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Author ID: shi.dongyang Recent zbMATH articles by "Shi, Dongyang"
Published as: Shi, Dongyang; Shi, Dong-yang; Shi, Dong-Yang; Shi, Dongyan; Shi, Dong-yan; Shi, Dong-Yan; Shi, DongYang; Shi, D. Y.; Shi, D.
External Links: dblp
Documents Indexed: 394 Publications since 1994
Co-Authors: 146 Co-Authors with 392 Joint Publications
4,070 Co-Co-Authors
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Co-Authors

0 single-authored
42 Chen, Shaochun
24 Wang, Fenling
17 Wang, Junjun
16 Guan, Hongbo
15 Pei, Lifang
15 Zhao, Yanmin
14 Yang, Huaijun
13 Li, Minghao
12 Hao, Xiaobin
12 Ren, Jincheng
11 Shi, Dongwei
11 Shi, Yanhua
11 Xu, Chao
11 Zhang, Houchao
10 Liao, Xin
10 Wang, Haihong
10 Zhang, Yadong
9 Liu, Qian
8 Gong, Wei
8 Tang, Qili
8 Yu, Zhiyun
7 Fan, Mingzhi
7 Liang, Hui
7 Wang, Lele
7 Zhou, Jiaquan
6 Li, Zhenzhen
6 Mao, Shipeng
6 Peng, Yucheng
6 Wang, Caixia
6 Wang, Huimin
6 Wang, Pingli
6 Wang, Qingshan
6 Wu, Yanmi
6 Xie, Pingli
5 Chen, Jinhuan
5 Guo, Cheng
5 Niu, Yuqi
5 Wu, Jingzhu
5 Yan, Fengna
5 Yao, Changhui
4 Hagiwara, Ichiro
4 Jia, Xu
4 Wu, Zhiqin
4 Zhang, Buying
3 Cao, Liqun
3 Dai, Ying
3 Dong, Xiaojing
3 Du, Yuepeng
3 Li, Meng
3 Li, Zhiyan
3 Liang, Qian
3 Ma, Ge
3 Pang, Fuzhen
3 Shi, Zhongci
3 Wang, Ran
3 Wang, Xiaofeng
3 Wang, Yu
3 Wang, Zhikai
3 Zhang, Ding
3 Zhang, Yiran
3 Zhang, Yongwei
2 Chen, Baofeng
2 Diao, Qun
2 e Ahad, Fazl
2 Guan, Xiaofei
2 Hu, Leyao
2 Kou, Jisheng
2 Li, Chaoqun
2 Li, Kaitai
2 Li, Qingfu
2 Li, Qingshan
2 Li, Qiuhong
2 Liang, Conggang
2 Mu, Pengcong
2 Turner, Ian William
2 Wang, Peizhen
2 Wang, Xiaoling
2 Wang, Xiuhua
2 Yang, Xiaoxia
2 Zhang, Fang
2 Zhang, Feiran
2 Zhao, Mingxia
2 Zhao, Yongcheng
2 Zhu, Huiqing
1 Chen, Hongru
1 Cui, Hongxin
1 Fang, Jianyin
1 Feng, Guijun
1 Feng, Weibing
1 Gao, Xinhui
1 Guan, Xianlei
1 Hao, Ying
1 Helal, Wasim M. K.
1 Hou, Mengmeng
1 Huang, Aixiang
1 Huang, Kun
1 Kou, Xiaoming
1 Li, Hongqun
1 Li, Hua
1 Li, Shi-Dan
...and 46 more Co-Authors
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Serials

27 Applied Mathematics and Computation
25 Mathematica Applicata
19 Mathematics in Practice and Theory
18 Journal of Computational Mathematics
17 Chinese Journal of Engineering Mathematics
15 Computers & Mathematics with Applications
15 Mathematica Numerica Sinica
15 Journal of Henan Normal University. Natural Science
13 Journal of Zhengzhou University. Natural Science Edition
11 Applied Numerical Mathematics
11 Applied Mathematics Letters
11 Applied Mathematics. Series A (Chinese Edition)
11 Acta Mathematica Scientia. Series A. (Chinese Edition)
9 Acta Mathematicae Applicatae Sinica. English Series
9 Journal of Systems Science and Complexity
8 Mathematical Methods in the Applied Sciences
8 Acta Mathematicae Applicatae Sinica
8 Journal of Xinyang Normal University. Natural Science Edition
7 Applied Mathematics and Mechanics. (English Edition)
6 Journal of Mathematical Analysis and Applications
6 Journal of Engineering Mathematics (Xi’an)
6 Journal of Systems Science and Mathematical Sciences
6 Numerical Methods for Partial Differential Equations
5 Numerical Mathematics
5 Journal of Mathematics. Wuhan University
5 Applied Mathematical Modelling
5 Applied Mathematics. Series B (English Edition)
5 International Journal of Numerical Analysis and Modeling
5 Advances in Applied Mathematics and Mechanics
4 Journal of Scientific Computing
4 Chinese Quarterly Journal of Mathematics
4 Acta Mathematica Scientia. Series B. (English Edition)
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Numerical Algorithms
3 Chinese Journal of Numerical Mathematics and Applications
3 Journal of Applied Mathematics
3 Journal of Shandong University. Natural Science
3 AMM. Applied Mathematics and Mechanics. (English Edition)
2 International Journal of Modern Physics B
2 Journal of Computational and Applied Mathematics
2 Mathematics and Computers in Simulation
2 Meccanica
2 Journal of Mathematical Research & Exposition
2 Advances in Mathematics
2 Journal of Biomathematics
2 International Journal of Computer Mathematics
2 Numerical Mathematics
2 Computational and Applied Mathematics
2 Pure and Applied Mathematics
1 Computers and Fluids
1 IMA Journal of Numerical Analysis
1 Hokkaido Mathematical Journal
1 Numerical Functional Analysis and Optimization
1 Journal of Jiangxi Normal University. Natural Science Edition
1 Mathematical and Computer Modelling
1 Systems Science and Mathematical Sciences
1 Acta Mathematica Scientia
1 SIAM Journal on Scientific Computing
1 Advances in Computational Mathematics
1 Journal of Luoyang University
1 Mathematical Problems in Engineering
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Taiwanese Journal of Mathematics
1 Journal of Inequalities and Applications
1 RIMS Kokyuroku
1 European Journal of Mechanics. A. Solids
1 Journal of Mathematical Study
1 Journal of Sichuan Normal University. Natural Science
1 Journal of Northwest Normal University. Natural Science
1 Journal of Tianjin Normal University. Natural Science Edition
1 Journal of Shangqiu Teachers College
1 Chinese Journal of Computational Mechanics
1 The Australian Journal of Mathematical Analysis and Applications
1 Journal of Lanzhou University of Technology
1 Boundary Value Problems
1 Journal of Zhoukou Normal University
1 Numerical Mathematics: Theory, Methods and Applications
1 Journal of Henan University. Natural Science
1 Science China. Mathematics
1 International Journal of Engineering Mathematics

Publications by Year

Citations contained in zbMATH Open

209 Publications have been cited 1,347 times in 480 Documents Cited by Year
An anisotropic nonconforming finite element with some superconvergence results. Zbl 1074.65133
Shi, Dongyang; Mao, Shipeng; Chen, Shaochun
69
2005
Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes. Zbl 1049.65129
Chen, Shaochun; Shi, Dongyang; Zhao, Yongcheng
52
2004
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Zbl 1382.65334
Zhao, Y.; Zhang, Y.; Shi, D.; Liu, Fawang; Turner, Ian
32
2016
Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation. Zbl 1314.65127
Shi, Dongyang; Wang, Pingli; Zhao, Yanmin
31
2014
Nonconforming mixed finite element approximation to the stationary Navier-Stokes equations on anisotropic meshes. Zbl 1166.76030
Shi, Dongyang; Ren, Jincheng
29
2009
Anisotropic interpolations with application to nonconforming elements. Zbl 1057.65082
Chen, Shaochun; Zhao, Yongcheng; Shi, Dongyang
27
2004
\(EQ^{\text{rot}}_1\) nonconforming finite element approximation to Signorini problem. Zbl 1273.74548
Shi, DongYang; Xu, Chao
27
2013
An anisotropic nonconforming finite element method for approximating a class of nonlinear Sobolev equations. Zbl 1212.65457
Shi, Dongyang; Wang, Haihong; Du, Yuepeng
26
2009
Nonconforming quadrilateral finite element method for a class of nonlinear sine-Gordon equations. Zbl 1288.65145
Shi, Dongyang; Pei, Lifang
26
2013
Low order Crouzeix-Raviart type nonconforming finite element methods for approximating Maxwell’s equations. Zbl 1160.78315
Shi, Dongyang; Pei, Lifang
25
2008
High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations. Zbl 1244.65143
Shi, Dongyang; Zhang, Yadong
25
2011
Unconditional superconvergence analysis of a Crank-Nicolson Galerkin FEM for nonlinear Schrödinger equation. Zbl 1407.65162
Shi, Dongyang; Wang, Junjun
23
2017
Superconvergence analysis of a two-grid method for semilinear parabolic equations. Zbl 1457.65091
Shi, Dongyang; Mu, Pengcong; Yang, Huaijun
20
2018
Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument. Zbl 1204.65110
Liang, Hui; Shi, Dongyang; Lv, Wanjin
19
2010
Accuracy analysis for quasi-Wilson element. Zbl 0988.65097
Chen, Shaochun; Shi, Dongyang
18
2000
Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation. Zbl 1427.65184
Shi, Dongyang; Yang, Huaijun
18
2017
Anisotropic nonconforming \(EQ_1^{rot}\) quadrilateral finite element approximation to second-order elliptic problems. Zbl 1276.65085
Shi, Dong-yang; Xu, Chao; Chen, Jin-huan
17
2013
Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation. Zbl 1477.65160
Li, Meng; Shi, Dongyang; Wang, Junjun; Ming, Wanyuan
17
2019
Non \(C^0\) nonconforming elements for elliptic fourth order singular perturbation problem. Zbl 1069.65125
Chen, Shaochun; Zhao, Yongchen; Shi, Dongyang
16
2005
Superconvergence of an \(H^1\)-Galerkin nonconforming mixed finite element method for a parabolic equation. Zbl 1350.65098
Zhang, Yadong; Shi, Dongyang
15
2013
A new approach of the lowest order anisotropic mixed finite element high accuracy analysis for nonlinear sine-Gordon equations. Zbl 1340.65202
Shi, Dongyang; Wang, Fenling; Fan, Mingzhi; Zhao, Yanmin
14
2015
Superclose and superconvergence of finite element discretizations for the Stokes equations with damping. Zbl 1366.76056
Shi, Dongyang; Yu, Zhiyun
14
2013
Nonconforming mixed finite element method for the stationary conduction-convection problem. Zbl 1165.65080
Shi, Dongyang; Ren, Jincheng
14
2009
Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element. Zbl 1411.65134
Shi, Dongyang; Wang, Junjun
14
2017
Nonconforming \(H^{1}\)-Galerkin mixed FEM for Sobolev equations on anisotropic meshes. Zbl 1187.65131
Shi, Dong-Yang; Wang, Hai-Hong
14
2009
Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element. Zbl 1368.65162
Shi, Dongyang; Wang, Junjun; Yan, Fengna
14
2017
Convergence and superconvergence of a nonconforming finite element on anisotropic meshes. Zbl 1122.65098
Mao, Shipeng; Chen, Shaochun; Shi, Dongyang
13
2007
Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation. Zbl 1411.65133
Shi, Dongyang; Wang, Junjun
13
2017
A least squares Galerkin-Petrov nonconforming mixed finite element method for the stationary conduction-convection problem. Zbl 1189.76345
Shi, Dongyang; Ren, Jincheng
13
2010
Superconvergence analysis of Wilson element on anisotropic meshes. Zbl 1231.65220
Shi, Dong-Yang; Liang, Hui
12
2007
A locking-free anisotropic nonconforming finite element for planar linear elasticity problem. Zbl 1125.65107
Shi, Dongyang; Mao, Shipeng; Chen, Shaochun
12
2007
Quasi-Wilson nonconforming element approximation for nonlinear dual phase lagging heat conduction equations. Zbl 1336.65169
Shi, Dongyang; Zhao, Yanmin; Wang, Fenling
11
2014
A class of Crouzeix-Raviart type nonconforming finite element methods for parabolic variational inequality problem with moving grid on anisotropic meshes. Zbl 1181.65100
Shi, Dongyang; Guan, Hongbo
11
2007
The superconvergence analysis of an anisotropic finite element. Zbl 1083.65103
Shi, Dongyang; Zhu, Huiqing
11
2005
Unconditional superconvergence analysis of a linearized Crank-Nicolson Galerkin FEM for generalized Ginzburg-Landau equation. Zbl 1437.65197
Li, Meng; Shi, Dongyang; Wang, Junjun
11
2020
Superconvergence analysis of conforming finite element method for nonlinear Schrödinger equation. Zbl 1410.65378
Shi, Dongyang; Liao, Xin; Wang, Lele
11
2016
A nonconforming anisotropic finite element approximation with moving grids for Stokes problem. Zbl 1108.76041
Shi, Dongyang; Zhang, Yiran
11
2006
Two-level mixed finite element methods for the Navier-Stokes equations with damping. Zbl 1404.65177
Li, Minghao; Shi, Dongyang; Li, Zhenzhen; Chen, Hongru
11
2019
A kind of improved Wilson arbitrary quadrilateral elements. Zbl 0811.65094
Shi, Dongyang; Chen, Shaochun
11
1994
Convergence and superconvergence analysis of a nonconforming finite element method for solving the Signorini problem. Zbl 1330.65182
Shi, Dongyang; Ren, Jincheng; Gong, Wei
10
2012
Highly efficient \(H^1\)-Galerkin mixed finite element method (MFEM) for parabolic integro-differential equation. Zbl 1294.65094
Shi, Dong-yang; Liao, Xin; Tang, Qi-li
9
2014
High accuracy analysis of nonconforming MFEM for constrained optimal control problems governed by Stokes equations. Zbl 1330.65178
Guan, Hongbo; Shi, Dongyang; Guan, Xiaofei
9
2016
A high accuracy NFEM for constrained optimal control problems governed by elliptic equations. Zbl 1335.49046
Guan, Hong-Bo; Shi, Dong-Yang
9
2014
Superconvergence analysis and extrapolation of quasi-Wilson nonconforming finite element method for nonlinear Sobolev equations. Zbl 1273.65123
Shi, Dongyang; Wang, Fenling; Zhao, Yanmin
9
2013
Accuracy analysis for Quasi-Carey element. Zbl 1173.65348
Shi, Dongyang; Hao, Xiaobin
9
2008
A new robust \(C^{0}\)-type nonconforming triangular element for singular perturbation problems. Zbl 1222.65128
Xie, Pingli; Shi, Dongyang; Li, Hua
9
2010
Unconditional superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for nonlinear Sobolev equations. Zbl 1390.65120
Shi, Dongyang; Wang, Junjun; Yan, Fengna
9
2018
A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes. Zbl 1337.65122
Shi, Dongyang; Yang, Huaijun
9
2016
Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for Sobolev equations. Zbl 1361.65065
Shi, Dongyang; Wang, Junjun
9
2016
A class of six-parameter nonconforming arbitrary quadrilateral elements. Zbl 0861.65093
Shi, Dongyang; Chen, Shaochun
8
1996
A new low-order non-conforming mixed finite-element scheme for second-order elliptic problems. Zbl 1241.65103
Shi, Dongyang; Wang, Caixia
8
2011
Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition. Zbl 1199.65317
Shi, Dongyang; Li, Zhiyan
8
2008
Superconvergence analysis of finite element method for time-fractional thermistor problem. Zbl 1427.65259
Shi, Dongyang; Yang, Huaijun
8
2018
Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation. Zbl 1471.65156
Zhao, Y. M.; Zhang, Y. D.; Liu, F.; Turner, I.; Shi, D. Y.
8
2016
Low order nonconforming mixed finite element method for nonstationary incompressible Navier-Stokes equations. Zbl 1348.76057
Xu, Chao; Shi, Dongyang; Liao, Xin
8
2016
Convergence analysis for a nonconforming membrane element on anisotropic meshes. Zbl 1120.65335
Shi, Dongyang; Chen, Shaochun; Hagiwara, Ichiro
7
2005
Anisotropic Crouzeix-Raviart type nonconforming finite element methods to variational inequality problem with displacement obstacle. Zbl 1340.65132
Shi, Dongyang; Wang, Caixia; Tang, Qili
7
2015
Nonconforming \(H^{1}\)-Galerkin mixed finite element method for strongly damped wave equations. Zbl 1284.65138
Shi, Dong-Yang; Tang, Qi-Li
7
2013
A new nonconforming mixed finite element scheme for the stationary Navier-Stokes equations. Zbl 1240.76019
Shi, Dongyang; Ren, Jincheng; Gong, Wei
7
2011
Low order Crouzeix-Raviart type nonconforming finite element methods for the 3D time-dependent Maxwell’s equations. Zbl 1165.78006
Shi, Dongyang; Pei, Lifang
7
2009
Two low order characteristic finite element methods for a convection-dominated transport problem. Zbl 1198.65187
Shi, Dong-Yang; Wang, Xiao-Ling
7
2010
On the anisotropic accuracy analysis of ACM’s nonconforming finite element. Zbl 1087.65103
Shi, Dong-yang; Mao, Shi-peng; Chen, Shao-chun
7
2005
Stabilized low order finite elements for Stokes equations with damping. Zbl 1330.76073
Li, Minghao; Shi, Dongyang; Dai, Ying
7
2016
Approximation of nonconforming quasi-Wilson element for sine-Gordon equations. Zbl 1289.65228
Shi, Dongyang; Zhang, Ding
6
2013
Superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{\mathrm{rot}}\) nonconforming finite element. Zbl 1398.65274
Shi, Dongyang; Wang, Junjun; Yan, Fengna
6
2018
Stabilized mixed finite element methods for the Navier-Stokes equations with damping. Zbl 1409.65097
Li, Zhenzhen; Shi, Dongyang; Li, Minghao
6
2019
Unconditionally superclose analysis of a new mixed finite element method for nonlinear parabolic equations. Zbl 1438.65292
Shi, Dongyang; Yan, Fengna; Wang, Junjun
6
2019
Superconvergence analysis of a two grid finite element method for Ginzburg-Landau equation. Zbl 1433.65222
Shi, Dongyang; Liu, Qian
6
2020
Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations. Zbl 1384.65062
Shi, Dongyang; Wang, Junjun
6
2017
A new second-order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations. Zbl 1158.76026
Shi, Dongyang; Ren, Jincheng; Hao, Xiaobin
6
2009
Superconvergence analysis for the stable conforming rectangular mixed finite elements for linear elasticity problems. Zbl 1313.74031
Shi, Dongyang; Li, Minghao
5
2014
Nonconforming mixed finite element methods for stationary incompressible magnetohydrodynamics. Zbl 1426.76306
Shi, Dongyang; Yu, Zhiyun
5
2013
The superconvergence analysis of linear triangular element on anisotropic meshes. Zbl 1142.65426
Shi, Dongyang; Liang, Hui
5
2007
Superconvergence of a nonconforming finite element approximation to viscoelasticity type equations on anisotropic meshes. Zbl 1132.65085
Shi, Dongyang; Peng, Yusheng; Chen, Shaochun
5
2006
Nonconforming finite element approximation of time-dependent Maxwell’s equations in Debye medium. Zbl 1315.78010
Shi, Dongyang; Yao, Changhui
5
2014
A low order anisotropic nonconforming characteristic finite element method for a convection-dominated transport problem. Zbl 1172.65059
Shi, Dong-Yang; Wang, Xiao-Ling
5
2009
Anisotropic rectangular nonconforming finite element analysis for Sobolev equations. Zbl 1221.65260
Shi, Dong-yang; Wang, Hai-hong; Guo, Cheng
5
2008
An \(H^1\)-Galerkin nonconforming mixed finite element method for integro-differential equation of parabolic type. Zbl 1212.65526
Shi, Dongyang; Wang, Haihong
5
2009
A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations. Zbl 1219.76013
Shi, Dongyang; Gong, Wei; Ren, Jincheng
5
2011
An efficient NFEM for optimal control problems governed by a bilinear state equation. Zbl 1442.49035
Guan, Hongbo; Shi, Dongyang
5
2019
Uniform superconvergence analysis of Ciarlet-Raviart scheme for bi-wave singular perturbation problem. Zbl 1405.65128
Shi, Dongyang; Wu, Yanmi
5
2018
A new approach of superconvergence analysis for two-dimensional time fractional diffusion equation. Zbl 1415.65231
Shi, Dongyang; Yang, Huaijun
5
2018
Morley type non-\(C^0\) nonconforming rectangular plate finite elements on anisotropic meshes. Zbl 1218.74023
Shi, Dongyang; Xie, Pingli
5
2010
Convergence and superconvergence analysis of finite element methods for the time fractional diffusion equation. Zbl 1435.65127
Li, Meng; Shi, Dongyang; Pei, Lifang
5
2020
\(P_1\)-nonconforming triangular finite element method for elliptic and parabolic interface problems. Zbl 1322.65106
Guan, Hongbo; Shi, Dongyang
5
2015
Superconvergence and extrapolation analysis of a new nonconforming mixed finite element approximation for parabolic equation. Zbl 1299.65214
Shi, Dongyang; Zhang, Yadong
5
2013
High accuracy analysis of new schemes for second order elliptic problem for recurrent event data. Zbl 1313.65308
Shi, Dongyang; Li, Minghao
4
2014
High accuracy analysis of a new mixed finite element method for nonlinear Schrödinger equation. Zbl 1340.65205
Zhao, Yanmin; Shi, Dongyang; Wang, Fenling
4
2015
Superconvergence analysis of nonconforming mixed finite element method for Stokes problem. Zbl 1164.65482
Shi, Dongyang; Wang, Caixia
4
2007
A new pattern of high accuracy analysis of anisotropic linear element for nonlinear sine-Gordon equations. Zbl 1324.65125
Shi, Dongyang; Wang, Fenling; Zhao, Yanmin
4
2014
Superconvergence analysis of splitting positive definite nonconforming mixed finite element method for pseudo-hyperbolic equations. Zbl 1296.65120
Shi, Dong-Yang; Tang, Qi-Li
4
2013
Superconvergence analysis of a nonconforming triangular element on anisotropic meshes. Zbl 1142.65085
Shi, Dongyang; Liang, Hui; Wang, Caixia
4
2007
Error estimates for rotated \(Q_1^{rot}\) element approximation of the eigenvalue problem on anisotropic meshes. Zbl 1168.65066
Shi, Dongyang; Peng, Yucheng; Chen, Shaochun
4
2009
Nonconforming finite element method for nonlinear parabolic equations. Zbl 1211.65129
Shi, Dongyang; Zhang, Buying
4
2010
Uniform superconvergent analysis of a new mixed finite element method for nonlinear bi-wave singular perturbation problem. Zbl 1414.65036
Shi, Dongyang; Wu, Yanmi
4
2019
Superconvergence analysis of the mixed finite element method for the Rosenau equation. Zbl 1464.65128
Shi, Dongyang; Jia, Xu
4
2020
Unconditional superconvergent analysis of a linearized finite element method for Ginzburg-Landau equation. Zbl 1427.35262
Shi, Dongyang; Liu, Qian
4
2020
Superconvergence analysis of two-grid finite element method for nonlinear Benjamin-Bona-Mahony equation. Zbl 1479.65010
Shi, Dongyang; Jia, Xu
4
2020
Superconvergence analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1418.65137
Shi, Dongyang; Yang, Huaijun
4
2019
Uniformly superconvergent analysis of an efficient two-grid method for nonlinear bi-wave singular perturbation problem. Zbl 1433.65312
Shi, Dongyang; Wu, Yanmi
4
2020
Superconvergence analysis of two-grid methods for bacteria equations. Zbl 1456.65122
Shi, Dongyang; Li, Chaoqun
4
2021
Unconditional convergence and superconvergence analysis for the transient Stokes equations with damping. Zbl 07329304
Li, Zhenzhen; Li, Minghao; Shi, Dongyang
3
2021
Superconvergence analysis of a mixed finite element approximation for the nonlinear fourth-order rosenau-RLW equation. Zbl 07384088
Shi, Dongyang; Jia, Xu
1
2021
Nonconforming quasi-Wilson finite element approximation for the nonlinear Rosenau equation. Zbl 07410070
Shi, Dongyang; Jia, Xu
1
2021
Unconditional superconvergence analysis of a linearized Crank-Nicolson Galerkin FEM for generalized Ginzburg-Landau equation. Zbl 1437.65197
Li, Meng; Shi, Dongyang; Wang, Junjun
11
2020
Superconvergence analysis of a two grid finite element method for Ginzburg-Landau equation. Zbl 1433.65222
Shi, Dongyang; Liu, Qian
6
2020
Convergence and superconvergence analysis of finite element methods for the time fractional diffusion equation. Zbl 1435.65127
Li, Meng; Shi, Dongyang; Pei, Lifang
5
2020
Superconvergence analysis of the mixed finite element method for the Rosenau equation. Zbl 1464.65128
Shi, Dongyang; Jia, Xu
4
2020
Unconditional superconvergent analysis of a linearized finite element method for Ginzburg-Landau equation. Zbl 1427.35262
Shi, Dongyang; Liu, Qian
4
2020
Superconvergence analysis of two-grid finite element method for nonlinear Benjamin-Bona-Mahony equation. Zbl 1479.65010
Shi, Dongyang; Jia, Xu
4
2020
Uniformly superconvergent analysis of an efficient two-grid method for nonlinear bi-wave singular perturbation problem. Zbl 1433.65312
Shi, Dongyang; Wu, Yanmi
4
2020
Superconvergence analysis of the lowest order rectangular Raviart-Thomas element for semilinear parabolic equation. Zbl 1437.65205
Yang, Huaijun; Shi, Dongyang
4
2020
Nonconforming finite element method for a generalized nonlinear Schrödinger equation. Zbl 1474.65375
Zhang, Houchao; Shi, Dongyang; Li, Qingfu
3
2020
Superconvergence analysis of a two-grid method for an energy-stable Ciarlet-Raviart type scheme of Cahn-Hilliard equation. Zbl 1465.65101
Liu, Qian; Shi, Dongyang
3
2020
Superconvergence analysis of a two-grid method for nonlinear hyperbolic equations. Zbl 1447.65065
Wei, Yifan; Shi, Dongyang
2
2020
Superconvergence analysis for nonlinear reaction-diffusion equation with BDF-FEM. Zbl 1446.65182
Wang, Junjun; Shi, Dongyang
2
2020
New error analysis of a second order BDF scheme for unsteady natural convection problem. Zbl 1453.76079
Liu, Qian; Shi, Dongyang
1
2020
Superconvergent analysis of a nonconforming mixed finite element method for non-stationary conduction-convection problem. Zbl 1443.65222
Shi, Dongyang; Liu, Qian
1
2020
Superconvergence analysis for the Maxwell’s equations in Debye medium with a thermal effect. Zbl 07409027
Yao, Changhui; Shi, Dongyang; Hou, Mengmeng
1
2020
Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation. Zbl 1477.65160
Li, Meng; Shi, Dongyang; Wang, Junjun; Ming, Wanyuan
17
2019
Two-level mixed finite element methods for the Navier-Stokes equations with damping. Zbl 1404.65177
Li, Minghao; Shi, Dongyang; Li, Zhenzhen; Chen, Hongru
11
2019
Stabilized mixed finite element methods for the Navier-Stokes equations with damping. Zbl 1409.65097
Li, Zhenzhen; Shi, Dongyang; Li, Minghao
6
2019
Unconditionally superclose analysis of a new mixed finite element method for nonlinear parabolic equations. Zbl 1438.65292
Shi, Dongyang; Yan, Fengna; Wang, Junjun
6
2019
An efficient NFEM for optimal control problems governed by a bilinear state equation. Zbl 1442.49035
Guan, Hongbo; Shi, Dongyang
5
2019
Uniform superconvergent analysis of a new mixed finite element method for nonlinear bi-wave singular perturbation problem. Zbl 1414.65036
Shi, Dongyang; Wu, Yanmi
4
2019
Superconvergence analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1418.65137
Shi, Dongyang; Yang, Huaijun
4
2019
Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem. Zbl 1429.65231
Shi, Dongyang; Yang, Huaijun
3
2019
Unconditional superconvergent analysis of a new mixed finite element method for Ginzburg-Landau equation. Zbl 1419.65042
Shi, Dongyang; Liu, Qian
3
2019
Superconvergence analysis for time-fractional diffusion equations with nonconforming mixed finite element method. Zbl 1449.65266
Zhang, Houchao; Shi, Dongyang
2
2019
Unconditionally optimal error estimates of a new mixed FEM for nonlinear Schrödinger equations. Zbl 1435.65164
Shi, Dongyang; Yang, Huaijun
2
2019
An efficient nonconforming finite element two-grid method for Allen-Cahn equation. Zbl 1464.65112
Shi, Dongyang; Liu, Qian
1
2019
Superconvergence analysis of low order nonconforming finite element methods for variational inequality problem with displacement obstacle. Zbl 1429.65279
Xu, Chao; Shi, Dongyang
1
2019
A nonconforming finite element method for the stationary Smagorinsky model. Zbl 1428.76104
Shi, Dongyang; Li, Minghao; Li, Zhenzhen
1
2019
Superconvergence analysis of a two-grid method for semilinear parabolic equations. Zbl 1457.65091
Shi, Dongyang; Mu, Pengcong; Yang, Huaijun
20
2018
Unconditional superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for nonlinear Sobolev equations. Zbl 1390.65120
Shi, Dongyang; Wang, Junjun; Yan, Fengna
9
2018
Superconvergence analysis of finite element method for time-fractional thermistor problem. Zbl 1427.65259
Shi, Dongyang; Yang, Huaijun
8
2018
Superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{\mathrm{rot}}\) nonconforming finite element. Zbl 1398.65274
Shi, Dongyang; Wang, Junjun; Yan, Fengna
6
2018
Uniform superconvergence analysis of Ciarlet-Raviart scheme for bi-wave singular perturbation problem. Zbl 1405.65128
Shi, Dongyang; Wu, Yanmi
5
2018
A new approach of superconvergence analysis for two-dimensional time fractional diffusion equation. Zbl 1415.65231
Shi, Dongyang; Yang, Huaijun
5
2018
Superconvergence analysis of a new low order nonconforming MFEM for time-fractional diffusion equation. Zbl 1395.65089
Shi, Dongyang; Yang, Huaijun
4
2018
Superconvergent estimates of conforming finite element method for nonlinear time-dependent joule heating equations. Zbl 1390.65056
Shi, Dongyang; Yang, Huaijun
3
2018
A new streamline diffusion finite element method for the generalized Oseen problem. Zbl 1382.65422
Xu, Chao; Shi, Dongyang; Liao, Xin
2
2018
A semi-analytical method for transverse vibration of sector-like thin plate with simply supported radial edges. Zbl 1480.74109
Guan, Xianlei; Tang, Jinyuan; Shi, Dongyan; shuai, Cijun; Wang, Qingshan
2
2018
A new error analysis of nonconforming Bergan’s energy-orthogonal element for the extended Fisher-Kolmogorov equation. Zbl 1404.65130
Pei, Lifang; Shi, Dongyang
2
2018
High accuracy analysis of anisotropic linear triangular element for multi-term time fractional diffusion equations. Zbl 1424.65170
Wang, Fenling; Fan, Mingzhi; Zhao, Yanmin; Shi, Zhengguang; Shi, Dongyang
1
2018
Unconditional superconvergence analysis of a Crank-Nicolson Galerkin FEM for nonlinear Schrödinger equation. Zbl 1407.65162
Shi, Dongyang; Wang, Junjun
23
2017
Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation. Zbl 1427.65184
Shi, Dongyang; Yang, Huaijun
18
2017
Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element. Zbl 1411.65134
Shi, Dongyang; Wang, Junjun
14
2017
Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element. Zbl 1368.65162
Shi, Dongyang; Wang, Junjun; Yan, Fengna
14
2017
Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation. Zbl 1411.65133
Shi, Dongyang; Wang, Junjun
13
2017
Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations. Zbl 1384.65062
Shi, Dongyang; Wang, Junjun
6
2017
A nonconforming quadrilateral finite element approximation to nonlinear Schrödinger equation. Zbl 1399.65336
Shi, Dongyang; Liao, Xin; Wang, Lele
4
2017
Free vibration of four-parameter functionally graded moderately thick doubly-curved panels and shells of revolution with general boundary conditions. Zbl 1443.74122
Wang, Qingshan; Shi, Dongyan; Liang, Qian; Pang, Fuzhen
3
2017
Free vibrations of composite laminated doubly-curved shells and panels of revolution with general elastic restraints. Zbl 1443.74121
Wang, Qingshan; Shi, Dongyan; Liang, Qian; Pang, Fuzhen
3
2017
New estimates of mixed finite element method for fourth-order wave equation. Zbl 1368.65236
Shi, Dongyang; Wang, Lele; Liao, Xin
1
2017
A new error analysis of Bergan’s energy-orthogonal element for a plate contact problem. Zbl 1393.74130
Pei, Lifang; Shi, Dongyang
1
2017
A nonconforming finite element method for constrained optimal control problems governed by parabolic equations. Zbl 1448.65161
Guan, Hong-Bo; Shi, Dong-Yang
1
2017
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Zbl 1382.65334
Zhao, Y.; Zhang, Y.; Shi, D.; Liu, Fawang; Turner, Ian
32
2016
Superconvergence analysis of conforming finite element method for nonlinear Schrödinger equation. Zbl 1410.65378
Shi, Dongyang; Liao, Xin; Wang, Lele
11
2016
High accuracy analysis of nonconforming MFEM for constrained optimal control problems governed by Stokes equations. Zbl 1330.65178
Guan, Hongbo; Shi, Dongyang; Guan, Xiaofei
9
2016
A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes. Zbl 1337.65122
Shi, Dongyang; Yang, Huaijun
9
2016
Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for Sobolev equations. Zbl 1361.65065
Shi, Dongyang; Wang, Junjun
9
2016
Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation. Zbl 1471.65156
Zhao, Y. M.; Zhang, Y. D.; Liu, F.; Turner, I.; Shi, D. Y.
8
2016
Low order nonconforming mixed finite element method for nonstationary incompressible Navier-Stokes equations. Zbl 1348.76057
Xu, Chao; Shi, Dongyang; Liao, Xin
8
2016
Stabilized low order finite elements for Stokes equations with damping. Zbl 1330.76073
Li, Minghao; Shi, Dongyang; Dai, Ying
7
2016
Double set parameter finite element method for two-sided displacement obstacle problem of clamped plate. Zbl 1335.74055
Shi, Dongyang; Pei, Lifang
3
2016
A new error analysis of Bergan’s energy-orthogonal element for two-sided displacement obstacle problem of clamped plate. Zbl 1381.74137
Shi, Dongyang; Pei, Lifang; Zhu, Hongyi
3
2016
A new nonconforming mixed finite element scheme for second order eigenvalue problem. Zbl 1410.65438
Shi, Dongyang; Wang, Lele; Liao, Xin
3
2016
A unified solution for free in-plane vibration of orthotropic circular, annular and sector plates with general boundary conditions. Zbl 1480.74130
Wang, Qingshan; Shi, Dongyan; Liang, Qian; e Ahad, Fazl
3
2016
Nonconforming mixed finite element method for time-dependent Maxwell’s equations with ABC. Zbl 1389.78009
Yao, Changhui; Shi, Dongyang
2
2016
A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation. Zbl 1344.74028
Wang, Qingshan; Shi, Dongyan; Shi, Xianjie
2
2016
A new approach of the lowest order anisotropic mixed finite element high accuracy analysis for nonlinear sine-Gordon equations. Zbl 1340.65202
Shi, Dongyang; Wang, Fenling; Fan, Mingzhi; Zhao, Yanmin
14
2015
Anisotropic Crouzeix-Raviart type nonconforming finite element methods to variational inequality problem with displacement obstacle. Zbl 1340.65132
Shi, Dongyang; Wang, Caixia; Tang, Qili
7
2015
\(P_1\)-nonconforming triangular finite element method for elliptic and parabolic interface problems. Zbl 1322.65106
Guan, Hongbo; Shi, Dongyang
5
2015
High accuracy analysis of a new mixed finite element method for nonlinear Schrödinger equation. Zbl 1340.65205
Zhao, Yanmin; Shi, Dongyang; Wang, Fenling
4
2015
The lowest order \(H^1\)-Galerkin mixed finite element method for semi-linear pseudo-hyperbolic equation. Zbl 1340.65201
Shi, Dongyang; Shi, Yanhua
3
2015
The Brezzi-Pitkäranta stabilization scheme for the elasticity problem. Zbl 1312.74039
Li, Minghao; Shi, Dongyang; Dai, Ying
3
2015
Streamline-diffusion method of a lowest order nonconforming rectangular finite element for convection-diffusion problem. Zbl 1321.65176
Shi, Dong-yang; Cui, Hong-xin; Guan, Hong-bo
2
2015
A new stabilization method for the elasticity problem. Zbl 1330.74167
Shi, Dong-yang; Li, Ming-hao; Xu, Chao
1
2015
Nonconforming double set parameter finite element methods for a fourth order variational inequality with two-sided displacement obstacle. Zbl 1333.65133
Shi, Dongyang; Pei, Lifang
1
2015
A modified super-Halley’s method free from second derivative. Zbl 1340.65095
Wang, Xiaofeng; Shi, Dongwei; Shi, Dongyang
1
2015
Three-dimensional lattice Boltzmann simulation of bubble behavior in a flap-induced shear flow. Zbl 1390.76777
Wang, Zhikai; Shi, Dongyan; Zhang, Aman
1
2015
A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term. Zbl 07313376
Shi, Dongyang; Tang, Qili; Gong, Wei
1
2015
A stable nonconforming mixed finite element scheme for elliptic optimal control problems. Zbl 1443.49036
Guan, Hongbo; Shi, Dongyang
1
2015
Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation. Zbl 1314.65127
Shi, Dongyang; Wang, Pingli; Zhao, Yanmin
31
2014
Quasi-Wilson nonconforming element approximation for nonlinear dual phase lagging heat conduction equations. Zbl 1336.65169
Shi, Dongyang; Zhao, Yanmin; Wang, Fenling
11
2014
Highly efficient \(H^1\)-Galerkin mixed finite element method (MFEM) for parabolic integro-differential equation. Zbl 1294.65094
Shi, Dong-yang; Liao, Xin; Tang, Qi-li
9
2014
A high accuracy NFEM for constrained optimal control problems governed by elliptic equations. Zbl 1335.49046
Guan, Hong-Bo; Shi, Dong-Yang
9
2014
Superconvergence analysis for the stable conforming rectangular mixed finite elements for linear elasticity problems. Zbl 1313.74031
Shi, Dongyang; Li, Minghao
5
2014
Nonconforming finite element approximation of time-dependent Maxwell’s equations in Debye medium. Zbl 1315.78010
Shi, Dongyang; Yao, Changhui
5
2014
High accuracy analysis of new schemes for second order elliptic problem for recurrent event data. Zbl 1313.65308
Shi, Dongyang; Li, Minghao
4
2014
A new pattern of high accuracy analysis of anisotropic linear element for nonlinear sine-Gordon equations. Zbl 1324.65125
Shi, Dongyang; Wang, Fenling; Zhao, Yanmin
4
2014
Convergence analysis for a family of improved super-Halley methods under general convergence condition. Zbl 1298.65095
Wang, Xiuhua; Shi, Dongyang; Kou, Jisheng
4
2014
The Crouzeix-Raviart type nonconforming finite element method for the nonstationary Navier-Stokes equations on anisotropic meshes. Zbl 1299.76151
Shi, Dong-yang; Wang, Hui-min
2
2014
A high accuracy analysis of a new mixed finite element method for Sobolev equation. Zbl 1313.65269
Shi, Yanhua; Shi, Dongyang
2
2014
High accuracy analysis of the characteristic-nonconforming FEM for a convection-dominated transport problem. Zbl 1293.65131
Shi, Dongyang; Guan, Hongbo; Gong, Wei
2
2014
A new second order fully-discrete scheme for sine-Gordon equations with \(EQ^{\text{rot}_1}\) nonconforming finite element. Zbl 1313.65310
Shi, Dongyang; Zhang, Ding
1
2014
A high accuracy analysis of the bilinear element for nonlinear dispersion-dissipative wave equations. Zbl 1340.65227
Wang, Fenling; Shi, Dongyang
1
2014
Numerical performance of higher-order semicompact scheme for arbitrary triangular cavity flow. Zbl 1334.76094
Wang, Xiaofeng; Shi, Dongyang
1
2014
\(EQ^{\text{rot}}_1\) nonconforming finite element approximation to Signorini problem. Zbl 1273.74548
Shi, DongYang; Xu, Chao
27
2013
...and 109 more Documents
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Cited by 571 Authors

134 Shi, Dongyang
28 Li, Hong
24 Liu, Yang
18 Zhao, Yanmin
17 Mao, Shipeng
17 Wang, Junjun
16 Chen, Shaochun
16 Guan, Hongbo
14 Wang, Fenling
14 Yang, Huaijun
13 Li, Meng
10 Fang, Zhichao
10 Pei, Lifang
9 He, Siriguleng
9 Li, Minghao
9 Liu, Fawang
9 Ren, Jincheng
9 Tang, Yifa
9 Wang, Jinfeng
9 Xu, Chao
8 Liao, Xin
7 Huang, Pengzhan
7 Liu, Qian
7 Yao, Changhui
7 Yin, Baoli
6 Feng, Xinlong
6 Gao, Wei
6 Li, Xiaolin
6 Liang, Hui
6 Shi, Zhengguang
6 Zhang, Houchao
5 Li, Zhenzhen
5 Liu, Wei
5 Song, Shicang
5 Tang, Qili
5 Turner, Ian William
5 Zhang, Tie
5 Zhang, Yadong
5 Zhao, Jikun
5 Zhu, Huiqing
4 Chen, Yanping
4 Gong, Wei
4 Jia, Xu
4 Li, Mingxia
4 Long, Xiaonian
4 Lu, Linzhang
4 Luo, Zhendong
4 Mei, Liquan
4 Shi, Xiangyu
4 Shi, Yanhua
4 Wang, Caixia
4 Wang, Jianyun
4 Wang, Lele
4 Wei, Yabing
4 Wu, Yanmi
4 Zhang, Zhimin
4 Zhang, Zhiyue
3 Abbaszadeh, Mostafa
3 Dai, Ying
3 Dehghan Takht Fooladi, Mehdi
3 Deng, Dingwen
3 Ding, Qianqian
3 Feng, Minfu
3 Guan, Xiaofei
3 Hao, Xiaobin
3 Huang, Chengming
3 Huang, Yunqing
3 Jaiswal, Jai Prakash
3 Jia, Shanghui
3 Li, Shuling
3 Luo, Zhongxuan
3 Meng, Zhaoliang
3 Qiu, Hailong
3 Shang, Yueqiang
3 Shi, Dongwei
3 Shi, Zhongci
3 Sun, Ming
3 Tian, Zhikun
3 Wang, Huimin
3 Wang, Nan
3 Wang, Qingshan
3 Wei, Yifan
3 Xie, Pingli
3 Yan, Fengna
3 Yang, Yong
3 Yu, Zhiyun
3 Zhang, Bei
3 Zhang, Chengjian
3 Zhang, Shuo
3 Zhao, Yongliang
3 Zhao, Zhihui
3 Zhu, Guoqing
2 Alnashri, Yahya Ahmad
2 An, Na
2 Avazzadeh, Zakieh
2 Blasco, Jordi
2 Cao, Weiming
2 Chen, Hongru
2 Chen, Jinru
2 Chen, Zhangxin
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Cited in 95 Serials

59 Computers & Mathematics with Applications
52 Applied Mathematics and Computation
27 Applied Numerical Mathematics
24 Journal of Scientific Computing
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