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Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations 期刊论文
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2021, 页码: 15
作者:  Liu, Xuefeng;  Nakao, Mitsuhiro T.;  You, Chun'guang;  Oishi, Shin'ichi
收藏  |  浏览/下载:127/0  |  提交时间:2021/04/26
Stokes equation  A posteriori error estimation  A priori error estimation  Finite element method  Hypercircle method  Eigenvalue problem  
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
作者:  Xie, Manting;  Xie, Hehu;  Liu, Xuefeng
收藏  |  浏览/下载:163/0  |  提交时间:2018/07/30
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
作者:  Huang, Na;  Ma, Chang-Feng
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载:822/150  |  提交时间:2018/07/25
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
作者:  Lin, Qun;  Luo, Fusheng;  Xie, Hehu
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
Stokes eigenvalue problem  finite element method  multilevel correction  multigrid  adaptive technique  
aposteriorerroranalysisforthenonconformingdiscretizationofstokeseigenvalueproblem 期刊论文
actamathematicasinicaenglishseries, 2014, 卷号: 30, 期号: 6, 页码: 949
作者:  Jia Shanghui;  Luo Fusheng;  Xie Hehu
收藏  |  浏览/下载:111/0  |  提交时间:2020/01/10
A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 卷号: 30, 期号: 6, 页码: 949-967
作者:  Jia Shang Hui;  Luo Fu Sheng;  Xie He Hu
收藏  |  浏览/下载:81/0  |  提交时间:2021/01/14
FINITE-ELEMENT APPROXIMATIONS  EQUATIONS  CONVERGENCE  ESTIMATORS  A posteriori error estimate  adaptive finite element method  nonconforming  Stokes eigenvalue problem  
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
作者:  Chen, Hongtao;  Jia, Shanghui;  Xie, Hehu
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
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
作者:  Jia, Shanghui;  Xie, Hehu;  Yin, Xiaobo;  Gao, Shaoqin
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
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
作者:  Yin, Xiaobo;  Xie, Hehu;  Jia, Shanghui;  Gao, Shaoqin
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
mixed finite element  stokes eigenvalue problem  asymptotic expansion  extrapolation