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A TWO-LEVEL PRECONDITIONED HELMHOLTZ-JACOBI-DAVIDSON METHOD FOR THE MAXWELL EIGENVALUE PROBLEM 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 卷号: 91, 期号: 334, 页码: 623-657
作者:  Liang, Qigang;  Xu, Xuejun
收藏  |  浏览/下载：157/0  |  提交时间：2022/04/29
Maxwell eigenvalue problem  edge element  Helmholtz projection  Jacobi-Davidson method  domain decomposition  
Multiscale asymptotic analysis and computations for Steklov eigenvalue problem in periodically perforated domain 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 页码: 21
作者:  Ye, Shuyu;  Ma, Qiang;  Hu, Bing;  Cui, Junzhi;  Jiang, Xue
收藏  |  浏览/下载：163/0  |  提交时间：2021/10/26
corrector equations  error estimation  finite element computation  second-order two-scale asymptotic analysis  Steklov eigenvalue problem  
Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials 期刊论文
APPLIED MATHEMATICAL MODELLING, 2021, 卷号: 92, 页码: 565-593
作者:  Ma, Qiang;  Ye, Shuyu;  Cui, Junzhi;  Yang, Zhiqiang;  Jiang, Xue;  Li, Zhihui
收藏  |  浏览/下载：167/0  |  提交时间：2021/04/26
Hierarchically perforated structure  Successive two-scale asymptotic analysis  Neumann-type elliptic eigenvalue problem  Second-order two-scale and three-scale  asymptotic computations  Finite element simulation  
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
作者:  Xu, Fei;  Xie, Hehu;  Xie, Manting;  Yue, Meiling
收藏  |  浏览/下载：136/0  |  提交时间：2021/04/26
BEC  GPE  Nonlinear eigenvalue problem  Multigrid method  Finite element method  
EQUIPPING THE BARZILAI-BORWEIN METHOD WITH THE TWO DIMENSIONAL QUADRATIC TERMINATION PROPERTY 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2021, 卷号: 31, 期号: 4, 页码: 3068-3096
作者:  Ya-Kui Huang;  Yu-Hong Dai;  Xin-Wei Liu
收藏  |  浏览/下载：105/0  |  提交时间：2022/04/02
Barzilai-Borwein method  quadratic termination property  unconstrained opti-mization  extreme eigenvalue problem  box-constrained optimization  singly linearly box-constrained optimization  
ON THE CONVERGENCE OF A TWO-LEVEL PRECONDITIONED JACOBI-DAVIDSON METHOD FOR EIGENVALUE PROBLEMS 期刊论文
MATHEMATICS OF COMPUTATION, 2019, 卷号: 88, 期号: 319, 页码: 2295-2324
作者:  Wang, Wei;  Xu, Xuejun
收藏  |  浏览/下载：165/0  |  提交时间：2020/01/10
Jacobi-Davidson method  eigenvalue problems  domain decomposition method  
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
作者:  Xie, Hehu;  Zhang, Lei;  Owhadi, Houman
收藏  |  浏览/下载：139/0  |  提交时间：2020/09/23
multiscale eigenvalue problem  gamblet decomposition  multigrid iteration  subspace correction  numerical homogenization  
Multi-scale asymptotic analysis and computation of the elliptic eigenvalue problems in curvilinear coordinates 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 卷号: 340, 页码: 340-365
作者:  Ma, Qiang;  Li, Zhihui;  Cui, Junzhi
收藏  |  浏览/下载：156/0  |  提交时间：2018/10/07
Homogenization method  Multi-scale asymptotic expansion  Eigenvalue problems  Finite element approximation  Coordinate transformation  
ADAPTIVE QUADRATICALLY REGULARIZED NEWTON METHOD FOR RIEMANNIAN OPTIMIZATION 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2018, 卷号: 39, 期号: 3, 页码: 1181-1207
作者:  Hu, Jiang;  Milzarek, Andre;  Wen, Zaiwen;  Yuan, Yaxiang
收藏  |  浏览/下载：158/0  |  提交时间：2019/03/05
Riemannian optimization  regularization  trust-region methods  inexactness  
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
作者:  Hong, Qichen;  Xie, Hehu;  Xu, Fei
收藏  |  浏览/下载：167/0  |  提交时间：2019/03/05
eigenvalue problem  multilevel correction  adaptive finite element method  convergence  optimal complexity