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Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 卷号: 419, 页码: 22
作者:  Long, Xiaonian;  Ding, Qianqian;  Mao, Shipeng
收藏  |  浏览/下载：96/0  |  提交时间：2023/02/07
Inductionless magnetohydrodynamics  Current density conservation  Euler semi-implicit  Error estimate  Mixed finite element method  
Convergence of adaptive nonconforming finite element method for Stokes optimal control problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 412, 页码: 23
作者:  Shen, Yue;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：70/0  |  提交时间：2023/02/07
Optimal control problem  Stokes equations  Control constraints  Adaptive nonconforming finite element method  Convergence and quasi-optimality  
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：57/0  |  提交时间：2023/02/07
Time-dependent Maxwell-Dirac system  Error estimate  Topological insulator  Graphene  Superconductor  Crank-Nicolson Galerkin finite element method  
Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 卷号: 344, 页码: 323-345
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载：167/0  |  提交时间：2018/09/08
Helmholtz equation  Time-harmonic Maxwell's equations  Well posedness  Electromagnetic wave  Plane wave basis  Error estimates  
A posteriori error analysis of nonconforming finite element methods for convection-diffusion problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 321, 页码: 416-426
作者:  Zhang, Bei;  Chen, Shaochun;  Zhao, Jikun;  Mao, Shipeng
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
A posteriori error estimates  Semi-robustness and robustness  Nonconforming quadrilateral finite elements  Convection-diffusion problem  
Robust error estimates for the finite element approximation of elliptic optimal control problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 卷号: 236, 期号: 6, 页码: 1370-1381
作者:  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
Optimal control problem  Bang-bang control  Finite element method  A priori error estimate  A posteriori error estimate  
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：108/0  |  提交时间：2018/07/30
Artificial boundary method  Ellipsoidal harmonic functions  Exterior problem  Finite element method  Lame functions  Natural boundary reduction  
Error estimates of triangular finite elements under a weak angle condition 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 230, 期号: 1, 页码: 329-331
作者:  Mao, Shipeng;  Shi, Zhongci
收藏  |  浏览/下载：87/0  |  提交时间：2018/07/30
Interpolation error estimates  Bramble-Hilbert lemma  Maximal angle condition  
A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 223, 期号: 1, 页码: 198-217
作者:  Yan, Ningning;  Zhou, Zhaojie
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
Constrained optimal-control problem  Convection-dominated diffusion equation  Edge-stabilization Galerkin method  A priori error estimate  A posteriori error estimate  
Vibration analysis of Kirchhoff plates by the Morley element method's 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 卷号: 213, 期号: 1, 页码: 14-34
作者:  Huang, Jianguo;  Guo, Ling;  Shi, Zhongci
收藏  |  浏览/下载：112/0  |  提交时间：2018/07/30
vibration analysis  Kirchhoff plates  Morley element  error estimates