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WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021, 卷号: 18, 期号: 2, 页码: 235-264
作者:  Zhang, Yongwei;  Cao, Liqun;  Shi, Dongyang
收藏  |  浏览/下载：135/0  |  提交时间：2021/04/26
Maxwell's equations  dispersive medium  well-posedness  the multiscale asymptotic expansion  finite element method  
Stochastic Multiscale Heat Transfer Analysis of Heterogeneous Materials with Multiple Random Configurations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2020, 卷号: 27, 期号: 2, 页码: 431-459
作者:  Yang, Zihao;  Guan, Xiaofei;  Cui, Junzhi;  Dong, Hao;  Wu, Ye;  Zhang, Jieqiong
收藏  |  浏览/下载：144/0  |  提交时间：2020/05/24
Multiple random configurations  heat transfer problem  reiterated homogenization analysis  micro-meso-macro formulations  stochastic multiscale model  
A multiscale method for wave propagation in 3D heterogeneous poroelastic media 期刊论文
GEOPHYSICS, 2019, 卷号: 84, 期号: 4, 页码: T237-T257
作者:  Zhang, Wensheng;  Zheng, Hui
收藏  |  浏览/下载：146/0  |  提交时间：2020/01/10
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
作者:  Ma, Chupeng;  Cao, Liqun;  Lin, Yanping
收藏  |  浏览/下载：160/0  |  提交时间：2020/01/10
Maxwell-Schrodinger system  homogenization method  multiscale asymptotic expansion  finite element method  
HETEROGENEOUS MULTISCALE METHOD FOR OPTIMAL CONTROL PROBLEM GOVERNED BY ELLIPTIC EQUATIONS WITH HIGHLY OSCILLATORY COEFFICIENTS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 5, 页码: 644-660
作者:  Ge, Liang;  Yan, Ningning;  Wang, Lianhai;  Liu, Wenbin;  Yang, Danping
收藏  |  浏览/下载：184/0  |  提交时间：2019/03/05
Constrained convex optimal control  Heterogeneous multiscale finite element  A priori error estimate  Elliptic equations with highly oscillatory coefficients  
A multiscale approach and a hybrid FE-BE algorithm for heterogeneous scattering of Maxwell's equations 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 319, 页码: 460-479
作者:  Zhang, Yongwei;  Cao, Liqun;  Feng, Yangde;  Wang, Wu
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
The electromagnetic scattering problem  Maxwell's equations  Homogenization  Multiscale asymptotic expansion  A heterogeneous material  
A mixed multiscale finite element method for convex optimal control problems with oscillating coefficients 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 卷号: 70, 期号: 4, 页码: 297-313
作者:  Chen, Yanping;  Huang, Yunqing;  Liu, Wenbin;  Yan, Ningning
收藏  |  浏览/下载：102/0  |  提交时间：2018/07/30
Multiscale control problem  Mixed finite element  Homogenization  A prior error estimates  
Multiscale analysis and numerical algorithm for the Schrodinger equations in heterogeneous media 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2010, 卷号: 217, 期号: 8, 页码: 3955-3973
作者:  Cao, Li-qun;  Luo, Jian-lan;  Wang, Chong-yu
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
Homogenization  Multiscale asymptotic expansion  Schrodinger equation  The effective mass approximation  Multiscale finite element method  
HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES 期刊论文
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2010, 卷号: 8, 期号: 4, 页码: 863-885
作者:  Du, Rui;  Ming, Pingbing
收藏  |  浏览/下载：90/0  |  提交时间：2018/07/30
Heterogeneous multiscale method  finite element method  numerical integration schemes  elliptic homogenization problems  
CONVERGENCE OF THE HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH NONSMOOTH MICROSTRUCTURES 期刊论文
MULTISCALE MODELING & SIMULATION, 2010, 卷号: 8, 期号: 5, 页码: 1770-1783
作者:  Du, Rui;  Ming, Pingbing
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
heterogeneous multiscale method  H-convergence  convergence rate