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EFFICIENT MULTILEVEL PRECONDITIONERS FOR THREE-DIMENSIONAL PLANE WAVE HELMHOLTZ SYSTEMS WITH LARGE WAVE NUMBERS 期刊论文
MULTISCALE MODELING & SIMULATION, 2017, 卷号: 15, 期号: 3, 页码: 1242-1266
作者:  Hu, Qiya;  Li, Xuan
收藏  |  浏览/下载：200/0  |  提交时间：2018/07/30
Helmholtz equation  large wave numbers  plane wave methods  overlapping domain decomposition  multilevel preconditioners  3-level smoothers  
NOVEL MULTILEVEL PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 4, 页码: A1675-A1709
作者:  Hu, Qiya;  Li, Xuan
收藏  |  浏览/下载：162/0  |  提交时间：2018/07/30
Helmholtz equation  large wave numbers  plane wave methods  multilevel overlapping domain decomposition  multilevel overlapping preconditioner  smoothers  
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：197/0  |  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：143/0  |  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：153/0  |  提交时间：2018/07/30
multilevel methods  local smoothers  adaptive finite element methods  nonsymmetric and indefinite  optimality  
Multilevel augmentation methods for differential equations 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2006, 卷号: 24, 期号: 1-4, 页码: 213-238
作者:  Chen, ZY;  Wu, B;  Xu, YS
收藏  |  浏览/下载：154/0  |  提交时间：2018/07/30
multilevel augmentation methods  multiscale orthonormal bases in Sobolev spaces  differential equations