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Deep Domain Decomposition Methods: Helmholtz Equation 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2023, 卷号: 15, 期号: 1, 页码: 118-138
Authors:  Li, Wuyang;  Wang, Ziming;  Cui, Tao;  Xu, Yingxiang;  Xiang, Xueshuang
Favorite  |  View/Download:67/0  |  Submit date:2023/02/07
Helmholtz equation  deep learning  domain decomposition method  plane wave method  
DOMAIN DECOMPOSITION PRECONDITIONERS FOR THE DISCONTINUOUS PETROV-GALERKIN METHOD 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2017, 卷号: 51, 期号: 3, 页码: 1021-1044
Authors:  Li, Xiang;  Xu, Xuejun
Favorite  |  View/Download:79/0  |  Submit date:2018/07/30
DPG  domain decomposition  additive Schwarz preconditioner  Robin boundary condition  Helmholtz equation  
ON THE OPTIMAL CONVERGENCE RATE OF A ROBIN-ROBIN DOMAIN DECOMPOSITION METHOD 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2014, 卷号: 32, 期号: 4, 页码: 456-475
Authors:  Chen Wenbin;  Xu Xuejun;  Zhang Shangyou
Favorite  |  View/Download:93/0  |  Submit date:2021/01/14
OPTIMIZED SCHWARZ METHODS  Finite element  Robin-Robin domain decomposition  Convergence rate  
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:97/0  |  Submit date:2018/07/30
finite elements  optimized Schwarz methods with Robin transmission conditions  nonoverlapping domain decomposition  convergence rate  Dirichlet-Neumann operators  
On the convergence rate of a parallel nonoverlapping domain decomposition method 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 卷号: 51, 期号: 8, 页码: 1461-1478
Authors:  Qin LiZhen;  Shi ZhongCi;  Xu XueJun
Favorite  |  View/Download:87/0  |  Submit date:2018/07/30
finite elements  nonoverlapping domain decomposition  convergence rate  geometric  optimal  
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:104/0  |  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:79/0  |  Submit date:2018/07/30
nonconforming finite elements  nonoverlapping domain decomposition  convergence rate  geometric convergence