Edit Profile (opens in new tab) Shi, Dongyang Compute Distance To: Compute Author ID: 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. more...less External Links: dblp Documents Indexed: 394 Publications since 1994 Co-Authors: 146 Co-Authors with 392 Joint Publications 4,070 Co-Co-Authors all top 5 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 all top 5 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 all top 5 Fields 361 Numerical analysis (65-XX) 215 Partial differential equations (35-XX) 56 Mechanics of deformable solids (74-XX) 51 Fluid mechanics (76-XX) 29 Integral equations (45-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 14 Optics, electromagnetic theory (78-XX) 12 Biology and other natural sciences (92-XX) 3 Real functions (26-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Approximations and expansions (41-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications 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 1074.65133Shi, Dongyang; Mao, Shipeng; Chen, Shaochun 69 2005 Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes. Zbl 1049.65129Chen, Shaochun; Shi, Dongyang; Zhao, Yongcheng 52 2004 Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Zbl 1382.65334Zhao, Y.; Zhang, Y.; Shi, D.; Liu, Fawang; Turner, Ian 32 2016 Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation. Zbl 1314.65127Shi, Dongyang; Wang, Pingli; Zhao, Yanmin 31 2014 Nonconforming mixed finite element approximation to the stationary Navier-Stokes equations on anisotropic meshes. Zbl 1166.76030Shi, Dongyang; Ren, Jincheng 29 2009 Anisotropic interpolations with application to nonconforming elements. Zbl 1057.65082Chen, Shaochun; Zhao, Yongcheng; Shi, Dongyang 27 2004 \(EQ^{\text{rot}}_1\) nonconforming finite element approximation to Signorini problem. Zbl 1273.74548Shi, DongYang; Xu, Chao 27 2013 An anisotropic nonconforming finite element method for approximating a class of nonlinear Sobolev equations. Zbl 1212.65457Shi, Dongyang; Wang, Haihong; Du, Yuepeng 26 2009 Nonconforming quadrilateral finite element method for a class of nonlinear sine-Gordon equations. Zbl 1288.65145Shi, Dongyang; Pei, Lifang 26 2013 Low order Crouzeix-Raviart type nonconforming finite element methods for approximating Maxwell’s equations. Zbl 1160.78315Shi, Dongyang; Pei, Lifang 25 2008 High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations. Zbl 1244.65143Shi, Dongyang; Zhang, Yadong 25 2011 Unconditional superconvergence analysis of a Crank-Nicolson Galerkin FEM for nonlinear Schrödinger equation. Zbl 1407.65162Shi, Dongyang; Wang, Junjun 23 2017 Superconvergence analysis of a two-grid method for semilinear parabolic equations. Zbl 1457.65091Shi, Dongyang; Mu, Pengcong; Yang, Huaijun 20 2018 Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument. Zbl 1204.65110Liang, Hui; Shi, Dongyang; Lv, Wanjin 19 2010 Accuracy analysis for quasi-Wilson element. Zbl 0988.65097Chen, Shaochun; Shi, Dongyang 18 2000 Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation. Zbl 1427.65184Shi, Dongyang; Yang, Huaijun 18 2017 Anisotropic nonconforming \(EQ_1^{rot}\) quadrilateral finite element approximation to second-order elliptic problems. Zbl 1276.65085Shi, 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 1477.65160Li, Meng; Shi, Dongyang; Wang, Junjun; Ming, Wanyuan 17 2019 Non \(C^0\) nonconforming elements for elliptic fourth order singular perturbation problem. Zbl 1069.65125Chen, Shaochun; Zhao, Yongchen; Shi, Dongyang 16 2005 Superconvergence of an \(H^1\)-Galerkin nonconforming mixed finite element method for a parabolic equation. Zbl 1350.65098Zhang, 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 1340.65202Shi, Dongyang; Wang, Fenling; Fan, Mingzhi; Zhao, Yanmin 14 2015 Superclose and superconvergence of finite element discretizations for the Stokes equations with damping. Zbl 1366.76056Shi, Dongyang; Yu, Zhiyun 14 2013 Nonconforming mixed finite element method for the stationary conduction-convection problem. Zbl 1165.65080Shi, Dongyang; Ren, Jincheng 14 2009 Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element. Zbl 1411.65134Shi, Dongyang; Wang, Junjun 14 2017 Nonconforming \(H^{1}\)-Galerkin mixed FEM for Sobolev equations on anisotropic meshes. Zbl 1187.65131Shi, Dong-Yang; Wang, Hai-Hong 14 2009 Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element. Zbl 1368.65162Shi, Dongyang; Wang, Junjun; Yan, Fengna 14 2017 Convergence and superconvergence of a nonconforming finite element on anisotropic meshes. Zbl 1122.65098Mao, Shipeng; Chen, Shaochun; Shi, Dongyang 13 2007 Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation. Zbl 1411.65133Shi, Dongyang; Wang, Junjun 13 2017 A least squares Galerkin-Petrov nonconforming mixed finite element method for the stationary conduction-convection problem. Zbl 1189.76345Shi, Dongyang; Ren, Jincheng 13 2010 Superconvergence analysis of Wilson element on anisotropic meshes. Zbl 1231.65220Shi, Dong-Yang; Liang, Hui 12 2007 A locking-free anisotropic nonconforming finite element for planar linear elasticity problem. Zbl 1125.65107Shi, Dongyang; Mao, Shipeng; Chen, Shaochun 12 2007 Quasi-Wilson nonconforming element approximation for nonlinear dual phase lagging heat conduction equations. Zbl 1336.65169Shi, 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 1181.65100Shi, Dongyang; Guan, Hongbo 11 2007 The superconvergence analysis of an anisotropic finite element. Zbl 1083.65103Shi, Dongyang; Zhu, Huiqing 11 2005 Unconditional superconvergence analysis of a linearized Crank-Nicolson Galerkin FEM for generalized Ginzburg-Landau equation. Zbl 1437.65197Li, Meng; Shi, Dongyang; Wang, Junjun 11 2020 Superconvergence analysis of conforming finite element method for nonlinear Schrödinger equation. Zbl 1410.65378Shi, Dongyang; Liao, Xin; Wang, Lele 11 2016 A nonconforming anisotropic finite element approximation with moving grids for Stokes problem. Zbl 1108.76041Shi, Dongyang; Zhang, Yiran 11 2006 Two-level mixed finite element methods for the Navier-Stokes equations with damping. Zbl 1404.65177Li, Minghao; Shi, Dongyang; Li, Zhenzhen; Chen, Hongru 11 2019 A kind of improved Wilson arbitrary quadrilateral elements. Zbl 0811.65094Shi, Dongyang; Chen, Shaochun 11 1994 Convergence and superconvergence analysis of a nonconforming finite element method for solving the Signorini problem. Zbl 1330.65182Shi, Dongyang; Ren, Jincheng; Gong, Wei 10 2012 Highly efficient \(H^1\)-Galerkin mixed finite element method (MFEM) for parabolic integro-differential equation. Zbl 1294.65094Shi, 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 1330.65178Guan, Hongbo; Shi, Dongyang; Guan, Xiaofei 9 2016 A high accuracy NFEM for constrained optimal control problems governed by elliptic equations. Zbl 1335.49046Guan, Hong-Bo; Shi, Dong-Yang 9 2014 Superconvergence analysis and extrapolation of quasi-Wilson nonconforming finite element method for nonlinear Sobolev equations. Zbl 1273.65123Shi, Dongyang; Wang, Fenling; Zhao, Yanmin 9 2013 Accuracy analysis for Quasi-Carey element. Zbl 1173.65348Shi, Dongyang; Hao, Xiaobin 9 2008 A new robust \(C^{0}\)-type nonconforming triangular element for singular perturbation problems. Zbl 1222.65128Xie, Pingli; Shi, Dongyang; Li, Hua 9 2010 Unconditional superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for nonlinear Sobolev equations. Zbl 1390.65120Shi, Dongyang; Wang, Junjun; Yan, Fengna 9 2018 A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes. Zbl 1337.65122Shi, Dongyang; Yang, Huaijun 9 2016 Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for Sobolev equations. Zbl 1361.65065Shi, Dongyang; Wang, Junjun 9 2016 A class of six-parameter nonconforming arbitrary quadrilateral elements. Zbl 0861.65093Shi, Dongyang; Chen, Shaochun 8 1996 A new low-order non-conforming mixed finite-element scheme for second-order elliptic problems. Zbl 1241.65103Shi, Dongyang; Wang, Caixia 8 2011 Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition. Zbl 1199.65317Shi, Dongyang; Li, Zhiyan 8 2008 Superconvergence analysis of finite element method for time-fractional thermistor problem. Zbl 1427.65259Shi, Dongyang; Yang, Huaijun 8 2018 Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation. Zbl 1471.65156Zhao, 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 1348.76057Xu, Chao; Shi, Dongyang; Liao, Xin 8 2016 Convergence analysis for a nonconforming membrane element on anisotropic meshes. Zbl 1120.65335Shi, Dongyang; Chen, Shaochun; Hagiwara, Ichiro 7 2005 Anisotropic Crouzeix-Raviart type nonconforming finite element methods to variational inequality problem with displacement obstacle. Zbl 1340.65132Shi, Dongyang; Wang, Caixia; Tang, Qili 7 2015 Nonconforming \(H^{1}\)-Galerkin mixed finite element method for strongly damped wave equations. Zbl 1284.65138Shi, Dong-Yang; Tang, Qi-Li 7 2013 A new nonconforming mixed finite element scheme for the stationary Navier-Stokes equations. Zbl 1240.76019Shi, 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 1165.78006Shi, Dongyang; Pei, Lifang 7 2009 Two low order characteristic finite element methods for a convection-dominated transport problem. Zbl 1198.65187Shi, Dong-Yang; Wang, Xiao-Ling 7 2010 On the anisotropic accuracy analysis of ACM’s nonconforming finite element. Zbl 1087.65103Shi, Dong-yang; Mao, Shi-peng; Chen, Shao-chun 7 2005 Stabilized low order finite elements for Stokes equations with damping. Zbl 1330.76073Li, Minghao; Shi, Dongyang; Dai, Ying 7 2016 Approximation of nonconforming quasi-Wilson element for sine-Gordon equations. Zbl 1289.65228Shi, Dongyang; Zhang, Ding 6 2013 Superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{\mathrm{rot}}\) nonconforming finite element. Zbl 1398.65274Shi, Dongyang; Wang, Junjun; Yan, Fengna 6 2018 Stabilized mixed finite element methods for the Navier-Stokes equations with damping. Zbl 1409.65097Li, Zhenzhen; Shi, Dongyang; Li, Minghao 6 2019 Unconditionally superclose analysis of a new mixed finite element method for nonlinear parabolic equations. Zbl 1438.65292Shi, Dongyang; Yan, Fengna; Wang, Junjun 6 2019 Superconvergence analysis of a two grid finite element method for Ginzburg-Landau equation. Zbl 1433.65222Shi, Dongyang; Liu, Qian 6 2020 Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations. Zbl 1384.65062Shi, Dongyang; Wang, Junjun 6 2017 A new second-order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations. Zbl 1158.76026Shi, Dongyang; Ren, Jincheng; Hao, Xiaobin 6 2009 Superconvergence analysis for the stable conforming rectangular mixed finite elements for linear elasticity problems. Zbl 1313.74031Shi, Dongyang; Li, Minghao 5 2014 Nonconforming mixed finite element methods for stationary incompressible magnetohydrodynamics. Zbl 1426.76306Shi, Dongyang; Yu, Zhiyun 5 2013 The superconvergence analysis of linear triangular element on anisotropic meshes. Zbl 1142.65426Shi, Dongyang; Liang, Hui 5 2007 Superconvergence of a nonconforming finite element approximation to viscoelasticity type equations on anisotropic meshes. Zbl 1132.65085Shi, Dongyang; Peng, Yusheng; Chen, Shaochun 5 2006 Nonconforming finite element approximation of time-dependent Maxwell’s equations in Debye medium. Zbl 1315.78010Shi, Dongyang; Yao, Changhui 5 2014 A low order anisotropic nonconforming characteristic finite element method for a convection-dominated transport problem. Zbl 1172.65059Shi, Dong-Yang; Wang, Xiao-Ling 5 2009 Anisotropic rectangular nonconforming finite element analysis for Sobolev equations. Zbl 1221.65260Shi, 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 1212.65526Shi, Dongyang; Wang, Haihong 5 2009 A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations. Zbl 1219.76013Shi, Dongyang; Gong, Wei; Ren, Jincheng 5 2011 An efficient NFEM for optimal control problems governed by a bilinear state equation. Zbl 1442.49035Guan, Hongbo; Shi, Dongyang 5 2019 Uniform superconvergence analysis of Ciarlet-Raviart scheme for bi-wave singular perturbation problem. Zbl 1405.65128Shi, Dongyang; Wu, Yanmi 5 2018 A new approach of superconvergence analysis for two-dimensional time fractional diffusion equation. Zbl 1415.65231Shi, Dongyang; Yang, Huaijun 5 2018 Morley type non-\(C^0\) nonconforming rectangular plate finite elements on anisotropic meshes. Zbl 1218.74023Shi, Dongyang; Xie, Pingli 5 2010 Convergence and superconvergence analysis of finite element methods for the time fractional diffusion equation. Zbl 1435.65127Li, Meng; Shi, Dongyang; Pei, Lifang 5 2020 \(P_1\)-nonconforming triangular finite element method for elliptic and parabolic interface problems. Zbl 1322.65106Guan, Hongbo; Shi, Dongyang 5 2015 Superconvergence and extrapolation analysis of a new nonconforming mixed finite element approximation for parabolic equation. Zbl 1299.65214Shi, Dongyang; Zhang, Yadong 5 2013 High accuracy analysis of new schemes for second order elliptic problem for recurrent event data. Zbl 1313.65308Shi, Dongyang; Li, Minghao 4 2014 High accuracy analysis of a new mixed finite element method for nonlinear Schrödinger equation. Zbl 1340.65205Zhao, Yanmin; Shi, Dongyang; Wang, Fenling 4 2015 Superconvergence analysis of nonconforming mixed finite element method for Stokes problem. Zbl 1164.65482Shi, Dongyang; Wang, Caixia 4 2007 A new pattern of high accuracy analysis of anisotropic linear element for nonlinear sine-Gordon equations. Zbl 1324.65125Shi, Dongyang; Wang, Fenling; Zhao, Yanmin 4 2014 Superconvergence analysis of splitting positive definite nonconforming mixed finite element method for pseudo-hyperbolic equations. Zbl 1296.65120Shi, Dong-Yang; Tang, Qi-Li 4 2013 Superconvergence analysis of a nonconforming triangular element on anisotropic meshes. Zbl 1142.65085Shi, Dongyang; Liang, Hui; Wang, Caixia 4 2007 Error estimates for rotated \(Q_1^{rot}\) element approximation of the eigenvalue problem on anisotropic meshes. Zbl 1168.65066Shi, Dongyang; Peng, Yucheng; Chen, Shaochun 4 2009 Nonconforming finite element method for nonlinear parabolic equations. Zbl 1211.65129Shi, Dongyang; Zhang, Buying 4 2010 Uniform superconvergent analysis of a new mixed finite element method for nonlinear bi-wave singular perturbation problem. Zbl 1414.65036Shi, Dongyang; Wu, Yanmi 4 2019 Superconvergence analysis of the mixed finite element method for the Rosenau equation. Zbl 1464.65128Shi, Dongyang; Jia, Xu 4 2020 Unconditional superconvergent analysis of a linearized finite element method for Ginzburg-Landau equation. Zbl 1427.35262Shi, Dongyang; Liu, Qian 4 2020 Superconvergence analysis of two-grid finite element method for nonlinear Benjamin-Bona-Mahony equation. Zbl 1479.65010Shi, Dongyang; Jia, Xu 4 2020 Superconvergence analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1418.65137Shi, Dongyang; Yang, Huaijun 4 2019 Uniformly superconvergent analysis of an efficient two-grid method for nonlinear bi-wave singular perturbation problem. Zbl 1433.65312Shi, Dongyang; Wu, Yanmi 4 2020 Superconvergence analysis of two-grid methods for bacteria equations. Zbl 1456.65122Shi, Dongyang; Li, Chaoqun 4 2021 Unconditional convergence and superconvergence analysis for the transient Stokes equations with damping. Zbl 07329304Li, Zhenzhen; Li, Minghao; Shi, Dongyang 3 2021 Superconvergence analysis of a mixed finite element approximation for the nonlinear fourth-order rosenau-RLW equation. Zbl 07384088Shi, Dongyang; Jia, Xu 1 2021 Nonconforming quasi-Wilson finite element approximation for the nonlinear Rosenau equation. Zbl 07410070Shi, Dongyang; Jia, Xu 1 2021 Unconditional superconvergence analysis of a linearized Crank-Nicolson Galerkin FEM for generalized Ginzburg-Landau equation. Zbl 1437.65197Li, Meng; Shi, Dongyang; Wang, Junjun 11 2020 Superconvergence analysis of a two grid finite element method for Ginzburg-Landau equation. Zbl 1433.65222Shi, Dongyang; Liu, Qian 6 2020 Convergence and superconvergence analysis of finite element methods for the time fractional diffusion equation. Zbl 1435.65127Li, Meng; Shi, Dongyang; Pei, Lifang 5 2020 Superconvergence analysis of the mixed finite element method for the Rosenau equation. Zbl 1464.65128Shi, Dongyang; Jia, Xu 4 2020 Unconditional superconvergent analysis of a linearized finite element method for Ginzburg-Landau equation. Zbl 1427.35262Shi, Dongyang; Liu, Qian 4 2020 Superconvergence analysis of two-grid finite element method for nonlinear Benjamin-Bona-Mahony equation. Zbl 1479.65010Shi, Dongyang; Jia, Xu 4 2020 Uniformly superconvergent analysis of an efficient two-grid method for nonlinear bi-wave singular perturbation problem. Zbl 1433.65312Shi, Dongyang; Wu, Yanmi 4 2020 Superconvergence analysis of the lowest order rectangular Raviart-Thomas element for semilinear parabolic equation. Zbl 1437.65205Yang, Huaijun; Shi, Dongyang 4 2020 Nonconforming finite element method for a generalized nonlinear Schrödinger equation. Zbl 1474.65375Zhang, 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 1465.65101Liu, Qian; Shi, Dongyang 3 2020 Superconvergence analysis of a two-grid method for nonlinear hyperbolic equations. Zbl 1447.65065Wei, Yifan; Shi, Dongyang 2 2020 Superconvergence analysis for nonlinear reaction-diffusion equation with BDF-FEM. Zbl 1446.65182Wang, Junjun; Shi, Dongyang 2 2020 New error analysis of a second order BDF scheme for unsteady natural convection problem. Zbl 1453.76079Liu, Qian; Shi, Dongyang 1 2020 Superconvergent analysis of a nonconforming mixed finite element method for non-stationary conduction-convection problem. Zbl 1443.65222Shi, Dongyang; Liu, Qian 1 2020 Superconvergence analysis for the Maxwell’s equations in Debye medium with a thermal effect. Zbl 07409027Yao, Changhui; Shi, Dongyang; Hou, Mengmeng 1 2020 Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation. Zbl 1477.65160Li, Meng; Shi, Dongyang; Wang, Junjun; Ming, Wanyuan 17 2019 Two-level mixed finite element methods for the Navier-Stokes equations with damping. Zbl 1404.65177Li, Minghao; Shi, Dongyang; Li, Zhenzhen; Chen, Hongru 11 2019 Stabilized mixed finite element methods for the Navier-Stokes equations with damping. Zbl 1409.65097Li, Zhenzhen; Shi, Dongyang; Li, Minghao 6 2019 Unconditionally superclose analysis of a new mixed finite element method for nonlinear parabolic equations. Zbl 1438.65292Shi, Dongyang; Yan, Fengna; Wang, Junjun 6 2019 An efficient NFEM for optimal control problems governed by a bilinear state equation. Zbl 1442.49035Guan, Hongbo; Shi, Dongyang 5 2019 Uniform superconvergent analysis of a new mixed finite element method for nonlinear bi-wave singular perturbation problem. Zbl 1414.65036Shi, Dongyang; Wu, Yanmi 4 2019 Superconvergence analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1418.65137Shi, Dongyang; Yang, Huaijun 4 2019 Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem. Zbl 1429.65231Shi, Dongyang; Yang, Huaijun 3 2019 Unconditional superconvergent analysis of a new mixed finite element method for Ginzburg-Landau equation. Zbl 1419.65042Shi, Dongyang; Liu, Qian 3 2019 Superconvergence analysis for time-fractional diffusion equations with nonconforming mixed finite element method. Zbl 1449.65266Zhang, Houchao; Shi, Dongyang 2 2019 Unconditionally optimal error estimates of a new mixed FEM for nonlinear Schrödinger equations. Zbl 1435.65164Shi, Dongyang; Yang, Huaijun 2 2019 An efficient nonconforming finite element two-grid method for Allen-Cahn equation. Zbl 1464.65112Shi, Dongyang; Liu, Qian 1 2019 Superconvergence analysis of low order nonconforming finite element methods for variational inequality problem with displacement obstacle. Zbl 1429.65279Xu, Chao; Shi, Dongyang 1 2019 A nonconforming finite element method for the stationary Smagorinsky model. Zbl 1428.76104Shi, Dongyang; Li, Minghao; Li, Zhenzhen 1 2019 Superconvergence analysis of a two-grid method for semilinear parabolic equations. Zbl 1457.65091Shi, Dongyang; Mu, Pengcong; Yang, Huaijun 20 2018 Unconditional superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for nonlinear Sobolev equations. Zbl 1390.65120Shi, Dongyang; Wang, Junjun; Yan, Fengna 9 2018 Superconvergence analysis of finite element method for time-fractional thermistor problem. Zbl 1427.65259Shi, Dongyang; Yang, Huaijun 8 2018 Superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{\mathrm{rot}}\) nonconforming finite element. Zbl 1398.65274Shi, Dongyang; Wang, Junjun; Yan, Fengna 6 2018 Uniform superconvergence analysis of Ciarlet-Raviart scheme for bi-wave singular perturbation problem. Zbl 1405.65128Shi, Dongyang; Wu, Yanmi 5 2018 A new approach of superconvergence analysis for two-dimensional time fractional diffusion equation. Zbl 1415.65231Shi, Dongyang; Yang, Huaijun 5 2018 Superconvergence analysis of a new low order nonconforming MFEM for time-fractional diffusion equation. Zbl 1395.65089Shi, Dongyang; Yang, Huaijun 4 2018 Superconvergent estimates of conforming finite element method for nonlinear time-dependent joule heating equations. Zbl 1390.65056Shi, Dongyang; Yang, Huaijun 3 2018 A new streamline diffusion finite element method for the generalized Oseen problem. Zbl 1382.65422Xu, 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 1480.74109Guan, 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 1404.65130Pei, Lifang; Shi, Dongyang 2 2018 High accuracy analysis of anisotropic linear triangular element for multi-term time fractional diffusion equations. Zbl 1424.65170Wang, 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 1407.65162Shi, Dongyang; Wang, Junjun 23 2017 Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation. Zbl 1427.65184Shi, Dongyang; Yang, Huaijun 18 2017 Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element. Zbl 1411.65134Shi, Dongyang; Wang, Junjun 14 2017 Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element. Zbl 1368.65162Shi, Dongyang; Wang, Junjun; Yan, Fengna 14 2017 Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation. Zbl 1411.65133Shi, Dongyang; Wang, Junjun 13 2017 Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations. Zbl 1384.65062Shi, Dongyang; Wang, Junjun 6 2017 A nonconforming quadrilateral finite element approximation to nonlinear Schrödinger equation. Zbl 1399.65336Shi, 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 1443.74122Wang, 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 1443.74121Wang, Qingshan; Shi, Dongyan; Liang, Qian; Pang, Fuzhen 3 2017 New estimates of mixed finite element method for fourth-order wave equation. Zbl 1368.65236Shi, Dongyang; Wang, Lele; Liao, Xin 1 2017 A new error analysis of Bergan’s energy-orthogonal element for a plate contact problem. Zbl 1393.74130Pei, Lifang; Shi, Dongyang 1 2017 A nonconforming finite element method for constrained optimal control problems governed by parabolic equations. Zbl 1448.65161Guan, Hong-Bo; Shi, Dong-Yang 1 2017 Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Zbl 1382.65334Zhao, Y.; Zhang, Y.; Shi, D.; Liu, Fawang; Turner, Ian 32 2016 Superconvergence analysis of conforming finite element method for nonlinear Schrödinger equation. Zbl 1410.65378Shi, Dongyang; Liao, Xin; Wang, Lele 11 2016 High accuracy analysis of nonconforming MFEM for constrained optimal control problems governed by Stokes equations. Zbl 1330.65178Guan, Hongbo; Shi, Dongyang; Guan, Xiaofei 9 2016 A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes. Zbl 1337.65122Shi, Dongyang; Yang, Huaijun 9 2016 Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for Sobolev equations. Zbl 1361.65065Shi, Dongyang; Wang, Junjun 9 2016 Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation. Zbl 1471.65156Zhao, 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 1348.76057Xu, Chao; Shi, Dongyang; Liao, Xin 8 2016 Stabilized low order finite elements for Stokes equations with damping. Zbl 1330.76073Li, Minghao; Shi, Dongyang; Dai, Ying 7 2016 Double set parameter finite element method for two-sided displacement obstacle problem of clamped plate. Zbl 1335.74055Shi, 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 1381.74137Shi, Dongyang; Pei, Lifang; Zhu, Hongyi 3 2016 A new nonconforming mixed finite element scheme for second order eigenvalue problem. Zbl 1410.65438Shi, 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 1480.74130Wang, Qingshan; Shi, Dongyan; Liang, Qian; e Ahad, Fazl 3 2016 Nonconforming mixed finite element method for time-dependent Maxwell’s equations with ABC. Zbl 1389.78009Yao, 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 1344.74028Wang, 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 1340.65202Shi, 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 1340.65132Shi, Dongyang; Wang, Caixia; Tang, Qili 7 2015 \(P_1\)-nonconforming triangular finite element method for elliptic and parabolic interface problems. Zbl 1322.65106Guan, Hongbo; Shi, Dongyang 5 2015 High accuracy analysis of a new mixed finite element method for nonlinear Schrödinger equation. Zbl 1340.65205Zhao, Yanmin; Shi, Dongyang; Wang, Fenling 4 2015 The lowest order \(H^1\)-Galerkin mixed finite element method for semi-linear pseudo-hyperbolic equation. Zbl 1340.65201Shi, Dongyang; Shi, Yanhua 3 2015 The Brezzi-Pitkäranta stabilization scheme for the elasticity problem. Zbl 1312.74039Li, Minghao; Shi, Dongyang; Dai, Ying 3 2015 Streamline-diffusion method of a lowest order nonconforming rectangular finite element for convection-diffusion problem. Zbl 1321.65176Shi, Dong-yang; Cui, Hong-xin; Guan, Hong-bo 2 2015 A new stabilization method for the elasticity problem. Zbl 1330.74167Shi, 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 1333.65133Shi, Dongyang; Pei, Lifang 1 2015 A modified super-Halley’s method free from second derivative. Zbl 1340.65095Wang, Xiaofeng; Shi, Dongwei; Shi, Dongyang 1 2015 Three-dimensional lattice Boltzmann simulation of bubble behavior in a flap-induced shear flow. Zbl 1390.76777Wang, Zhikai; Shi, Dongyan; Zhang, Aman 1 2015 A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term. Zbl 07313376Shi, Dongyang; Tang, Qili; Gong, Wei 1 2015 A stable nonconforming mixed finite element scheme for elliptic optimal control problems. Zbl 1443.49036Guan, Hongbo; Shi, Dongyang 1 2015 Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation. Zbl 1314.65127Shi, Dongyang; Wang, Pingli; Zhao, Yanmin 31 2014 Quasi-Wilson nonconforming element approximation for nonlinear dual phase lagging heat conduction equations. Zbl 1336.65169Shi, Dongyang; Zhao, Yanmin; Wang, Fenling 11 2014 Highly efficient \(H^1\)-Galerkin mixed finite element method (MFEM) for parabolic integro-differential equation. Zbl 1294.65094Shi, Dong-yang; Liao, Xin; Tang, Qi-li 9 2014 A high accuracy NFEM for constrained optimal control problems governed by elliptic equations. Zbl 1335.49046Guan, Hong-Bo; Shi, Dong-Yang 9 2014 Superconvergence analysis for the stable conforming rectangular mixed finite elements for linear elasticity problems. Zbl 1313.74031Shi, Dongyang; Li, Minghao 5 2014 Nonconforming finite element approximation of time-dependent Maxwell’s equations in Debye medium. Zbl 1315.78010Shi, Dongyang; Yao, Changhui 5 2014 High accuracy analysis of new schemes for second order elliptic problem for recurrent event data. Zbl 1313.65308Shi, Dongyang; Li, Minghao 4 2014 A new pattern of high accuracy analysis of anisotropic linear element for nonlinear sine-Gordon equations. Zbl 1324.65125Shi, Dongyang; Wang, Fenling; Zhao, Yanmin 4 2014 Convergence analysis for a family of improved super-Halley methods under general convergence condition. Zbl 1298.65095Wang, 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 1299.76151Shi, Dong-yang; Wang, Hui-min 2 2014 A high accuracy analysis of a new mixed finite element method for Sobolev equation. Zbl 1313.65269Shi, Yanhua; Shi, Dongyang 2 2014 High accuracy analysis of the characteristic-nonconforming FEM for a convection-dominated transport problem. Zbl 1293.65131Shi, 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 1313.65310Shi, Dongyang; Zhang, Ding 1 2014 A high accuracy analysis of the bilinear element for nonlinear dispersion-dissipative wave equations. Zbl 1340.65227Wang, Fenling; Shi, Dongyang 1 2014 Numerical performance of higher-order semicompact scheme for arbitrary triangular cavity flow. Zbl 1334.76094Wang, Xiaofeng; Shi, Dongyang 1 2014 \(EQ^{\text{rot}}_1\) nonconforming finite element approximation to Signorini problem. Zbl 1273.74548Shi, DongYang; Xu, Chao 27 2013 ...and 109 more Documents all cited Publications top 5 cited Publications all top 5 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 ...and 471 more Authors all top 5 Cited in 95 Serials 59 Computers & Mathematics with Applications 52 Applied Mathematics and Computation 27 Applied Numerical Mathematics 24 Journal of Scientific Computing 20 Applied Mathematics Letters 14 Journal of Computational and Applied Mathematics 13 Numerical Methods for Partial Differential Equations 13 Numerical Algorithms 12 International Journal of Computer Mathematics 11 Journal of Mathematical Analysis and Applications 11 Acta Mathematicae Applicatae Sinica. 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Principles and Applications of Systems and Integration 1 Communications on Applied Mathematics and Computation 1 Results in Applied Mathematics all top 5 Cited in 26 Fields 429 Numerical analysis (65-XX) 265 Partial differential equations (35-XX) 91 Fluid mechanics (76-XX) 52 Mechanics of deformable solids (74-XX) 20 Real functions (26-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 16 Optics, electromagnetic theory (78-XX) 9 Biology and other natural sciences (92-XX) 8 Ordinary differential equations (34-XX) 7 Integral equations (45-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Systems theory; control (93-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year