Dongyang Shi
Orcid: 0000-0003-3945-6796
According to our database1,
Dongyang Shi
authored at least 97 papers
between 2006 and 2024.
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Bibliography
2024
Unconditional superconvergence analysis of an energy-stable <i>L</i>1 scheme for coupled nonlinear time-fractional prey-predator equations with nonconforming finite element.
Appl. Math. Comput., April, 2024
Superconvergence analysis of an H1-Galerkin mixed FEM for Klein-Gordon-Zakharov equations with power law nonlinearity.
Commun. Nonlinear Sci. Numer. Simul., March, 2024
Optimal error estimates of an H<sup>1</sup>-Galerkin mixed finite element method for nonlinear Kirchhoff-type problem.
Comput. Appl. Math., February, 2024
Unconditional superconvergence analysis of modified finite difference streamlined diffusion method for nonlinear convection-dominated diffusion equation.
Comput. Math. Appl., January, 2024
Unconditional superconvergence analysis of an energy-preserving finite element scheme for nonlinear BBM equation.
Comput. Math. Appl., January, 2024
Unconditional superconvergence analysis of two-grid nonconforming FEMs for the fourth order nonlinear extend Fisher-Kolmogorov equation.
Appl. Math. Comput., 2024
2023
Unconditional superconvergence analysis of an energy conservation scheme with Galerkin FEM for nonlinear Benjamin-Bona-Mahony equation.
Commun. Nonlinear Sci. Numer. Simul., December, 2023
Unconditional superconvergence analysis of a modified nonconforming energy stable BDF2 FEM for Sobolev equations with Burgers' type nonlinearity.
Commun. Nonlinear Sci. Numer. Simul., November, 2023
Unconditional superconvergence analysis of an energy-stable C-N fully discrete scheme for the nonlinear magnetic diffusion model with memory.
Appl. Math. Lett., November, 2023
Nonconforming modified Quasi-Wilson finite element method for convection-diffusion-reaction equation.
Commun. Nonlinear Sci. Numer. Simul., October, 2023
A novel approach of unconditional optimal error estimate of linearized and conservative Galerkin FEM for Klein-Gordon-Schrödinger equations.
Commun. Nonlinear Sci. Numer. Simul., August, 2023
Superconvergence analysis of finite element method for nonlinear semiconductor device problem.
Comput. Math. Appl., May, 2023
A linearized decoupled Crank-Nicolson FEM for Keller-Segel chemotactic model with nonlinear secretion.
Commun. Nonlinear Sci. Numer. Simul., April, 2023
Unconditional error estimates of linearized BDF2-Galerkin FEMs for nonlinear coupled Schrödinger-Helmholtz equations.
Numer. Algorithms, March, 2023
Superconvergence error analysis of an efficient mixed finite element method for time-dependent natural convection problem.
Comput. Math. Appl., February, 2023
Convergence analysis of the Galerkin finite element method for the fourth-order Rosenau equation.
Appl. Math. Lett., 2023
Unconditional superconvergence analysis for the nonlinear Bi-flux diffusion equation.
Appl. Math. Comput., 2023
Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem.
Adv. Comput. Math., 2023
2022
Unconditional optimal error estimates and superconvergence analysis of energy-preserving FEM for general nonlinear Schrödinger equation with wave operator.
Comput. Math. Appl., 2022
A linearized conservative nonconforming FEM for nonlinear Klein-Gordon-Schrödinger equations.
Comput. Math. Appl., 2022
High accuracy analysis of Galerkin finite element method for Klein-Gordon-Zakharov equations.
Appl. Math. Comput., 2022
2021
Efficient Multiscale Algorithms for Simulating Nonlocal Optical Response of Metallic Nanostructure Arrays.
SIAM J. Sci. Comput., 2021
Numer. Algorithms, 2021
Two efficient spectral methods for the nonlinear fractional wave equation in unbounded domain.
Math. Comput. Simul., 2021
Multiscale analysis and algorithm of transient electromagnetic scattering from heterogeneous materials.
J. Comput. Appl. Math., 2021
Superconvergence analysis of a mixed finite element approximation for the nonlinear fourth-order Rosenau-RLW equation.
Comput. Math. Appl., 2021
Superconvergent analysis of a nonconforming mixed finite element method for time-dependent damped Navier-Stokes equations.
Comput. Appl. Math., 2021
Nonconforming Quasi-Wilson finite element approximation for the nonlinear Rosenau equation.
Appl. Math. Lett., 2021
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., 2021
Unconditional convergence and superconvergence analysis for the transient Stokes equations with damping.
Appl. Math. Comput., 2021
2020
Superconvergence analysis of a two-grid method for an energy-stable Ciarlet-Raviart type scheme of Cahn-Hilliard equation.
Numer. Algorithms, 2020
Comput. Math. Appl., 2020
Superconvergent analysis of a nonconforming mixed finite element method for non-stationary conduction-convection problem.
Comput. Math. Appl., 2020
Unconditional superconvergence analysis of a linearized Crank-Nicolson Galerkin FEM for generalized Ginzburg-Landau equation.
Comput. Math. Appl., 2020
Superconvergence analysis of the lowest order rectangular Raviart-Thomas element for semilinear parabolic equation.
Appl. Math. Lett., 2020
Nonconforming finite element method for a generalized nonlinear Schrödinger equation.
Appl. Math. Comput., 2020
Uniformly superconvergent analysis of an efficient two-grid method for nonlinear Bi-wave singular perturbation problem.
Appl. Math. Comput., 2020
Superconvergence analysis of a two grid finite element method for Ginzburg-Landau equation.
Appl. Math. Comput., 2020
2019
Superconvergence analysis of a new linearized MFEM for nonlinear Schrödinger equation.
Int. J. Comput. Math., 2019
An efficient NFEM for optimal control problems governed by a bilinear state equation.
Comput. Math. Appl., 2019
Uniform superconvergent analysis of a new mixed finite element method for nonlinear Bi-wave singular perturbation problem.
Appl. Math. Lett., 2019
Appl. Math. Lett., 2019
Superconvergence analysis of low order nonconforming finite element methods for variational inequality problem with displacement obstacle.
Appl. Math. Comput., 2019
Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem.
Appl. Math. Comput., 2019
Appl. Math. Comput., 2019
Unconditionally optimal error estimates of a new mixed FEM for nonlinear Schrödinger equations.
Adv. Comput. Math., 2019
2018
A new approach of superconvergence analysis for two-dimensional time fractional diffusion equation.
Comput. Math. Appl., 2018
Appl. Math. Lett., 2018
Superconvergence analysis of finite element method for time-fractional Thermistor problem.
Appl. Math. Comput., 2018
2017
Unconditional Superconvergence Analysis for Nonlinear Parabolic Equation with EQ<sub>1</sub><sup>rot</sup> Nonconforming Finite Element.
J. Sci. Comput., 2017
Unconditional Superconvergence Analysis of a Crank-Nicolson Galerkin FEM for Nonlinear Schrödinger Equation.
J. Sci. Comput., 2017
Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations.
Comput. Math. Appl., 2017
A new error analysis of Bergan's energy-orthogonal element for a plate contact problem.
Appl. Math. Lett., 2017
Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation.
Appl. Math. Comput., 2017
Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element.
Appl. Math. Comput., 2017
Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation.
Appl. Math. Comput., 2017
2016
Superconvergence analysis of an H<sup>1</sup>-Galerkin mixed finite element method for Sobolev equations.
Comput. Math. Appl., 2016
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations.
Appl. Math. Lett., 2016
A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes.
Appl. Math. Lett., 2016
High accuracy analysis of nonconforming MFEM for constrained optimal control problems governed by Stokes equations.
Appl. Math. Lett., 2016
Unconditional superconvergence analysis of a new mixed finite element method for nonlinear Sobolev equation.
Appl. Math. Comput., 2016
Appl. Math. Comput., 2016
Superconvergence analysis of conforming finite element method for nonlinear Schrödinger equation.
Appl. Math. Comput., 2016
2015
A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term.
Math. Comput. Simul., 2015
J. Comput. Appl. Math., 2015
Comput. Math. Appl., 2015
A stable nonconforming mixed finite element scheme for elliptic optimal control problems.
Comput. Math. Appl., 2015
2014
Convergence analysis for a family of improved super-Halley methods under general convergence condition.
Numer. Algorithms, 2014
The lowest order characteristic mixed finite element scheme for convection-dominated diffusion problem.
Comput. Math. Appl., 2014
Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation.
Appl. Math. Lett., 2014
Quasi-Wilson nonconforming element approximation for nonlinear dual phase lagging heat conduction equations.
Appl. Math. Comput., 2014
A high accuracy NFEM for constrained optimal control problems governed by elliptic equations.
Appl. Math. Comput., 2014
2013
Anisotropic Nonconforming $${ EQ}_1^{rot}$$ Quadrilateral Finite Element Approximation to Second Order Elliptic Problems.
J. Sci. Comput., 2013
A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem.
J. Appl. Math., 2013
Superconvergence of an H<sup>1</sup>-Galerkin nonconforming mixed finite element method for a parabolic equation.
Comput. Math. Appl., 2013
Comput. Math. Appl., 2013
A new low order least squares nonconforming characteristics mixed finite element method For Burgers' equation.
Appl. Math. Comput., 2013
Superclose and superconvergence of finite element discretizations for the Stokes equations with damping.
Appl. Math. Comput., 2013
Nonconforming quadrilateral finite element method for a class of nonlinear sine-Gordon equations.
Appl. Math. Comput., 2013
2012
Low-Order Nonconforming Mixed Finite Element Methods for Stationary Incompressible Magnetohydrodynamics Equations.
J. Appl. Math., 2012
Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality.
J. Appl. Math., 2012
2011
A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations.
Math. Comput. Model., 2011
High accuracy analysis of the finite element method for nonlinear viscoelastic wave equations with nonlinear boundary conditions.
J. Syst. Sci. Complex., 2011
A new low-order non-conforming mixed finite-element scheme for second-order elliptic problems.
Int. J. Comput. Math., 2011
High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations.
Appl. Math. Comput., 2011
2010
J. Syst. Sci. Complex., 2010
A new robust C<sup>0</sup>-type nonconforming triangular element for singular perturbation problems.
Appl. Math. Comput., 2010
Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument.
Appl. Math. Comput., 2010
2009
A low order nonconforming anisotropic finite element approximation to parabolic problem.
J. Syst. Sci. Complex., 2009
Error estimates for rotated Q<sub>1</sub><sup>rot</sup> element approximation of the eigenvalue problem on anisotropic meshes.
Appl. Math. Lett., 2009
A new second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations.
Appl. Math. Comput., 2009
Low order Crouzeix-Raviart type nonconforming finite element methods for the 3D time-dependent Maxwell's equations.
Appl. Math. Comput., 2009
Convergence and superconvergence analysis of a new quadratic Hermite-type triangular element on anisotropic meshes.
Appl. Math. Comput., 2009
2008
2007
Superconvergence Analysis of a Nonconforming Triangular Element on Anisotropic Meshes.
J. Syst. Sci. Complex., 2007
2006