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A TWO-LEVEL OVERLAPPING HYBRID DOMAIN DECOMPOSITION METHOD FOR EIGENVALUE PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 1, 页码: 344-368
作者:  Wang, Wei;  Xu, Xuejun
收藏  |  浏览/下载:144/0  |  提交时间:2018/07/30
eigenvalue problem  finite elements  two-level overlapping domain decomposition  
LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 6, 页码: A2592-A2615
作者:  Tang, Shibing;  Xu, Xuejun
收藏  |  浏览/下载:118/0  |  提交时间:2018/07/30
biharmonic problem  Schwarz framework  Bogner-Fox-Schmit element  Adini element  local multilevel 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
作者:  Lu, Peipei;  Xu, Xuejun
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
multilevel method  time-harmonic Maxwell equation  high wave number  continuous interior penalty finite element method  GMRES method  local Fourier analysis  
SPECTRAL ANALYSIS OF DIRICHLET-NEUMANN OPERATORS AND OPTIMIZED SCHWARZ METHODS WITH ROBIN TRANSMISSION CONDITIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 47, 期号: 6, 页码: 4540-4568
作者:  Xu, Xuejun;  Qin, Lizhen
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
finite elements  optimized Schwarz methods with Robin transmission conditions  nonoverlapping domain decomposition  convergence rate  Dirichlet-Neumann operators  
A NEW DIVERGENCE-FREE INTERPOLATION OPERATOR WITH APPLICATIONS TO THE DARCY-STOKES-BRINKMAN EQUATIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2010, 卷号: 32, 期号: 2, 页码: 855-874
作者:  Xu, Xuejun;  Zhang, Shangyou
收藏  |  浏览/下载:98/0  |  提交时间:2018/07/30
mixed finite element  Stokes equations  Darcy's law  Brinkman equations  divergence-free element  
LOCAL MULTILEVEL METHODS FOR ADAPTIVE FINITE ELEMENT METHODS FOR NONSYMMETRIC AND INDEFINITE ELLIPTIC BOUNDARY VALUE PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 47, 期号: 6, 页码: 4492-4516
作者:  Chen, Huangxin;  Xu, Xuejun
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
multilevel methods  local smoothers  adaptive finite element methods  nonsymmetric and indefinite  optimality  
The Crouzeix-Raviart Fe on nonmatching grids with an approximate mortar condition 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 卷号: 46, 期号: 1, 页码: 496-516
作者:  Rahman, Talal;  Bjorstad, Petter;  Xu, Xuejun
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
Crouzeix-Raviart finite element  nonmatching grids  mortar condition  additive Schwarz  
OPTIMIZED SCHWARZ METHODS WITH ROBIN TRANSMISSION CONDITIONS FOR PARABOLIC PROBLEMS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 卷号: 31, 期号: 1, 页码: 608-623
作者:  Qin, Lizhen;  Xu, Xuejun
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
parabolic problem  nonconforming finite elements  nonoverlapping domain decomposition  Robin transmission condition  convergence rate  optimal parameter  
On a parallel Robin-type nonoverlapping domain decomposition method 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 卷号: 44, 期号: 6, 页码: 2539-2558
作者:  Qin, Lizhen;  Xu, Xuejun
收藏  |  浏览/下载:89/0  |  提交时间:2018/07/30
nonconforming finite elements  nonoverlapping domain decomposition  convergence rate  geometric convergence