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Homogenization for polynomial optimization with unbounded sets 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 41
作者:  Huang, Lei;  Nie, Jiawang;  Yuan, Ya-Xiang
收藏  |  浏览/下载：73/0  |  提交时间：2023/02/07
Polynomial optimization  Homogenization  Moment-SOS relaxations  Optimality conditions  
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
作者:  Roeckner, Michael;  Xie, Longjie;  Yang, Li
收藏  |  浏览/下载：112/0  |  提交时间：2022/04/29
Stochastic hyperbolic-parabolic equations  Averaging principle  Strong and weak convergence  Homogenization  
AN EFFICIENT MULTIMODES MONTE CARLO HOMOGENIZATION METHOD FOR RANDOM MATERIALS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 卷号: 44, 期号: 3, 页码: A1752-A1774
作者:  Yang, Zihao;  Huang, Jizu;  Feng, Xiaobing;  Guan, Xiaofei
收藏  |  浏览/下载：47/0  |  提交时间：2023/02/07
stochastic homogenization  multimodes Monte Carlo method  finite element method  convergence and error estimates  random composite materials  
Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 292, 页码: 388-415
作者:  Zhang, Yiping
收藏  |  浏览/下载：140/0  |  提交时间：2021/10/26
Homogenization  Periodic coefficients  Rapidly oscillating potentials  Convergence rates  Eigenvalues and eigenfunctions  
A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term 期刊论文
APPLICABLE ANALYSIS, 2021, 页码: 34
作者:  Meng, Shixu;  Oudghiri-Idrissi, Othman;  Guzina, Bojan B.
收藏  |  浏览/下载：160/0  |  提交时间：2021/10/26
Waves in periodic media  dynamic homogenization  finite frequency  band gap  (Floquet-)Bloch transform  variational formulation  
A high-order three-scale reduced homogenization for nonlinear heterogeneous materials with multiple configurations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 卷号: 425, 页码: 25
作者:  Yang, Zhiqiang;  Sun, Yi;  Cui, Junzhi;  Ma, Qiang
收藏  |  浏览/下载：140/0  |  提交时间：2021/04/26
HTRH algorithms  Reduced order homogenization  Micro-meso-macro formulations  Multiple configurations  
Prediction on nonlinear mechanical performance of random particulate composites by a statistical second-order reduced multiscale approach 期刊论文
ACTA MECHANICA SINICA, 2021, 页码: 19
作者:  Yang, Zhiqiang;  Sun, Yi;  Liu, Yizhi;  Cui, Junzhi
收藏  |  浏览/下载：122/0  |  提交时间：2021/04/26
SSRM algorithms  Reduced order homogenization  Homogenization  Random composites  
Convergence rates in almost-periodic homogenization of higher-order elliptic systems 期刊论文
ASYMPTOTIC ANALYSIS, 2021, 卷号: 123, 期号: 1-2, 页码: 95-137
作者:  Xu, Yao;  Niu, Weisheng
收藏  |  浏览/下载：131/0  |  提交时间：2021/10/26
Almost periodic homogenization  higher-order elliptic systems  quantitative estimates  
ASYMPTOTIC ANALYSIS OF NONLINEAR ROBIN-TYPE BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC STRUCTURE 期刊论文
MULTISCALE MODELING & SIMULATION, 2021, 卷号: 19, 期号: 2, 页码: 830-845
作者:  Ye, Changqing;  Cui, Junzhi;  Dong, Hao
收藏  |  浏览/下载：149/0  |  提交时间：2021/10/26
elliptic hemivariational inequality  homogenization  finite element method  error estimates  contact problems  Robin problems  
Quantitative estimates in reiterated homogenization 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 卷号: 279, 期号: 11, 页码: 39
作者:  Niu, Weisheng;  Shen, Zhongwei;  Xu, Yao
收藏  |  浏览/下载：140/0  |  提交时间：2021/01/14
Reiterated homogenization  Convergence rates  Large-scale regularity estimates