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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
Authors:  Yang, Bin;  Zhou, Aihui
Favorite  |  View/Download：90/0  |  Submit date：2021/04/26
Adaptive finite element approximation  complexity  convergence  nonlinear eigenvalue problem  non-polynomial behavior  unique continuation property  
Plane wave study on the localized-extended transition in the one-dimensional incommensurate systems 期刊论文
COMPUTATIONAL MATERIALS SCIENCE, 2021, 卷号: 188, 页码: 9
Authors:  Chen, Huajie;  Zhou, Aihui;  Zhou, Yuzhi
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Incommensurate systems  Localized-extended transition  Plane waves  
An Algebraic Multigrid Method for Eigenvalue Problems and Its Numerical Tests 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 11, 期号: 1, 页码: 1-19
Authors:  Zhang, Ning;  Han, Xiaole;  He, Yunhui;  Xie, Hehu;  You, Chun'guang
Favorite  |  View/Download：144/0  |  Submit date：2021/01/14
Algebraic multigrid  multilevel correction  eigenvalue problem  
A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration 期刊论文
BIT NUMERICAL MATHEMATICS, 2021, 页码: 19
Authors:  Xu, Fei;  Xie, Hehu;  Xie, Manting;  Yue, Meiling
Favorite  |  View/Download：94/0  |  Submit date：2021/04/26
BEC  GPE  Nonlinear eigenvalue problem  Multigrid method  Finite element method  
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
Authors:  Dai, Xiaoying;  Kuang, Xiong;  Xin, Jack;  Zhou, Aihui
Favorite  |  View/Download：113/0  |  Submit date：2020/10/12
Proper orthogonal decomposition  Galerkin projection  Error indicator  Adaptive  Two grid  
GRADIENT FLOW BASED KOHN-SHAM DENSITY FUNCTIONAL THEORY MODEL 期刊论文
MULTISCALE MODELING & SIMULATION, 2020, 卷号: 18, 期号: 4, 页码: 1621-1663
Authors:  Dai, Xiaoying;  Wang, Qiao;  Zhou, Aihui
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density functional theory  dynamical system  gradient flow  orthogonality preserving  eigenvalue problem  energy minimization  
A PARALLEL AUGMENTED SUBSPACE METHOD FOR EIGENVALUE PROBLEMS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 5, 页码: A2655-A2677
Authors:  Xu, Fei;  Xie, Hehu;  Zhang, Ning
Favorite  |  View/Download：92/0  |  Submit date：2021/04/26
eigenvalue problems  parallel augmented subspace method  multigrid method  parallel computing