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Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements 期刊论文
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2018, 卷号: 35, 期号: 1, 页码: 335-354
Authors:  Xie, Manting;  Xie, Hehu;  Liu, Xuefeng
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Stokes eigenvalue problem  Eigenvalue bound  Crouzeix-Raviart element  Enriched Crouzeix-Raviart element  Explicit lower bound  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
Authors:  Huang, Na;  Ma, Chang-Feng
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PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
A multilevel correction method for Stokes eigenvalue problems and its applications 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 卷号: 38, 期号: 18, 页码: 4540-4552
Authors:  Lin, Qun;  Luo, Fusheng;  Xie, Hehu
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Stokes eigenvalue problem  finite element method  multilevel correction  multigrid  adaptive technique  
POSTPROCESSING AND HIGHER ORDER CONVERGENCE FOR THE MIXED FINITE ELEMENT APPROXIMATIONS OF THE STOKES EIGENVALUE PROBLEMS 期刊论文
APPLICATIONS OF MATHEMATICS, 2009, 卷号: 54, 期号: 3, 页码: 237-250
Authors:  Chen, Hongtao;  Jia, Shanghui;  Xie, Hehu
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Stokes eigenvalue problem  mixed finite element method  Rayleigh quotient formula  postprocessing  
Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods 期刊论文
APPLICATIONS OF MATHEMATICS, 2009, 卷号: 54, 期号: 1, 页码: 1-15
Authors:  Jia, Shanghui;  Xie, Hehu;  Yin, Xiaobo;  Gao, Shaoqin
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Stokes eigenvalue problem  stream function-vorticity-pressure method  asymptotic expansion  extrapolation  a posteriori error estimates  nonconforming finite element methods  
Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 卷号: 215, 期号: 1, 页码: 127-141
Authors:  Yin, Xiaobo;  Xie, Hehu;  Jia, Shanghui;  Gao, Shaoqin
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mixed finite element  stokes eigenvalue problem  asymptotic expansion  extrapolation