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Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2011, 卷号: 61, 期号: 4, 页码: 615-629
作者:  Chen, Hongtao;  Jia, Shanghui;  Xie, Hehu
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
Second order elliptic eigenvalue problem  Mixed finite element method  Raviart-Thomas  Rayleigh quotient formula  Supercloseness  Postprocessing  
Analysis of collocation solutions for a class of functional equations with vanishing delays 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2011, 卷号: 31, 期号: 2, 页码: 698-718
作者:  Brunner, Hermann;  Xie, Hehu;  Zhang, Ran
收藏  |  浏览/下载：121/0  |  提交时间：2018/07/30
functional equation with vanishing delay  q-difference equation  uniqueness and regularity of solution  collocation solutions  optimal order of convergence  integro-functional equation  
SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 卷号: 33, 期号: 5, 页码: 2664-2684
作者:  Huang, Qiumei;  Xie, Hehu;  Brunner, Hermann
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
pantograph delay differential equation  vanishing proportional delay  discontinuous Galerkin method  interpolation and iteration postprocessing  superconvergence  
COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 卷号: 33, 期号: 6, 页码: 3303-3332
作者:  Xie, Hehu;  Zhang, Ran;  Brunner, Hermann
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
Volterra functional integral equations  vanishing delays  pantograph-type delays  existence and regularity of solutions  collocation solutions  optimal order of convergence  
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：105/0  |  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  
SUPERCONVERGENCE OF GALERKIN SOLUTIONS FOR HAMMERSTEIN 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2009, 卷号: 6, 期号: 4, 页码: 696-710
作者:  Huang, Qiumei;  Xie, Hehu
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
superconvergence  interpolation post-processing  iterated Galerkin method  Hammerstein equations  smooth and weakly singular kernels