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WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021, 卷号: 18, 期号: 2, 页码: 235-264
作者:  Zhang, Yongwei;  Cao, Liqun;  Shi, Dongyang
收藏  |  浏览/下载：135/0  |  提交时间：2021/04/26
Maxwell's equations  dispersive medium  well-posedness  the multiscale asymptotic expansion  finite element method  
A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term 期刊论文
MATHEMATICS AND COMPUTERS IN SIMULATION, 2015, 卷号: 114, 页码: 25-36
作者:  Shi, Dongyang;  Tang, Qili;  Gong, Wei
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
Characteristics  Sobolev equation  Nonconforming finite element  The optimal order error estimates  Global superconvergence  
A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations 期刊论文
MATHEMATICAL AND COMPUTER MODELLING, 2011, 卷号: 53, 期号: 9-10, 页码: 1956-1969
作者:  Shi, Dongyang;  Gong, Wei;  Ren, Jincheng
收藏  |  浏览/下载：132/0  |  提交时间：2018/07/30
Stationary Stokes and Navier-Stokes equations  Nonconforming mixed finite element scheme  Inf-sup condition  Optimal error estimates  
A low order nonconforming anisotropic finite element approximation to parabolic problem 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2009, 卷号: 22, 期号: 3, 页码: 518-532
作者:  Shi, Dongyang;  Gong, Wei
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
Anisotropic meshes  nonconforming element  parabolic problem  superclose  superconvergence  
Convergence and superconvergence of a nonconforming finite element on anisotropic meshes 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2007, 卷号: 4, 期号: 1, 页码: 16-38
作者:  Mao, Shipeng;  Chen, Shaochun;  Shi, Dongyang
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
nonconforming finite element  anisotropic meshes  superconvergence  extrapolation  
A note on the quadrilateral mesh condition RDP (N,psi) 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2007, 卷号: 25, 期号: 1, 页码: 27-30
作者:  Shi, Dongyang;  Shi, Zhong-Ci;  Wu, Jingzhu
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
isoparametric finite element  optimal order error estimate  quadrilateral mesh condition