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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
Authors:  Hu, Guanghui;  Xie, Hehu;  Xu, Fei
Favorite  |  View/Download：46/0  |  Submit date：2023/02/07
Kohn-Sham equation  Multilevel correction method  Finite element method  Separately handing nonlinear terms  Parallel computing  
ON THE CONVERGENCE TO LOCAL LIMIT OF NONLOCAL MODELS WITH APPROXIMATED INTERACTION NEIGHBORHOODS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 4, 页码: 2046-2068
Authors:  Du, Qiang;  Xie, Hehu;  Yin, Xiaobo
Favorite  |  View/Download：17/0  |  Submit date：2023/02/07
nonlocal model  peridynamics  polygonal approximation  horizon parameter  asymptotically compatible  convergence  
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：149/0  |  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：97/0  |  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：156/0  |  Submit date：2020/01/10
Molecular beam epitaxy  Adaptive time-stepping method  Equidistribution of energy  Equidistribution of roughness  
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：94/0  |  Submit date：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
Authors:  Yue, Meiling;  Xie, Hehu;  Xie, Manting
Favorite  |  View/Download：120/0  |  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：103/0  |  Submit date：2020/05/24
Bose-Einstein condensate  Gross-Pitaevskii equation  Finite element method  Computable error estimates  Lower bound  
Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 2, 页码: 914-934
Authors:  Zhai, Qilong;  Xie, Hehu;  Zhang, Ran;  Zhang, Zhimin
Favorite  |  View/Download：131/0  |  Submit date：2020/01/10
Weak Galerkin finite element method  Eigenvalue problem  Two-grid method  Two-space method  Lower bound  
FAST EIGENPAIRS COMPUTATION WITH OPERATOR ADAPTED WAVELETS AND HIERARCHICAL SUBSPACE CORRECTION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 6, 页码: 2519-2550
Authors:  Xie, Hehu;  Zhang, Lei;  Owhadi, Houman
Favorite  |  View/Download：98/0  |  Submit date：2020/09/23
multiscale eigenvalue problem  gamblet decomposition  multigrid iteration  subspace correction  numerical homogenization