the "Preconditioning" Function Used in Planewave DFT Calculations and its Generalization 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2015, 卷号: 18, 期号: 1, 页码: 167-179
作者:  Zhou, Yunkai;  Chelikowsky, James R.;  Gao, Xingyu;  Zhou, Aihui
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
Density functional theory  planewave  preconditioning function  eigenvalue problem  
A Maximum Entropy Method Based on Piecewise Linear Functions for the Recovery of a Stationary Density of Interval Mappings 期刊论文
JOURNAL OF STATISTICAL PHYSICS, 2011, 卷号: 145, 期号: 6, 页码: 1620-1639
作者:  Ding, Jiu;  Jin, Congming;  Rhee, Noah H.;  Zhou, Aihui
收藏  |  浏览/下载：104/0  |  提交时间：2018/07/30
Frobenius-Perron operator  Stationary density  Maximum entropy  Piecewise linear approximations  
TWO-SCALE FINITE ELEMENT DISCRETIZATIONS FOR INTEGRODIFFERENTIAL EQUATIONS 期刊论文
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2011, 卷号: 23, 期号: 3, 页码: 351-381
作者:  Chen, Huajie;  Liu, Fang;  Reich, Nils;  Winter, Christoph;  Zhou, Aihui
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
Finite elements  infinitesimal generator  two-scale discretization  wavelets  
Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2011, 卷号: 3, 期号: 4, 页码: 493-518
作者:  Chen, Huajie;  Gong, Xingao;  He, Lianhua;  Zhou, Aihui
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
Adaptive finite element  convergence  micro-structure  nonlinear eigenvalue