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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
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Density functional theory  Kohn-Sham equation  Multilevel correction  Adaptive finite element method  
A GENERAL TWO-LEVEL SUBSPACE METHOD FOR NONLINEAR OPTIMIZATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 6, 页码: 881-902
Authors:  Chen, Chong;  Wen, Zaiwen;  Yuan, Yaxiang
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Nonlinear optimization  Convex and nonconvex problems  Subspace technique  Multigrid/multilevel method  Large-scale problems  
A MULTILEVEL CORRECTION TYPE OF ADAPTIVE FINITE ELEMENT METHOD FOR EIGENVALUE PROBLEMS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 6, 页码: A4208-A4235
Authors:  Hong, Qichen;  Xie, Hehu;  Xu, Fei
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eigenvalue problem  multilevel correction  adaptive finite element method  convergence  optimal complexity  
Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 2, 页码: 820-841
Authors:  Gong, Wei;  Xie, Hehu;  Yan, Ningning
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Optimal control problems  Elliptic equation  Control constraints  A posteriori error estimates  Adaptive finite element method  Multilevel correction 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
Authors:  Xie, Hehu;  Wu, Xinming
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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
Authors:  Xu, Fei;  Xie, Hehu
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semilinear elliptic problem  full multigrid method  multilevel correction  finite element method  
A CASCADIC MULTIGRID METHOD FOR EIGENVALUE PROBLEM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2017, 卷号: 35, 期号: 1, 页码: 74-90
Authors:  Han, Xiaole;  Xie, Hehu;  Xu, Fei
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Eigenvalue problem  Cascadic multigrid  Multilevel correction scheme  Finite element method  
A full multigrid method for eigenvalue problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 卷号: 322, 页码: 747-759
Authors:  Chen, Hongtao;  Xie, Hehu;  Xu, Fei
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Eigenvalue problem  Full multigrid method  Multilevel correction  Finite element 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
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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
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BEC  GPE  eigenvalue problem  multigrid  multilevel correction  finite element method