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Multiscale algorithm with high accuracy for the elastic equations in three-dimensional honeycomb structures 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 233, 期号: 4, 页码: 905-921
作者:  Liu, Xiao-Qi;  Cao, Li-Qun;  Zhu, Qi-Ding
收藏  |  浏览/下载：114/0  |  提交时间：2018/07/30
Homogenization  Multiscale asymptotic method  Elastic equations  Honeycomb structure  Multiscale finite element method  
Uniform optimal-order estimates for finite element methods for advection-diffusion equations 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2009, 卷号: 22, 期号: 4, 页码: 555-559
作者:  Lin, Qun;  Wang, Hong;  Zhang, Shuhua
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
Advection-diffusion equation  bilinear finite element method  linear triangular element method  nonconforming finite element method  
A two-order and two-scale computation method for nonselfadjoint elliptic problems with rapidly oscillatory coefficients 期刊论文
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2009, 卷号: 30, 期号: 12, 页码: 1579-1588
作者:  Su, Fang;  Cui, Jun-zhi;  Xu, Zhan
收藏  |  浏览/下载：113/0  |  提交时间：2018/07/30
nonselfadjoint elliptic problems  rapidly oscillatory coefficients  two-order and two-scale finite element method  
Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2009, 卷号: 59, 期号: 12, 页码: 3008-3032
作者:  Dong, Qiao-Li;  Cao, Li-Qun
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
Homogenization  Multiscale asymptotic expansion  The wave equation with rapidly oscillating coefficients  Finite element method  Symplectic geometric scheme  
CONVERGENCE AND QUASI-OPTIMAL COMPLEXITY OF A SIMPLE ADAPTIVE FINITE ELEMENT METHOD 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2009, 卷号: 43, 期号: 6, 页码: 1203-1219
作者:  Becker, Roland;  Mao, Shipeng
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
Adaptive finite elements  a posteriori error analysis  convergence of adaptive algorithms  complexity estimates  
A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2009, 卷号: 29, 期号: 4, 页码: 986-1007
作者:  Liu, Fang;  Madden, Niall;  Stynes, Martin;  Zhou, Aihui
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
reaction-diffusion  finite element  Shishkin mesh  two-scale discretization  sparse grid  
The adaptive immersed interface finite element method for elliptic and Maxwell interface problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 卷号: 228, 期号: 14, 页码: 5000-5019
作者:  Chen, Zhiming;  Xiao, Yuanming;  Zhang, Linbo
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
Adaptive finite element method  Interface problems  Non-body-fitted meshes  Elliptic equation  Maxwell's equations  
Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2009, 卷号: 59, 期号: 8, 页码: 1884-1893
作者:  Lin, Qun;  Xie, Hehu
收藏  |  浏览/下载：125/0  |  提交时间：2018/07/30
Second order elliptic eigenvalue problem  Mixed finite element method  Asymptotic error expansion  Richardson extrapolation  Raviart-Thomas element  
The two-scale finite element computation for thermoelastic problem in periodic perforated domain 期刊论文
ACTA PHYSICA SINICA, 2009, 卷号: 58, 期号: 6, 页码: S327-S337
作者:  Feng Yong-Ping;  Cui Jun-Zhi;  Deng Ming-Xiang
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
two-scale method  thermoelastic problem  periodic perforated domain  finite element method  
SUPERCONVERGENCE ESTIMATES OF FINITE ELEMENT METHODS FOR AMERICAN OPTIONS 期刊论文
APPLICATIONS OF MATHEMATICS, 2009, 卷号: 54, 期号: 3, 页码: 181-202
作者:  Lin, Qun;  Liu, Tang;  Zhang, Shuhua
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
American options  variational inequality  finite element methods  optimal and superconvergent estimates  interpolation postprocessing  a posteriori error estimators