Dongyang Shi

ORCID

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 76

Top Venues

Comput. Math. Appl.

Appl. Math. Comput.

Appl. Math. Lett.

Commun. Nonlinear Sci. Numer. Simul.

Publications

Ran Wang, Dongyang Shi
Superconvergence analysis of an H1-Galerkin mixed FEM for Klein-Gordon-Zakharov equations with power law nonlinearity. Commun. Nonlinear Sci. Numer. Simul. 130 (2024)
Dongyang Shi, Conggang Liang
Optimal error estimates of nonconforming Wilson element for nonlinear nonlocal parabolic problems. Comput. Math. Appl. 163 (2024)
Dongyang Shi, Sihui Zhang
Superconvergence analysis of an anisotropic nonconforming FEM for parabolic equation. J. Comput. Appl. Math. 449 (2024)
Xiangyu Shi, Haijie Wang, Dongyang Shi
Novel superconvergence analysis of a low order FEM for nonlinear time-fractional Joule heating problem. Commun. Nonlinear Sci. Numer. Simul. 133 (2024)
Yanmi Wu, Dongyang Shi
-Galerkin mixed finite element method for nonlinear Kirchhoff-type problem. Comput. Appl. Math. 43 (1) (2024)
Huaijun Yang, Dongyang Shi
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. 134 (2024)
Lifang Pei, Chaofeng Zhang, Dongyang Shi
Unconditional superconvergence analysis of two-grid nonconforming FEMs for the fourth order nonlinear extend Fisher-Kolmogorov equation. Appl. Math. Comput. 471 (2024)
Dongyang Shi, Zhenqi Qi
Unconditional superconvergence analysis of an energy dissipation property preserving nonconforming FEM for nonlinear BBMB equation. Comput. Appl. Math. 43 (4) (2024)
Dongyang Shi, Lingen Zhang
Unconditional superconvergence analysis of modified finite difference streamlined diffusion method for nonlinear convection-dominated diffusion equation. Comput. Math. Appl. 153 (2024)
Dongyang Shi, Zhenqi Qi
Unconditional superconvergence analysis of an energy-preserving finite element scheme for nonlinear BBM equation. Comput. Math. Appl. 153 (2024)
Huazhao Xie, Dongyang Shi, Qian Liu
Nonconforming quadrilateral finite element analysis for the nonlinear Ginzburg-Landau equation. Comput. Math. Appl. 171 (2024)
Junjun Wang, Dongyang Shi, Lina Cao, Jiaxuan Pei
Superconvergence of a new energy dissipation finite element scheme for nonlinear Schrödinger equation with wave operator. Comput. Math. Appl. 161 (2024)
Dongyang Shi, Minghao Li, Qili Tang
Superconvergence analysis of a new stabilized nonconforming finite element method for the Stokes equations. Comput. Math. Appl. 169 (2024)
Xiaochen Chu, Dongyang Shi, Tong Zhang
Fully decoupled, linearized and stabilized finite volume method for the time-dependent incompressible MHD equations. Commun. Nonlinear Sci. Numer. Simul. 136 (2024)
Xiaolong Zhao, Shijun Zou, Xijun Yu, Dongyang Shi, Shicang Song
A high-order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for compressible flows in two-dimensional Cartesian and cylindrical coordinates. Comput. Math. Appl. 170 (2024)
Xiaolong Zhao, Dongyang Shi, Shicang Song, Shijun Zou
A high-order limiter-free arbitrary Lagrangian-Eulerian discontinuous Galerkin scheme for compressible multi-material flows. Appl. Math. Lett. 153 (2024)
Dongyang Shi, Sihui Zhang
1 scheme for coupled nonlinear time-fractional prey-predator equations with nonconforming finite element. Appl. Math. Comput. 467 (2024)
Xixian Bai, Chunyan Niu, Dongyang Shi, Yongwei Zhang
A leap-frog nodal discontinuous Galerkin method for Maxwell polynomial chaos Debye model. Comput. Math. Appl. 162 (2024)
Chaoqun Li, Dongyang Shi
Low order nonconforming finite element methods for nuclear reactor model. Commun. Nonlinear Sci. Numer. Simul. 133 (2024)
Dongyang Shi, Sihui Zhang
Unconditional superconvergence analysis for the nonlinear Bi-flux diffusion equation. Appl. Math. Comput. 442 (2023)
Huaijun Yang, Dongyang Shi
A novel approach of unconditional optimal error estimate of linearized and conservative Galerkin FEM for Klein-Gordon-Schrödinger equations. Commun. Nonlinear Sci. Numer. Simul. 123 (2023)
Dongyang Shi, Xu Jia
Convergence analysis of the Galerkin finite element method for the fourth-order Rosenau equation. Appl. Math. Lett. 135 (2023)
Dongyang Shi, Sihui Zhang
Unconditional superconvergence analysis of an energy-stable C-N fully discrete scheme for the nonlinear magnetic diffusion model with memory. Appl. Math. Lett. 145 (2023)
Dongyang Shi, Houchao Zhang
Unconditional error estimates of linearized BDF2-Galerkin FEMs for nonlinear coupled Schrödinger-Helmholtz equations. Numer. Algorithms 92 (3) (2023)
Huaijun Yang, Dongyang Shi
Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem. Adv. Comput. Math. 49 (3) (2023)
Dongyang Shi, Peng Jian
Superconvergence analysis of finite element method for nonlinear semiconductor device problem. Comput. Math. Appl. 138 (2023)
Sihui Zhang, Xiangyu Shi, Dongyang Shi
Nonconforming modified Quasi-Wilson finite element method for convection-diffusion-reaction equation. Commun. Nonlinear Sci. Numer. Simul. 125 (2023)
Qian Liu, Dongyang Shi
Superconvergence error analysis of an efficient mixed finite element method for time-dependent natural convection problem. Comput. Math. Appl. 131 (2023)
Dongyang Shi, Zhenqi Qi
Unconditional superconvergence analysis of an energy conservation scheme with Galerkin FEM for nonlinear Benjamin-Bona-Mahony equation. Commun. Nonlinear Sci. Numer. Simul. 127 (2023)
Dongyang Shi, He Ma
Unconditional superconvergence analysis of a modified nonconforming energy stable BDF2 FEM for Sobolev equations with Burgers' type nonlinearity. Commun. Nonlinear Sci. Numer. Simul. 126 (2023)
Dongyang Shi, Chaoqun Li
A linearized decoupled Crank-Nicolson FEM for Keller-Segel chemotactic model with nonlinear secretion. Commun. Nonlinear Sci. Numer. Simul. 118 (2023)
Dongyang Shi, Ran Wang
High accuracy analysis of Galerkin finite element method for Klein-Gordon-Zakharov equations. Appl. Math. Comput. 415 (2022)
Dongyang Shi, Houchao Zhang
A linearized conservative nonconforming FEM for nonlinear Klein-Gordon-Schrödinger equations. Comput. Math. Appl. 106 (2022)
Dongyang Shi, Houchao Zhang
Unconditional optimal error estimates and superconvergence analysis of energy-preserving FEM for general nonlinear Schrödinger equation with wave operator. Comput. Math. Appl. 128 (2022)
Qian Liu, Dongyang Shi
Superconvergent analysis of a nonconforming mixed finite element method for time-dependent damped Navier-Stokes equations. Comput. Appl. Math. 40 (1) (2021)
Yongwei Zhang, Chupeng Ma, Li-Qun Cao, Dongyang Shi
Efficient Multiscale Algorithms for Simulating Nonlocal Optical Response of Metallic Nanostructure Arrays. SIAM J. Sci. Comput. 43 (4) (2021)
Zhenzhen Li, Minghao Li, Dongyang Shi
Unconditional convergence and superconvergence analysis for the transient Stokes equations with damping. Appl. Math. Comput. 389 (2021)
Nan Wang, Dongyang Shi
Two efficient spectral methods for the nonlinear fractional wave equation in unbounded domain. Math. Comput. Simul. 185 (2021)
Yanmi Wu, Dongyang Shi
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. 397 (2021)
Dongyang Shi, Xu Jia
Superconvergence analysis of a mixed finite element approximation for the nonlinear fourth-order Rosenau-RLW equation. Comput. Math. Appl. 98 (2021)
Dongyang Shi, Xu Jia
Nonconforming Quasi-Wilson finite element approximation for the nonlinear Rosenau equation. Appl. Math. Lett. 119 (2021)
Dongyang Shi, Chaoqun Li
Superconvergence analysis of two-grid methods for bacteria equations. Numer. Algorithms 86 (1) (2021)
Yongwei Zhang, Liqun Cao, Dongyang Shi, Yanping Lin
Multiscale analysis and algorithm of transient electromagnetic scattering from heterogeneous materials. J. Comput. Appl. Math. 391 (2021)
Dongyang Shi, Yanmi Wu
Uniformly superconvergent analysis of an efficient two-grid method for nonlinear Bi-wave singular perturbation problem. Appl. Math. Comput. 367 (2020)
Qian Liu, Dongyang Shi
Superconvergence analysis of a two-grid method for an energy-stable Ciarlet-Raviart type scheme of Cahn-Hilliard equation. Numer. Algorithms 85 (2) (2020)
Dongyang Shi, Qian Liu
Superconvergence analysis of a two grid finite element method for Ginzburg-Landau equation. Appl. Math. Comput. 365 (2020)
Yongwei Zhang, Chupeng Ma, Liqun Cao, Dongyang Shi
Efficient multiscale algorithms for simulating nonlocal optical response of metallic nanostructure arrays. CoRR (2020)
Meng Li, Dongyang Shi, Junjun Wang
Unconditional superconvergence analysis of a linearized Crank-Nicolson Galerkin FEM for generalized Ginzburg-Landau equation. Comput. Math. Appl. 79 (8) (2020)
Dongyang Shi, Qian Liu
Superconvergent analysis of a nonconforming mixed finite element method for non-stationary conduction-convection problem. Comput. Math. Appl. 79 (2) (2020)
Yifan Wei, Dongyang Shi
Superconvergence analysis of a two-grid method for nonlinear hyperbolic equations. Comput. Math. Appl. 79 (10) (2020)
Houchao Zhang, Dongyang Shi, Qingfu Li
Nonconforming finite element method for a generalized nonlinear Schrödinger equation. Appl. Math. Comput. 377 (2020)
Huaijun Yang, Dongyang Shi
Superconvergence analysis of the lowest order rectangular Raviart-Thomas element for semilinear parabolic equation. Appl. Math. Lett. 105 (2020)
Dongyang Shi, Minghao Li, Zhenzhen Li
A nonconforming finite element method for the stationary Smagorinsky model. Appl. Math. Comput. 353 (2019)
Dongyang Shi, Huaijun Yang
Unconditionally optimal error estimates of a new mixed FEM for nonlinear Schrödinger equations. Adv. Comput. Math. 45 (5) (2019)
Dongyang Shi, Qian Liu
An efficient nonconforming finite element two-grid method for Allen-Cahn equation. Appl. Math. Lett. 98 (2019)
Dongyang Shi, Huaijun Yang
Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem. Appl. Math. Comput. 347 (2019)
Dongyang Shi, Huaijun Yang
Superconvergence analysis of a new linearized MFEM for nonlinear Schrödinger equation. Int. J. Comput. Math. 96 (7) (2019)
Chao Xu, Dongyang Shi
Superconvergence analysis of low order nonconforming finite element methods for variational inequality problem with displacement obstacle. Appl. Math. Comput. 348 (2019)
Hongbo Guan, Dongyang Shi
An efficient NFEM for optimal control problems governed by a bilinear state equation. Comput. Math. Appl. 77 (7) (2019)
Dongyang Shi, Yanmi Wu
Uniform superconvergent analysis of a new mixed finite element method for nonlinear Bi-wave singular perturbation problem. Appl. Math. Lett. 93 (2019)
Dongyang Shi, Huaijun Yang
A new approach of superconvergence analysis for two-dimensional time fractional diffusion equation. Comput. Math. Appl. 75 (8) (2018)
Dongyang Shi, Pengcong Mu, Huaijun Yang
Superconvergence analysis of a two-grid method for semilinear parabolic equations. Appl. Math. Lett. 84 (2018)
Dongyang Shi, Huaijun Yang
Superconvergence analysis of finite element method for time-fractional Thermistor problem. Appl. Math. Comput. 323 (2018)
Dongyang Shi, Junjun Wang
Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations. Comput. Math. Appl. 74 (4) (2017)
Dongyang Shi, Junjun Wang
Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation. Appl. Math. Comput. 294 (2017)
Dongyang Shi, Huaijun Yang
Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation. Appl. Math. Comput. 310 (2017)
Dongyang Shi, Junjun Wang
Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element. Appl. Math. Comput. 305 (2017)
Lifang Pei, Dongyang Shi
A new error analysis of Bergan's energy-orthogonal element for a plate contact problem. Appl. Math. Lett. 69 (2017)
Dongyang Shi, Junjun Wang, Fengna Yan
Nonconforming Finite Element. J. Sci. Comput. 70 (1) (2017)
Dongyang Shi, Junjun Wang
Unconditional Superconvergence Analysis of a Crank-Nicolson Galerkin FEM for Nonlinear Schrödinger Equation. J. Sci. Comput. 72 (3) (2017)
Dongyang Shi, Junjun Wang
-Galerkin mixed finite element method for Sobolev equations. Comput. Math. Appl. 72 (6) (2016)
Hongbo Guan, Dongyang Shi, Xiaofei Guan
High accuracy analysis of nonconforming MFEM for constrained optimal control problems governed by Stokes equations. Appl. Math. Lett. 53 (2016)
Dongyang Shi, Lele Wang, Xin Liao
A new nonconforming mixed finite element scheme for second order eigenvalue problem. Appl. Math. Comput. 273 (2016)
Dongyang Shi, Fengna Yan, Junjun Wang
Unconditional superconvergence analysis of a new mixed finite element method for nonlinear Sobolev equation. Appl. Math. Comput. 274 (2016)
Dongyang Shi, Xin Liao, Lele Wang
Superconvergence analysis of conforming finite element method for nonlinear Schrödinger equation. Appl. Math. Comput. 289 (2016)
Dongyang Shi, Huaijun Yang
A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes. Appl. Math. Lett. 58 (2016)
Dongyang Shi, Lele Wang, Xin Liao
Nonconforming finite element analysis for Poisson eigenvalue problem. Comput. Math. Appl. 70 (5) (2015)
Minghao Li, Dongyang Shi, Ying Dai
The Brezzi-Pitkäranta stabilization scheme for the elasticity problem. J. Comput. Appl. Math. 286 (2015)
Dongyang Shi, Minghao Li, Chao Xu
A New Stabilization Method for the Elasticity Problem. J. Sci. Comput. 65 (3) (2015)
Dongyang Shi, Qili Tang, Wei Gong
A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term. Math. Comput. Simul. 114 (2015)
Hongbo Guan, Dongyang Shi
A stable nonconforming mixed finite element scheme for elliptic optimal control problems. Comput. Math. Appl. 70 (3) (2015)
Dongyang Shi, Yanmin Zhao, Fenling Wang
Quasi-Wilson nonconforming element approximation for nonlinear dual phase lagging heat conduction equations. Appl. Math. Comput. 243 (2014)
Dongyang Shi, Pingli Wang, Yanmin Zhao
Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation. Appl. Math. Lett. 38 (2014)
Xiuhua Wang, Dongyang Shi, Jisheng Kou
Convergence analysis for a family of improved super-Halley methods under general convergence condition. Numer. Algorithms 65 (2) (2014)
Hongbo Guan, Dongyang Shi
A high accuracy NFEM for constrained optimal control problems governed by elliptic equations. Appl. Math. Comput. 245 (2014)
Dongyang Shi, Xin Liao, Lele Wang
The lowest order characteristic mixed finite element scheme for convection-dominated diffusion problem. Comput. Math. Appl. 68 (7) (2014)
Dongyang Shi, Zhiyun Yu
Superclose and superconvergence of finite element discretizations for the Stokes equations with damping. Appl. Math. Comput. 219 (14) (2013)
Dongyang Shi, Chao Xu, Jin-huan Chen
Anisotropic Nonconforming $${ EQ}_1^{rot}$$ Quadrilateral Finite Element Approximation to Second Order Elliptic Problems. J. Sci. Comput. 56 (3) (2013)
Dongyang Shi, Qili Tang, Yadong Zhang
A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem. J. Appl. Math. 2013 (2013)
Dongyang Shi, Lifang Pei
Nonconforming quadrilateral finite element method for a class of nonlinear sine-Gordon equations. Appl. Math. Comput. 219 (17) (2013)
Xiuhua Wang, Jisheng Kou, Dongyang Shi
Convergence of an iterative method for solving a class of nonlinear equations. Comput. Math. Appl. 66 (7) (2013)
Dongyang Shi, Jiaquan Zhou, Dongwei Shi
A new low order least squares nonconforming characteristics mixed finite element method For Burgers' equation. Appl. Math. Comput. 219 (24) (2013)
Yadong Zhang, Dongyang Shi
-Galerkin nonconforming mixed finite element method for a parabolic equation. Comput. Math. Appl. 66 (11) (2013)
Dongyang Shi, Hongbo Guan, Xiaofei Guan
Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality. J. Appl. Math. 2012 (2012)
Dongyang Shi, Zhiyun Yu
Low-Order Nonconforming Mixed Finite Element Methods for Stationary Incompressible Magnetohydrodynamics Equations. J. Appl. Math. 2012 (2012)
Dongyang Shi, Caixia Wang
A new low-order non-conforming mixed finite-element scheme for second-order elliptic problems. Int. J. Comput. Math. 88 (10) (2011)
Dongyang Shi, Wei Gong, Jincheng Ren
A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations. Math. Comput. Model. 53 (9-10) (2011)
Dongyang Shi, Buying Zhang
High accuracy analysis of the finite element method for nonlinear viscoelastic wave equations with nonlinear boundary conditions. J. Syst. Sci. Complex. 24 (4) (2011)
Dongyang Shi, Yadong Zhang
High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations. Appl. Math. Comput. 218 (7) (2011)
Dongyang Shi, Buying Zhang
Nonconforming finite element method for nonlinear parabolic equations. J. Syst. Sci. Complex. 23 (2) (2010)

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Publication Activity (10 Years)

Top Topics

Top Venues

Dongyang Shi