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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  
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
作者:  Xu, Fei;  Xie, Hehu;  Xie, Manting;  Yue, Meiling
收藏  |  浏览/下载：131/0  |  提交时间：2021/04/26
BEC  GPE  Nonlinear eigenvalue problem  Multigrid method  Finite element method  
The Derivative Nonlinear Schrodinger Equation with Zero/Nonzero Boundary Conditions: Inverse Scattering Transforms andN-Double-Pole Solutions 期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2020, 页码: 39
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载：158/0  |  提交时间：2020/09/23
Derivative nonlinear Schrodinger equation  Modified Zakharov-Shabat eigenvalue problem  Inverse scattering  Riemann-Hilbert problem  Zero  nonzero boundary conditions  Double-pole solitons and breathers  
Laplace’s equation with concave and convex boundary nonlinearities on an exterior region 期刊论文
Boundary Value Problems, 2019, 卷号: 2019, 期号: 1
作者:  Mao,Jinxiu;  Zhao,Zengqin;  Qian,Aixia
收藏  |  浏览/下载：121/0  |  提交时间：2019/04/02
Exterior regions  Laplace operator  Concave and convex mixed nonlinear boundary conditions  Fountain theorems  Steklov eigenvalue problems  35J20  35J65  46E22  49R99  
AN EFFICIENT MULTIGRID METHOD FOR GROUND STATE SOLUTION OF BOSE-EINSTEIN CONDENSATES 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2019, 卷号: 16, 期号: 5, 页码: 789-803
作者:  Zhang, Ning;  Xu, Fei;  Xie, Hehu
收藏  |  浏览/下载：168/0  |  提交时间：2020/01/10
BEC  GPE  nonlinear eigenvalue problem  multigrid  tensor  finite element method  asymptotically optimal efficiency  
A full multigrid method for nonlinear eigenvalue problems 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 10, 页码: 2037-2048
作者:  Jia, ShangHui;  Xie, HeHu;  Xie, ManTing;  Xu, Fei
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
nonlinear eigenvalue problem  full multigrid method  multilevel correction  finite element method  
ON THE ANALYSIS OF THE DISCRETIZED KOHN-SHAM DENSITY FUNCTIONAL THEORY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 卷号: 53, 期号: 4, 页码: 1758-1785
作者:  Liu, Xin;  Wen, Zaiwen;  Wang, Xiao;  Ulbrich, Michael;  Yuan, Yaxiang
收藏  |  浏览/下载：113/0  |  提交时间：2018/07/30
Kohn-Sham total energy minimization  Kohn-Sham equation  self-consistent field iteration  nonlinear eigenvalue problem  
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  
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：183/0  |  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