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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  
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:132/0  |  提交时间:2021/04/26
BEC  GPE  Nonlinear eigenvalue problem  Multigrid method  Finite element method  
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
作者:  Xu, Fei;  Xie, Hehu;  Zhang, Ning
收藏  |  浏览/下载:126/0  |  提交时间:2021/04/26
eigenvalue problems  parallel augmented subspace method  multigrid method  parallel computing  
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  
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:169/0  |  提交时间:2020/01/10
BEC  GPE  nonlinear eigenvalue problem  multigrid  tensor  finite element method  asymptotically optimal efficiency  
A MULTILEVEL NEWTON'S METHOD FOR EIGENVALUE PROBLEMS 期刊论文
APPLICATIONS OF MATHEMATICS, 2018, 卷号: 63, 期号: 3, 页码: 281-303
作者:  He, Yunhui;  Li, Yu;  Xie, Hehu;  You, Chun'Guang;  Zhang, Ning
收藏  |  浏览/下载:152/0  |  提交时间:2018/09/08
eigenvalue problem  finite element method  Newton's method  multilevel iteration  
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 eigenvalue problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 卷号: 322, 页码: 747-759
作者:  Chen, Hongtao;  Xie, Hehu;  Xu, Fei
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
Eigenvalue problem  Full multigrid method  Multilevel correction  Finite element method