Dongyang Shi

136 papers Journal 136
YearRankTypeTitle / Venue / Authors
2026 J jnl
A novel low-order nonconforming mixed finite element method for the stationary incompressible magnetohydrodynamic equations.
J. Comput. Appl. Math.
Xiaochen Chu, Xiangyu Shi, Dongyang Shi
2026 J jnl
Superconvergence analysis of a low-order nonconforming mixed finite element method for unsteady natural convection equations.
J. Appl. Math. Comput.
Xiaochen Chu, Xiangyu Shi, Dongyang Shi
2026 J jnl
Superconvergence analysis of low-order nonconforming mixed finite element method for the time-dependent incompressible MHD equations.
Comput. Appl. Math.
Xiaochen Chu, Xiangyu Shi, Dongyang Shi
2026 J jnl
Superconvergence error estimates of an efficient nonconforming two-grid BDF2-FEM for nonlinear bacterial equations.
Commun. Nonlinear Sci. Numer. Simul.
Juhua Duan, Dongyang Shi
2026 J jnl
Superconvergent error estimates of linearized BDF2/Leapfrog schemes with H1-Galerkin MFEM for strongly nonlinear moisture migration equation.
Commun. Nonlinear Sci. Numer. Simul.
Hexin Wang, Tong Zhang, Dongyang Shi
2026 J jnl
Unconditional superconvergence analysis of a linearized BDF2 fully discrete MFEM for unsteady incompressible MHD equations.
Commun. Nonlinear Sci. Numer. Simul.
Xiaochen Chu, Xiangyu Shi, Dongyang Shi
2026 J jnl
Unconditional superconvergence analysis of a new energy dissipation Crank-Nicolson type nonconforming FEM for nonlinear Kirchhoff-type equation with damping.
Commun. Nonlinear Sci. Numer. Simul.
Dongyang Shi, Tiantian Liang
2026 J jnl
Unconditional superconvergence analysis of a novel structure preserving nonconforming BDF2-FEM for coupled nonlinear Schrödinger system.
Commun. Nonlinear Sci. Numer. Simul.
Zhenqi Qi, Dongyang Shi, Xiaozhong Yang
2026 J jnl
Unconditional superconvergence error estimates of a unified energy-stable BDF2-FEM for strongly nonlinear Sobolev equation.
J. Appl. Math. Comput.
He Ma, Dongyang Shi
2026 J jnl
Unconditional superconvergent error estimates of a novel energy-dissipative BDF2 type nonconforming FEM for Klein-Gordon equation.
Comput. Math. Appl.
Siqing Yu, Dongyang Shi
2026 J jnl
Unconditional superconvergent error estimates of a novel linearized energy-conserving scheme with nonconforming FEM for nonlinear wave equation.
Commun. Nonlinear Sci. Numer. Simul.
Siqing Yu, Dongyang Shi
2026 J jnl
Unconditional uniform superconvergent error estimates of anisotropic nonconforming energy-dissipative SAV-CN FEM for fourth-order singular perturbation Bi-flux diffusion model.
Comput. Math. Appl.
Dongyang Shi, Sihui Zhang
2025 J jnl
A new energy dissipation-preserving Crank-Nicolson type nonconforming FEM for damped wave equation with cubic nonlinearity.
Comput. Math. Appl.
Dongyang Shi, Xuemiao Xu
2025 J jnl
A novel linearized nonconforming BDF2-FDSD method for nonlinear convection-dominated diffusion equation.
Comput. Appl. Math.
Dongyang Shi, He Ma
2025 J jnl
Convergence and superconvergence analysis for a mass conservative, energy stable and linearized BDF2 scheme of the Poisson-Nernst-Planck equations.
Commun. Nonlinear Sci. Numer. Simul.
Minghao Li, Dongyang Shi, Zhenzhen Li
2025 J jnl
Quasi-uniform unconditional superconvergent error estimates of FEMs for the time-dependent singularly perturbed Bi-wave problem modeling d-wave superconductors.
Comput. Math. Appl.
Yanmi Wu, Dongyang Shi
2025 J jnl
Superconvergence analysis and extrapolation of a BDF2 fully discrete scheme for nonlinear reaction-diffusion equations.
Commun. Nonlinear Sci. Numer. Simul.
Conggang Liang, Dongyang Shi
2025 J jnl
Superconvergence analysis of low order nonconforming finite element method for coupled nonlinear semiconductor device problem.
Commun. Nonlinear Sci. Numer. Simul.
Xiangyu Shi, Peng Jian, Dongyang Shi
2025 J jnl
Superconvergence analysis of the decoupled and linearized mixed finite element methods for unsteady incompressible MHD equations.
Comput. Math. Appl.
Xiaochen Chu, Xiangyu Shi, Dongyang Shi
2025 J jnl
Superconvergence and extrapolation of a second-order θ fully discrete scheme with nonconforming FEM for degenerate nonlocal thermistor problems.
Commun. Nonlinear Sci. Numer. Simul.
Conggang Liang, Xiangyu Shi, Dongyang Shi
2025 J jnl
Unconditional superconvergence analysis of a new energy stable nonconforming BDF2 mixed finite element method for BBM-Burgers equation.
Commun. Nonlinear Sci. Numer. Simul.
Xuemiao Xu, Dongyang Shi
2025 J jnl
Unconditional superconvergence analysis of a novel energy dissipation nonconforming Crank-Nicolson FEM for Sobolev equations with high order Burgers' type nonlinearity.
Comput. Math. Appl.
Tiantian Liang, Dongyang Shi
2025 J jnl
Unconditional superconvergence analysis of low-order conforming mixed finite element method for time-dependent incompressible MHD equations.
Commun. Nonlinear Sci. Numer. Simul.
Xiaochen Chu, Xiangyu Shi, Dongyang Shi
2025 J jnl
Unconditional superconvergent error estimates of second-order linearized nonconforming quadrilateral FEMs for nonlinear nuclear reactor model.
Comput. Math. Appl.
Jinyu Li, Chuanjun Chen, Dongyang Shi
2025 J jnl
Unconditional uniform superconvergence analysis of anisotropic nonconforming energy-dissipative SAV-FEM for fourth-order singular perturbation Bi-flux diffusion equation.
Appl. Math. Lett.
Sihui Zhang, Xiangyu Shi, Dongyang Shi
2024 J jnl
A high-order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for compressible flows in two-dimensional Cartesian and cylindrical coordinates.
Comput. Math. Appl.
Xiaolong Zhao, Shijun Zou, Xijun Yu, Dongyang Shi, Shicang Song
2024 J jnl
A high-order limiter-free arbitrary Lagrangian-Eulerian discontinuous Galerkin scheme for compressible multi-material flows.
Appl. Math. Lett.
Xiaolong Zhao, Dongyang Shi, Shicang Song, Shijun Zou
2024 J jnl
A leap-frog nodal discontinuous Galerkin method for Maxwell polynomial chaos Debye model.
Comput. Math. Appl.
Xixian Bai, Chunyan Niu, Dongyang Shi, Yongwei Zhang
2024 J jnl
Fully decoupled, linearized and stabilized finite volume method for the time-dependent incompressible MHD equations.
Commun. Nonlinear Sci. Numer. Simul.
Xiaochen Chu, Dongyang Shi, Tong Zhang
2024 J jnl
Low order nonconforming finite element methods for nuclear reactor model.
Commun. Nonlinear Sci. Numer. Simul.
Chaoqun Li, Dongyang Shi
2024 J jnl
Nonconforming quadrilateral finite element analysis for the nonlinear Ginzburg-Landau equation.
Comput. Math. Appl.
Huazhao Xie, Dongyang Shi, Qian Liu
2024 J jnl
Novel superconvergence analysis of a low order FEM for nonlinear time-fractional Joule heating problem.
Commun. Nonlinear Sci. Numer. Simul.
Xiangyu Shi, Haijie Wang, Dongyang Shi
2024 J jnl
Optimal error estimates of an H
Comput. Appl. Math.
Yanmi Wu, Dongyang Shi
2024 J jnl
Optimal error estimates of nonconforming Wilson element for nonlinear nonlocal parabolic problems.
Comput. Math. Appl.
Dongyang Shi, Conggang Liang
2024 J jnl
Superconvergence analysis of a new stabilized nonconforming finite element method for the Stokes equations.
Comput. Math. Appl.
Dongyang Shi, Minghao Li, Qili Tang
2024 J jnl
Superconvergence analysis of an H1-Galerkin mixed FEM for Klein-Gordon-Zakharov equations with power law nonlinearity.
Commun. Nonlinear Sci. Numer. Simul.
Ran Wang, Dongyang Shi
2024 J jnl
Superconvergence analysis of an anisotropic nonconforming FEM for parabolic equation.
J. Comput. Appl. Math.
Dongyang Shi, Sihui Zhang
2024 J jnl
Superconvergence error analysis of linearized semi-implicit bilinear-constant SAV finite element method for the time-dependent Navier-Stokes equations.
Commun. Nonlinear Sci. Numer. Simul.
Huaijun Yang, Dongyang Shi
2024 J jnl
Superconvergence of a new energy dissipation finite element scheme for nonlinear Schrödinger equation with wave operator.
Comput. Math. Appl.
Junjun Wang, Dongyang Shi, Lina Cao, Jiaxuan Pei
2024 J jnl
Unconditional superconvergence analysis of an energy dissipation property preserving nonconforming FEM for nonlinear BBMB equation.
Comput. Appl. Math.
Dongyang Shi, Zhenqi Qi
2024 J jnl
Unconditional superconvergence analysis of an energy-preserving finite element scheme for nonlinear BBM equation.
Comput. Math. Appl.
Dongyang Shi, Zhenqi Qi
2024 J jnl
Unconditional superconvergence analysis of an energy-stable
Appl. Math. Comput.
Dongyang Shi, Sihui Zhang
2024 J jnl
Unconditional superconvergence analysis of modified finite difference streamlined diffusion method for nonlinear convection-dominated diffusion equation.
Comput. Math. Appl.
Dongyang Shi, Lingen Zhang
2024 J jnl
Unconditional superconvergence analysis of two-grid nonconforming FEMs for the fourth order nonlinear extend Fisher-Kolmogorov equation.
Appl. Math. Comput.
Lifang Pei, Chaofeng Zhang, Dongyang Shi
2023 J jnl
A linearized decoupled Crank-Nicolson FEM for Keller-Segel chemotactic model with nonlinear secretion.
Commun. Nonlinear Sci. Numer. Simul.
Dongyang Shi, Chaoqun Li
2023 J jnl
A novel approach of unconditional optimal error estimate of linearized and conservative Galerkin FEM for Klein-Gordon-Schrödinger equations.
Commun. Nonlinear Sci. Numer. Simul.
Huaijun Yang, Dongyang Shi
2023 J jnl
Convergence analysis of the Galerkin finite element method for the fourth-order Rosenau equation.
Appl. Math. Lett.
Dongyang Shi, Xu Jia
2023 J jnl
Nonconforming modified Quasi-Wilson finite element method for convection-diffusion-reaction equation.
Commun. Nonlinear Sci. Numer. Simul.
Sihui Zhang, Xiangyu Shi, Dongyang Shi
2023 J jnl
Superconvergence analysis of finite element method for nonlinear semiconductor device problem.
Comput. Math. Appl.
Dongyang Shi, Peng Jian
2023 J jnl
Superconvergence error analysis of an efficient mixed finite element method for time-dependent natural convection problem.
Comput. Math. Appl.
Qian Liu, Dongyang Shi
2023 J jnl
Unconditional error estimates of linearized BDF2-Galerkin FEMs for nonlinear coupled Schrödinger-Helmholtz equations.
Numer. Algorithms
Dongyang Shi, Houchao Zhang
2023 J jnl
Unconditional superconvergence analysis for the nonlinear Bi-flux diffusion equation.
Appl. Math. Comput.
Dongyang Shi, Sihui Zhang
2023 J jnl
Unconditional superconvergence analysis of a modified nonconforming energy stable BDF2 FEM for Sobolev equations with Burgers' type nonlinearity.
Commun. Nonlinear Sci. Numer. Simul.
Dongyang Shi, He Ma
2023 J jnl
Unconditional superconvergence analysis of an energy conservation scheme with Galerkin FEM for nonlinear Benjamin-Bona-Mahony equation.
Commun. Nonlinear Sci. Numer. Simul.
Dongyang Shi, Zhenqi Qi
2023 J jnl
Unconditional superconvergence analysis of an energy-stable C-N fully discrete scheme for the nonlinear magnetic diffusion model with memory.
Appl. Math. Lett.
Dongyang Shi, Sihui Zhang
2023 J jnl
Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem.
Adv. Comput. Math.
Huaijun Yang, Dongyang Shi
2022 J jnl
A linearized conservative nonconforming FEM for nonlinear Klein-Gordon-Schrödinger equations.
Comput. Math. Appl.
Dongyang Shi, Houchao Zhang
2022 J jnl
High accuracy analysis of Galerkin finite element method for Klein-Gordon-Zakharov equations.
Appl. Math. Comput.
Dongyang Shi, Ran Wang
2022 J jnl
Unconditional optimal error estimates and superconvergence analysis of energy-preserving FEM for general nonlinear Schrödinger equation with wave operator.
Comput. Math. Appl.
Dongyang Shi, Houchao Zhang
2021 J jnl
Efficient Multiscale Algorithms for Simulating Nonlocal Optical Response of Metallic Nanostructure Arrays.
SIAM J. Sci. Comput.
Yongwei Zhang, Chupeng Ma, Li-Qun Cao, Dongyang Shi
2021 J jnl
Multiscale analysis and algorithm of transient electromagnetic scattering from heterogeneous materials.
J. Comput. Appl. Math.
Yongwei Zhang, Liqun Cao, Dongyang Shi, Yanping Lin
2021 J jnl
Nonconforming Quasi-Wilson finite element approximation for the nonlinear Rosenau equation.
Appl. Math. Lett.
Dongyang Shi, Xu Jia
2021 J jnl
Quasi-uniform and unconditional superconvergence analysis of Ciarlet-Raviart scheme for the fourth order singularly perturbed Bi-wave problem modeling d-wave superconductors.
Appl. Math. Comput.
Yanmi Wu, Dongyang Shi
2021 J jnl
Superconvergence analysis of a mixed finite element approximation for the nonlinear fourth-order Rosenau-RLW equation.
Comput. Math. Appl.
Dongyang Shi, Xu Jia
2021 J jnl
Superconvergence analysis of two-grid methods for bacteria equations.
Numer. Algorithms
Dongyang Shi, Chaoqun Li
2021 J jnl
Superconvergent analysis of a nonconforming mixed finite element method for time-dependent damped Navier-Stokes equations.
Comput. Appl. Math.
Qian Liu, Dongyang Shi
2021 J jnl
Two efficient spectral methods for the nonlinear fractional wave equation in unbounded domain.
Math. Comput. Simul.
Nan Wang, Dongyang Shi
2021 J jnl
Unconditional convergence and superconvergence analysis for the transient Stokes equations with damping.
Appl. Math. Comput.
Zhenzhen Li, Minghao Li, Dongyang Shi
2020 J jnl
Efficient multiscale algorithms for simulating nonlocal optical response of metallic nanostructure arrays.
CoRR
Yongwei Zhang, Chupeng Ma, Liqun Cao, Dongyang Shi
2020 J jnl
Nonconforming finite element method for a generalized nonlinear Schrödinger equation.
Appl. Math. Comput.
Houchao Zhang, Dongyang Shi, Qingfu Li
2020 J jnl
Superconvergence analysis of a two grid finite element method for Ginzburg-Landau equation.
Appl. Math. Comput.
Dongyang Shi, Qian Liu
2020 J jnl
Superconvergence analysis of a two-grid method for an energy-stable Ciarlet-Raviart type scheme of Cahn-Hilliard equation.
Numer. Algorithms
Qian Liu, Dongyang Shi
2020 J jnl
Superconvergence analysis of a two-grid method for nonlinear hyperbolic equations.
Comput. Math. Appl.
Yifan Wei, Dongyang Shi
2020 J jnl
Superconvergence analysis of the lowest order rectangular Raviart-Thomas element for semilinear parabolic equation.
Appl. Math. Lett.
Huaijun Yang, Dongyang Shi
2020 J jnl
Superconvergent analysis of a nonconforming mixed finite element method for non-stationary conduction-convection problem.
Comput. Math. Appl.
Dongyang Shi, Qian Liu
2020 J jnl
Unconditional superconvergence analysis of a linearized Crank-Nicolson Galerkin FEM for generalized Ginzburg-Landau equation.
Comput. Math. Appl.
Meng Li, Dongyang Shi, Junjun Wang
2020 J jnl
Uniformly superconvergent analysis of an efficient two-grid method for nonlinear Bi-wave singular perturbation problem.
Appl. Math. Comput.
Dongyang Shi, Yanmi Wu
2019 J jnl
A nonconforming finite element method for the stationary Smagorinsky model.
Appl. Math. Comput.
Dongyang Shi, Minghao Li, Zhenzhen Li
2019 J jnl
An efficient NFEM for optimal control problems governed by a bilinear state equation.
Comput. Math. Appl.
Hongbo Guan, Dongyang Shi
2019 J jnl
An efficient nonconforming finite element two-grid method for Allen-Cahn equation.
Appl. Math. Lett.
Dongyang Shi, Qian Liu
2019 J jnl
Superconvergence analysis of a new linearized MFEM for nonlinear Schrödinger equation.
Int. J. Comput. Math.
Dongyang Shi, Huaijun Yang
2019 J jnl
Superconvergence analysis of low order nonconforming finite element methods for variational inequality problem with displacement obstacle.
Appl. Math. Comput.
Chao Xu, Dongyang Shi
2019 J jnl
Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem.
Appl. Math. Comput.
Dongyang Shi, Huaijun Yang
2019 J jnl
Unconditionally optimal error estimates of a new mixed FEM for nonlinear Schrödinger equations.
Adv. Comput. Math.
Dongyang Shi, Huaijun Yang
2019 J jnl
Uniform superconvergent analysis of a new mixed finite element method for nonlinear Bi-wave singular perturbation problem.
Appl. Math. Lett.
Dongyang Shi, Yanmi Wu
2018 J jnl
A new approach of superconvergence analysis for two-dimensional time fractional diffusion equation.
Comput. Math. Appl.
Dongyang Shi, Huaijun Yang
2018 J jnl
Superconvergence analysis of a two-grid method for semilinear parabolic equations.
Appl. Math. Lett.
Dongyang Shi, Pengcong Mu, Huaijun Yang
2018 J jnl
Superconvergence analysis of finite element method for time-fractional Thermistor problem.
Appl. Math. Comput.
Dongyang Shi, Huaijun Yang
2017 J jnl
A new error analysis of Bergan's energy-orthogonal element for a plate contact problem.
Appl. Math. Lett.
Lifang Pei, Dongyang Shi
2017 J jnl
Unconditional Superconvergence Analysis for Nonlinear Parabolic Equation with EQ
J. Sci. Comput.
Dongyang Shi, Junjun Wang, Fengna Yan
2017 J jnl
Unconditional Superconvergence Analysis of a Crank-Nicolson Galerkin FEM for Nonlinear Schrödinger Equation.
J. Sci. Comput.
Dongyang Shi, Junjun Wang
2017 J jnl
Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation.
Appl. Math. Comput.
Dongyang Shi, Huaijun Yang
2017 J jnl
Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element.
Appl. Math. Comput.
Dongyang Shi, Junjun Wang
2017 J jnl
Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations.
Comput. Math. Appl.
Dongyang Shi, Junjun Wang
2017 J jnl
Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation.
Appl. Math. Comput.
Dongyang Shi, Junjun Wang
2016 J jnl
A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes.
Appl. Math. Lett.
Dongyang Shi, Huaijun Yang
2016 J jnl
A new nonconforming mixed finite element scheme for second order eigenvalue problem.
Appl. Math. Comput.
Dongyang Shi, Lele Wang, Xin Liao
2016 J jnl
High accuracy analysis of nonconforming MFEM for constrained optimal control problems governed by Stokes equations.
Appl. Math. Lett.
Hongbo Guan, Dongyang Shi, Xiaofei Guan
2016 J jnl
Superconvergence analysis of an H
Comput. Math. Appl.
Dongyang Shi, Junjun Wang
2016 J jnl
Superconvergence analysis of conforming finite element method for nonlinear Schrödinger equation.
Appl. Math. Comput.
Dongyang Shi, Xin Liao, Lele Wang
2016 J jnl
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations.
Appl. Math. Lett.
Yanmin Zhao, Yadong Zhang, Dongyang Shi, Fawang Liu, Ian W. Turner
2016 J jnl
Unconditional superconvergence analysis of a new mixed finite element method for nonlinear Sobolev equation.
Appl. Math. Comput.
Dongyang Shi, Fengna Yan, Junjun Wang
2015 J jnl
A New Stabilization Method for the Elasticity Problem.
J. Sci. Comput.
Dongyang Shi, Minghao Li, Chao Xu
2015 J jnl
A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term.
Math. Comput. Simul.
Dongyang Shi, Qili Tang, Wei Gong
2015 J jnl
A stable nonconforming mixed finite element scheme for elliptic optimal control problems.
Comput. Math. Appl.
Hongbo Guan, Dongyang Shi
2015 J jnl
Nonconforming finite element analysis for Poisson eigenvalue problem.
Comput. Math. Appl.
Dongyang Shi, Lele Wang, Xin Liao
2015 J jnl
The Brezzi-Pitkäranta stabilization scheme for the elasticity problem.
J. Comput. Appl. Math.
Minghao Li, Dongyang Shi, Ying Dai
2014 J jnl
A high accuracy NFEM for constrained optimal control problems governed by elliptic equations.
Appl. Math. Comput.
Hongbo Guan, Dongyang Shi
2014 J jnl
Convergence analysis for a family of improved super-Halley methods under general convergence condition.
Numer. Algorithms
Xiuhua Wang, Dongyang Shi, Jisheng Kou
2014 J jnl
Quasi-Wilson nonconforming element approximation for nonlinear dual phase lagging heat conduction equations.
Appl. Math. Comput.
Dongyang Shi, Yanmin Zhao, Fenling Wang
2014 J jnl
Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation.
Appl. Math. Lett.
Dongyang Shi, Pingli Wang, Yanmin Zhao
2014 J jnl
The lowest order characteristic mixed finite element scheme for convection-dominated diffusion problem.
Comput. Math. Appl.
Dongyang Shi, Xin Liao, Lele Wang
2013 J jnl
A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem.
J. Appl. Math.
Dongyang Shi, Qili Tang, Yadong Zhang
2013 J jnl
A new low order least squares nonconforming characteristics mixed finite element method For Burgers' equation.
Appl. Math. Comput.
Dongyang Shi, Jiaquan Zhou, Dongwei Shi
2013 J jnl
Anisotropic Nonconforming $${ EQ}_1^{rot}$$ Quadrilateral Finite Element Approximation to Second Order Elliptic Problems.
J. Sci. Comput.
Dongyang Shi, Chao Xu, Jin-huan Chen
2013 J jnl
Convergence of an iterative method for solving a class of nonlinear equations.
Comput. Math. Appl.
Xiuhua Wang, Jisheng Kou, Dongyang Shi
2013 J jnl
Nonconforming quadrilateral finite element method for a class of nonlinear sine-Gordon equations.
Appl. Math. Comput.
Dongyang Shi, Lifang Pei
2013 J jnl
Superclose and superconvergence of finite element discretizations for the Stokes equations with damping.
Appl. Math. Comput.
Dongyang Shi, Zhiyun Yu
2013 J jnl
Superconvergence of an H
Comput. Math. Appl.
Yadong Zhang, Dongyang Shi
2012 J jnl
Low-Order Nonconforming Mixed Finite Element Methods for Stationary Incompressible Magnetohydrodynamics Equations.
J. Appl. Math.
Dongyang Shi, Zhiyun Yu
2012 J jnl
Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality.
J. Appl. Math.
Dongyang Shi, Hongbo Guan, Xiaofei Guan
2011 J jnl
A new low-order non-conforming mixed finite-element scheme for second-order elliptic problems.
Int. J. Comput. Math.
Dongyang Shi, Caixia Wang
2011 J jnl
A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations.
Math. Comput. Model.
Dongyang Shi, Wei Gong, Jincheng Ren
2011 J jnl
High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations.
Appl. Math. Comput.
Dongyang Shi, Yadong Zhang
2011 J jnl
High accuracy analysis of the finite element method for nonlinear viscoelastic wave equations with nonlinear boundary conditions.
J. Syst. Sci. Complex.
Dongyang Shi, Buying Zhang
2010 J jnl
A new robust C
Appl. Math. Comput.
Pingli Xie, Dongyang Shi, Hua Li
2010 J jnl
Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument.
Appl. Math. Comput.
Hui Liang, Dongyang Shi, Wanjin Lv
2010 J jnl
Nonconforming finite element method for nonlinear parabolic equations.
J. Syst. Sci. Complex.
Dongyang Shi, Buying Zhang
2009 J jnl
A low order nonconforming anisotropic finite element approximation to parabolic problem.
J. Syst. Sci. Complex.
Dongyang Shi, Wei Gong
2009 J jnl
A new second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations.
Appl. Math. Comput.
Dongyang Shi, Jincheng Ren, Xiaobin Hao
2009 J jnl
Convergence and superconvergence analysis of a new quadratic Hermite-type triangular element on anisotropic meshes.
Appl. Math. Comput.
Dongyang Shi, Hui Liang
2009 J jnl
Error estimates for rotated Q
Appl. Math. Lett.
Dongyang Shi, Yucheng Peng, Shaochun Chen
2009 J jnl
Low order Crouzeix-Raviart type nonconforming finite element methods for the 3D time-dependent Maxwell's equations.
Appl. Math. Comput.
Dongyang Shi, Lifang Pei
2008 J jnl
Accuracy Analysis for Quasi-Carey Element.
J. Syst. Sci. Complex.
Dongyang Shi, Xiaobin Hao
2007 J jnl
Superconvergence Analysis of a Nonconforming Triangular Element on Anisotropic Meshes.
J. Syst. Sci. Complex.
Dongyang Shi, Hui Liang, Caixia Wang
2006 J jnl
Anisotropic Biquadratic Element with Superclose Result.
J. Syst. Sci. Complex.
Dongyang Shi, Shipeng Mao, Hui Liang