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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:153/0  |  提交时间:2022/04/29
Maxwell eigenvalue problem  edge element  Helmholtz projection  Jacobi-Davidson method  domain decomposition  
Optimal quadratic element on rectangular grids for H-1 problems 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 25
作者:  Zeng, Huilan;  Zhang, Chen-Song;  Zhang, Shuo
收藏  |  浏览/下载:181/0  |  提交时间:2020/10/12
Optimal quadratic element  Rectangular grids  Boundary value problem  Eigenvalue problem  Lower bound  
A cascadic multigrid method for nonsymmetric eigenvalue problem 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 146, 页码: 55-72
作者:  Yue, Meiling;  Xie, Hehu;  Xie, Manting
收藏  |  浏览/下载:161/0  |  提交时间:2020/01/10
Nonsymmetric eigenvalue problem  Cascadic multigrid  Multilevel correction method  Finite element method  
Plane wave methods for quantum eigenvalue problems of incommensurate systems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 384, 页码: 99-113
作者:  Zhou, Yuzhi;  Chen, Huajie;  Zhou, Aihui
收藏  |  浏览/下载:106/0  |  提交时间:2019/12/13
Incommensurate system  Quantum eigenvalue problem  Plane wave  Density functional theory  
Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 2, 页码: 914-934
作者:  Zhai, Qilong;  Xie, Hehu;  Zhang, Ran;  Zhang, Zhimin
收藏  |  浏览/下载:163/0  |  提交时间:2020/01/10
Weak Galerkin finite element method  Eigenvalue problem  Two-grid method  Two-space method  Lower bound  
On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 77, 期号: 9, 页码: 2396-2406
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang;  Jian, Shuai
收藏  |  浏览/下载:160/0  |  提交时间:2020/01/10
Hermitian eigenvalue problem  Rayleigh quotient iteration  Multistep modification  Inexact solve  Preconditioning  
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
作者:  Zhang, Ning;  Xu, Fei;  Xie, Hehu
收藏  |  浏览/下载:169/0  |  提交时间:2020/01/10
BEC  GPE  nonlinear eigenvalue problem  multigrid  tensor  finite element method  asymptotically optimal efficiency  
GUARANTEED EIGENVALUE BOUNDS FOR THE STEKLOV EIGENVALUE PROBLEM 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 3, 页码: 1395-1410
作者:  You, Chun'guang;  Xie, Hehu;  Liu, Xuefeng
收藏  |  浏览/下载:144/0  |  提交时间:2020/01/10
Steklov eigenvalue problem  eigenvalue bounds  Crouzeix-Raviart finite element method  verified computing  
STRUCTURED QUASI-NEWTON METHODS FOR OPTIMIZATION WITH ORTHOGONALITY CONSTRAINTS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 4, 页码: A2239-A2269
作者:  Hu, Jiang;  Jiang, Bo;  Lin, Lin;  Wen, Zaiwen;  Yuan, Ya-Xiang
收藏  |  浏览/下载:151/0  |  提交时间:2020/01/10
optimization with orthogonality constraints  structured quasi-Newton method  limited-memory Nystrom approximation  Hartree-Fock total energy minimization  
A (CIP)-I-0 method of transmission eigenvalues for elastic waves 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 374, 页码: 237-248
作者:  Xi, Yingxia;  Ji, Xia;  Geng, Hongrui
收藏  |  浏览/下载:163/0  |  提交时间:2019/01/11
Transmission eigenvalue problem  Elastic wave equation  Discontinuous Galerkin method