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Domain decomposition methods for space fractional partial differential equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 350, 页码: 573-589
作者:  Jiang, Yingjun;  Xu, Xuejun
收藏  |  浏览/下载:123/0  |  提交时间:2018/07/30
Fractional differential equations  Overlapping domain decompositions  Preconditioners  
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  
Multigrid methods for space fractional partial differential equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 卷号: 302, 页码: 374-392
作者:  Jiang, Yingjun;  Xu, Xuejun
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
Fractional differential equations  Multigrid methods  Optimal convergence  
Convergence and quasi-optimality of adaptive nonconforming finite element methods for some nonsymmetric and indefinite problems 期刊论文
NUMERISCHE MATHEMATIK, 2010, 卷号: 116, 期号: 3, 页码: 383-419
作者:  Chen, Huangxin;  Xu, Xuejun;  Hoppe, Ronald H. W.
收藏  |  浏览/下载:118/0  |  提交时间:2018/07/30
Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems 期刊论文
JOURNAL OF NUMERICAL MATHEMATICS, 2010, 卷号: 18, 期号: 1, 页码: 59-90
作者:  Xu, X.;  Chen, H.;  Hoppe, R. H. W.
收藏  |  浏览/下载:84/0  |  提交时间:2018/07/30
local multilevel methods  adaptive finite element methods  local smoothing  Schwarz theory  optimality  
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  
Standard and Economical Cascadic Multigrid Methods for the Mortar Finite Element Methods 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2009, 卷号: 2, 期号: 2, 页码: 180-201
作者:  Xu, Xuejun;  Chen, Wenbin
收藏  |  浏览/下载:98/0  |  提交时间:2018/07/30
Cascadic multigrid  mortar finite elements  
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