Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations. - Yinnian He (SIAM J. Numer. Anal., 2003)

A conjecture on fixed-point indices of mappings in cones. - Dongsheng Li; Yinnian He (Appl. Math. Lett., 2004)

Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem. - Yinnian He; Kaitai Li (Numerische Mathematik, 2004)

Numerical analysis of a modified finite element nonlinear Galerkin method. - Yinnian He; Huanling Miao; Robert M. M. Mattheij; Zhangxin Chen (Numerische Mathematik, 2004)

Using divergence free wavelets for the numerical solution of the 2-D stationary Navier-Stokes equations. - Xiaolin Zhou; Yinnian He (Appl. Math. Comput., 2005)

Two-level Stabilized Finite Element Methods for the Steady Navier-Stokes Problem. - Yinnian He; Kaitai Li (Computing, 2005)

Optimal error estimate of the penalty finite element method for the time-dependent Navier-Stokes equations. - Yinnian He (Math. Comput., 2005)

Multi-level spectral galerkin method for the navier-stokes problem I : spatial discretization. - Yinnian He; Kam-Moon Liu; Weiwei Sun 002 (Numerische Mathematik, 2005)

Multi-level spectral Galerkin method for the Navier-Stokes equations, II: time discretization. - Yinnian He; Kam-Moon Liu (Adv. Comput. Math., 2006)

Parametric iterative methods of second-order for solving nonlinear equation. - Xinlong Feng; Yinnian He (Appl. Math. Comput., 2006)

Stokes coupling method for the exterior flow Part IV: stabilized finite element approximation. - Yinnian He (Appl. Math. Comput., 2006)

A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition. - Jian Li 029; Liquan Mei; Yinnian He (Appl. Math. Comput., 2006)

Retraction to "Asymptotic behavior of the Navier-Stokes flow in a general 2D domain" [Appl. Math. Lett 18 (2005) 1170-1176]. - Yinnian He (Appl. Math. Lett., 2006)

High order iterative methods without derivatives for solving nonlinear equations. - Xinlong Feng; Yinnian He (Appl. Math. Comput., 2007)

Stability and bifurcation for a kind of nonlinear delayed differential equations. - Lingyu Song; Yinnian He; Zhihao Ge (Appl. Math. Comput., 2007)

Analysis of finite element approximations of a phase field model for two-phase fluids. - Xiaobing Feng 001; Yinnian He; Chun Liu 009 (Math. Comput., 2007)

Stabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equations. - Yinnian He; Weiwei Sun 002 (Math. Comput., 2007)

Stability and Convergence of the Crank-Nicolson/Adams-Bashforth scheme for the Time-Dependent Navier-Stokes Equations. - Yinnian He; Weiwei Sun 002 (SIAM J. Numer. Anal., 2007)

The numerical rank of a matrix and its applications. - Xinlong Feng; Yinnian He; Zhinan Zhang (Appl. Math. Comput., 2008)

A stabilized nonconfirming finite element method based on multiscale enrichment for the stationary Navier-Stokes equations. - Zhihao Ge; Minfu Feng; Yinnian He (Appl. Math. Comput., 2008)

Interactions between two rarefaction waves for the pressure-gradient equations in the gas dynamics. - Tong Zhang 010; Hanchun Yang; Yinnian He (Appl. Math. Comput., 2008)

The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data. - Yinnian He (Math. Comput., 2008)

Local and parallel finite element algorithms for the stokes problem. - Yinnian He; Jinchao Xu; Aihui Zhou; Jian Li 029 (Numerische Mathematik, 2008)

A Subgrid Model for the Time-Dependent Navier-Stokes Equations. - Yan Zhang 024; Yinnian He (Adv. Numer. Anal., 2009)

Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs. - Jian Li 029; Yinnian He; Zhangxin Chen (Computing, 2009)

Application of modified homotopy perturbation method for solving the augmented systems. - Xinlong Feng; Yinnian He; Jixiang Meng (J. Comput. Appl. Math., 2009)

Blow-up and global solutions for a class of nonlinear parabolic equations with different kinds of boundary conditions. - Tong Zhang 010; Yinnian He (Appl. Math. Comput., 2010)

A coupled Newton iterative mixed finite element method for stationary conduction-convection problems. - Zhiyong Si; Yinnian He (Computing, 2010)

Two-level stabilized finite element method for the transient Navier-Stokes equations. - Kun Wang; Minfu Feng; Yinnian He (Int. J. Comput. Math., 2010)

A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations. - Yinnian He; Jian Li 029 (J. Comput. Appl. Math., 2010)

Assessment of subgrid-scale models for the incompressible Navier-Stokes equations. - Yan Zhang 024; Yinnian He (J. Comput. Appl. Math., 2010)

Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations. - Yinnian He; Liquan Mei; Yueqiang Shang; Juan Cui (J. Sci. Comput., 2010)

Fully Discrete Finite Element Approximations of a Polymer Gel Model. - Xiaobing Feng 001; Yinnian He (SIAM J. Numer. Anal., 2010)

Modified homotopy perturbation method for solving the Stokes equations. - Xinlong Feng; Yinnian He (Comput. Math. Appl., 2011)

Homotopy analysis method for higher-order fractional integro-differential equations. - Xindong Zhang; Bo Tang 006; Yinnian He (Comput. Math. Appl., 2011)

On error estimates of the fully discrete penalty method for the viscoelastic flow problem. - Kun Wang; Yinnian He; Xinlong Feng (Int. J. Comput. Math., 2011)

The local discontinuous Galerkin finite element method for Burger's equation. - Long Shao; Xinlong Feng; Yinnian He (Math. Comput. Model., 2011)

Convergence analysis for a higher order scheme for the time-dependent Navier-Stokes equations. - Kun Wang; Yinnian He (Appl. Math. Comput., 2012)

A defect-correction method for unsteady conduction-convection problems II: Time discretization. - Zhiyong Si; Yinnian He; Tong Zhang 010 (J. Comput. Appl. Math., 2012)

Numerical comparisons of time-space iterative method and spatial iterative methods for the stationary Navier-Stokes equations. - Yinnian He; Jian Li 029 (J. Comput. Phys., 2012)

P 1-Nonconforming Quadrilateral Finite Volume Methods for the Semilinear Elliptic Equations. - Xinlong Feng; Rongfei Li; Yinnian He; Demin Liu (J. Sci. Comput., 2012)

Fully discrete finite element method based on pressure stabilization for the transient Stokes equations. - Tong Zhang 010; Yinnian He (Math. Comput. Simul., 2012)

A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations. - Jian Li 029; Zhangxin Chen; Yinnian He (Numerische Mathematik, 2012)

Multiscale enrichment of a finite volume element method for the stationary Navier-Stokes problem. - Juan Wen; Yinnian He; Jianhong Yang (Int. J. Comput. Math., 2013)

Some iterative finite element methods for steady Navier-Stokes equations with different viscosities. - Hui Xu 005; Yinnian He (J. Comput. Phys., 2013)

Two-Level Newton's Method for Nonlinear Elliptic PDEs. - Yinnian He; Yan Zhang 024; Hui Xu 005 (J. Sci. Comput., 2013)

A Family of Fourth-Order and Sixth-Order Compact Difference Schemes for the Three-Dimensional Poisson Equation. - Shuying Zhai; Xinlong Feng; Yinnian He (J. Sci. Comput., 2013)

Analysis for one-dimensional time-fractional Tricomi-type equations by LDG methods. - Xindong Zhang; Juan Liu 001; Juan Wen; Bo Tang 006; Yinnian He (Numer. Algorithms, 2013)

Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations. - Yinnian He (Numerische Mathematik, 2013)

A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation. - Shuying Zhai; Xinlong Feng; Yinnian He (Appl. Math. Comput., 2014)

Convergence analysis of a new multiscale finite element method for the stationary Navier-Stokes problem. - Juan Wen; Yinnian He (Comput. Math. Appl., 2014)

Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain. - Guo-Dong Zhang; Yinnian He; Di Yang 005 (Comput. Math. Appl., 2014)

Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method. - Shuying Zhai; Xinlong Feng; Yinnian He (Comput. Phys. Commun., 2014)

A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher's equation. - Xindong Zhang; Yinnian He; Leilei Wei; Bo Tang 006; Shaoli Wang (Int. J. Comput. Math., 2014)

An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. - Shuying Zhai; Xinlong Feng; Yinnian He (J. Comput. Phys., 2014)

An efficient two-step algorithm for the incompressible flow problem. - Pengzhan Huang; Xinlong Feng; Yinnian He (Adv. Comput. Math., 2015)

Decoupled schemes for unsteady MHD equations II: Finite element spatial discretization and numerical implementation. - Guo-Dong Zhang; Yinnian He (Comput. Math. Appl., 2015)

Two-Level Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics. - Xiaojing Dong; Yinnian He (J. Sci. Comput., 2015)

$$H^2$$ H 2 -Stability of the First Order Fully Discrete Schemes for the Time-Dependent Navier-Stokes Equations. - Yinnian He; Pengzhan Huang; Xinlong Feng (J. Sci. Comput., 2015)

Two-Level Coupled and Decoupled Parallel Correction Methods for Stationary Incompressible Magnetohydrodynamics. - Guo-Dong Zhang; Yan Zhang 024; Yinnian He (J. Sci. Comput., 2015)

Second order time-space iterative method for the stationary Navier-Stokes equations. - Pengzhan Huang; Yinnian He; Xinlong Feng (Appl. Math. Lett., 2016)

A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes. - Yinnian He; Weizhang Huang (J. Comput. Appl. Math., 2016)

First-Order Decoupled Finite Element Method of the three-Dimensional Primitive Equations of the Ocean. - Yinnian He; Yan Zhang 024; Hui Xu 005; Zhangxin Chen (SIAM J. Sci. Comput., 2016)

Boundary element method for a free boundary problem modeling three dimensional tumor growth. - Yarong Zhang; Yinnian He; Hongbin Chen 003 (Comput. Math. Appl., 2017)

Local and parallel finite element algorithm based on the partition of unity method for the incompressible MHD flow. - Xiaojing Dong; Yinnian He; Hongbo Wei; Yuhong Zhang (Adv. Comput. Math., 2018)

Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics. - Xiaojing Dong; Yinnian He (Comput. Math. Appl., 2018)

Fully discrete stabilized multiphysics finite element method for the polymer gel model. - Zhihao Ge; Zhen Guan; Yinnian He (Comput. Math. Appl., 2018)

Unconditional convergence and optimal L2 error estimates of the Crank-Nicolson extrapolation FEM for the nonstationary Navier-Stokes equations. - Yingwen Guo; Yinnian He (Comput. Math. Appl., 2018)

Weak Galerkin Finite Element Methods for the Simulation of Single-Phase Flow in Fractured Porous Media. - Gang Wang; Yinnian He; Jinjin Yang (J. Sci. Comput., 2018)

Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method. - Xufeng Xiao; Xinlong Feng; Yinnian He (Comput. Math. Appl., 2019)

Stability and convergence of semi-implicit time-stepping algorithm for stationary incompressible magnetohydrodynamics. - Jinjin Yang; Yinnian He (Comput. Math. Appl., 2019)

Stability and convergence of a finite element method for a semilinear elliptical problem with small viscosity. - Yarong Zhang; Yinnian He (Comput. Math. Appl., 2019)

A new multiscale finite element method for the 2D transient Navier-Stokes equations. - Juan Wen; Yinnian He (Int. J. Comput. Math., 2019)

Boundary element method for a free third boundary problem modeling tumor growth with spectral accuracy. - Yarong Zhang; Yinnian He; Hongbin Chen 003 (J. Comput. Appl. Math., 2019)

A parallel finite element method for incompressible magnetohydrodynamics equations. - Xiaojing Dong; Yinnian He (Appl. Math. Lett., 2020)

A strongly conservative finite element method for the coupled Stokes-Biot Model. - Jing Wen; Yinnian He (Comput. Math. Appl., 2020)

A fully discrete local discontinuous Galerkin method with the generalized numerical flux to solve the tempered fractional reaction-diffusion equation. - Leilei Wei; Yinnian He (CoRR, 2020)

Decoupled Modified Characteristic Finite Element Method with Different Subdomain Time Steps for Nonstationary Dual-Porosity-Navier-Stokes Model. - Luling Cao; Yinnian He; Jian Li 029 (CoRR, 2020)

A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem. - Cheng Liao; Pengzhan Huang; Yinnian He (J. Num. Math., 2020)

Two-Level Schwarz Methods for a Discontinuous Galerkin Approximation of Elliptic Problems with Jump Coefficients. - Yingzhi Liu; Yinnian He (J. Sci. Comput., 2020)

Crank-Nicolson Leap-Frog Time Stepping Decoupled Scheme for the Fluid-Fluid Interaction Problems. - Lingzhi Qian; Xinlong Feng; Yinnian He (J. Sci. Comput., 2020)

A Posteriori Error Estimates for the Virtual Element Method for the Stokes Problem. - Gang Wang 054; Ying Wang 026; Yinnian He (J. Sci. Comput., 2020)

A Discontinuous Galerkin Method for the Coupled Stokes and Darcy Problem. - Jing Wen; Jian Su; Yinnian He; Hongbin Chen 003 (J. Sci. Comput., 2020)

A divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes. - Gang Wang 054; Feng Wang 030; Yinnian He (Adv. Comput. Math., 2021)

A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition. - Yingzhi Liu; Yinnian He; Xuejian Li; Xiaoming He (Appl. Math. Lett., 2021)

A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes. - Di Yang 005; Yinnian He (Comput. Math. Appl., 2021)

Analysis and computation of a pressure-robust method for the rotation form of the stationary incompressible Navier-Stokes equations by using high-order finite elements. - Di Yang 005; Yinnian He (CoRR, 2021)

Mesh Sensitivity Analysis for Finite Element Solution of Linear Elliptic Partial Differential Equations. - Yinnian He; Weizhang Huang (CoRR, 2021)

Finite Element Iterative Methods for the 3D Steady Navier-Stokes Equations. - Yinnian He (Entropy, 2021)

Decoupled modified characteristic FEMs for fully evolutionary Navier-Stokes-Darcy model with the Beavers-Joseph interface condition. - Luling Cao; Yinnian He; Jian Li 029; Di Yang 005 (J. Comput. Appl. Math., 2021)

A weak Galerkin finite element method based on H(div) virtual element for Darcy flow on polytopal meshes. - Gang Wang 054; Ying Wang 026; Yinnian He (J. Comput. Appl. Math., 2021)

Stability and Error Estimate of the Operator Splitting Method for the Phase Field Crystal Equation. - Shuying Zhai; Zhifeng Weng; Xinlong Feng; Yinnian He (J. Sci. Comput., 2021)

A stabilized difference finite element method for the 3D steady Stokes equations. - Xiaoli Lu; Pengzhan Huang; Xinlong Feng; Yinnian He (Appl. Math. Comput., 2022)

Semi-implicit, unconditionally energy stable, stabilized finite element method based on multiscale enrichment for the Cahn-Hilliard-Navier-Stokes phase-field model. - Juan Wen; Yinnian He; Ya-Ling He (Comput. Math. Appl., 2022)

Analysis and computation of a pressure-robust method for the rotation form of the incompressible Navier-Stokes equations with high-order finite elements. - Di Yang 005; Yinnian He; Yarong Zhang (Comput. Math. Appl., 2022)

Fully Discrete Finite Element Approximation of the MHD Flow. - Yinnian He; Guo-Dong Zhang; Jun Zou 003 (Comput. Methods Appl. Math., 2022)

Spatiotemporal patterns and bifurcations with degeneration in a symmetry glycolysis model. - Meihua Wei; Yinnian He; Muhammad Azam (Commun. Nonlinear Sci. Numer. Simul., 2022)

Penalty Virtual Element Method for the 3D Incompressible Flow on Polyhedron Mesh. - Lulu Li; Haiyan Su; Yinnian He (Entropy, 2022)

Local tangential lifting virtual element method for the diffusion-reaction equation on the non-flat Voronoi discretized surface. - Jingwei Li; Xinlong Feng; Yinnian He (Eng. Comput., 2022)

Crank-Nicolson extrapolation and finite element method for the Oldroyd fluid with the midpoint rule. - Yingwen Guo; Yinnian He (J. Comput. Appl. Math., 2022)

A strongly conservative finite element method for the coupled Stokes and dual-porosity model. - Jing Wen; Jian Su; Yinnian He; Zhiheng Wang (J. Comput. Appl. Math., 2022)

A Parallel Robin-Robin Domain Decomposition Method based on Modified Characteristic FEMs for the Time-Dependent Dual-porosity-Navier-Stokes Model with the Beavers-Joseph Interface Condition. - Luling Cao; Yinnian He; Jian Li 029 (J. Sci. Comput., 2022)

Uniform Stability and Convergence with Respect to (ν , μ , s, 1-σ ) of the Three Iterative Finite Element Solutions for the 3D Steady MHD Equations. - Yinnian He; Xiaojing Dong; Xinlong Feng (J. Sci. Comput., 2022)

A Stabilized Difference Finite Element Method for the 3D Steady Incompressible Navier-Stokes Equations. - Xiaoli Lu; Pengzhan Huang; Xinlong Feng; Yinnian He (J. Sci. Comput., 2022)

New Optimized Robin-Robin Domain Decomposition Methods using Krylov Solvers for the Stokes-Darcy System. - Yingzhi Liu; Yassine Boubendir; Xiaoming He; Yinnian He (SIAM J. Sci. Comput., 2022)

A second-order Strang splitting scheme with exponential integrating factor for the Allen-Cahn equation with logarithmic Flory-Huggins potential. - Chunya Wu; Xinlong Feng; Yinnian He; Lingzhi Qian (Commun. Nonlinear Sci. Numer. Simul., 2023)

Difference Finite Element Method for the 3D Steady Navier-Stokes Equations. - Xinlong Feng; Xiaoli Lu; Yinnian He (SIAM J. Numer. Anal., 2023)

Finite element method for semi-linear elliptical equation with a 2m - 1 polynomial nonlinearity. - Yarong Zhang; Yinnian He (Comput. Math. Appl., 2023)

A second-order scheme based on blended BDF for the incompressible MHD system. - Shuaijun Liu; Pengzhan Huang; Yinnian He (Adv. Comput. Math., 2023)

The analogue of grad-div stabilization in DG method for a coupled Stokes and Darcy problem. - Jing Wen; Zhangxing Chen; Yinnian He (Comput. Math. Appl., 2023)

Modified Characteristic Finite Element Method with Second-Order Spatial Accuracy for Solving Convection-Dominated Problem on Surfaces. - Longyuan Wu; Xinlong Feng; Yinnian He (Entropy, 2023)

A difference finite element method based on the conforming P1(x,y)×Q1(z,s) element for the 4D Poisson equation. - Yaru Liu; Yinnian He; Dongwoo Sheen; Xinlong Feng (Comput. Math. Appl., 2024)

One- and two-level Arrow-Hurwicz-type iterative algorithms for the stationary Smagorinsky model. - Dan Lai; Pengzhan Huang; Yinnian He (Commun. Nonlinear Sci. Numer. Simul., 2024)

A generalized scalar auxiliary variable approach for the Navier-Stokes-ω/Navier-Stokes-ω equations based on the grad-div stabilization. - Qinghui Wang; Pengzhan Huang; Yinnian He (Commun. Nonlinear Sci. Numer. Simul., 2025)

A difference finite element method based on nonconforming finite element methods for 3D elliptic problems. - Jianjian Song; Dongwoo Sheen; Xinlong Feng; Yinnian He (Adv. Comput. Math., 2025)

Optimal error estimates of penalty difference finite element method for the 3D steady Navier-Stokes equations. - Xinlong Feng; Xiaoli Lu; Yinnian He (Numer. Algorithms, 2025)

A Voigt Regularization for Incompressible MHD Equations in Elsässer Variables. - Xingwei Yang; Pengzhan Huang; Yinnian He (J. Sci. Comput., 2025)

Long-time error estimate and decay of finite element method to a generalized viscoelastic flow. - Yingwen Guo; Yinnian He; Wenlin Qiu; Xiangcheng Zheng (CoRR, 2025)

Numerical analysis of a stabilized difference finite element method for three-dimensional steady incompressible magnetohydrodynamical equations. - Xiaoli Lu; Pengzhan Huang; Xinlong Feng; Yinnian He (J. Comput. Appl. Math., 2026)