Yinnian He

ORCID

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 54

Top Venues

Comput. Math. Appl.

J. Sci. Comput.

J. Comput. Appl. Math.

CoRR

Publications

Yaru Liu, Yinnian He, Dongwoo Sheen, Xinlong Feng
A difference finite element method based on the conforming P1(x,y)×Q1(z,s) element for the 4D Poisson equation. Comput. Math. Appl. 174 (2024)
Dan Lai, Pengzhan Huang, Yinnian He
One- and two-level Arrow-Hurwicz-type iterative algorithms for the stationary Smagorinsky model. Commun. Nonlinear Sci. Numer. Simul. 134 (2024)
Xinlong Feng, Xiaoli Lu, Yinnian He
Difference Finite Element Method for the 3D Steady Navier-Stokes Equations. SIAM J. Numer. Anal. 61 (1) (2023)
Chunya Wu, Xinlong Feng, Yinnian He, Lingzhi Qian
A second-order Strang splitting scheme with exponential integrating factor for the Allen-Cahn equation with logarithmic Flory-Huggins potential. Commun. Nonlinear Sci. Numer. Simul. 117 (2023)
Jing Wen, Zhangxing Chen, Yinnian He
The analogue of grad-div stabilization in DG method for a coupled Stokes and Darcy problem. Comput. Math. Appl. 149 (2023)
Shuaijun Liu, Pengzhan Huang, Yinnian He
A second-order scheme based on blended BDF for the incompressible MHD system. Adv. Comput. Math. 49 (5) (2023)
Longyuan Wu, Xinlong Feng, Yinnian He
Modified Characteristic Finite Element Method with Second-Order Spatial Accuracy for Solving Convection-Dominated Problem on Surfaces. Entropy 25 (12) (2023)
Yarong Zhang, Yinnian He
 - 1 polynomial nonlinearity. Comput. Math. Appl. 139 (2023)
Jingwei Li, Xinlong Feng, Yinnian He
Local tangential lifting virtual element method for the diffusion-reaction equation on the non-flat Voronoi discretized surface. Eng. Comput. 38 (6) (2022)
Yingwen Guo, Yinnian He
Crank-Nicolson extrapolation and finite element method for the Oldroyd fluid with the midpoint rule. J. Comput. Appl. Math. 415 (2022)
Meihua Wei, Yinnian He, Muhammad Azam
Spatiotemporal patterns and bifurcations with degeneration in a symmetry glycolysis model. Commun. Nonlinear Sci. Numer. Simul. 114 (2022)
Juan Wen, Yinnian He, Ya-Ling He
Semi-implicit, unconditionally energy stable, stabilized finite element method based on multiscale enrichment for the Cahn-Hilliard-Navier-Stokes phase-field model. Comput. Math. Appl. 126 (2022)
Xiaoli Lu, Pengzhan Huang, Xinlong Feng, Yinnian He
A stabilized difference finite element method for the 3D steady Stokes equations. Appl. Math. Comput. 430 (2022)
Xiaoli Lu, Pengzhan Huang, Xinlong Feng, Yinnian He
A Stabilized Difference Finite Element Method for the 3D Steady Incompressible Navier-Stokes Equations. J. Sci. Comput. 92 (3) (2022)
Yingzhi Liu, Yassine Boubendir, Xiaoming He, Yinnian He
New Optimized Robin-Robin Domain Decomposition Methods using Krylov Solvers for the Stokes-Darcy System. SIAM J. Sci. Comput. 44 (4) (2022)
Jing Wen, Jian Su, Yinnian He, Zhiheng Wang
A strongly conservative finite element method for the coupled Stokes and dual-porosity model. J. Comput. Appl. Math. 404 (2022)
Di Yang, Yinnian He, Yarong Zhang
Analysis and computation of a pressure-robust method for the rotation form of the incompressible Navier-Stokes equations with high-order finite elements. Comput. Math. Appl. 112 (2022)
Yinnian He, Guo-Dong Zhang, Jun Zou
Fully Discrete Finite Element Approximation of the MHD Flow. Comput. Methods Appl. Math. 22 (2) (2022)
Yinnian He, Xiaojing Dong, Xinlong Feng
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. J. Sci. Comput. 90 (1) (2022)
Luling Cao, Yinnian He, Jian Li
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. J. Sci. Comput. 90 (1) (2022)
Lulu Li, Haiyan Su, Yinnian He
Penalty Virtual Element Method for the 3D Incompressible Flow on Polyhedron Mesh. Entropy 24 (8) (2022)
Luling Cao, Yinnian He, Jian Li, Di Yang
Decoupled modified characteristic FEMs for fully evolutionary Navier-Stokes-Darcy model with the Beavers-Joseph interface condition. J. Comput. Appl. Math. 383 (2021)
Yinnian He, Weizhang Huang
Mesh Sensitivity Analysis for Finite Element Solution of Linear Elliptic Partial Differential Equations. CoRR (2021)
Shuying Zhai, Zhifeng Weng, Xinlong Feng, Yinnian He
Stability and Error Estimate of the Operator Splitting Method for the Phase Field Crystal Equation. J. Sci. Comput. 86 (1) (2021)
Yingzhi Liu, Yinnian He, Xuejian Li, Xiaoming He
A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition. Appl. Math. Lett. 119 (2021)
Gang Wang, Ying Wang, Yinnian He
A weak Galerkin finite element method based on H(div) virtual element for Darcy flow on polytopal meshes. J. Comput. Appl. Math. 398 (2021)
Yinnian He
Finite Element Iterative Methods for the 3D Steady Navier-Stokes Equations. Entropy 23 (12) (2021)
Gang Wang, Feng Wang, Yinnian He
A divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes. Adv. Comput. Math. 47 (6) (2021)
Di Yang, Yinnian He
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. CoRR (2021)
Di Yang, Yinnian He
A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes. Comput. Math. Appl. 97 (2021)
Jing Wen, Yinnian He
A strongly conservative finite element method for the coupled Stokes-Biot Model. Comput. Math. Appl. 80 (5) (2020)
Gang Wang, Ying Wang, Yinnian He
A Posteriori Error Estimates for the Virtual Element Method for the Stokes Problem. J. Sci. Comput. 84 (2) (2020)
Leilei Wei, Yinnian He
A fully discrete local discontinuous Galerkin method with the generalized numerical flux to solve the tempered fractional reaction-diffusion equation. CoRR (2020)
Jing Wen, Jian Su, Yinnian He, Hongbin Chen
A Discontinuous Galerkin Method for the Coupled Stokes and Darcy Problem. J. Sci. Comput. 85 (2) (2020)
Lingzhi Qian, Xinlong Feng, Yinnian He
Crank-Nicolson Leap-Frog Time Stepping Decoupled Scheme for the Fluid-Fluid Interaction Problems. J. Sci. Comput. 84 (1) (2020)
Xiaojing Dong, Yinnian He
A parallel finite element method for incompressible magnetohydrodynamics equations. Appl. Math. Lett. 102 (2020)
Yingzhi Liu, Yinnian He
Two-Level Schwarz Methods for a Discontinuous Galerkin Approximation of Elliptic Problems with Jump Coefficients. J. Sci. Comput. 84 (1) (2020)
Cheng Liao, Pengzhan Huang, Yinnian He
A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem. J. Num. Math. 28 (1) (2020)
Luling Cao, Yinnian He, Jian Li
Decoupled Modified Characteristic Finite Element Method with Different Subdomain Time Steps for Nonstationary Dual-Porosity-Navier-Stokes Model. CoRR (2020)
Di Yang, Yinnian He
A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes. CoRR (2020)
Jinjin Yang, Yinnian He
Stability and convergence of semi-implicit time-stepping algorithm for stationary incompressible magnetohydrodynamics. Comput. Math. Appl. 77 (5) (2019)
Xufeng Xiao, Xinlong Feng, Yinnian He
Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method. Comput. Math. Appl. 78 (1) (2019)
Yarong Zhang, Yinnian He, Hongbin Chen
Boundary element method for a free third boundary problem modeling tumor growth with spectral accuracy. J. Comput. Appl. Math. 345 (2019)
Juan Wen, Yinnian He
A new multiscale finite element method for the 2D transient Navier-Stokes equations. Int. J. Comput. Math. 96 (7) (2019)
Yarong Zhang, Yinnian He
Stability and convergence of a finite element method for a semilinear elliptical problem with small viscosity. Comput. Math. Appl. 78 (10) (2019)
Zhihao Ge, Zhen Guan, Yinnian He
Fully discrete stabilized multiphysics finite element method for the polymer gel model. Comput. Math. Appl. 76 (2) (2018)
Gang Wang, Yinnian He, Jinjin Yang
Weak Galerkin Finite Element Methods for the Simulation of Single-Phase Flow in Fractured Porous Media. J. Sci. Comput. 76 (2) (2018)
Yingwen Guo, Yinnian He
Unconditional convergence and optimal L2 error estimates of the Crank-Nicolson extrapolation FEM for the nonstationary Navier-Stokes equations. Comput. Math. Appl. 75 (1) (2018)
Xiaojing Dong, Yinnian He, Hongbo Wei, Yuhong Zhang
Local and parallel finite element algorithm based on the partition of unity method for the incompressible MHD flow. Adv. Comput. Math. 44 (4) (2018)
Xiaojing Dong, Yinnian He
Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics. Comput. Math. Appl. 76 (11) (2018)
Yarong Zhang, Yinnian He, Hongbin Chen
Boundary element method for a free boundary problem modeling three dimensional tumor growth. Comput. Math. Appl. 73 (7) (2017)
Pengzhan Huang, Yinnian He, Xinlong Feng
Second order time-space iterative method for the stationary Navier-Stokes equations. Appl. Math. Lett. 59 (2016)
Yinnian He, Weizhang Huang
A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes. J. Comput. Appl. Math. 299 (2016)
Yinnian He, Yan Zhang, Hui Xu, Zhangxin Chen
First-Order Decoupled Finite Element Method of the three-Dimensional Primitive Equations of the Ocean. SIAM J. Sci. Comput. 38 (1) (2016)
Yinnian He, Pengzhan Huang, Xinlong Feng
$$H^2$$ H 2 -Stability of the First Order Fully Discrete Schemes for the Time-Dependent Navier-Stokes Equations. J. Sci. Comput. 62 (1) (2015)
Pengzhan Huang, Xinlong Feng, Yinnian He
An efficient two-step algorithm for the incompressible flow problem. Adv. Comput. Math. 41 (6) (2015)
Guo-Dong Zhang, Yan Zhang, Yinnian He
Two-Level Coupled and Decoupled Parallel Correction Methods for Stationary Incompressible Magnetohydrodynamics. J. Sci. Comput. 65 (3) (2015)
Guo-Dong Zhang, Yinnian He
Decoupled schemes for unsteady MHD equations II: Finite element spatial discretization and numerical implementation. Comput. Math. Appl. 69 (12) (2015)
Xiaojing Dong, Yinnian He
Two-Level Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics. J. Sci. Comput. 63 (2) (2015)
Juan Wen, Yinnian He
Convergence analysis of a new multiscale finite element method for the stationary Navier-Stokes problem. Comput. Math. Appl. 67 (1) (2014)
Shuying Zhai, Xinlong Feng, Yinnian He
A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation. Appl. Math. Comput. 230 (2014)
Shuying Zhai, Xinlong Feng, Yinnian He
An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. J. Comput. Phys. 269 (2014)
Guo-Dong Zhang, Yinnian He, Di Yang
Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain. Comput. Math. Appl. 68 (7) (2014)
Shuying Zhai, Xinlong Feng, Yinnian He
Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method. Comput. Phys. Commun. 185 (10) (2014)
Xindong Zhang, Yinnian He, Leilei Wei, Bo Tang, Shaoli Wang
A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher's equation. Int. J. Comput. Math. 91 (9) (2014)
Hui Xu, Yinnian He
Some iterative finite element methods for steady Navier-Stokes equations with different viscosities. J. Comput. Phys. 232 (1) (2013)
Yinnian He
Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations. Numerische Mathematik 123 (1) (2013)
Juan Wen, Yinnian He, Jianhong Yang
Multiscale enrichment of a finite volume element method for the stationary Navier-Stokes problem. Int. J. Comput. Math. 90 (9) (2013)
Xindong Zhang, Juan Liu, Juan Wen, Bo Tang, Yinnian He
Analysis for one-dimensional time-fractional Tricomi-type equations by LDG methods. Numer. Algorithms 63 (1) (2013)
Shuying Zhai, Xinlong Feng, Yinnian He
A Family of Fourth-Order and Sixth-Order Compact Difference Schemes for the Three-Dimensional Poisson Equation. J. Sci. Comput. 54 (1) (2013)
Yinnian He, Yan Zhang, Hui Xu
Two-Level Newton's Method for Nonlinear Elliptic PDEs. J. Sci. Comput. 57 (1) (2013)
Jian Li, Zhangxin Chen, Yinnian He
A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations. Numerische Mathematik 122 (2) (2012)
Tong Zhang, Yinnian He
Fully discrete finite element method based on pressure stabilization for the transient Stokes equations. Math. Comput. Simul. 82 (8) (2012)
Xinlong Feng, Rongfei Li, Yinnian He, Demin Liu
P 1-Nonconforming Quadrilateral Finite Volume Methods for the Semilinear Elliptic Equations. J. Sci. Comput. 52 (3) (2012)
Zhiyong Si, Yinnian He, Tong Zhang
A defect-correction method for unsteady conduction-convection problems II: Time discretization. J. Comput. Appl. Math. 236 (9) (2012)
Kun Wang, Yinnian He
Convergence analysis for a higher order scheme for the time-dependent Navier-Stokes equations. Appl. Math. Comput. 218 (17) (2012)
Yinnian He, Jian Li
Numerical comparisons of time-space iterative method and spatial iterative methods for the stationary Navier-Stokes equations. J. Comput. Phys. 231 (20) (2012)
Xindong Zhang, Bo Tang, Yinnian He
Homotopy analysis method for higher-order fractional integro-differential equations. Comput. Math. Appl. 62 (8) (2011)
Kun Wang, Yinnian He, Xinlong Feng
On error estimates of the fully discrete penalty method for the viscoelastic flow problem. Int. J. Comput. Math. 88 (10) (2011)
Long Shao, Xinlong Feng, Yinnian He
The local discontinuous Galerkin finite element method for Burger's equation. Math. Comput. Model. 54 (11-12) (2011)
Xinlong Feng, Yinnian He
Modified homotopy perturbation method for solving the Stokes equations. Comput. Math. Appl. 61 (8) (2011)
Yan Zhang, Yinnian He
Assessment of subgrid-scale models for the incompressible Navier-Stokes equations. J. Comput. Appl. Math. 234 (2) (2010)
Yinnian He, Liquan Mei, Yueqiang Shang, Juan Cui
Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations. J. Sci. Comput. 44 (1) (2010)
Xiaobing Feng, Yinnian He
Fully Discrete Finite Element Approximations of a Polymer Gel Model. SIAM J. Numer. Anal. 48 (6) (2010)
Yinnian He, Jian Li
A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations. J. Comput. Appl. Math. 235 (3) (2010)
Zhiyong Si, Yinnian He
A coupled Newton iterative mixed finite element method for stationary conduction-convection problems. Computing 89 (1-2) (2010)
Tong Zhang, Yinnian He
Blow-up and global solutions for a class of nonlinear parabolic equations with different kinds of boundary conditions. Appl. Math. Comput. 217 (2) (2010)
Kun Wang, Minfu Feng, Yinnian He
Two-level stabilized finite element method for the transient Navier-Stokes equations. Int. J. Comput. Math. 87 (10) (2010)
Yan Zhang, Yinnian He
A Subgrid Model for the Time-Dependent Navier-Stokes Equations. Adv. Numer. Anal. 2009 (2009)
Jian Li, Yinnian He, Zhangxin Chen
Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs. Computing 86 (1) (2009)
Xinlong Feng, Yinnian He, Jixiang Meng
Application of modified homotopy perturbation method for solving the augmented systems. J. Comput. Appl. Math. 231 (1) (2009)
Zhihao Ge, Minfu Feng, Yinnian He
A stabilized nonconfirming finite element method based on multiscale enrichment for the stationary Navier-Stokes equations. Appl. Math. Comput. 202 (2) (2008)
Xinlong Feng, Yinnian He, Zhinan Zhang
The numerical rank of a matrix and its applications. Appl. Math. Comput. 196 (1) (2008)
Yinnian He
The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data. Math. Comput. 77 (264) (2008)
Tong Zhang, Hanchun Yang, Yinnian He
Interactions between two rarefaction waves for the pressure-gradient equations in the gas dynamics. Appl. Math. Comput. 199 (1) (2008)
Yinnian He, Jinchao Xu, Aihui Zhou, Jian Li
Local and parallel finite element algorithms for the stokes problem. Numerische Mathematik 109 (3) (2008)
Xiaobing Feng, Yinnian He, Chun Liu
Analysis of finite element approximations of a phase field model for two-phase fluids. Math. Comput. 76 (258) (2007)
Yinnian He, Weiwei Sun
Stability and Convergence of the Crank-Nicolson/Adams-Bashforth scheme for the Time-Dependent Navier-Stokes Equations. SIAM J. Numer. Anal. 45 (2) (2007)
Xinlong Feng, Yinnian He
High order iterative methods without derivatives for solving nonlinear equations. Appl. Math. Comput. 186 (2) (2007)
Yinnian He, Weiwei Sun
Stabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equations. Math. Comput. 76 (257) (2007)

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Publication Activity (10 Years)

Top Topics

Top Venues

Yinnian He