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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
Authors:  Zhang, Ning;  Han, Xiaole;  He, Yunhui;  Xie, Hehu;  You, Chun'guang
Favorite  |  View/Download:88/0  |  Submit date:2021/01/14
Algebraic multigrid  multilevel correction  eigenvalue problem  
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  
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
Authors:  Xu, Fei;  Xie, Hehu;  Zhang, Ning
Favorite  |  View/Download:32/0  |  Submit date:2021/04/26
eigenvalue problems  parallel augmented subspace method  multigrid method  parallel computing  
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
Authors:  Zhang, Ning;  Xu, Fei;  Xie, Hehu
Favorite  |  View/Download:64/0  |  Submit date:2020/01/10
BEC  GPE  nonlinear eigenvalue problem  multigrid  tensor  finite element method  asymptotically optimal efficiency  
STRUCTURED QUASI-NEWTON METHODS FOR OPTIMIZATION WITH ORTHOGONALITY CONSTRAINTS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 4, 页码: A2239-A2269
Authors:  Hu, Jiang;  Jiang, Bo;  Lin, Lin;  Wen, Zaiwen;  Yuan, Ya-Xiang
Favorite  |  View/Download:55/0  |  Submit date:2020/01/10
optimization with orthogonality constraints  structured quasi-Newton method  limited-memory Nystrom approximation  Hartree-Fock total energy minimization  
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:61/0  |  Submit date:2018/07/30
Stokes eigenvalue problem  Eigenvalue bound  Crouzeix-Raviart element  Enriched Crouzeix-Raviart element  Explicit lower bound  
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
Authors:  Hu, Guanghui;  Xie, Hehu;  Xu, Fei
Favorite  |  View/Download:64/0  |  Submit date:2018/07/30
Density functional theory  Kohn-Sham equation  Multilevel correction  Adaptive finite element method  
ADAPTIVE QUADRATICALLY REGULARIZED NEWTON METHOD FOR RIEMANNIAN OPTIMIZATION 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2018, 卷号: 39, 期号: 3, 页码: 1181-1207
Authors:  Hu, Jiang;  Milzarek, Andre;  Wen, Zaiwen;  Yuan, Yaxiang
Favorite  |  View/Download:56/0  |  Submit date:2019/03/05
Riemannian optimization  regularization  trust-region methods  inexactness  
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
Authors:  Hong, Qichen;  Xie, Hehu;  Yue, Meiling;  Zhang, Ning
Favorite  |  View/Download:70/0  |  Submit date:2018/07/30
Eigenvalue problem  computable error estimate  guaranteed upper bound  guaranteed lower bound  complementary method