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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
Authors:  Tang, Shibing;  Xu, Xuejun
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biharmonic problem  Schwarz framework  Bogner-Fox-Schmit element  Adini element  local multilevel method  
A ROBUST MULTILEVEL METHOD FOR THE TIME -HARMONIC MAXWELL EQUATION WITH HIGH WAVE NUMBER 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2016, 卷号: 38, 期号: 2, 页码: A856-A874
Authors:  Lu, Peipei;  Xu, Xuejun
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multilevel method  time-harmonic Maxwell equation  high wave number  continuous interior penalty finite element method  GMRES method  local Fourier analysis  
LOCAL AND PARALLEL FINITE ELEMENT ALGORITHM BASED ON MULTILEVEL DISCRETIZATION FOR EIGENVALUE PROBLEMS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2016, 卷号: 13, 期号: 1, 页码: 73-89
Authors:  Han, Xiaole;  Li, Yu;  Xie, Hehu;  You, Chunguang
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eigenvalue problem  multigrid  multilevel correction  local and araliel method  finite element method  
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
Authors:  Chen Huangxin;  Xu Xuejun;  Zheng Weiying
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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
Authors:  Xu, X.;  Chen, H.;  Hoppe, R. H. W.
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local multilevel methods  adaptive finite element methods  local smoothing  Schwarz theory  optimality