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CONVERGENCE ANALYSIS OF INEXACT TWO-GRID METHODS: A THEORETICAL FRAMEWORK 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 133-156
作者:  Xu, Xuefeng;  Zhang, Chen-Song
收藏  |  浏览/下载:251/0  |  提交时间:2022/04/29
multigrid  inexact two-grid methods  convergence factor  eigenvalue analysis  
\daggerCorresponding author. (xuxuefeng@lsec.cc.ac.cn). \ddagger, and (zhangcs@lsec.cc.ac.cn). 512 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2022, 卷号: 43, 期号: 1, 页码: 512-533
作者:  Xu, Xuefeng;  Zhang, Chen-Song
收藏  |  浏览/下载:146/0  |  提交时间:2023/02/07
multigrid  inexact two-grid methods  convergence factor  two-sided bounds  
Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2020, 卷号: 84, 期号: 3, 页码: 27
作者:  Dai, Xiaoying;  Kuang, Xiong;  Xin, Jack;  Zhou, Aihui
收藏  |  浏览/下载:233/0  |  提交时间:2020/10/12
Proper orthogonal decomposition  Galerkin projection  Error indicator  Adaptive  Two grid  
Iterative two-grid methods for semilinear elliptic equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2020, 卷号: 80, 期号: 3, 页码: 522-530
作者:  Zhang, Weifeng;  Fan, Ronghong;  Zhong, Liuqiang
收藏  |  浏览/下载:212/0  |  提交时间:2020/06/30
Iterative methods  Two-grid method  Convergence  Semilinear elliptic equations  
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:231/0  |  提交时间:2020/01/10
Weak Galerkin finite element method  Eigenvalue problem  Two-grid method  Two-space method  Lower bound  
A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 4, 页码: 556-578
作者:  Yang, Ying;  Lu, Benzhuo;  Xie, Yan
收藏  |  浏览/下载:193/0  |  提交时间:2020/05/24
Poisson-Nernst-Planck equations  Two-grid finite element method  Decoupling method  Error analysis  Gummel iteration  
A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2009, 卷号: 29, 期号: 4, 页码: 986-1007
作者:  Liu, Fang;  Madden, Niall;  Stynes, Martin;  Zhou, Aihui
收藏  |  浏览/下载:157/0  |  提交时间:2018/07/30
reaction-diffusion  finite element  Shishkin mesh  two-scale discretization  sparse grid  
A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2003, 卷号: 57, 期号: 2, 页码: 193-209
作者:  Chen, YP;  Huang, YQ;  Yu, DH
收藏  |  浏览/下载:128/0  |  提交时间:2018/07/30
reaction-diffusion equations  expanded mixed finite elements  two-grid methods  
Finite volume methods for eigenvalue problems 期刊论文
BIT, 2001, 卷号: 41, 期号: 2, 页码: 345-363
作者:  Liang, SD;  Ma, XL;  Zhou, AH
收藏  |  浏览/下载:120/0  |  提交时间:2018/07/30
eigenvalue  finite element  finite volume  superconvergence  two-grid scheme  
Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2001, 卷号: 14, 期号: 4, 页码: 293-327
作者:  Xu, JC;  Zhou, AH
收藏  |  浏览/下载:140/0  |  提交时间:2018/07/30
adaptive  finite elements  local a priori and a posteriori error  estimates  nonlinear  parallel algorithm  two-grid method