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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
作者:  Chen Wenbin;  Xu Xuejun;  Zhang Shangyou
收藏  |  浏览/下载：101/0  |  提交时间：2021/01/14
OPTIMIZED SCHWARZ METHODS  Finite element  Robin-Robin domain decomposition  Convergence rate  
LOCAL MULTILEVEL METHODS FOR SECOND-ORDER ELLIPTIC PROBLEMS WITH HIGHLY DISCONTINUOUS COEFFICIENTS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2012, 卷号: 30, 期号: 3, 页码: 223-248
作者:  Chen Huangxin;  Xu Xuejun;  Zheng Weiying
收藏  |  浏览/下载：114/0  |  提交时间：2021/01/14
BOUNDARY-VALUE-PROBLEMS  WEIGHTED L2 PROJECTION  FINITE-ELEMENT METHODS  MULTIGRID V-CYCLE  DOMAIN DECOMPOSITION  3 DIMENSIONS  ITERATIVE METHODS  ERROR ESTIMATORS  SCHWARZ METHODS  REFINED MESHES  Local multilevel method  Adaptive finite element method  Preconditioned conjugate gradient method  Discontinuous coefficients  
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：82/0  |  提交时间：2018/07/30
local multilevel methods  adaptive finite element methods  local smoothing  Schwarz theory  optimality  
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：107/0  |  提交时间：2018/07/30
finite elements  optimized Schwarz methods with Robin transmission conditions  nonoverlapping domain decomposition  convergence rate  Dirichlet-Neumann operators  
On the convergence of additive and multiplicative splitting iterations for systems of linear equations 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 卷号: 154, 期号: 1, 页码: 195-214
作者:  Bai, ZZ
收藏  |  浏览/下载：102/0  |  提交时间：2018/07/30
splitting iteration  additive/multiplicative Schwarz methods  Hermitian matrix  commutative matrix  diagonalizable matrix  convergence property