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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  
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:109/0  |  提交时间:2018/07/30
Density functional theory  planewave  preconditioning function  eigenvalue problem  
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  
CONVERGENCE AND COMPLEXITY OF ADAPTIVE FINITE ELEMENT METHODS FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2011, 卷号: 8, 期号: 4, 页码: 615-640
作者:  He, Lianhua;  Zhou, Aihui
收藏  |  浏览/下载:186/0  |  提交时间:2018/07/30
Adaptive finite element  convergence  complexity  eigenvalue  nonlinear  nonsymmetric  unbounded  
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  
Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 卷号: 33, 期号: 14, 页码: 1723-1742
作者:  Chen, Huajie;  Gong, Xingao;  Zhou, Aihui
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
eigenvalue  Galerkin discretization  nonlinear  numerical approximation  density functional  orbital-free  
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  
THREE-SCALE FINITE ELEMENT EIGENVALUE DISCRETIZATIONS 期刊论文
BIT NUMERICAL MATHEMATICS, 2008, 卷号: 48, 期号: 3, 页码: 533-562
作者:  Gao, X.;  Liu, F.;  Zhou, A.
收藏  |  浏览/下载:83/0  |  提交时间:2018/07/30
discretization  eigenvalue  finite element  three-scale  
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  
FINITE ELEMENT COMPUTATIONS OF KOLMOGOROV-PETROVSKY-PISKUNOV FRONT SPEEDS IN RANDOM SHEAR FLOWS IN CYLINDERS 期刊论文
MULTISCALE MODELING & SIMULATION, 2008, 卷号: 7, 期号: 3, 页码: 1029-1041
作者:  Shen, Lihua;  Xin, Jack;  Zhou, Aihui
收藏  |  浏览/下载:117/0  |  提交时间:2018/07/30
Kolmogorov-Petrovsky-Piskunov front speeds  random shear flows in cylinders  stochastic eigenvalue problems  two-scale finite element method