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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:204/0  |  提交时间:2020/01/10
BEC  GPE  nonlinear eigenvalue problem  multigrid  tensor  finite element method  asymptotically optimal efficiency  
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:171/0  |  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:133/0  |  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:105/0  |  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:97/0  |  提交时间:2018/07/30
semilinear elliptic 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:110/0  |  提交时间:2018/07/30
BEC  GPE  eigenvalue problem  multigrid  multilevel correction  finite element method  
MULTILEVEL CORRECTION ADAPTIVE FINITE ELEMENT METHOD FOR SEMILINEAR ELLIPTIC EQUATION 期刊论文
APPLICATIONS OF MATHEMATICS, 2015, 卷号: 60, 期号: 5, 页码: 527-550
作者:  Lin, Qun;  Xie, Hehu;  Xu, Fei
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
semilinear elliptic problem  multilevel correction  adaptive finite element method  
A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2015, 卷号: 8, 期号: 3, 页码: 383-405
作者:  Han, Xiaole;  Li, Yu;  Xie, Hehu
收藏  |  浏览/下载:119/0  |  提交时间:2018/07/30
Steklov eigenvalue problem  multilevel correction  nonconforming finite element method