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ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR THE MAXWELL-SCHRODINGER SYSTEM IN THE COULOMB GAUGE 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2019, 卷号: 16, 期号: 1, 页码: 139-166
Authors:  Ma, Chupeng;  Cao, Liqun;  Huang, Jizu
Favorite  |  View/Download:13/0  |  Submit date:2019/04/02
Maxwell-Schrodinger  finite element method  energy conserving  error estimates  
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
Favorite  |  View/Download:9/0  |  Submit date:2020/01/10
Maxwell-Schrodinger system  homogenization method  multiscale asymptotic expansion  finite element method  
Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2018, 卷号: 38, 期号: 4, 页码: 2074-2104
Authors:  Ma, Chupeng;  Cao, Liqun;  Lin, Yanping
Favorite  |  View/Download:13/0  |  Submit date:2019/01/11
error estimates  Crank-Nicolson  Galerkin method  Maxwell-Schrodinger  
A CRANK-NICOLSON FINITE ELEMENT METHOD AND THE OPTIMAL ERROR ESTIMATES FOR THE MODIFIED TIME-DEPENDENT MAXWELL-SCHRODINGER EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 1, 页码: 369-396
Authors:  Ma, Chupeng;  Cao, Liqun
Favorite  |  View/Download:11/0  |  Submit date:2018/07/30
Maxwell-Schrodinger equations  finite element method  Crank-Nicolson scheme  optimal error estimate  
Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2018, 卷号: 38, 期号: 4, 页码: 2074
Authors:  Ma, Chupeng;  Cao, Liqun;  Lin, Yanping
Favorite  |  View/Download:5/0  |  Submit date:2019/12/31
A CRANK-NICOLSON FINITE ELEMENT METHOD AND THE OPTIMAL ERROR ESTIMATES FOR THE MODIFIED TIME-DEPENDENT MAXWELL-SCHRODINGER EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 1, 页码: 369
Authors:  Ma, Chupeng;  Cao, Liqun
Favorite  |  View/Download:7/0  |  Submit date:2019/12/31
科学与工程计算的方法和应用———基于国家自然科学基金创新研究群体项目研究成果的综述 期刊论文
中国科学基金, 2018, 卷号: 032, 期号: 002, 页码: 141
Authors:  曹礼群;  陈志明;  许志强;  袁亚湘;  张林波;  郑伟英;  周爱辉
Favorite  |  View/Download:9/0  |  Submit date:2020/01/10
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
Authors:  Zhang, Yongwei;  Cao, Liqun;  Feng, Yangde;  Wang, Wu
Favorite  |  View/Download:9/0  |  Submit date:2018/07/30
The electromagnetic scattering problem  Maxwell's equations  Homogenization  Multiscale asymptotic expansion  A heterogeneous material  
The hole-filling method and the multiscale computation for the wave equations in perforated domains 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 卷号: 70, 期号: 8, 页码: 1743-1756
Authors:  Dong, Qiaoli;  Cao, Liqun
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Wave equation  Hole-filling method  Homogenization  Multiscale asymptotic method  Finite element method  A perforated domain  
A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2015, 卷号: 266, 页码: 149-168
Authors:  Huang, Jizu;  Cao, Liqun;  Yang, Chao
Favorite  |  View/Download:6/0  |  Submit date:2018/07/30
Radiation heat transfer equation  Homogenization  Multiscale asymptotic expansion  Composite materials  Porous media