Dongyang Shi, Sihui Zhang (2026). Superconvergence of an energy-dissipative BDF2 scheme for fourth-order singularly perturbed Bi-flux diffusion model with anisotropic nonconforming FEM. Computer Methods in Applied Mechanics and Engineering.DOI
Siqing Yu, Dongyang Shi (2026). Unconditional superconvergent error estimates of a novel energy-dissipative BDF2 type nonconforming FEM for Klein-Gordon equation. Computers and Mathematics with Applications.DOI
Dongyang Shi, Sihui Zhang (2026). Unconditional uniform superconvergent error estimates of anisotropic nonconforming energy-dissipative SAV-CN FEM for fourth-order singular perturbation Bi-flux diffusion model. Computers and Mathematics with Applications.DOI
Siqing Yu, Dongyang Shi (2026). Unconditional superconvergent error estimates of a novel linearized energy-conserving scheme with nonconforming FEM for nonlinear wave equation. Communications in nonlinear science & numerical simulation.DOI
Wei-Jun Zhu, Ying-Xia Chen, Dongyang Shi (2026). Correction: Unconditional Superconvergence Analysis of an Efficient Backward Euler Scheme for Coupled Burgers’ Equations on h2-Parallelogram Meshes. Communication on Applied Mathematics and Computation.DOI
Chao Xu, Dongyang Shi (2026). High accuracy analysis of nonconforming quadrilateral quasi-Wilson element for second-order variational inequality problem with displacement obstacle. Communications in Nonlinear Science and Numerical Simulation.DOI
Xiaochen Chu, Xiangyu Shi, Dongyang Shi (2026). A novel low-order nonconforming mixed finite element method for the stationary incompressible magnetohydrodynamic equations. Journal of Computational and Applied Mathematics.DOI
Tiantian Liang, Dongyang Shi (2025). Unconditional superconvergence analysis of a novel energy dissipation nonconforming Crank-Nicolson FEM for Sobolev equations with high order Burgers' type nonlinearity. Computers and Mathematics with Applications.DOI
Dongyang Shi, Xuemiao Xu (2025). A new energy dissipation-preserving Crank-Nicolson type nonconforming FEM for damped wave equation with cubic nonlinearity. Computers and Mathematics with Applications.DOI
Yan-Mi Wu, Dongyang Shi (2025). Quasi-uniform unconditional superconvergent error estimates of FEMs for the time-dependent singularly perturbed Bi-wave problem modeling d-wave superconductors. Computers and Mathematics with Applications.DOI
Sihui Zhang, Xiangyu Shi, Dongyang Shi (2025). Unconditional uniform superconvergence analysis of anisotropic nonconforming energy-dissipative SAV-FEM for fourth-order singular perturbation Bi-flux diffusion equation. Applied Mathematics Letters.DOI
Xiaochen Chu, Xiangyu Shi, Dongyang Shi (2025). Superconvergence analysis of low-order nonconforming mixed finite element method for the time-dependent incompressible MHD equations. Computational and Applied Mathematics.DOI
Jinyu Li, Chuanjun Chen, Dongyang Shi (2025). Unconditional superconvergent error estimates of second-order linearized nonconforming quadrilateral FEMs for nonlinear nuclear reactor model. Computers and Mathematics with Applications.DOI
Xiaochen Chu, Xiangyu Shi, Dongyang Shi (2025). Unconditional superconvergence analysis of low-order conforming mixed finite element method for time-dependent incompressible MHD equations. Communications in nonlinear science & numerical simulation.DOI
Dongyang Shi, Tiantian Liang (2025). Unconditional superconvergence analysis of a new energy dissipation Crank-Nicolson type nonconforming FEM for nonlinear Kirchhoff-type equation with damping. Communications in nonlinear science & numerical simulation.DOI
Xiaochen Chu, Xiangyu Shi, Dongyang Shi (2025). Superconvergence analysis of the decoupled and linearized mixed finite element methods for unsteady incompressible MHD equations. Computers and Mathematics with Applications.DOI
Ju-Hua Duan, Dongyang Shi (2025). Superconvergence error estimates of an efficient nonconforming two-grid BDF2-FEM for nonlinear bacterial equations. Communications in nonlinear science & numerical simulation.DOI
Cong-Gang Liang, Xiangyu Shi, Dongyang Shi (2025). Superconvergence and extrapolation of a second-order θ fully discrete scheme with nonconforming FEM for degenerate nonlocal thermistor problems. Communications in nonlinear science & numerical simulation.DOI
Xiaochen Chu, Xiangyu Shi, Dongyang Shi (2025). Unconditional superconvergence analysis of a linearized BDF2 fully discrete MFEM for unsteady incompressible MHD equations. Communications in nonlinear science & numerical simulation.DOI
Zhenqi Qi, Dongyang Shi, Xiaozhong Yang (2025). Unconditional superconvergence analysis of a novel structure preserving nonconforming BDF2-FEM for coupled nonlinear Schrödinger system. Communications in Nonlinear Science and Numerical Simulation.DOI
Hexin Wang, Tong Zhang, Dongyang Shi (2025). Superconvergent error estimates of linearized BDF2/Leapfrog schemes with H1-Galerkin MFEM for strongly nonlinear moisture migration equation. Communications in Nonlinear Science and Numerical Simulation.DOI
Dongyang Shi, He Ma (2025). A novel linearized nonconforming BDF2-FDSD method for nonlinear convection-dominated diffusion equation. Computational and Applied Mathematics.DOI
Dongyang Shi, Minghao Li, Qili Tang (2024). Superconvergence analysis of a new stabilized nonconforming finite element method for the Stokes equations. Computers and Mathematics with Applications.DOI
Hua-Zhao Xie, Dongyang Shi, Qian Liu (2024). Nonconforming quadrilateral finite element analysis for the nonlinear Ginzburg-Landau equation. Computers and Mathematics with Applications.DOI
Dongyang Shi, Sihui Zhang (2024). Unconditional superconvergence analysis of an energy-stable L1 scheme for coupled nonlinear time-fractional prey-predator equations with nonconforming finite element. Applied Mathematics and Computation.DOI
L. Pei, Chao-Feng Zhang, Dongyang Shi (2024). Unconditional superconvergence analysis of two-grid nonconforming FEMs for the fourth order nonlinear extend Fisher-Kolmogorov equation. Applied Mathematics and Computation.DOI
Dongyang Shi, Zhen-Qi Qi (2024). Unconditional superconvergence analysis of an energy-preserving finite element scheme for nonlinear BBM equation. Computers and Mathematics with Applications.DOI
Ran Wang, Dongyang Shi (2024). Superconvergence analysis of an H1-Galerkin mixed FEM for Klein-Gordon-Zakharov equations with power law nonlinearity. Communications in nonlinear science & numerical simulation.DOI
Xuemiao Xu, Dongyang Shi (2024). Unconditional superconvergence analysis of a new energy stable nonconforming BDF2 mixed finite element method for BBM-Burgers equation. Communications in nonlinear science & numerical simulation.DOI
Dongyang Shi, Ling Zhang (2024). Unconditional superconvergence analysis of modified finite difference streamlined diffusion method for nonlinear convection-dominated diffusion equation. Computers and Mathematics with Applications.DOI
Yan-Mi Wu, Dongyang Shi (2024). Optimal error estimates of an H1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H^1$$\end{document}-Galerkin mixed fin. Computational and Applied Mathematics.DOI
Dongyang Shi, Cong-Gang Liang (2024). Optimal error estimates of nonconforming Wilson element for nonlinear nonlocal parabolic problems. Computers and Mathematics with Applications.DOI
Xixian Bai, Chun-Yan Niu, Dongyang Shi, Yong-Wei Zhang (2024). A leap-frog nodal discontinuous Galerkin method for Maxwell polynomial chaos Debye model. Computers and Mathematics with Applications.DOI
Xiangyu Shi, Peng Jian, Dongyang Shi (2024). Superconvergence analysis of low order nonconforming finite element method for coupled nonlinear semiconductor device problem. Communications in nonlinear science & numerical simulation.DOI
Dongyang Shi, Zhen-Qi Qi (2024). Unconditional superconvergence analysis of an energy dissipation property preserving nonconforming FEM for nonlinear BBMB equation. Computational and Applied Mathematics.DOI
Cong-Gang Liang, Dongyang Shi, Longfei Guo (2024). Superconvergence analysis of a two-grid BDF2-FEM for nonlinear dispersive wave equation. Applied Numerical Mathematics.DOI
Junjun Wang, Dongyang Shi, Lina Cao, Jiaxuan Pei (2024). Superconvergence of a new energy dissipation finite element scheme for nonlinear Schrödinger equation with wave operator. Computers and Mathematics with Applications.DOI
Xiangyu Shi, Hai-Jie Wang, Dongyang Shi (2024). Novel superconvergence analysis of a low order FEM for nonlinear time-fractional Joule heating problem. Communications in nonlinear science & numerical simulation.DOI
Cong-Gang Liang, Dongyang Shi (2024). Superconvergence analysis and extrapolation of a BDF2 fully discrete scheme for nonlinear reaction-diffusion equations. Communications in nonlinear science & numerical simulation.DOI
Dongyang Shi, Sihui Zhang (2024). Superconvergence analysis of an anisotropic nonconforming FEM for parabolic equation. Journal of Computational and Applied Mathematics.DOI
Xiaochen Chu, Dongyang Shi, Tong Zhang (2024). Fully decoupled, linearized and stabilized finite volume method for the time-dependent incompressible MHD equations. Communications in Nonlinear Science and Numerical Simulation.DOI
Huaijun Yang, Dongyang Shi (2024). Superconvergence error analysis of linearized semi-implicit bilinear-constant SAV finite element method for the time-dependent Navier–Stokes equations. Communications in Nonlinear Science and Numerical Simulation.DOI
Xiaolong Zhao, Dongyang Shi, Shicang Song, Shijun Zou (2024). A high-order limiter-free arbitrary Lagrangian–Eulerian discontinuous Galerkin scheme for compressible multi-material flows. Applied Mathematics Letters.DOI
Qian Liu, Dongyang Shi (2023). Nonconforming mixed finite element method for the diffuse interface model of two-phase fluid flows. Applied Numerical Mathematics.DOI
Dongyang Shi, Zhen-Qi Qi (2023). Unconditional superconvergence analysis of an energy conservation scheme with Galerkin FEM for nonlinear Benjamin-Bona-Mahony equation. Communications in nonlinear science & numerical simulation.DOI
Rongfang Wu, Xiaoqin Shen, Dongyang Shi, Jiaping Yu Jiaping Yu (2023). Nonconforming Finite Element Methods for Two-Dimensional Linearly Elastic Shallow Shell Model. Advances in Applied Mathematics and Mechanics.DOI
Dongyang Shi, He Ma (2023). Unconditional superconvergence analysis of a modified nonconforming energy stable BDF2 FEM for Sobolev equations with Burgers’ type nonlinearity. Communications in Nonlinear Science and Numerical Simulation.DOI
Dongyang Shi, Sihui Zhang (2023). Unconditional superconvergence analysis of an energy-stable C–N fully discrete scheme for the nonlinear magnetic diffusion model with memory. Applied Mathematics Letters.DOI
Sihui Zhang, Xiangyu Shi, Dongyang Shi (2023). Nonconforming modified Quasi-Wilson finite element method for convection–diffusion-reaction equation. Communications in Nonlinear Science and Numerical Simulation.DOI
Dongyang Shi, Houchao Zhang (2023). Convergence Analysis of Nonconforming Quadrilateral Finite Element Methods for Nonlinear Coupled Schrödinger-Helmholtz Equations. Journal of Computational Mathematics.DOI
Dongyang Shi, Jian Peng (2023). Superconvergence analysis of finite element method for nonlinear semiconductor device problem. Computers & Mathematics with Applications.DOI
Dongyang Shi, Houchao Zhang (2023). Superconvergence analysis of a conservative mixed finite element method for the nonlinear Klein–Gordon–Schrödinger equations. Numerical Methods for Partial Differential Equations.DOI
Sihui Zhang, Xiangyu Shi, Dongyang Shi (2023). Unconditional superconvergence analysis of nonconforming EQ1rot finite element method for the nonlinear coupled predator-prey equations. Applied Numerical Mathematics.DOI
Dongyang Shi, Chaoqun Li (2022). A linearized decoupled Crank–Nicolson FEM for Keller–Segel chemotactic model with nonlinear secretion. Communications in Nonlinear Science and Numerical Simulation.DOI
Dongyang Shi, Sihui Zhang (2022). Unconditional superconvergence analysis for the nonlinear Bi-flux diffusion equation. Applied Mathematics and Computation.DOI
Dongyang Shi, Houchao Zhang (2022). Superconvergence Analysis of a BDF-Galerkin FEM for the Nonlinear Klein-Gordon-Schrödinger Equations with Damping Mechanism. Journal of Computational Mathematics.DOI
Dongyang Shi, Houchao Zhang (2022). Unconditional optimal error estimates and superconvergence analysis of energy-preserving FEM for general nonlinear Schrödinger equation with wave operator. Computers & Mathematics with Applications.DOI
Dongyang Shi, Houchao Zhang (2022). Unconditional error estimates of linearized BDF2-Galerkin FEMs for nonlinear coupled Schrödinger-Helmholtz equations. Numerical Algorithms.DOI
Huaijun Yang, Dongyang Shi (2022). Optimal error estimates of Galerkin method for a nonlinear parabolic integro-differential equation. Applied Numerical Mathematics.DOI
Dongyang Shi, Houchao Zhang (2021). A linearized conservative nonconforming FEM for nonlinear Klein-Gordon-Schrödinger equations. Computers & Mathematics with Applications.DOI
Minghao Li Minghao Li, Zhenzhen Li, Dongyang Shi (2021). Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping. Advances in Applied Mathematics and Mechanics.DOI
Huaijun Yang, Dongyang Shi (2021). Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations. Journal of Computational Mathematics.DOI
Dongyang Shi, Ran Wang (2021). High accuracy analysis of Galerkin finite element method for Klein–Gordon–Zakharov equations. Applied Mathematics and Computation.DOI
Dongyang Shi, Sihui Zhang (2021). Unconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator model. Applied Numerical Mathematics.DOI
Dongyang Shi, Chaoqun Li (2021). A new combined scheme of H1-Galerkin FEM and TGM for bacterial equations. Applied Numerical Mathematics.DOI
Dongyang Shi, Xu Jia (2021). Superconvergence analysis of a mixed finite element approximation for the nonlinear fourth-order Rosenau-RLW equation. Computers & Mathematics with Applications.DOI
Dongyang Shi, Xu Jia (2021). Nonconforming Quasi-Wilson finite element approximation for the nonlinear Rosenau equation. Applied Mathematics Letters.DOI
Nan Wang, Dongyang Shi (2021). Two efficient spectral methods for the nonlinear fractional wave equation in unbounded domain. Mathematics and Computers in Simulation.DOI
Yanmi Wu, Dongyang Shi (2021). Quasi-uniform and unconditional superconvergence analysis of Ciarlet–Raviart scheme for the fourth order singularly perturbed Bi-wave problem modeling d -wave superconductors. Applied Mathematics and Computation.DOI
Yongwei Zhang, Chupeng Ma, Liqun Cao, Dongyang Shi (2021). Efficient Multiscale Algorithms for Simulating Nonlocal Optical Response of Metallic Nanostructure Arrays. SIAM Journal on Scientific Computing.DOI
Huaijun Yang, Dongyang Shi, Litao Zhang (2020). Unconditionally optimal error estimates of BDF2 Galerkin method for semilinear parabolic equation. Numerical Methods for Partial Differential Equations.DOI
Dongyang Shi, Lifang Pei (2020). New High Accuracy Analysis of a Double Set Parameter Nonconforming Element for the Clamped Kirchhoff Plate Unilaterally Constrained by an Elastic Obstacle. Mathematics.DOI
Dongyang Shi, Yanmi Wu (2020). Quasi-uniform convergence analysis of rectangular Morley element for the singularly perturbed Bi-wave equation. Applied Numerical Mathematics.DOI
Yanmi Wu, Dongyang Shi (2020). Quasi‐uniform convergence analysis of a modified penalty finite element method for nonlinear singularly perturbed bi‐wave problem. Numerical Methods for Partial Differential Equations.DOI
Zhiyun Yu, Dongyang Shi, Huiqing Zhu (2020). Least-Squares Method of EQ_1^rot Nonconforming Finite Element for Convection-Diffusion Problems. Journal of Advances in Applied Mathematics.DOI
Zhenzhen Li, Minghao Li, Dongyang Shi (2020). Unconditional convergence and superconvergence analysis for the transient Stokes equations with damping. Applied Mathematics and Computation.DOI
Hongbo Guan, Dongyang Shi (2020). Superconvergence analysis of a nonconforming finite element method for monotone semilinear elliptic optimal control problems. Numerical Methods for Partial Differential Equations.DOI
Qian Liu, Dongyang Shi (2020). New error analysis of a second order BDF scheme for unsteady natural convection problem. Applied Numerical Mathematics.DOI
Houchao Zhang, Dongyang Shi, Qingfu Li (2020). Nonconforming finite element method for a generalized nonlinear Schrödinger equation. Applied Mathematics and Computation.DOI
Hongbo Guan, Dongyang Shi (2020). Nonconforming Finite Element Methods for the Constrained Optimal Control Problems Governed by Nonsmooth Elliptic Equations. Acta Mathematicae Applicatae Sinica English Series.DOI
Dongyang Shi, Chaoqun Li (2020). Superconvergence analysis of two-grid methods for bacteria equations. Numerical Algorithms.DOI
Huaijun Yang, Dongyang Shi (2020). Superconvergence analysis of the lowest order rectangular Raviart–Thomas element for semilinear parabolic equation. Applied Mathematics Letters.DOI
Junjun Wang, Dongyang Shi (2020). Superconvergence analysis for nonlinear reaction‐diffusion equation with BDF‐FEM. Mathematical Methods in the Applied Sciences.DOI
Yifan Wei, Dongyang Shi (2020). Superconvergence analysis of a two-grid method for nonlinear hyperbolic equations. Computers & Mathematics with Applications.DOI
Meng Li, Dongyang Shi, Lifang Pei (2020). Convergence and superconvergence analysis of finite element methods for the time fractional diffusion equation. Applied Numerical Mathematics.DOI
Dongyang Shi, Yanmi Wu (2019). Nonconforming quadrilateral finite element method for nonlinear Kirchhoff‐type equation with damping. Mathematical Methods in the Applied Sciences.DOI
Changhui Yao, Dongyang Shi, Mengmeng Hou (2019). Superconvergence Analysis for the Maxwell's Equations in Debye Medium with a Thermal Effect. Advances in Applied Mathematics and Mechanics.DOI
Dongyang Shi, Huaijun Yang (2019). Unconditionally optimal error estimates of a new mixed FEM for nonlinear Schrödinger equations. Advances in Computational Mathematics.DOI
Meng Li, Dongyang Shi, Junjun Wang (2019). Unconditional superconvergence analysis of a linearized Crank–Nicolson Galerkin FEM for generalized Ginzburg–Landau equation. Computers & Mathematics with Applications.DOI
Qian Liu, Dongyang Shi (2019). Superconvergence analysis of a two-grid method for an energy-stable Ciarlet-Raviart type scheme of Cahn-Hilliard equation. Numerical Algorithms.DOI
Dongyang Shi, Yanmi Wu (2019). Uniformly superconvergent analysis of an efficient two-grid method for nonlinear Bi-wave singular perturbation problem. Applied Mathematics and Computation.DOI
Dongyang Shi, Qian Liu (2019). Nonconforming quadrilateral finite element method for Ginzburg–Landau equation. Numerical Methods for Partial Differential Equations.DOI
Dongyang Shi, Ran Wang (2019). Unconditional superconvergence analysis of a two-grid finite element method for nonlinear wave equations. Applied Numerical Mathematics.DOI
Dongyang Shi, Xu Jia (2019). Superconvergence analysis of the mixed finite element method for the Rosenau equation. Journal of Mathematical Analysis and Applications.DOI
Dongyang Shi, Qian Liu (2019). Superconvergence analysis of a two grid finite element method for Ginzburg–Landau equation. Applied Mathematics and Computation.DOI
Jincheng Ren, Dongyang Shi, Seakweng Vong (2019). High accuracy error estimates of a Galerkin finite element method for nonlinear time fractional diffusion equation. Numerical Methods for Partial Differential Equations.DOI
Dongyang Shi, Xu Jia (2019). Superconvergence analysis of two-grid finite element method for nonlinear Benjamin-Bona-Mahony equation. Applied Numerical Mathematics.DOI
Dongyang Shi, Qian Liu (2019). Unconditional superconvergent analysis of a linearized finite element method for Ginzburg-Landau equation. Applied Numerical Mathematics.DOI
Dongyang Shi, Qian Liu (2019). An efficient nonconforming finite element two-grid method for Allen–Cahn equation. Applied Mathematics Letters.DOI
Dongyang Shi, Qian Liu (2019). Superconvergent analysis of a nonconforming mixed finite element method for non-stationary conduction–convection problem. Computers & Mathematics with Applications.DOI
Dongyang Shi, Ran Wang (2019). Superconvergence of a two‐grid method for fourth‐order dispersive‐dissipative wave equations. Mathematical Methods in the Applied Sciences.DOI
Dongyang Shi, Minghao Li, Zhenzhen Li (2019). A nonconforming finite element method for the stationary Smagorinsky model. Applied Mathematics and Computation.DOI
Meng Li, Dongyang Shi, Junjun Wang, Wanyuan Ming (2019). Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation. Applied Numerical Mathematics.DOI
Dongyang Shi, Yanmi Wu (2019). Uniform superconvergent analysis of a new mixed finite element method for nonlinear Bi-wave singular perturbation problem. Applied Mathematics Letters.DOI
Dongyang Shi, Huaijun Yang (2019). Superconvergence analysis of finite element method for Poisson–Nernst–Planck equations. Numerical Methods for Partial Differential Equations.DOI
Houchao Zhang, Dongyang Shi (2019). Superconvergence Analysis for Time-Fractional Diffusion Equations with Nonconforming Mixed Finite Element Method. Journal of Computational Mathematics.DOI
Dongyang Shi, Junjun Wang (2019). Unconditional Superconvergence Analysis of an $H^1$-Galerkin Mixed Finite Element Method for Two-Dimensional Ginzburg-Landau Equation. Journal of Computational Mathematics.DOI
Chao Xu, Dongyang Shi (2018). Superconvergence analysis of low order nonconforming finite element methods for variational inequality problem with displacement obstacle. Applied Mathematics and Computation.DOI
Hongbo Guan, Dongyang Shi (2018). An efficient NFEM for optimal control problems governed by a bilinear state equation. Computers & Mathematics with Applications.DOI
Dongyang Shi, Huaijun Yang (2018). Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem. Applied Mathematics and Computation.DOI
Zhenzhen Li, Dongyang Shi, Minghao Li (2018). Stabilized mixed finite element methods for the Navier‐Stokes equations with damping. Mathematical Methods in the Applied Sciences.DOI
Minghao Li, Dongyang Shi, Zhenzhen Li, Hongru Chen (2018). Two-level mixed finite element methods for the Navier–Stokes equations with damping. Journal of Mathematical Analysis and Applications.DOI
Dongyang Shi, Huaijun Yang (2018). Superconvergence analysis of a new linearized MFEM for nonlinear Schrödinger equation. International Journal of Computer Mathematics.DOI
Dongyang Shi, Yanmi Wu (2018). Uniform superconvergence analysis of Ciarlet‐Raviart scheme for Bi‐wave singular perturbation problem. Mathematical Methods in the Applied Sciences.DOI
Yanhua Shi, Yanmin Zhao, F Wang, Dongyang Shi (2018). A New Error Analysis of Nonconforming $EQ^{rot}_1$ FEM for Nonlinear BBM Equation. Advances in Applied Mathematics and Mechanics.DOI
Minghao Li Minghao Li, Dongyang Shi, Ying Dai (2018). New Residual Based Stabilization Method for the Elasticity Problem. Advances in Applied Mathematics and Mechanics.DOI
Dongyang Shi, Qian Liu (2018). Unconditional superconvergent analysis of a new mixed finite element method for Ginzburg–Landau equation. Numerical Methods for Partial Differential Equations.DOI
Dongyang Shi, Fengna Yan, Junjun Wang (2018). Unconditionally Superclose Analysis of a New Mixed Finite Element Method for Nonlinear Parabolic Equation. Journal of Computational Mathematics.DOI
Dongyang Shi, Junjun Wang (2018). Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear Schrödinger equation. Mathematical Methods in the Applied Sciences.DOI
Dongyang Shi, Huaijun Yang (2018). Superconvergence analysis of a new low order nonconforming MFEM for time-fractional diffusion equation. Applied Numerical Mathematics.DOI
Lifang Pei, Dongyang Shi (2018). A new error analysis of nonconforming Bergan's energy-orthogonal element for the Extended Fisher–Kolmogorov equation. Journal of Mathematical Analysis and Applications.DOI
Dongyang Shi, Pengcong Mu, Huaijun Yang (2018). Superconvergence analysis of a two-grid method for semilinear parabolic equations. Applied Mathematics Letters.DOI
Dongyang Shi, Huaijun Yang (2018). A new approach of superconvergence analysis for two-dimensional time fractional diffusion equation. Computers & Mathematics with Applications.DOI
Dongyang Shi, Xin Liao, Lele Wang (2017). A nonconforming quadrilateral finite element approximation to nonlinear schrödinger equation. Acta Mathematica Scientia.DOI
王志军,郝晓斌,石东洋(2017). 定常Navier-Stokes方程的一个二阶非协调三角型混合元格式(英文). Chinese Quarterly Journal of Mathematics.
Dongyang Shi, Huaijun Yang (2017). Superconvergence analysis of finite element method for time-fractional Thermistor problem. Applied Mathematics and Computation.DOI
Chao Xu, Dongyang Shi, Xin Liao (2017). A new streamline diffusion finite element method for the generalized Oseen problem. Applied Mathematics and Mechanics.DOI
Dongyang Shi, Huaijun Yang (2017). Superconvergent estimates of conforming finite element method for nonlinear time‐dependent Joule heating equations. Numerical Methods for Partial Differential Equations.DOI
Dongyang Shi, Junjun Wang, Fengna Yan (2017). Unconditional superconvergence analysis of an H1‐galerkin mixed finite element method for nonlinear Sobolev equations. Numerical Methods for Partial Differential Equations.DOI
Hongbo Guan, Dongyang Shi (2017). A Nonconforming Finite Element Method for Constrained Optimal Control Problems Governed by Parabolic Equations. Taiwanese Journal of Mathematics.DOI
Dongyang Shi, Fenling Wang, Yanmin Zhao (2017). High accuracy analysis of the lowest order H1-Galerkin mixed finite element method for nonlinear sine-Gordon equations. Acta Mathematicae Applicatae Sinica English Series.DOI
Minghao Li Minghao Li, Dongyang Shi, Zhenzhen Li (2017). The stabilized mixed finite element scheme of elasticity problem. Computational and Applied Mathematics.DOI
Dongyang Shi, Junjun Wang (2017). Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations. Computers & Mathematics with Applications.DOI
Dongyang Shi, Huaijun Yang (2017). Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation. Applied Mathematics and Computation.DOI
Dongyang Shi, Junjun Wang (2017). Unconditional Superconvergence Analysis of a Crank–Nicolson Galerkin FEM for Nonlinear Schrödinger Equation. Journal of Scientific Computing.DOI
Dongyang Shi, Junjun Wang (2017). Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element. Applied Mathematics and Computation.DOI
Lifang Pei, Dongyang Shi (2017). A new error analysis of Bergan’s energy-orthogonal element for a plate contact problem. Applied Mathematics Letters.DOI
Dongyang Shi, Lele Wang, Xin Liao (2017). New estimates of mixed finite element method for fourth‐order wave equation. Mathematical Methods in the Applied Sciences.DOI
Changhui Yao, Dongyang Shi (2016). Nonconforming Mixed Finite Element Method for Time-Dependent Maxwell's Equations with ABC. Numerical Mathematics Theory Methods and Applications.DOI
Dongyang Shi, Junjun Wang (2016). Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation. Applied Mathematics and Computation.DOI
Dongyang Shi, Junjun Wang (2016). Superconvergence analysis of an H1 -Galerkin mixed finite element method for Sobolev equations. Computers & Mathematics with Applications.DOI
Chao Xu, Dongyang Shi, Xin Liao (2016). Low order nonconforming mixed finite element method for nonstationary incompressible Navier-Stokes equations. Applied Mathematics and Mechanics.DOI
Dongyang Shi, Junjun Wang, Fengna Yan (2016). Unconditional Superconvergence Analysis for Nonlinear Parabolic Equation with $${\textit{EQ}}_1^{rot}$$ EQ 1 r o t Nonconforming Finite Element. Journal of Scientific Computing.DOI
Dongyang Shi, Xin Liao, Lele Wang (2016). Superconvergence analysis of conforming finite element method for nonlinear Schrödinger equation. Applied Mathematics and Computation.DOI
Dongyang Shi, Junjun Wang, Fengna Yan (2016). Superconvergence analysis for nonlinear parabolic equation with $$EQ_1^\mathrm{{rot}}$$ E Q 1 rot nonconforming finite element. Computational and Applied Mathematics.DOI
Dongyang Shi, Lifang Pei, Hongyi Zhu (2016). A new error analysis of Bergan's energy-orthogonal element for two-sided displacement obstacle problem of clamped plate. Journal of Mathematical Analysis and Applications.DOI
Yanmin Zhao, Yufeng Zhang, Dongyang Shi, Fawang Liu, Ian Turner (2016). Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Applied Mathematics Letters.DOI
Dongyang Shi, Huaijun Yang (2016). A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes. Applied Mathematics Letters.DOI
Dongyang Shi, Lifang Pei (2015). Double set parameter finite element method for two-sided displacement obstacle problem of clamped plate. Journal of Mathematical Analysis and Applications.DOI
Dongyang Shi, Lele Wang, Xin Liao (2015). A new nonconforming mixed finite element scheme for second order eigenvalue problem. Applied Mathematics and Computation.DOI
Minghao Li, Dongyang Shi, Ying Dai (2015). Stabilized low order finite elements for Stokes equations with damping. Journal of Mathematical Analysis and Applications.DOI
Hongbo Guan, Dongyang Shi, Xiaofei Guan (2015). High accuracy analysis of nonconforming MFEM for constrained optimal control problems governed by Stokes equations. Applied Mathematics Letters.DOI
Dongyang Shi, Lifang Pei (2015). Nonconforming double set parameter finite element methods for a fourth order variational inequality with two-sided displacement obstacle. Journal of Inequalities and Applications.DOI
Hongbo Guan, Dongyang Shi (2015). P 1-nonconforming triangular finite element method for elliptic and parabolic interface problems. Applied Mathematics and Mechanics.DOI
Dongyang Shi, Lele Wang, Xin Liao (2015). Nonconforming finite element analysis for Poisson eigenvalue problem. Computers & Mathematics with Applications.DOI
Dongyang Shi, Hongxin Cui, Hongbo Guan (2015). Streamline-diffusion method of a lowest order nonconforming rectangular finite element for convection-diffusion problem. Acta Mathematicae Applicatae Sinica English Series.DOI
Hongbo Guan, Dongyang Shi (2015). A stable nonconforming mixed finite element scheme for elliptic optimal control problems. Computers & Mathematics with Applications.DOI
Minghao Li, Dongyang Shi, Ying Dai (2015). The Brezzi–Pitkäranta stabilization scheme for the elasticity problem. Journal of Computational and Applied Mathematics.DOI
Dongyang Shi, Minghao Li, Chao Xu (2015). A New Stabilization Method for the Elasticity Problem. Journal of Scientific Computing.DOI
Dongyang Shi, Qili Tang, Xin Liao (2015). Asymptotic Expansions and Extrapolations of $H^1$-Galerkin Mixed Finite Element Method for Strongly Damped Wave Equation. Advances in Applied Mathematics and Mechanics.DOI
Dongyang Shi, Caixia Wang, Qili Tang (2014). Anisotropic Crouzeix-Raviart Type Nonconforming Finite Element Methods to Variational Inequality Problem with Displacement Obstacle. Journal of Computational Mathematics.DOI
Hongbo Guan, Dongyang Shi (2014). A high accuracy NFEM for constrained optimal control problems governed by elliptic equations. Applied Mathematics and Computation.DOI
Dongyang Shi, Xin Liao, Lele Wang (2014). The lowest order characteristic mixed finite element scheme for convection-dominated diffusion problem. Computers & Mathematics with Applications.DOI
Dongyang Shi, Pingli Wang, Yanmin Zhao (2014). Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation. Applied Mathematics Letters.DOI
Dongyang Shi, Yanmin Zhao, Fenling Wang (2014). Quasi-Wilson nonconforming element approximation for nonlinear dual phase lagging heat conduction equations. Applied Mathematics and Computation.DOI
Dongyang Shi, Xin Liao, Qili Tang (2014). Highly efficient H 1-Galerkin mixed finite element method (MFEM) for parabolic integro-differential equation. Applied Mathematics and Mechanics.DOI
Dongyang Shi, Qili Tang, Wei Gong (2014). A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term. Mathematics and Computers in Simulation.DOI
Dongyang Shi, Changhui Yao (2014). Nonconforming finite element approximation of time‐dependent Maxwell's equations in Debye medium. Numerical Methods for Partial Differential Equations.DOI
Dongyang Shi, Huimin Wang (2014). The Crouzeix-Raviart type nonconforming finite element method for the nonstationary Navier-Stokes equations on anisotropic meshes. Acta Mathematicae Applicatae Sinica English Series.DOI
Xiaofeng Wang, Dongyang Shi (2014). Numerical Performance of Higher-Order Semicompact Scheme for Arbitrary Triangular Cavity Flow. International Journal of Engineering Mathematics.DOI
Pingli Wang, Dongyang Shi (2013). Nonconforming Finite Element Analysis of a Class of Nonlinear Schrodinger Equations. Mathematica Applicata.
Yadong Zhang, Dongyang Shi (2013). Superconvergence of an H1 -Galerkin nonconforming mixed finite element method for a parabolic equation. Computers & Mathematics with Applications.DOI
Dongyang Shi, Qili Tang (2013). Superconvergence analysis of splitting positive definite nonconforming mixed finite element method for pseudo-hyperbolic equations. Acta Mathematicae Applicatae Sinica English Series.DOI
Xiuhua Wang, Jisheng Kou, Dongyang Shi (2013). Convergence of an iterative method for solving a class of nonlinear equations. Computers & Mathematics with Applications.DOI
Dongyang Shi, Lifang Pei (2013). Superconvergence of nonconforming finite element penalty scheme for Stokes problem using L 2 projection method. Applied Mathematics and Mechanics.DOI
Dongyang Shi, Dongyang Shi, Jiaquan Zhou, Dongwei Shi, Dongwei Shi (2013). A new low order least squares nonconforming characteristics mixed finite element method For Burgers’ equation. Applied Mathematics and Computation.DOI
Dongyang Shi, Hongbo Guan, Wei Gong (2013). High accuracy analysis of the characteristic‐nonconforming FEM for a convection‐dominated transport problem. Mathematical Methods in the Applied Sciences.DOI
Dongyang Shi, Qili Tang (2013). NonconformingH1-Galerkin Mixed Finite Element Method for Strongly Damped Wave Equations. Numerical Functional Analysis and Optimization.DOI
Dongyang Shi, Lifang Pei (2013). Nonconforming quadrilateral finite element method for a class of nonlinear sine–Gordon equations. Applied Mathematics and Computation.DOI
Xiuhua Wang, Dongyang Shi, Jisheng Kou (2013). Convergence analysis for a family of improved super-Halley methods under general convergence condition. Numerical Algorithms.DOI
Dongyang Shi, Fenling Wang, Yanmin Zhao (2013). Superconvergence analysis and extrapolation of quasi-Wilson nonconforming finite element method for nonlinear Sobolev equations. Acta Mathematicae Applicatae Sinica English Series.DOI
Dongyang Shi, Chuanju Xu (2013). EQ 1 rot nonconforming finite element approximation to Signorini problem. Science China Mathematics.DOI
Dongyang Shi, Zhiyun Yu (2013). Superclose and superconvergence of finite element discretizations for the Stokes equations with damping. Applied Mathematics and Computation.DOI
WU Jing-zhu, Xiuzhi Xing, Dongyang Shi (2013). Composite penalty method of a low order anisotropic nonconforming finite element for the Stokes problem. Applied mathematics/Applied Mathematics. A Journal of Chinese Universities/Gao-xiao yingyong shuxue xuebao.DOI
Dongyang Shi, Chao Xu, Jinhuan Chen (2013). Anisotropic Nonconforming $${ EQ}_1^{rot}$$ Quadrilateral Finite Element Approximation to Second Order Elliptic Problems. Journal of Scientific Computing.DOI
Lifang Pei, Dongyang Shi (2013). Superconvergence of a New Nonconforming Mixed Finite Element Scheme for Elliptic Problem. Mathematical Problems in Engineering.DOI
Yanmin Zhao, Fenling Wang, Dongyang Shi (2013). EQ 1 rot nonconforming finite element method for nonlinear dual phase lagging heat conduction equations. Acta Mathematicae Applicatae Sinica English Series.DOI
Dongyang Shi, Qili Tang, Yadong Zhang (2013). A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem. Journal of Applied Mathematics.DOI
Dongyang Shi (2013). Superconvergence and Extrapolation of Bilinear Finite Element Method for Nonsymmetric and Indefinite Problem. Mathematica Applicata.
Dongyang Shi (2013). The quasi-Wilson nonconforming finite element approximation to pseudo-hyperbolic equations. Journal of Shandong University.
Dongyang Shi, Jincheng Ren, Wei Gong (2012). Convergence and superconvergence analysis of a nonconforming finite element method for solving the Signorini problem. Nonlinear Analysis.DOI
Dongyang Shi, Chao Xu (2012). Anisotropic nonconforming Crouzeix-Raviart type FEM for second-order elliptic problems. Applied Mathematics and Mechanics.DOI
Dongyang Shi, Zhiyun Yu (2012). Low‐Order Nonconforming Mixed Finite Element Methods for Stationary Incompressible Magnetohydrodynamics Equations. Journal of Applied Mathematics.DOI
Dongyang Shi, Hongbo Guan, Xiaofei Guan (2012). Superconvergence Analysis of Finite Element Method for a Second‐Type Variational Inequality. Journal of Applied Mathematics.DOI
Dongyang Shi (2012). A new low order nonconforming mixed finite element formulation for integro-differential equations of parabolic type. Journal of Anhui University.
Dongyang Shi (2012). Nonconforming Finite Element Analysis for Quasilinear Viscoelasticity Equations. Journal of Henan Normal University.
Dongyang Shi (2012). A Nonconforming Finite Element for Nonlinear Fourth Order Hyperbolic Equation. Journal of Henan Normal University.
Dongyang Shi (2012). Global Superconvergence and Extrapolation of Quasi-Wilson Element Solution to Viscoelasticity Type Equations. Mathematica Applicata.
Dongyang Shi (2012). Superconvergence analysis and extrapolations for the generalized nerve conductive equations. Journal of Northwest Normal University.
Dongyang Shi (2012). Hermite-type Finite Element Analysis forNonlinear Dispersion-dissipative Wave Equations. Mathematica Applicata.
Dongyang Shi, Hao Xiao-bin (2011). A second order nonconforming rectangular finite element method for approximating Maxwell’s equations. Acta Mathematicae Applicatae Sinica English Series.DOI
Dongyang Shi, Wang Lin (2011). An anisotropic nonconforming finite element scheme with moving grids for parabolic integro-differential equations. Journal of Systems Science and Complexity.DOI
Dongyang Shi, Yadong Zhang (2011). High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations. Applied Mathematics and Computation.DOI
Dongyang Shi, Buying Zhang (2011). High accuracy analysis of the finite element method for nonlinear viscoelastic wave equations with nonlinear boundary conditions. Journal of Systems Science and Complexity.DOI
Xiaobin Hao, Dongwei Shi, Dongyang Shi (2011). Special convergence analysis of Quasi-Wilson element.DOI
Dongyang Shi, Caixia Wang (2011). A new low-order non-conforming mixed finite-element scheme for second-order elliptic problems. International Journal of Computer Mathematics.DOI
Dongyang Shi, Wei Gong, Jincheng Ren (2011). A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier–Stokes equations. Mathematical and Computer Modelling.DOI
Dongyang Shi, Pingli Xie (2011). A Robust Double Set Parameter Nonconforming Rectangular Element for Fourth Order Elliptic Singular Perturbation Problems. Procedia Environmental Sciences.DOI
Dongyang Shi (2011). Superconvergence Analysis of Berandi-Raugel Mixed Element Solution to Stokes Type Integro-differential Equations. Journal of Henan Normal University.
Dongyang Shi (2010). Nonconforming Ttiangular P_1~(mod) Finite Element Method for Approximating Maxwell′s Equations. Journal of Henan Normal University.
Pingli Xie, Dongyang Shi, Hua Li (2010). A new robust C0-type nonconforming triangular element for singular perturbation problems. Applied Mathematics and Computation.DOI
Hui Liang, Dongyang Shi, Wanjin Lv (2010). Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument. Applied Mathematics and Computation.DOI
Dongyang Shi, Xiaoling Wang (2010). Two low order characteristic finite element methods for a convection-dominated transport problem. Computers & Mathematics with Applications.DOI
Dongyang Shi, Buying Zhang (2010). Nonconforming finite element method for nonlinear parabolic equations. Journal of Systems Science and Complexity.DOI
Dongyang Shi (2010). Super-convergence analysis of quasi-Carey element solution to hyperbolic integro-differential equations. Journal of Lanzhou University of Technology.
Dongyang Shi (2010). Convergence Analysis of a Nonconforming Finite Element for the Parabolic Integrodifferential Equation. Journal of Henan Normal University.
Dongyang Shi (2010). The V-cycle Multigrid Method for a Hermite-type Rectangular Element. Shuxue jikan.
Dongyang Shi, Pingli Xie (2009). Morley type non‐C0 nonconforming rectangular plate finite elements on anisotropic meshes. Numerical Methods for Partial Differential Equations.DOI
Dongyang Shi, Jincheng Ren (2009). Nonconforming Mixed Finite Element Method for the Stationary Conduction-Convection Problem. International Journal of Numerical Analysis and Modeling.DOI
Dongyang Shi, Wei Gong (2009). A low order nonconforming anisotropic finite element approximation to parabolic problem. Journal of Systems Science and Complexity.DOI
Dongyang Shi, Xiaoling Wang (2009). A low order anisotropic nonconforming characteristic finite element method for a convection-dominated transport problem. Applied Mathematics and Computation.DOI
Dongyang Shi, Huimin Wang, LI Zhi-yan (2009). A lumped mass nonconforming finite element method for nonlinear parabolic integro-differential equations on anisotropic meshes. Applied mathematics/Applied Mathematics. A Journal of Chinese Universities/Gao-xiao yingyong shuxue xuebao.DOI
Dongyang Shi, Hui Liang (2009). Convergence and superconvergence analysis of a new quadratic Hermite-type triangular element on anisotropic meshes. Applied Mathematics and Computation.DOI
Dongyang Shi, Jincheng Ren (2009). Nonconforming mixed finite element approximation to the stationary Navier–Stokes equations on anisotropic meshes. Nonlinear Analysis.DOI
Dongyang Shi, Yucheng Peng, Shaochun Chen (2009). Error estimates for rotated Q1rot element approximation of the eigenvalue problem on anisotropic meshes. Applied Mathematics Letters.DOI
Dongyang Shi, Lifang Pei (2009). Low order Crouzeix–Raviart type nonconforming finite element methods for the 3D time-dependent Maxwell’s equations. Applied Mathematics and Computation.DOI
Dongyang Shi (2009). Superconvergence Analysis and Extrapolation of ACM Finite Element Methods for Viscoelasticity Equation. Mathematica Applicata.
Dongyang Shi (2009). CONVERGENCE ANALYSIS OF THE NONCONFORMING TRIANGULAR CAREY ELEMENT FOR A KIND OF NONLINEAR PARABOLIC INTEGRO-DIFFERENTIAL PROBLEMS. Xitong kexue yu shuxue.
Dongyang Shi (2009). Superconvergence Analysis in Nonconforming Finite Element Method for Parabolic Problem. Journal of Wuhan University of Technology-Mater Sci Ed.
Dongyang Shi (2009). A New Superconvergence Analysis and Extrapolation of Hermite-type Finite Element Method for Viscoelasticity Equation. Journal of Henan Normal University.
Dongyang Shi (2009). An Anisotropic Quadrilateral Finite Element Approximation to Bingham Fluid Problem. Journal of Xinyang Normal University.
Dongyang Shi, 王海红, 杜月鹏 (2009). An Anisotropic Nonconforming Finite Element Method for Approximating a Class of Nonlinear Sobolev Equations. Journal of Computational Mathematics.DOI
Dongyang Shi, Jincheng Ren (2009). A least squares Galerkin–Petrov nonconforming mixed finite element method for the stationary Conduction–Convection problem. Nonlinear Analysis.DOI
Dongyang Shi, Zhiyan Li (2008). Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition. Applied mathematics/Applied Mathematics. A Journal of Chinese Universities/Gao-xiao yingyong shuxue xuebao.DOI
Dongyang Shi, Jincheng Ren, Xiaobin Hao (2008). A new second order nonconforming mixed finite element scheme for the stationary Stokes and Navier–Stokes equations. Applied Mathematics and Computation.DOI
Dongyang Shi, Haihong Wang (2008). Nonconforming H 1-Galerkin mixed FEM for Sobolev equations on anisotropic meshes. Acta Mathematicae Applicatae Sinica English Series.DOI
Dongyang Shi, Haihong Wang, Cheng Chao Guo (2008). Anisotropic rectangular nonconforming finite element analysis for Sobolev equations. Applied Mathematics and Mechanics.DOI
Dongyang Shi, Xiaobin Hao (2008). ACCURACY ANALYSIS FOR QUASI-CAREY ELEMENT*. Journal of Systems Science and Complexity.DOI
Dongyang Shi, Lifang Pei (2008). Low Order Crouzeix-Raviart Type Nonconforming Finite Element Methods for Approximating Maxwell's Equations. International Journal of Numerical Analysis and Modeling.DOI
Dongyang Shi, Caixia Wang (2008). A locking-free anisotropic nonconforming rectangular finite element approximation for the planar elasticity problem. Applied mathematics/Applied Mathematics. A Journal of Chinese Universities/Gao-xiao yingyong shuxue xuebao.DOI
Dongyang Shi (2008). A new nonconforming quadrilateral element schemes with moving grid for solving Stokes equations. Journal of Zhoukou Normal University.
Dongyang Shi (2008). A Nonconforming Finite Element Method For Generalized IMBq Equation. Journal of Henan Normal University.
Dongyang Shi (2008). An Anisotropic finite Element Method for Generalized IMBq Equation. Journal of Xinyang Normal University.
Dongyang Shi, Hui Liang, Caixia Wang (2007). Superconvergence Analysis of a Nonconforming Triangular Element on Anisotropic Meshes. Journal of Systems Science and Complexity.DOI
Guoqing Zhu, Dongyang Shi, Shaochun Chen (2007). Superconvergence analysis of lower order anisotropic finite element. Applied Mathematics and Mechanics.DOI
Shipeng Mao, Shaochun Chen, Dongyang Shi (2007). Convergence and Superconvergence of a Nonconforming Finite Element on Anisotropic Meshes. International Journal of Numerical Analysis and Modeling.DOI
Dongyang Shi, Hui Liang (2007). Superconvergence analysis of Wilson element on anisotropic meshes. Applied Mathematics and Mechanics.DOI
Dongyang Shi, Shipeng Mao, Shaochun Chen (2007). A locking-free anisotropic nonconforming finite element for planar linear elasticity problem. Acta Mathematica Scientia.DOI
Dongyang Shi (2007). An Application of a Mixed Finite Element Method. Journal of Xinyang Normal University.
Dongyang Shi (2007). Superconvergence Analysis for Viscoelastic Equation with Hermite-type Finite Element.
Dongyang Shi (2007). Approximation of Anisotropic Q_1 Element for Viscoelasticity Type Equations with Varying Coefficients. Journal of Xinxiang Teachers College.
Dongyang Shi, Zhong‐Ci Shi, Jingzhu Wu (2007). A Note on the Quadrilateral Mesh Condition $RDP(N,\psi)$. Journal of Computational Mathematics.DOI
Dongyang Shi, Shipeng Mao, Hui Liang (2006). Anisotropic Biquadratic Element with Superclose Result. Journal of Systems Science and Complexity.DOI
Dongyang Shi, Yiran Zhang (2006). A Nonconforming Anisotropic Finite Element Approximation with Moving Grids for Stokes Problem. Journal of Computational Mathematics.DOI
Dongyang Shi, Shaochun Chen, Ichiro Hagiwara (2005). Convergence Analysis for a Nonconforming Membrane Element on Anisotropic Meshes. Journal of Computational Mathematics.DOI
Dongyang Shi, Shi-Peng Mao, Shaochun Chen (2005). An Anisotropic Nonconforming Finite Element with Some Superconvergence Results. Journal of Computational Mathematics.DOI
Shaochun Chen, Yong-Cheng Zhao, Dongyang Shi (2005). Non $C^0$ Nonconforming Elements for Elliptic Fourth Order Singular Perturbation Problem. Journal of Computational Mathematics.DOI
Dongyang Shi, Shipeng Mao, Shao-Chun Chen (2005). On the Anisotropic Accuracy Analysis of ACM's Nonconforming Finite Element. Journal of Computational Mathematics.DOI
Dongyang Shi (2005). An Anisotropic Quadrilateral Element Approximation of a Variational Inequality with Displacement Obstacle. Gongcheng shuxue xuebao.
Shaochun Chen, Yongcheng Zhao, Dongyang Shi (2003). Anisotropic interpolations with application to nonconforming elements. Applied Numerical Mathematics.DOI
Shaochun Chen, Dongyang Shi, I chiro Hagiwara (2003). Trapezoidal Plate Bending Element with Double Set Parameters. Journal of Computational Mathematics.DOI
Dongyang Shi, Shaochun Chen (2003). QUASI-CONFORMING FINITE ELEMENT APPROXIMATION FOR A FOURTH ORDER VARIATIONAL INEQUALITY WITH DISPLACEMENT OBSTACLE. Acta Mathematica Scientia.DOI
Dongyang Shi, Chaoqun Li (2024). Superconvergence Analysis of a Second Order Unconditional Energy Conservative Finite Element Scheme for Maxwell's Equations in Nonlinear Kerr Media. SSRN Electronic Journal.DOI
Chaoqun Li, Dongyang Shi (2023). A Low Order Positivity-Preserving Nonconforming Finite Element Scheme for Nuclear Reactor Model. SSRN Electronic Journal.DOI