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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:183/0  |  提交时间:2020/01/10
BEC  GPE  nonlinear eigenvalue problem  multigrid  tensor  finite element method  asymptotically optimal efficiency  
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:157/0  |  提交时间:2018/07/30
Density functional theory  Kohn-Sham equation  Multilevel correction  Adaptive finite element method  
FULLY COMPUTABLE ERROR BOUNDS FOR EIGENVALUE PROBLEM 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2018, 卷号: 15, 期号: 1-2, 页码: 260-276
作者:  Hong, Qichen;  Xie, Hehu;  Yue, Meiling;  Zhang, Ning
收藏  |  浏览/下载:165/0  |  提交时间:2018/07/30
Eigenvalue problem  computable error estimate  guaranteed upper bound  guaranteed lower bound  complementary method  
Computable Error Estimates for a Nonsymmetric Eigenvalue Problem 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2017, 卷号: 7, 期号: 3, 页码: 583-602
作者:  Xie, Hehu;  Xie, Manting;  Yin, Xiaobo;  Yue, Meiling
收藏  |  浏览/下载:122/0  |  提交时间:2018/07/30
Nonsymmetric eigenvalue problem  computable error estimates  asymptotical exactness  finite element method  complementary 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:103/0  |  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:94/0  |  提交时间:2018/07/30
semilinear elliptic problem  full multigrid method  multilevel correction  finite element method  
Maxwell's equations in an unbounded structure 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 3, 页码: 573-588
作者:  Li, Peijun;  Zheng, Gaofeng;  Zheng, Weiying
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
Maxwell's equations  generalized Lax-Milgram theorem  unbounded rough surface  
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:110/0  |  提交时间:2018/07/30
Eigenvalue problem  Full multigrid method  Multilevel correction  Finite element method  
A Multigrid Method for Ground State Solution of Bose-Einstein Condensates 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 卷号: 19, 期号: 3, 页码: 648-662
作者:  Xie, Hehu;  Xie, Manting
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
BEC  GPE  eigenvalue problem  multigrid  multilevel correction  finite element method  
LOCAL AND PARALLEL FINITE ELEMENT ALGORITHM BASED ON MULTILEVEL DISCRETIZATION FOR EIGENVALUE PROBLEMS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2016, 卷号: 13, 期号: 1, 页码: 73-89
作者:  Han, Xiaole;  Li, Yu;  Xie, Hehu;  You, Chunguang
收藏  |  浏览/下载:123/0  |  提交时间:2018/07/30
eigenvalue problem  multigrid  multilevel correction  local and araliel method  finite element method