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Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection-Diffusion Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 卷号: 76, 期号: 1, 页码: 48-68
Authors:  Di, Yana;  Xie, Hehu;  Yin, Xiaobo
Favorite  |  View/Download:4/0  |  Submit date:2018/07/30
Convection-diffusion equation  Stabilization parameter  SUPG  Anisotropic mesh  
A MULTILEVEL NEWTON'S METHOD FOR EIGENVALUE PROBLEMS 期刊论文
APPLICATIONS OF MATHEMATICS, 2018, 卷号: 63, 期号: 3, 页码: 281-303
Authors:  He, Yunhui;  Li, Yu;  Xie, Hehu;  You, Chun'Guang;  Zhang, Ning
Favorite  |  View/Download:3/0  |  Submit date:2018/09/08
eigenvalue problem  finite element method  Newton's method  multilevel iteration  
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  
A multilevel correction adaptive finite element method for Kohn-Sham equation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 355, 页码: 436-449
Authors:  Hu, Guanghui;  Xie, Hehu;  Xu, Fei
Favorite  |  View/Download:3/0  |  Submit date:2018/07/30
Density functional theory  Kohn-Sham equation  Multilevel correction  Adaptive finite element method  
A MULTILEVEL CORRECTION TYPE OF ADAPTIVE FINITE ELEMENT METHOD FOR EIGENVALUE PROBLEMS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 6, 页码: A4208-A4235
Authors:  Hong, Qichen;  Xie, Hehu;  Xu, Fei
Favorite  |  View/Download:4/0  |  Submit date:2019/03/05
eigenvalue problem  multilevel correction  adaptive finite element method  convergence  optimal complexity  
FULLY COMPUTABLE ERROR BOUNDS FOR EIGENVALUE PROBLEM 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2018, 卷号: 15, 期号: 1-2, 页码: 260-276
Authors:  Hong, Qichen;  Xie, Hehu;  Yue, Meiling;  Zhang, Ning
Favorite  |  View/Download:3/0  |  Submit date:2018/07/30
Eigenvalue problem  computable error estimate  guaranteed upper bound  guaranteed lower bound  complementary method  
Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 2, 页码: 820-841
Authors:  Gong, Wei;  Xie, Hehu;  Yan, Ningning
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Optimal control problems  Elliptic equation  Control constraints  A posteriori error estimates  Adaptive finite element method  Multilevel correction method  
Computable Error Estimates for a Nonsymmetric Eigenvalue Problem 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2017, 卷号: 7, 期号: 3, 页码: 583-602
Authors:  Xie, Hehu;  Xie, Manting;  Yin, Xiaobo;  Yue, Meiling
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Nonsymmetric eigenvalue problem  computable error estimates  asymptotical exactness  finite element method  complementary method  
A Multilevel Correction Method for Interior Transmission Eigenvalue Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 2, 页码: 586-604
Authors:  Xie, Hehu;  Wu, Xinming
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Transmission eigenvalue problem  Finite element method  Error estimates  Multilevel correction method  
Superconvergence Analysis of Gradient Recovery Method for TM Model of Electromagnetic Scattering in the Cavity 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2017, 卷号: 9, 期号: 3, 页码: 543-553
Authors:  Jia, Shanghui;  Yao, Changhui;  Xie, Hehu
Favorite  |  View/Download:3/0  |  Submit date:2018/07/30
Scattering  cavity  TM model  gradient recovery method  superconvergence