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Multiscale asymptotic analysis and computations for Steklov eigenvalue problem in periodically perforated domain 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 页码: 21
作者:  Ye, Shuyu;  Ma, Qiang;  Hu, Bing;  Cui, Junzhi;  Jiang, Xue
收藏  |  浏览/下载：166/0  |  提交时间：2021/10/26
corrector equations  error estimation  finite element computation  second-order two-scale asymptotic analysis  Steklov eigenvalue problem  
Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one-dimensional heat equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 10, 页码: 3552-3565
作者:  Zhao, Zhi-Xue;  Banda, Mapundi K.;  Guo, Bao-Zhu
浏览  |  Adobe PDF(475Kb)  |  收藏  |  浏览/下载：540/166  |  提交时间：2018/07/30
Inverse Problem  Matrix Pencil Method  Finite Difference Method  Truncated Singular Value Decomposition  Generalized Cross-validation  
Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2017, 卷号: 298, 页码: 201-220
作者:  Dong, Hao;  Nie, Yufeng;  Cui, Junzhi;  Wu, Yatao;  Yang, Zihao
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
Multiscale asymptotic analysis  Damped wave equations  Quasi-periodic structure  Second-order two-scale numerical method  Newmark scheme  
Second-order asymptotic algorithm for heat conduction problems of periodic composite materials in curvilinear coordinates 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 卷号: 306, 页码: 87-115
作者:  Ma, Qiang;  Cui, Junzhi;  Li, Zhihui;  Wang, Ziqiang
收藏  |  浏览/下载：125/0  |  提交时间：2018/07/30
Asymptotic analysis  Heat conduction equation  Quasi-periodic problem  Coordinate transformation  Finite element computation  Error estimation  
Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2016, 卷号: 32, 期号: 2, 页码: 510-530
作者:  Yang, Zhiqiang;  Cui, Junzhi;  Wang, Ziqiang;  Zhang, Yang
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
multiscale asymptotic expansion  error estimates  periodic porous materials  integrated heat transfer  
Second-order two-scale analysis and numerical algorithms for the hyperbolic-parabolic equations with rapidly oscillating coefficients 期刊论文
CHINESE PHYSICS B, 2015, 卷号: 24, 期号: 9, 页码: 14
作者:  Dong Hao;  Nie Yu-Feng;  Cui Jun-Zhi;  Wu Ya-Tao
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
hyperbolic-parabolic equations  rapidly oscillating coefficients  second-order two-scale numerical method  Newmark scheme  
secondordertwoscaleanalysisandnumericalalgorithmsforthehyperbolicparabolicequationswithrapidlyoscillatingcoefficients 期刊论文
chinesephysicsb, 2015, 卷号: 24, 期号: 9
作者:  Dong Hao;  Nie Yufeng;  Cui Junzhi;  Wu Yatao
收藏  |  浏览/下载：113/0  |  提交时间：2020/01/10
Extrapolation methods to compute hypersingular integral in boundary element methods 期刊论文
SCIENCE CHINA-MATHEMATICS, 2013, 卷号: 56, 期号: 8, 页码: 1647-1660
作者:  Li Jin;  Zhang XiaoPing;  Yu DeHao
收藏  |  浏览/下载：128/0  |  提交时间：2021/01/14
CAUCHY PRINCIPAL VALUE  FINITE-PART INTEGRALS  GAUSSIAN QUADRATURE  SINGULAR-INTEGRALS  NUMERICAL-SOLUTION  EQUATIONS  SUPERCONVERGENCE  CIRCLE  hypersingular integrals  trapezoidal rule  asymptotic error expansion  extrapolation algorithm  
Extrapolation and superconvergence of the Steklov eigenvalue problem 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2010, 卷号: 33, 期号: 1, 页码: 25-44
作者:  Li, Mingxia;  Lin, Qun;  Zhang, Shuhua
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
The Steklov eigenvalue problem  Graded meshes  Richardson extrapolation  Superconvergence  A posteriori error estimators  
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：116/0  |  提交时间：2018/07/30
Second order elliptic eigenvalue problem  Mixed finite element method  Asymptotic error expansion  Richardson extrapolation  Raviart-Thomas element