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CONVERGENCE OF THE HIPTMAIR-XU PRECONDITIONER FOR MAXWELL'S EQUATIONS WITH JUMP COEFFICIENTS (I): EXTENSIONS OF THE REGULAR DECOMPOSITION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 5, 页码: 2500-2535
作者:  Hu, Qiya
收藏  |  浏览/下载:112/0  |  提交时间:2022/04/02
Maxwell's equations  regular decomposition  stability  Nedelec elements  
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  
FINITE ELEMENT APPROXIMATIONS OF PARABOLIC OPTIMAL CONTROL PROBLEMS WITH CONTROLS ACTING ON A LOWER DIMENSIONAL MANIFOLD 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 卷号: 54, 期号: 2, 页码: 1229-1262
作者:  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
finite element method  parabolic equation  optimal control problem  moving manifold  fully discrete error estimates  
POSTPROCESSED TWO-SCALE FINITE ELEMENT DISCRETIZATIONS, PART I 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 卷号: 49, 期号: 5, 页码: 1947-1971
作者:  Liu, Fang;  Stynes, Martin;  Zhou, Aihui
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
combination  discretization  eigenvalue  finite element  postprocessing  two-scale  
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 CONVERGENT NONCONFORMING ADAPTIVE FINITE ELEMENT METHOD WITH QUASI-OPTIMAL COMPLEXITY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 47, 期号: 6, 页码: 4639-4659
作者:  Becker, Roland;  Mao, Shipeng;  Shi, Zhongci
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
adaptive methods  nonconforming finite elements  a posteriori error estimation  convergence rate  computational complexity  
ON THE INTERPOLATION ERROR ESTIMATES FOR Q(1) QUADRILATERAL FINITE ELEMENTS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 卷号: 47, 期号: 1, 页码: 467-486
作者:  Mao, Shipeng;  Nicaise, Serge;  Shi, Zhong-Ci
收藏  |  浏览/下载:128/0  |  提交时间:2018/07/30
error estimates  quadrilateral elements  isoparametric finite elements  maximal angle condition  
LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENTS FOR PLANE ELASTICITY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 卷号: 46, 期号: 1, 页码: 88-102
作者:  Hu, Jun;  Shi, Zhong-Ci
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
mixed method  nonconforming finite element  elasticity  rectangular  
Asymptotic expansions and Richardson extrapolation of approximate solutions for second order elliptic problems on rectangular domains by mixed finite element methods 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 卷号: 44, 期号: 3, 页码: 1122-1149
作者:  Fairweather, Graeme;  Lin, Qun;  Lin, Yanping;  Wang, Junping;  Zhang, Shuhua
收藏  |  浏览/下载:95/0  |  提交时间:2018/07/30
second order elliptic problems  mixed finite element methods  asymptotic expansions  interpolation postprocessing  a posteriori error estimators  
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:88/0  |  提交时间:2018/07/30
nonconforming finite elements  nonoverlapping domain decomposition  convergence rate  geometric convergence