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Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations 期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2022, 页码: 39
Authors:  Roeckner, Michael;  Xie, Longjie;  Yang, Li
Favorite  |  View/Download:6/0  |  Submit date:2022/04/29
Stochastic hyperbolic-parabolic equations  Averaging principle  Strong and weak convergence  Homogenization  
Self-propulsion dynamics of small droplets on general surfaces with curvature gradient 期刊论文
PHYSICS OF FLUIDS, 2021, 卷号: 33, 期号: 8, 页码: 13
Authors:  Chen, Yujuan;  Xu, Xianmin
Favorite  |  View/Download:13/0  |  Submit date:2021/10/26
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
Authors:  Ye, Shuyu;  Ma, Qiang;  Hu, Bing;  Cui, Junzhi;  Jiang, Xue
Favorite  |  View/Download:13/0  |  Submit date:2021/10/26
corrector equations  error estimation  finite element computation  second-order two-scale asymptotic analysis  Steklov eigenvalue problem  
Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials 期刊论文
APPLIED MATHEMATICAL MODELLING, 2021, 卷号: 92, 页码: 565-593
Authors:  Ma, Qiang;  Ye, Shuyu;  Cui, Junzhi;  Yang, Zhiqiang;  Jiang, Xue;  Li, Zhihui
Favorite  |  View/Download:36/0  |  Submit date:2021/04/26
Hierarchically perforated structure  Successive two-scale asymptotic analysis  Neumann-type elliptic eigenvalue problem  Second-order two-scale and three-scale  asymptotic computations  Finite element simulation  
Second-Order Asymptotic Analysis and Computations of Axially and Spherically Symmetric Piezoelectric Problems for Composite Structures 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 2, 页码: 689-731
Authors:  Ma, Qiang;  Wang, Hao;  Yang, Zhiqiang;  Li, Zhihui;  Cui, Junzhi
Favorite  |  View/Download:41/0  |  Submit date:2020/05/24
Axially and spherically symmetric piezoelectricity  Periodic composite materials  Multi-scale expansion homogenization method  Second-order asymptotic approximation  Finite element simulation  
MULTISCALE ALGORITHMS AND COMPUTATIONS FOR THE TIME-DEPENDENT MAXWELL-SCHRODINGER SYSTEM IN HETEROGENEOUS NANOSTRUCTURES 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 2, 页码: A1091-A1120
Authors:  Ma, Chupeng;  Cao, Liqun;  Lin, Yanping
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Maxwell-Schrodinger system  homogenization method  multiscale asymptotic expansion  finite element method  
Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2015, 卷号: 35, 期号: 4, 页码: 1934-1977
Authors:  Dai, Xiaoying;  He, Lianhua;  Zhou, Aihui
Favorite  |  View/Download:20/0  |  Submit date:2018/07/30
adaptive finite element  a posteriori error estimator  convergence rate  complexity  multiple eigenvalue  
Second-order two-scale computations for conductive-radiative heat transfer problem in periodic porous materials 期刊论文
CHINESE PHYSICS B, 2014, 卷号: 23, 期号: 3
Authors:  Yang ZhiQiang;  Cui JunZhi;  Li BoWen
Favorite  |  View/Download:14/0  |  Submit date:2021/01/14
MECHANICAL PARAMETERS  FLUID-FLOW  HOMOGENIZATION  second-order two-scale (SOTS) computations  periodic porous materials  conductive-radiative heat transfer  
MULTISCALE COMPUTATIONS FOR 3D TIME-DEPENDENT MAXWELL'S EQUATIONS IN COMPOSITE MATERIALS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2010, 卷号: 32, 期号: 5, 页码: 2560-2583
Authors:  Zhang, Ya;  Cao, Li-Qun;  Wong, Yau-Shu
Favorite  |  View/Download:20/0  |  Submit date:2018/07/30
Maxwell's equations  homogenization  multiscale asymptotic expansion  composite materials  edge finite element  symplectic geometric scheme  
FINITE ELEMENT COMPUTATIONS OF KOLMOGOROV-PETROVSKY-PISKUNOV FRONT SPEEDS IN RANDOM SHEAR FLOWS IN CYLINDERS 期刊论文
MULTISCALE MODELING & SIMULATION, 2008, 卷号: 7, 期号: 3, 页码: 1029-1041
Authors:  Shen, Lihua;  Xin, Jack;  Zhou, Aihui
Favorite  |  View/Download:25/0  |  Submit date:2018/07/30
Kolmogorov-Petrovsky-Piskunov front speeds  random shear flows in cylinders  stochastic eigenvalue problems  two-scale finite element method