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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:12/0  |  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:12/0  |  Submit date:2018/09/08
eigenvalue problem  finite element method  Newton's method  multilevel iteration  
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:11/0  |  Submit date:2019/03/05
Nonlinear optimization  Convex and nonconvex problems  Subspace technique  Multigrid/multilevel method  Large-scale problems  
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
Favorite  |  View/Download:4/0  |  Submit date:2018/07/30
semilinear elliptic problem  full multigrid method  multilevel correction  finite element method  
EFFICIENT MULTILEVEL PRECONDITIONERS FOR THREE-DIMENSIONAL PLANE WAVE HELMHOLTZ SYSTEMS WITH LARGE WAVE NUMBERS 期刊论文
MULTISCALE MODELING & SIMULATION, 2017, 卷号: 15, 期号: 3, 页码: 1242-1266
Authors:  Hu, Qiya;  Li, Xuan
Favorite  |  View/Download:9/0  |  Submit date:2018/07/30
Helmholtz equation  large wave numbers  plane wave methods  overlapping domain decomposition  multilevel preconditioners  3-level smoothers  
NOVEL MULTILEVEL PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 4, 页码: A1675-A1709
Authors:  Hu, Qiya;  Li, Xuan
Favorite  |  View/Download:6/0  |  Submit date:2018/07/30
Helmholtz equation  large wave numbers  plane wave methods  multilevel overlapping domain decomposition  multilevel overlapping preconditioner  smoothers  
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
Favorite  |  View/Download:3/0  |  Submit date:2018/07/30
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
Favorite  |  View/Download:6/0  |  Submit date:2018/07/30
nonlinear eigenvalue problem  full multigrid method  multilevel correction  finite element method  
A ROBUST MULTILEVEL METHOD FOR THE TIME -HARMONIC MAXWELL EQUATION WITH HIGH WAVE NUMBER 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2016, 卷号: 38, 期号: 2, 页码: A856-A874
Authors:  Lu, Peipei;  Xu, Xuejun
Favorite  |  View/Download:3/0  |  Submit date:2018/07/30
multilevel method  time-harmonic Maxwell equation  high wave number  continuous interior penalty finite element method  GMRES method  local Fourier analysis  
An adaptive multilevel method for time-harmonic Maxwell equations with singularities 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2007, 卷号: 29, 期号: 1, 页码: 118-138
Authors:  Chen, Zhiming;  Wang, Long;  Zheng, Weiying
Favorite  |  View/Download:5/0  |  Submit date:2018/07/30
Maxwell equations  singularities of solutions  adaptive finite element method  multigrid method