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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:76/0  |  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:25/0  |  Submit date:2021/04/26
BEC  GPE  Nonlinear eigenvalue problem  Multigrid method  Finite element method  
MONOLITHIC MULTIGRID FOR REDUCED MAGNETOHYDRODYNAMIC EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 卷号: 39, 期号: 3, 页码: 453-470
Authors:  Zhang, Xiaodi;  Zheng, Weiying
Favorite  |  View/Download:23/0  |  Submit date:2021/06/01
Monolithic multigrid  Magnetohydrodynamic equations  Diagonal Braess-Sarazin smoother  Finite element method  
A Rigorous Condition Number Estimate of an Immersed Finite Element Method 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2020, 卷号: 83, 期号: 2, 页码: 23
Authors:  Wang, Saihua;  Wang, Feng;  Xu, Xuejun
Favorite  |  View/Download:33/0  |  Submit date:2020/06/30
Interface problem  IFE method  Condition number  
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 404, 页码: 13
Authors:  Bai, Zhong-Zhi;  Lu, Kang-Ya
Favorite  |  View/Download:43/0  |  Submit date:2020/05/24
Spatial fractional diffusion equations  Shifted finite-difference discretization  Block Toeplitz-like matrix  Block circulant-like matrix  Preconditioning  Eigenvalue distribution  
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:20/0  |  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
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Nonsymmetric eigenvalue problem  Cascadic multigrid  Multilevel correction method  Finite element method  
ACCELERATION OF THE TWO-LEVEL MGRIT ALGORITHM VIA THE DIAGONALIZATION TECHNIQUE 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 5, 页码: A3421-A3448
Authors:  Wu, Shu-Lin;  Zhou, Tao
Favorite  |  View/Download:39/0  |  Submit date:2020/05/24
multigrid-reduction-in-time (MGRIT) algorithm  acceleration  convergence analysis  diagonalization technique  parallel coarse-grid-correction  
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:30/0  |  Submit date:2020/09/23
multiscale eigenvalue problem  gamblet decomposition  multigrid iteration  subspace correction  numerical homogenization  
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:53/0  |  Submit date:2020/01/10
BEC  GPE  nonlinear eigenvalue problem  multigrid  tensor  finite element method  asymptotically optimal efficiency