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Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2021, 卷号: 55, 期号: 1, 页码: 209-227
作者:  Yang, Bin;  Zhou, Aihui
收藏  |  浏览/下载:124/0  |  提交时间:2021/04/26
Adaptive finite element approximation  complexity  convergence  nonlinear eigenvalue problem  non-polynomial behavior  unique continuation property  
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:106/0  |  提交时间:2019/12/13
Incommensurate system  Quantum eigenvalue problem  Plane wave  Density functional theory  
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:122/0  |  提交时间:2018/07/30
Density functional theory  Electronic structure  Plane-wave  Parallel orbital-updating  
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:116/0  |  提交时间:2018/07/30
Adaptive finite element  convergence  micro-structure  nonlinear eigenvalue  
FINITE VOLUME DISCRETIZATIONS FOR EIGENVALUE PROBLEMS WITH APPLICATIONS TO ELECTRONIC STRUCTURE CALCULATIONS 期刊论文
MULTISCALE MODELING & SIMULATION, 2011, 卷号: 9, 期号: 1, 页码: 208-240
作者:  Dai, Xiaoying;  Gong, Xingao;  Yang, Zhang;  Zhang, Dier;  Zhou, Aihui
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
eigenvalue  electronic structure  finite element  finite volume  high order  symmetric  
POSTPROCESSED TWO-SCALE FINITE ELEMENT DISCRETIZATIONS, PART I 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 卷号: 49, 期号: 5, 页码: 1947-1971
作者:  Liu, Fang;  Stynes, Martin;  Zhou, Aihui
收藏  |  浏览/下载:91/0  |  提交时间:2018/07/30
combination  discretization  eigenvalue  finite element  postprocessing  two-scale  
Finite element approximations of nonlinear eigenvalue problems in quantum physics 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 卷号: 200, 期号: 21-22, 页码: 1846-1865
作者:  Chen, Huajie;  He, Lianhua;  Zhou, Aihui
收藏  |  浏览/下载:96/0  |  提交时间:2018/07/30
Adaptive computation  Convergence  Complexity  Density functional theory  Finite element  Nonlinear eigenvalue problem  
A TWO-SCALE HIGHER-ORDER FINITE ELEMENT DISCRETIZATION FOR SCHRODINGER EQUATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 2-3, 页码: 315-337
作者:  Chen, Huajie;  Liu, Fang;  Zhou, Aihui
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
Higher-order  Finite element  Discretization  Eigenvalue  Schrodinger equation  Two-scale  
Convergence and optimal complexity of adaptive finite element eigenvalue computations 期刊论文
NUMERISCHE MATHEMATIK, 2008, 卷号: 110, 期号: 3, 页码: 313-355
作者:  Dai, Xiaoying;  Xu, Jinchao;  Zhou, Aihui
收藏  |  浏览/下载:87/0  |  提交时间:2018/07/30
Three-scale finite element discretizations for quantum eigenvalue problems 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 卷号: 46, 期号: 1, 页码: 295-324
作者:  Dai, Xiaoying;  Zhou, Aihui
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
eigenvalue  finite element  ground state energy  local computation  three-scale  quantum chemistry