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[期刊论文] 作者：Hongbo GUAN,Dongyang SHI,
来源：应用数学和力学：英文版 年份：2015
The lowest order P1-nonconforming triangular finite element method(FEM)for elliptic and parabolic interface problems is investigated. Under some reasonable regu...
,UNCONDITIONAL SUPERCONVERGENCE ANALYSIS OF AN H1-GALERKIN MIXED FINITE ELEMENT METHOD FOR TWO-DIMEN
[期刊论文] 作者：Dongyang Shi,Junjun Wang,
来源：计算数学（英文版） 年份：2019
An H1-Galerkin mixed finite element method (MFEM) is discussed for the two-dimensional Ginzburg-Landau equation with the bilinear element and zero order Raviart...
,SUPERCONVERGENCE ANALYSIS FOR TIME-FRACTIONAL DIFFUSION EQUATIONS WITH NONCONFORMING MIXED FINITE E
[期刊论文] 作者：Houchao Zhang,Dongyang Shi,
来源：计算数学（英文版） 年份：2019
In this paper,a fully discrete scheme based on the L1 approximation in temporal direction for the fractional derivative of order in (0,1) and nonconforming mixe...
,SUPERCONVERGENCE ANALYSIS OF THE STABLE CONFORMING RECTANGULAR MIXED FINITE ELEMENTS FOR THE LINEAR
[期刊论文] 作者：Dongyang Shi,Minghao Li,
来源：计算数学（英文版） 年份：2014
...
[期刊论文] 作者：Dongyang Shi,Ding Zhang,
来源：计算数学（英文版） 年份：2013
...
,AN ANISOTROPIC LOCKING-FREE NONCONFORMING TRIANGULAR FINITE ELEMENT METHOD FOR PLANAR LINEAR ELASTI
[期刊论文] 作者：Dongyang Shi,Chao Xu,
来源：计算数学（英文版） 年份：2012
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[期刊论文] 作者：Dongyang SHI,Xiaobin HAO,
来源：系统科学与复杂性学报（英文版） 年份：
In this paper, a new triangular element (Quasi-Carey element) is constructed by the idea of Specht element. It is shown that this Quasi-Carey element possesses...
[期刊论文] 作者：Dongyang SHI,Buying ZHANG,
来源：系统科学与复杂性学报(英文版) 年份：2010
A nonconforming finite element method for the nonlinear parabolic equations is studied in this paper.The convergence analysis is presented and the optimal error...
[期刊论文] 作者：Dongyang SHI,Wei GONG,
来源：系统科学与复杂性学报（英文版） 年份：2009
A low order nonconforming finite element is applied to the parabolic problem with anisotropic meshes. Both the semidiscrete and fully discrete forms are studied...
AN ANISOTROPIC NONCONFORMING FINITE ELEMENT SCHEME WITH MOVING GRIDS FOR PARABOLIC INTEGRO-DIFFERENT
[期刊论文] 作者：Dongyang SHI,Lin WANG,
来源：系统科学与复杂性学报（英文版） 年份：2011
A Crank-Nicolson scheme based on nonconforming finite element with moving grids is discussed for a class of parabolic integro-differential equations under aniso...
[会议论文] 作者：Dongyang Shi,Xiaobin Hao,
来源：2006年郑州大学博士生学术论坛 年份：2006
In this paper,A new triangular element (Quasi-Carey element) is constructed by the ide of Specht element.On the one hand,it is shown that Quasi-Carey elemen...
UNCONDITIONALLY OPTIMAL ERROR ESTIMATES OF THE BILINEAR-CONSTANT SCHEME FOR TIME-DEPENDENT NAVIER-ST
[期刊论文] 作者：Huaijun Yang,Dongyang Shi,
来源：计算数学（英文版） 年份：2022
In this paper,the unconditional error estimates are presented for the time-dependent Navier-Stokes equations by the bilinear-constant scheme.The corresponding optimal error estimates for the velocity and the pressure are derived uncondition......
Superconvergence of a Nonconforming Finite Element Approximation to Viscoelasticity Type Equations o
[期刊论文] 作者：Dongyang Shi Yucheng Peng Shao,
来源：高等学校计算数学学报：英文版 年份：2006
The main aim of this paper is to study the approximation to viscoelasticity type equations with a Crouzeix-Raviart type nonconforming finite element on the...
[期刊论文] 作者：Dongyang Shi,Lifang Pei,Shaoch,
来源：高等学校计算数学学报：英文版 年份：2007
The main aim of this paper is to provide convergence analysis of Quasi-Wilson nonconforming finite element to Maxwell's equations under arbitrary quadri...
[期刊论文] 作者：Dongyang Shi,Lifang Pei,Shaoch,
来源：高等学校计算数学学报 年份：2004
The main aim of this paper is to provide convergence analysis of Quasi-Wilson nonconforming finite element to Maxwells equations under arbitrary quadrilateral m...
Superconvergence of a Nonconforming Finite Element Approximation to Viscoelasticity Type Equations o
[期刊论文] 作者：Dongyang Shi,Yucheng Peng,Shao,
来源：黑龙江科技信息 年份：2006
本文通过对荣华二采区10...
[期刊论文] 作者：Chao XU,Dongyang SHI,Xin LIAO,
来源：应用数学和力学：英文版 年份：2018
...
[期刊论文] 作者：Chao XU,Dongyang SHI,Xin LIAO,
来源：应用数学和力学：英文版 年份：2016
This paper studies a low order mixed finite element method（FEM） for nonstationary incompressible Navier-Stokes equations.The velocity and pressure are approximate...
[期刊论文] 作者：Dongyang Shi,Zhong-Ci Shi,Jingzhu Wu,
来源：计算数学（英文版） 年份：2007
The main aim of this paper is to show that the quadrilateral mesh condition RDP(N, ψ) is only sufficient but not necessary for the optimal order error estimate...
,AN ANISOTROPIC NONCONFORMING FINITE ELEMENT METHOD FOR APPROXIMATING A CLASS OF NONLINEAR SOBOLEV E
[期刊论文] 作者：Dongyang Shi,Haihong Wang,Yuepeng Du,
来源：计算数学（英文版） 年份：2009
An anisotropic nonconforming finite element method is presented for a class of nonlinear Sobolev equations. The optimal error estimates and supercloseness are o...
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