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Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 4, 页码: 920-944
Authors:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
Favorite  |  View/Download:44/0  |  Submit date:2022/04/02
Multilevel mixed element method  fourth order eigenvalue problem  multi-connected planar domain  
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:116/0  |  Submit date:2021/01/14
Algebraic multigrid  multilevel correction  eigenvalue problem  
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:85/0  |  Submit date:2020/01/10
Nonsymmetric eigenvalue problem  Cascadic multigrid  Multilevel correction method  Finite element method  
A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 1, 页码: 291-311
Authors:  Lu, Peipei;  Xu, Xuejun
Favorite  |  View/Download:72/0  |  Submit date:2019/10/28
Multilevel method  Helmholtz equation  High wave number  Continuous interior penalty finite element method  GMRES method  Overlapping domain decomposition method  
A MULTILEVEL NEWTON'S METHOD FOR EIGENVALUE PROBLEMS 期刊论文
APPLICATIONS OF MATHEMATICS, 2018, 卷号: 63, 期号: 3, 页码: 281-303
Authors:  He, Yunhui;  Li, Yu;  Xie, Hehu;  You, Chun'Guang;  Zhang, Ning
Favorite  |  View/Download:78/0  |  Submit date:2018/09/08
eigenvalue problem  finite element method  Newton's method  multilevel iteration  
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:96/0  |  Submit date:2018/07/30
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
Favorite  |  View/Download:82/0  |  Submit date:2019/03/05
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
Favorite  |  View/Download:81/0  |  Submit date:2019/03/05
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
Favorite  |  View/Download:75/0  |  Submit date:2018/07/30
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
Favorite  |  View/Download:62/0  |  Submit date:2018/07/30
Transmission eigenvalue problem  Finite element method  Error estimates  Multilevel correction method