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The Crank-Nicolson Galerkin method and convergence for the time-dependent Maxwell-Dirac system under the Lorentz gauge 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 407, 页码: 20
作者:  Fu, Yaoyao;  Cao, Liqun
收藏  |  浏览/下载：51/0  |  提交时间：2023/02/07
Time-dependent Maxwell-Dirac system  Error estimate  Topological insulator  Graphene  Superconductor  Crank-Nicolson Galerkin finite element method  
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  
GUARANTEED EIGENVALUE BOUNDS FOR THE STEKLOV EIGENVALUE PROBLEM 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 3, 页码: 1395-1410
作者:  You, Chun'guang;  Xie, Hehu;  Liu, Xuefeng
收藏  |  浏览/下载：144/0  |  提交时间：2020/01/10
Steklov eigenvalue problem  eigenvalue bounds  Crouzeix-Raviart finite element method  verified computing  
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
作者:  Ma, Chupeng;  Cao, Liqun;  Huang, Jizu
收藏  |  浏览/下载：156/0  |  提交时间：2019/04/02
Maxwell-Schrodinger  finite element method  energy conserving  error estimates  
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
作者:  Ma, Chupeng;  Cao, Liqun
收藏  |  浏览/下载：149/0  |  提交时间：2018/07/30
Maxwell-Schrodinger equations  finite element method  Crank-Nicolson scheme  optimal error estimate  
Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 2, 页码: 820-841
作者:  Gong, Wei;  Xie, Hehu;  Yan, Ningning
收藏  |  浏览/下载：129/0  |  提交时间：2018/07/30
Optimal control problems  Elliptic equation  Control constraints  A posteriori error estimates  Adaptive finite element method  Multilevel correction method  
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 full multigrid method for nonlinear eigenvalue problems 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 10, 页码: 2037-2048
作者:  Jia, ShangHui;  Xie, HeHu;  Xie, ManTing;  Xu, Fei
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
nonlinear eigenvalue problem  full multigrid method  multilevel correction  finite element method  
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
作者:  Dong, Qiaoli;  Cao, Liqun
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Wave equation  Hole-filling method  Homogenization  Multiscale asymptotic method  Finite element method  A perforated domain  
MULTISCALE APPROACH FOR OPTIMAL DESIGN IN CONDUCTIVITY OF COMPOSITE MATERIALS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 卷号: 53, 期号: 3, 页码: 1325-1349
作者:  Liu, Jianjun;  Cao, Liqun;  Yan, Ningning;  Cui, Junzhi
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
optimal design in conductivity  composite materials  homogenization  multiscale asymptotic method  finite element method  the interior point optimizer