杨怀君｜郑州航空工业管理学院｜学者主页

2026

Kuramoto-Tsuzuki方程的Crank-Nicolson格式下有限元方法的无条件最优误差分析

杨怀君，贾旭

《郑州航空工业管理学院学报》

DOI

2026

Convergence and superconvergence analyses of Crank–Nicolson mixed Galerkin method for the extended Fisher–Kolmogorov equation

Huaijun Yang, Le-Le Wang, Xia Liu, Qian Liu

International Journal of Computational Mathematics

DOI

2026

Unconditionally superconvergent error analysis of an energy-conservative Galerkin method for the nonlinear Schrödinger equation with wave operator

Xin Liao, Le-Le Wang, Huaijun Yang

Communications in nonlinear science & numerical simulation

DOI

2026

Superconvergence analysis of an energy-preserving Galerkin method for a class of nonlinear wave equation

Xin Liao, Lele Wang, Huaijun Yang

Computers & Mathematics with Applications

DOI

2026

Unconditionally superconvergence error estimate of an energy-stable FEM for the Allen-Cahn equation based on SAV approach

Qian Liu, Huaijun Yang

Computers & Mathematics with Applications

DOI

2025

A new error analysis of a linearized BDF2 Galerkin scheme for Schrödinger equation with cubic nonlinearity

Huaijun Yang

Computers and Mathematics with Applications

DOI

2025

Unconditionally superconvergence error analysis of an energy-stable finite element method for Schrödinger equation with cubic nonlinearity

Huaijun Yang, Xu Jia, Jinjin Yang

Communications in nonlinear science & numerical simulation

DOI

2025

Unconditionally convergence and superconvergence error analyses of the backward Euler–Galerkin finite element method for the Kuramoto–Tsuzuki equation

Huaijun Yang, Xu Jia

International Journal of Computational Mathematics

DOI

2024

二维半线性波动方程的能量稳定的Galerkin方法超收敛分析

杨怀君，和刘萌

《郑州航空工业管理学院学报》

2024

Superconvergence analysis of an energy-conserving Galerkin FEM for the two-dimensional sine-Gordon equation

Huaijun Yang, Le-Le Wang, Xin Liao

Applicable Analysis

DOI

2024

Superconvergence Error Estimate of the Bilinear-Constant Scheme for the Stokes Equations with Damping

Huaijun Yang, Lele Wang and Xin Liao

Advances in Applied Mathematics and Mechanics

DOI

2024

Unconditionally convergence and superconvergence error analysis of a mass- and energy-conserved finite element method for the Schrödinger–Poisson equation

Huaijun Yang, Xia Liu

Computational and Applied Mathematics

DOI

2024

A new error analysis of a linearized Euler Galerkin scheme for Schrödinger equation with cubic nonlinearity

Huaijun Yang

Applied Mathematics Letters

DOI

2024

Unconditional superconvergence analysis of a structure-preserving finite element method for the Poisson-Nernst-Planck equations

Huaijun Yang, Meng Li

Advances in Computational Mathematics

DOI

2024

Superconvergence Error Estimates of the Lowest-Order Raviart-Thomas Galerkin Mixed Finite Element Method for Nonlinear Thermistor Equations

Huaijun Yang, Dongyang Shi

Journal of Computational Mathematics

DOI

2024

Superconvergence error analysis of linearized semi-implicit bilinear-constant SAV finite element method for the time-dependent Navier–Stokes equations

Huaijun Yang, Dongyang Shi

Communications in Nonlinear Science and Numerical Simulation

DOI

2024

A new linearized second-order energy-stable finite element scheme for the nonlinear Benjamin-Bona-Mahony-Burgers equation

Lele Wang, Xin Liao, Huaijun Yang

Applied Numerical Mathematics

DOI

2023

二阶双曲方程的全离散格式下的混合元超收敛分析

杨怀君

《计算数学》

2023

Kirchhoff型抛物方程的Galerkin有限元法的超收敛误差分析

杨怀君

《郑州航空工业管理学院学报》

2023

抛物积分微分方程的Crank-Nicolson全离散格式下的超收敛分析

杨怀君，孟金涛，周永卫

《郑州航空工业管理学院学报》

2023

Superconvergence error analysis of Ciarlet-Raviart mixed finite element method for damped Boussinesq equation

Huaijun Yang, Xu Jia

Computers & Mathematics with Applications

DOI

2023

Unconditionally Superconvergence Error Analysis of an Energy-Stable and Linearized Galerkin Finite Element Method for Nonlinear Wave Equations

Huaijun Yang

Communications on Applied Mathematics and Computation

DOI

2023

Unconditionally optimal error estimate of the Crank–Nicolson extrapolation Galerkin finite element method for Kuramoto–Tsuzuki equation

Huaijun Yang

Computational and Applied Mathematics

DOI

2023

Superconvergence analysis of the bilinear‐constant scheme for two‐dimensional incompressible convective Brinkman–Forchheimer equations

Huaijun Yang, Xu Jia

Numerical Methods for Partial Differential Equations

DOI

2023

A new error analysis of backward Euler Galerkin finite element method for two-dimensional time-dependent Ginzburg–Landau equation

Huaijun Yang

Applied Mathematics Letters

DOI

2023

Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem

Huaijun Yang, Dongyang Shi

Advances in Computational Mathematics

DOI

2023

A novel approach of unconditional optimal error estimate of linearized and conservative Galerkin FEM for Klein–Gordon–Schrödinger equations

Huaijun Yang, Dongyang Shi

Communications in Nonlinear Science and Numerical Simulation

DOI

2023

Unconditional Superconvergence Error Estimates of Semi-Implicit Low-Order Conforming Mixed Finite Element Method for Time-Dependent Navier–Stokes Equations

Xiaoling Meng, Huaijun Yang

Mathematics

DOI

2023

Convergence and superconvergence analysis of energy-preserving Crank–Nicolson Galerkin method for the Benjamin–Bona–Mahony equation

Huaijun Yang

International Journal of Computer Mathematics

DOI

2023

Superconvergence analysis of a linearized energy-conservative Galerkin method for the nonlinear Schrödinger equation with wave operator

Huaijun Yang, Lele Wang, Xin Liao

Computers & Mathematics with Applications

DOI

2022

Unconditional superconvergence analysis of an energy-stable finite element scheme for nonlinear Benjamin–Bona–Mahony–Burgers equation

Lele Wang, Xin Liao, Huaijun Yang

Boundary Value Problems

DOI

2022

Unconditionally optimal error estimate of mass- and energy-stable Galerkin method for Schrödinger equation with cubic nonlinearity

Huaijun Yang

Applied Numerical Mathematics

DOI

2022

Optimal error estimates of Galerkin method for a nonlinear parabolic integro-differential equation

Huaijun Yang, Dongyang Shi

Applied Numerical Mathematics

DOI

2021

Superconvergence analysis of Galerkin method for semilinear parabolic integro-differential equation

Huaijun Yang

Applied Mathematics Letters

DOI

2021

A novel approach of superconvergence analysis of the bilinear-constant scheme for time-dependent Stokes equations

Huaijun Yang

Applied Numerical Mathematics

DOI

2021

Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations

Huaijun Yang, Dongyang Shi

Journal of Computational Mathematics

DOI

2021

Superconvergence error estimate of Galerkin method for Sobolev equation with Burgers' type nonlinearity

Huaijun Yang

Applied Numerical Mathematics

DOI

2021

Superconvergence error estimate of a linearized energy-stable Galerkin scheme for semilinear wave equation

Huaijun Yang

Applied Mathematics Letters

DOI

2020

Unconditionally optimal error estimates of BDF2 Galerkin method for semilinear parabolic equation

Huaijun Yang, Dongyang Shi, Litao Zhang

Numerical Methods for Partial Differential Equations

DOI

2020

Superconvergence Analysis of Low Order Nonconforming Mixed Finite Element Methods for Time-Dependent Navier-Stokes Equations

Huaijun Yang, Dongyang Shi, Qian Liu

Journal of Computational Mathematics

DOI

2020

Superconvergence analysis of the lowest order rectangular Raviart–Thomas element for semilinear parabolic equation

Huaijun Yang, Dongyang Shi

Applied Mathematics Letters

DOI

2019

非线性耦合偏微分方程的有限元分析

杨怀君

《郑州大学》

2015

非线性BBM方程的有限元分析

杨怀君

《郑州大学》

精选作品

期刊论文

Kuramoto-Tsuzuki方程的Crank-Nicolson格式下有限元方法的无条件最优误差分析

Convergence and superconvergence analyses of Crank–Nicolson mixed Galerkin method for the extended Fisher–Kolmogorov equation

Unconditionally superconvergent error analysis of an energy-conservative Galerkin method for the nonlinear Schrödinger equation with wave operator

Superconvergence analysis of an energy-preserving Galerkin method for a class of nonlinear wave equation

Unconditionally superconvergence error estimate of an energy-stable FEM for the Allen-Cahn equation based on SAV approach

A new error analysis of a linearized BDF2 Galerkin scheme for Schrödinger equation with cubic nonlinearity

Unconditionally superconvergence error analysis of an energy-stable finite element method for Schrödinger equation with cubic nonlinearity

Unconditionally convergence and superconvergence error analyses of the backward Euler–Galerkin finite element method for the Kuramoto–Tsuzuki equation

二维半线性波动方程的能量稳定的Galerkin方法超收敛分析

Superconvergence analysis of an energy-conserving Galerkin FEM for the two-dimensional sine-Gordon equation

Superconvergence Error Estimate of the Bilinear-Constant Scheme for the Stokes Equations with Damping

Unconditionally convergence and superconvergence error analysis of a mass- and energy-conserved finite element method for the Schrödinger–Poisson equation

A new error analysis of a linearized Euler Galerkin scheme for Schrödinger equation with cubic nonlinearity

Unconditional superconvergence analysis of a structure-preserving finite element method for the Poisson-Nernst-Planck equations

Superconvergence Error Estimates of the Lowest-Order Raviart-Thomas Galerkin Mixed Finite Element Method for Nonlinear Thermistor Equations

Superconvergence error analysis of linearized semi-implicit bilinear-constant SAV finite element method for the time-dependent Navier–Stokes equations

A new linearized second-order energy-stable finite element scheme for the nonlinear Benjamin-Bona-Mahony-Burgers equation

二阶双曲方程的全离散格式下的混合元超收敛分析

Kirchhoff型抛物方程的Galerkin有限元法的超收敛误差分析

抛物积分微分方程的Crank-Nicolson全离散格式下的超收敛分析

Superconvergence error analysis of Ciarlet-Raviart mixed finite element method for damped Boussinesq equation

Unconditionally Superconvergence Error Analysis of an Energy-Stable and Linearized Galerkin Finite Element Method for Nonlinear Wave Equations

Unconditionally optimal error estimate of the Crank–Nicolson extrapolation Galerkin finite element method for Kuramoto–Tsuzuki equation

Superconvergence analysis of the bilinear‐constant scheme for two‐dimensional incompressible convective Brinkman–Forchheimer equations

A new error analysis of backward Euler Galerkin finite element method for two-dimensional time-dependent Ginzburg–Landau equation

Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem

A novel approach of unconditional optimal error estimate of linearized and conservative Galerkin FEM for Klein–Gordon–Schrödinger equations

Unconditional Superconvergence Error Estimates of Semi-Implicit Low-Order Conforming Mixed Finite Element Method for Time-Dependent Navier–Stokes Equations

Convergence and superconvergence analysis of energy-preserving Crank–Nicolson Galerkin method for the Benjamin–Bona–Mahony equation

Superconvergence analysis of a linearized energy-conservative Galerkin method for the nonlinear Schrödinger equation with wave operator

Unconditional superconvergence analysis of an energy-stable finite element scheme for nonlinear Benjamin–Bona–Mahony–Burgers equation

Unconditionally optimal error estimate of mass- and energy-stable Galerkin method for Schrödinger equation with cubic nonlinearity

Optimal error estimates of Galerkin method for a nonlinear parabolic integro-differential equation

Superconvergence analysis of Galerkin method for semilinear parabolic integro-differential equation

A novel approach of superconvergence analysis of the bilinear-constant scheme for time-dependent Stokes equations

Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations

Superconvergence error estimate of Galerkin method for Sobolev equation with Burgers' type nonlinearity

Superconvergence error estimate of a linearized energy-stable Galerkin scheme for semilinear wave equation

Unconditionally optimal error estimates of BDF2 Galerkin method for semilinear parabolic equation

Superconvergence Analysis of Low Order Nonconforming Mixed Finite Element Methods for Time-Dependent Navier-Stokes Equations

Superconvergence analysis of the lowest order rectangular Raviart–Thomas element for semilinear parabolic equation

非线性耦合偏微分方程的有限元分析

非线性BBM方程的有限元分析

研究方向