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A multilevel finite element method for Fredholm integral eigenvalue problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 卷号: 303, 页码: 173-184
作者:  Xie, Hehu;  Zhou, Tao
收藏  |  浏览/下载:122/0  |  提交时间:2018/07/30
Uncertainty quantification  Karhunen-Loeve expansion  Fredholm eigenvalue problem  Multigrid finite element  
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:121/0  |  提交时间:2018/07/30
Stokes eigenvalue problem  finite element method  multilevel correction  multigrid  adaptive technique  
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:121/0  |  提交时间:2018/07/30
Eigenvalue problem  Multi-level correction  Multigrid  Finite element method  
Numerical analysis for the approximation of optimal control problems with pointwise observations 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 卷号: 38, 期号: 18, 页码: 4502-4520
作者:  Chang, Lili;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
optimal control problems  pointwise observations  finite element method  a priori error estimate  a posteriori error estimate  
MULTILEVEL CORRECTION ADAPTIVE FINITE ELEMENT METHOD FOR SEMILINEAR ELLIPTIC EQUATION 期刊论文
APPLICATIONS OF MATHEMATICS, 2015, 卷号: 60, 期号: 5, 页码: 527-550
作者:  Lin, Qun;  Xie, Hehu;  Xu, Fei
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
semilinear elliptic problem  multilevel correction  adaptive finite element method  
The hole-filling method and the multiscale computation for the wave equations in perforated domains 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 卷号: 70, 期号: 8, 页码: 1743-1756
作者:  Dong, Qiaoli;  Cao, Liqun
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
Wave equation  Hole-filling method  Homogenization  Multiscale asymptotic method  Finite element method  A perforated domain  
Multiscale computation for transient heat conduction problem with radiation boundary condition in porous materials 期刊论文
FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2015, 卷号: 102-103, 页码: 7-18
作者:  Yang, Zhiqiang;  Cui, Junzhi;  Sun, Yi;  Ge, Jingran
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
Multiscale asymptotic analysis  Radiation boundary condition  Periodic porous materials  Transient heat transfer problem  
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:126/0  |  提交时间:2018/07/30
Steklov eigenvalue problem  multilevel correction  nonconforming finite element method  
A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term 期刊论文
MATHEMATICS AND COMPUTERS IN SIMULATION, 2015, 卷号: 114, 页码: 25-36
作者:  Shi, Dongyang;  Tang, Qili;  Gong, Wei
收藏  |  浏览/下载:129/0  |  提交时间:2018/07/30
Characteristics  Sobolev equation  Nonconforming finite element  The optimal order error estimates  Global superconvergence  
PDE-CONSTRAINED OPTIMAL CONTROL APPROACH FOR THE APPROXIMATION OF AN INVERSE CAUCHY PROBLEM 期刊论文
INVERSE PROBLEMS AND IMAGING, 2015, 卷号: 9, 期号: 3, 页码: 791-814
作者:  Chang, Lili;  Gong, Wei;  Sun, Guiquan;  Yan, Ningning
收藏  |  浏览/下载:139/0  |  提交时间:2018/07/30
Elliptic equation  Cauchy problem  Tikhonov regularization  PDE-constrained optimal control  finite element method