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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
Authors:  Xu, Fei;  Xie, Hehu;  Xie, Manting;  Yue, Meiling
Favorite  |  View/Download:34/0  |  Submit date:2021/04/26
BEC  GPE  Nonlinear eigenvalue problem  Multigrid method  Finite element method  
Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness 期刊论文
APPLIED MATHEMATICS LETTERS, 2020, 卷号: 99, 页码: 8
Authors:  Luo, Fusheng;  Xie, Hehu;  Xie, Manting;  Xu, Fei
Favorite  |  View/Download:85/0  |  Submit date:2020/01/10
Molecular beam epitaxy  Adaptive time-stepping method  Equidistribution of energy  Equidistribution of roughness  
A cascadic multigrid method for nonsymmetric eigenvalue problem 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 146, 页码: 55-72
Authors:  Yue, Meiling;  Xie, Hehu;  Xie, Manting
Favorite  |  View/Download:58/0  |  Submit date:2020/01/10
Nonsymmetric eigenvalue problem  Cascadic multigrid  Multilevel correction method  Finite element method  
Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 2, 页码: 1072-1087
Authors:  Xie, Hehu;  Xie, Manting
Favorite  |  View/Download:44/0  |  Submit date:2020/05/24
Bose-Einstein condensate  Gross-Pitaevskii equation  Finite element method  Computable error estimates  Lower bound  
Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements 期刊论文
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2018, 卷号: 35, 期号: 1, 页码: 335-354
Authors:  Xie, Manting;  Xie, Hehu;  Liu, Xuefeng
Favorite  |  View/Download:60/0  |  Submit date:2018/07/30
Stokes eigenvalue problem  Eigenvalue bound  Crouzeix-Raviart element  Enriched Crouzeix-Raviart element  Explicit lower bound  
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
Authors:  Xie, Hehu;  Xie, Manting;  Yin, Xiaobo;  Yue, Meiling
Favorite  |  View/Download:34/0  |  Submit date:2018/07/30
Nonsymmetric eigenvalue problem  computable error estimates  asymptotical exactness  finite element method  complementary method  
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
Authors:  Jia, ShangHui;  Xie, HeHu;  Xie, ManTing;  Xu, Fei
Favorite  |  View/Download:48/0  |  Submit date:2018/07/30
nonlinear 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
Authors:  Xie, Hehu;  Xie, Manting
Favorite  |  View/Download:33/0  |  Submit date:2018/07/30
BEC  GPE  eigenvalue problem  multigrid  multilevel correction  finite element method  
afullmultigridmethodfornonlineareigenvalueproblems 期刊论文
sciencechinamathematics, 2016, 卷号: 59, 期号: 10, 页码: 2037
Authors:  Jia Shanghui;  Xie Hehu;  Xie Manting;  Xu Fei
Favorite  |  View/Download:33/0  |  Submit date:2020/01/10