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On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2023, 卷号: 472, 页码: 22
作者:  Hu, Guanghui;  Xie, Hehu;  Xu, Fei
收藏  |  浏览/下载:85/0  |  提交时间:2023/02/07
Kohn-Sham equation  Multilevel correction method  Finite element method  Separately handing nonlinear terms  Parallel computing  
Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 4, 页码: 920-944
作者:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载:114/0  |  提交时间:2022/04/02
Multilevel mixed element method  fourth order eigenvalue problem  multi-connected planar domain  
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
作者:  Zhang, Ning;  Han, Xiaole;  He, Yunhui;  Xie, Hehu;  You, Chun'guang
收藏  |  浏览/下载:179/0  |  提交时间:2021/01/14
Algebraic multigrid  multilevel correction  eigenvalue problem  
A cascadic multigrid method for nonsymmetric eigenvalue problem 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 146, 页码: 55-72
作者:  Yue, Meiling;  Xie, Hehu;  Xie, Manting
收藏  |  浏览/下载:161/0  |  提交时间:2020/01/10
Nonsymmetric eigenvalue problem  Cascadic multigrid  Multilevel correction method  Finite element method  
A multilevel correction adaptive finite element method for Kohn-Sham equation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 355, 页码: 436-449
作者:  Hu, Guanghui;  Xie, Hehu;  Xu, Fei
收藏  |  浏览/下载:155/0  |  提交时间:2018/07/30
Density functional theory  Kohn-Sham equation  Multilevel correction  Adaptive finite element method  
A GENERAL TWO-LEVEL SUBSPACE METHOD FOR NONLINEAR OPTIMIZATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 6, 页码: 881-902
作者:  Chen, Chong;  Wen, Zaiwen;  Yuan, Yaxiang
收藏  |  浏览/下载:139/0  |  提交时间:2019/03/05
Nonlinear optimization  Convex and nonconvex problems  Subspace technique  Multigrid/multilevel method  Large-scale problems  
A MULTILEVEL CORRECTION TYPE OF ADAPTIVE FINITE ELEMENT METHOD FOR EIGENVALUE PROBLEMS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 6, 页码: A4208-A4235
作者:  Hong, Qichen;  Xie, Hehu;  Xu, Fei
收藏  |  浏览/下载:163/0  |  提交时间:2019/03/05
eigenvalue problem  multilevel correction  adaptive finite element method  convergence  optimal complexity  
Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 2, 页码: 820-841
作者:  Gong, Wei;  Xie, Hehu;  Yan, Ningning
收藏  |  浏览/下载:132/0  |  提交时间:2018/07/30
Optimal control problems  Elliptic equation  Control constraints  A posteriori error estimates  Adaptive finite element method  Multilevel correction method  
A Multilevel Correction Method for Interior Transmission Eigenvalue Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 2, 页码: 586-604
作者:  Xie, Hehu;  Wu, Xinming
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
Transmission eigenvalue problem  Finite element method  Error estimates  Multilevel correction method  
A FULL MULTIGRID METHOD FOR SEMILINEAR ELLIPTIC EQUATION 期刊论文
APPLICATIONS OF MATHEMATICS, 2017, 卷号: 62, 期号: 3, 页码: 225-241
作者:  Xu, Fei;  Xie, Hehu
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
semilinear elliptic problem  full multigrid method  multilevel correction  finite element method