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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:27/0  |  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  
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
Authors:  Yang, Zhiqiang;  Sun, Yi;  Cui, Junzhi;  Ma, Qiang
Favorite  |  View/Download:15/0  |  Submit date:2021/04/26
HTRH algorithms  Reduced order homogenization  Micro-meso-macro formulations  Multiple configurations  
Multi-scale asymptotic analysis and computation of the elliptic eigenvalue problems in curvilinear coordinates 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 卷号: 340, 页码: 340-365
Authors:  Ma, Qiang;  Li, Zhihui;  Cui, Junzhi
Favorite  |  View/Download:42/0  |  Submit date:2018/10/07
Homogenization method  Multi-scale asymptotic expansion  Eigenvalue problems  Finite element approximation  Coordinate transformation  
CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids 期刊论文
CALCOLO, 2017, 卷号: 54, 期号: 4, 页码: 1403-1417
Authors:  Zhang, Shangyou;  Zhang, Shuo
View  |  Adobe PDF(1589Kb)  |  Favorite  |  View/Download:209/30  |  Submit date:2018/07/23
Stokes problem  Mixed finite element  Continuous quadratic velocity  Discontinuous pressure  Hexahedral grid  Tetrahedral grid  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
Authors:  Huang, Na;  Ma, Chang-Feng
View  |  Adobe PDF(577Kb)  |  Favorite  |  View/Download:190/27  |  Submit date:2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
High-order three-scale method for mechanical behavior analysis of composite structures with multiple periodic configurations 期刊论文
COMPOSITES SCIENCE AND TECHNOLOGY, 2017, 卷号: 152, 页码: 198-210
Authors:  Yang, Zihao;  Zhang, Yang;  Dong, Hao;  Cui, Junzhi;  Guan, Xiaofei;  Yang, Zhiqiang
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Multiple periodic configurations  HOTS method  Multiscale finite element algorithm  Mechanical behaviors  
Multi-scale modal analysis for axisymmetric and spherical symmetric structures with periodic configurations 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2017, 卷号: 317, 页码: 1068-1101
Authors:  Li, Z. H.;  Ma, Q.;  Cui, J. Z.
Favorite  |  View/Download:15/0  |  Submit date:2018/07/30
Asymptotic expansion homogenization method  SOTS finite element algorithm  Modal analysis  Eigenvalue problem  Axisymmetric and spherical symmetric structure  Periodic configuration