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Optimal quadratic element on rectangular grids for H-1 problems 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 25
作者:  Zeng, Huilan;  Zhang, Chen-Song;  Zhang, Shuo
收藏  |  浏览/下载:188/0  |  提交时间:2020/10/12
Optimal quadratic element  Rectangular grids  Boundary value problem  Eigenvalue problem  Lower bound  
Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 2, 页码: 914-934
作者:  Zhai, Qilong;  Xie, Hehu;  Zhang, Ran;  Zhang, Zhimin
收藏  |  浏览/下载:170/0  |  提交时间:2020/01/10
Weak Galerkin finite element method  Eigenvalue problem  Two-grid method  Two-space method  Lower bound  
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:168/0  |  提交时间:2018/07/30
Stokes eigenvalue problem  Eigenvalue bound  Crouzeix-Raviart element  Enriched Crouzeix-Raviart element  Explicit lower bound  
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
作者:  Hong, Qichen;  Xie, Hehu;  Yue, Meiling;  Zhang, Ning
收藏  |  浏览/下载:170/0  |  提交时间:2018/07/30
Eigenvalue problem  computable error estimate  guaranteed upper bound  guaranteed lower bound  complementary method  
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:867/157  |  提交时间:2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods 期刊论文
BIT NUMERICAL MATHEMATICS, 2015, 卷号: 55, 期号: 4, 页码: 1243-1266
作者:  Xie, Hehu
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
Eigenvalue problem  Multi-level correction  Multigrid  Finite element method  
A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2015, 卷号: 8, 期号: 3, 页码: 383-405
作者:  Han, Xiaole;  Li, Yu;  Xie, Hehu
收藏  |  浏览/下载:117/0  |  提交时间:2018/07/30
Steklov eigenvalue problem  multilevel correction  nonconforming finite element method  
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:116/0  |  提交时间:2020/01/10
computingthelowerandupperboundsoflaplaceeigenvalueproblembycombiningconformingandnonconformingfiniteelementmethods 期刊论文
sciencechinamathematics, 2012, 卷号: 55, 期号: 5, 页码: 1069
作者:  Luo Fusheng;  Lin Qun;  Xie Hehu
收藏  |  浏览/下载:131/0  |  提交时间:2020/01/10
ON EIGENVALUE BOUNDS AND ITERATION METHODS FOR DISCRETE ALGEBRAIC RICCATI EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 卷号: 29, 期号: 3, 页码: 341-366
作者:  Dai, Hua;  Bai, Zhong-Zhi
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
Discrete algebraic Riccati equation  Symmetric positive definite solution  Eigenvalue bound  Fixed-point iteration  Convergence theory