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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：53/0  |  提交时间：2023/02/07
Time-dependent Maxwell-Dirac system  Error estimate  Topological insulator  Graphene  Superconductor  Crank-Nicolson Galerkin finite element method  
Convergence rate of multiscale finite element method for various boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 卷号: 374, 页码: 8
作者:  Ye, Changqing;  Dong, Hao;  Cui, Junzhi
收藏  |  浏览/下载：147/0  |  提交时间：2020/05/24
Multiscale finite element method  Boundary problems  Hemivariational inequality  Homogenization theory  Numerical convergence rate  
Convergence and quasi-optimality of an adaptive finite element method for elliptic Robin boundary control problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 356, 页码: 1-21
作者:  Shen, Yue;  Yan, Ningning;  Zhou, Zhaojie
收藏  |  浏览/下载：189/0  |  提交时间：2020/01/10
Elliptic optimal control problem  Robin boundary control  Adaptive finite element method  Convergence and quasi-optimality  
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  
Solution of exterior problem using ellipsoidal artificial boundary 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 231, 期号: 1, 页码: 434-446
作者:  Huang, Hongying;  Liu, Dongjie;  Yu, Dehao
收藏  |  浏览/下载：102/0  |  提交时间：2018/07/30
Artificial boundary method  Ellipsoidal harmonic functions  Exterior problem  Finite element method  Lame functions  Natural boundary reduction  
Upper and lower solution method for fourth-order four-point boundary value problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 卷号: 196, 期号: 2, 页码: 387-393
作者:  Zhang, Qin;  Chen, Shihua;  Lu, Jinhu
收藏  |  浏览/下载：72/0  |  提交时间：2018/07/30
lower and upper solution method  fourth-order ordinary differential equation  four-point boundary conditions  
Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 卷号: 157, 期号: 1, 页码: 1-29
作者:  Cao, LQ;  Cui, JZ;  Luo, JL
收藏  |  浏览/下载：82/0  |  提交时间：2018/07/30
multiscale asymptotic analysis  second-order elliptic type equation  highly oscillatory coefficient  finite element method  post-processing technique  
Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 卷号: 106, 期号: 2, 页码: 325-344
作者:  Li, ZC;  Lin, Q;  Yan, NN
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
elliptic equation  singularity problem  superconvergence  combined method  coupling technique  finite-element method  the Ritz-Galerkin method  penalty method  hybrid method