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A Positivity-Preserving Finite Volume Scheme for Heat Conduction Equation on Generalized Polyhedral Meshes 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 5, 页码: 1375-1408
Authors:  Xie, Hui;  Xu, Xuejun;  Zhai, Chuanlei;  Yong, Heng
Favorite  |  View/Download:91/0  |  Submit date:2019/03/05
Heat conduction  anisotropic diffusion tensor  distorted mesh  positivity-preserving  cell-centered scheme  vertex elimination  
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
Authors:  Jiang, Yingjun;  Xu, Xuejun
Favorite  |  View/Download:59/0  |  Submit date:2018/07/30
Fractional differential equations  Overlapping domain decompositions  Preconditioners  
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
Authors:  Xu, Xuejun;  Qin, Lizhen
Favorite  |  View/Download:41/0  |  Submit date:2018/07/30
finite elements  optimized Schwarz methods with Robin transmission conditions  nonoverlapping domain decomposition  convergence rate  Dirichlet-Neumann operators  
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
Authors:  Qin, Lizhen;  Xu, Xuejun
Favorite  |  View/Download:44/0  |  Submit date: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
Authors:  Qin, Lizhen;  Xu, Xuejun
Favorite  |  View/Download:37/0  |  Submit date:2018/07/30
nonconforming finite elements  nonoverlapping domain decomposition  convergence rate  geometric convergence