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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:60/0  |  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:165/0  |  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:203/0  |  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:115/0  |  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:114/0  |  提交时间:2018/07/30
Artificial boundary method  Ellipsoidal harmonic functions  Exterior problem  Finite element method  Lame functions  Natural boundary reduction  
New expansions of numerical eigenvalues by Wilson's element 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 225, 期号: 1, 页码: 213-226
作者:  Lin, Qun;  Huang, Hung-Tsai;  Li, Zi-Cai
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
Wilson's element  Eigenvalue problem  Extrapolation  Global superconvergence  
New expansions of numerical eigenvalues by finite elements 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 卷号: 217, 期号: 1, 页码: 9-27
作者:  Huang, Hung-Tsai;  Li, Zi-Cai;  Lin, Qun
收藏  |  浏览/下载:86/0  |  提交时间:2018/07/30
bilinear elements  rotated bilinear element  the extension of rotated bilinear element  Wilson's element  Eigenvalue problem  extrapolation  global superconvergence  
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:84/0  |  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:97/0  |  提交时间:2018/07/30
multiscale asymptotic analysis  second-order elliptic type equation  highly oscillatory coefficient  finite element method  post-processing technique  
A symmetric finite volume scheme for selfadjoint elliptic problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 卷号: 147, 期号: 1, 页码: 121-136
作者:  Liang, SD;  Ma, XL;  Zhou, AH
收藏  |  浏览/下载:87/0  |  提交时间:2018/07/30
finite element  finite volume  post-processing  symmetric scheme