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2020 – today
- 2025
[j110]Qinghui Wang, Pengzhan Huang
, Yinnian He:
A generalized scalar auxiliary variable approach for the Navier-Stokes-ω/Navier-Stokes-ω equations based on the grad-div stabilization. Commun. Nonlinear Sci. Numer. Simul. 140: 108329 (2025)- 2024
- [j109]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: 18-30 (2024) - [j108]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: 108001 (2024) - 2023
- [j107]Shuaijun Liu, Pengzhan Huang, Yinnian He:
A second-order scheme based on blended BDF for the incompressible MHD system. Adv. Comput. Math. 49(5): 74 (2023) - [j106]Yarong Zhang, Yinnian He:
Finite element method for semi-linear elliptical equation with a 2m - 1 polynomial nonlinearity. Comput. Math. Appl. 139: 91-98 (2023) - [j105]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: 99-114 (2023) - [j104]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: 106983 (2023) - [j103]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): 1631 (2023) - [j102]Xinlong Feng, Xiaoli Lu, Yinnian He:
Difference Finite Element Method for the 3D Steady Navier-Stokes Equations. SIAM J. Numer. Anal. 61(1): 167-193 (2023) - 2022
- [j101]Xiaoli Lu, Pengzhan Huang, Xinlong Feng, Yinnian He:
A stabilized difference finite element method for the 3D steady Stokes equations. Appl. Math. Comput. 430: 127270 (2022) - [j100]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: 1-22 (2022) - [j99]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: 172-181 (2022) - [j98]Yinnian He, Guo-Dong Zhang, Jun Zou:
Fully Discrete Finite Element Approximation of the MHD Flow. Comput. Methods Appl. Math. 22(2): 357-388 (2022) - [j97]Meihua Wei, Yinnian He, Muhammad Azam:
Spatiotemporal patterns and bifurcations with degeneration in a symmetry glycolysis model. Commun. Nonlinear Sci. Numer. Simul. 114: 106644 (2022) - [j96]Lulu Li, Haiyan Su, Yinnian He:
Penalty Virtual Element Method for the 3D Incompressible Flow on Polyhedron Mesh. Entropy 24(8): 1129 (2022) - [j95]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): 5297-5307 (2022) - [j94]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: 113879 (2022) - [j93]Yingwen Guo, Yinnian He:
Crank-Nicolson extrapolation and finite element method for the Oldroyd fluid with the midpoint rule. J. Comput. Appl. Math. 415: 114453 (2022) - [j92]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): 16 (2022) - [j91]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): 17 (2022) - [j90]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): 104 (2022) - [j89]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): 1068- (2022) - 2021
- [j88]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): 83 (2021) - [j87]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: 107181 (2021) - [j86]Di Yang, Yinnian He:
A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes. Comput. Math. Appl. 97: 175-206 (2021) - [j85]Yinnian He:
Finite Element Iterative Methods for the 3D Steady Navier-Stokes Equations. Entropy 23(12): 1659 (2021) - [j84]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: 113128 (2021) - [j83]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: 113677 (2021) - [j82]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): 8 (2021) - [i5]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 abs/2109.03002 (2021) - [i4]Yinnian He, Weizhang Huang:
Mesh Sensitivity Analysis for Finite Element Solution of Linear Elliptic Partial Differential Equations. CoRR abs/2111.10935 (2021) - 2020
- [j81]Xiaojing Dong, Yinnian He:
A parallel finite element method for incompressible magnetohydrodynamics equations. Appl. Math. Lett. 102: 106076 (2020) - [j80]Jing Wen, Yinnian He:
A strongly conservative finite element method for the coupled Stokes-Biot Model. Comput. Math. Appl. 80(5): 1421-1442 (2020) - [j79]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): 33-62 (2020) - [j78]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): 4 (2020) - [j77]Yingzhi Liu, Yinnian He:
Two-Level Schwarz Methods for a Discontinuous Galerkin Approximation of Elliptic Problems with Jump Coefficients. J. Sci. Comput. 84(1): 14 (2020) - [j76]Gang Wang, Ying Wang, Yinnian He:
A Posteriori Error Estimates for the Virtual Element Method for the Stokes Problem. J. Sci. Comput. 84(2): 37 (2020) - [j75]Jing Wen, Jian Su, Yinnian He, Hongbin Chen:
A Discontinuous Galerkin Method for the Coupled Stokes and Darcy Problem. J. Sci. Comput. 85(2): 26 (2020) - [i3]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 abs/2001.00169 (2020) - [i2]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 abs/2008.07736 (2020) - [i1]Di Yang, Yinnian He:
A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes. CoRR abs/2012.13532 (2020)
2010 – 2019
- 2019
- [j74]Jinjin Yang, Yinnian He:
Stability and convergence of semi-implicit time-stepping algorithm for stationary incompressible magnetohydrodynamics. Comput. Math. Appl. 77(5): 1376-1395 (2019) - [j73]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): 20-34 (2019) - [j72]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): 3363-3374 (2019) - [j71]Juan Wen, Yinnian He:
A new multiscale finite element method for the 2D transient Navier-Stokes equations. Int. J. Comput. Math. 96(7): 1377-1397 (2019) - [j70]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: 434-451 (2019) - 2018
- [j69]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): 1295-1319 (2018) - [j68]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): 134-152 (2018) - [j67]Zhihao Ge, Zhen Guan, Yinnian He:
Fully discrete stabilized multiphysics finite element method for the polymer gel model. Comput. Math. Appl. 76(2): 393-405 (2018) - [j66]Xiaojing Dong, Yinnian He:
Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics. Comput. Math. Appl. 76(11): 2678-2700 (2018) - [j65]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): 1274-1300 (2018) - 2017
- [j64]Yarong Zhang, Yinnian He, Hongbin Chen:
Boundary element method for a free boundary problem modeling three dimensional tumor growth. Comput. Math. Appl. 73(7): 1627-1641 (2017) - 2016
- [j63]Pengzhan Huang, Yinnian He, Xinlong Feng:
Second order time-space iterative method for the stationary Navier-Stokes equations. Appl. Math. Lett. 59: 79-86 (2016) - [j62]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: 101-126 (2016) - [j61]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) - 2015
- [j60]Pengzhan Huang, Xinlong Feng, Yinnian He:
An efficient two-step algorithm for the incompressible flow problem. Adv. Comput. Math. 41(6): 1059-1077 (2015) - [j59]Guo-Dong Zhang, Yinnian He:
Decoupled schemes for unsteady MHD equations II: Finite element spatial discretization and numerical implementation. Comput. Math. Appl. 69(12): 1390-1406 (2015) - [j58]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): 230-264 (2015) - [j57]Xiaojing Dong, Yinnian He:
Two-Level Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics. J. Sci. Comput. 63(2): 426-451 (2015) - [j56]Guo-Dong Zhang, Yan Zhang, Yinnian He:
Two-Level Coupled and Decoupled Parallel Correction Methods for Stationary Incompressible Magnetohydrodynamics. J. Sci. Comput. 65(3): 920-939 (2015) - 2014
- [j55]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: 9-26 (2014) - [j54]Juan Wen, Yinnian He:
Convergence analysis of a new multiscale finite element method for the stationary Navier-Stokes problem. Comput. Math. Appl. 67(1): 1-25 (2014) - [j53]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): 770-788 (2014) - [j52]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): 2449-2455 (2014) - [j51]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): 2021-2038 (2014) - [j50]Shuying Zhai, Xinlong Feng, Yinnian He:
An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. J. Comput. Phys. 269: 138-155 (2014) - 2013
- [j49]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): 1938-1957 (2013) - [j48]Hui Xu, Yinnian He:
Some iterative finite element methods for steady Navier-Stokes equations with different viscosities. J. Comput. Phys. 232(1): 136-152 (2013) - [j47]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): 97-120 (2013) - [j46]Yinnian He, Yan Zhang, Hui Xu:
Two-Level Newton's Method for Nonlinear Elliptic PDEs. J. Sci. Comput. 57(1): 124-145 (2013) - [j45]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): 143-164 (2013) - [j44]Yinnian He:
Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations. Numerische Mathematik 123(1): 67-96 (2013) - 2012
- [j43]Kun Wang, Yinnian He:
Convergence analysis for a higher order scheme for the time-dependent Navier-Stokes equations. Appl. Math. Comput. 218(17): 8269-8278 (2012) - [j42]Zhiyong Si, Yinnian He, Tong Zhang:
A defect-correction method for unsteady conduction-convection problems II: Time discretization. J. Comput. Appl. Math. 236(9): 2553-2573 (2012) - [j41]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): 6790-6800 (2012) - [j40]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): 519-545 (2012) - [j39]Tong Zhang, Yinnian He:
Fully discrete finite element method based on pressure stabilization for the transient Stokes equations. Math. Comput. Simul. 82(8): 1496-1515 (2012) - [j38]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): 279-304 (2012) - 2011
- [j37]Xinlong Feng, Yinnian He:
Modified homotopy perturbation method for solving the Stokes equations. Comput. Math. Appl. 61(8): 2262-2266 (2011) - [j36]Xindong Zhang, Bo Tang, Yinnian He:
Homotopy analysis method for higher-order fractional integro-differential equations. Comput. Math. Appl. 62(8): 3194-3203 (2011) - [j35]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): 2199-2220 (2011) - [j34]Long Shao, Xinlong Feng, Yinnian He:
The local discontinuous Galerkin finite element method for Burger's equation. Math. Comput. Model. 54(11-12): 2943-2954 (2011) - 2010
- [j33]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): 801-810 (2010) - [j32]Zhiyong Si, Yinnian He:
A coupled Newton iterative mixed finite element method for stationary conduction-convection problems. Computing 89(1-2): 1-25 (2010) - [j31]Kun Wang, Minfu Feng, Yinnian He:
Two-level stabilized finite element method for the transient Navier-Stokes equations. Int. J. Comput. Math. 87(10): 2341-2360 (2010) - [j30]Yan Zhang, Yinnian He:
Assessment of subgrid-scale models for the incompressible Navier-Stokes equations. J. Comput. Appl. Math. 234(2): 593-604 (2010) - [j29]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): 708-725 (2010) - [j28]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): 92-106 (2010) - [j27]Xiaobing Feng, Yinnian He:
Fully Discrete Finite Element Approximations of a Polymer Gel Model. SIAM J. Numer. Anal. 48(6): 2186-2217 (2010)
2000 – 2009
- 2009
- [j26]Yan Zhang, Yinnian He:
A Subgrid Model for the Time-Dependent Navier-Stokes Equations. Adv. Numer. Anal. 2009: 494829:1-494829:20 (2009) - [j25]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): 37-51 (2009) - [j24]Xinlong Feng, Yinnian He, Jixiang Meng:
Application of modified homotopy perturbation method for solving the augmented systems. J. Comput. Appl. Math. 231(1): 288-301 (2009) - 2008
- [j23]Xinlong Feng, Yinnian He, Zhinan Zhang:
The numerical rank of a matrix and its applications. Appl. Math. Comput. 196(1): 416-421 (2008) - [j22]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): 231-241 (2008) - [j21]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): 700-707 (2008) - [j20]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): 2097-2124 (2008) - [j19]Yinnian He, Jinchao Xu, Aihui Zhou, Jian Li:
Local and parallel finite element algorithms for the stokes problem. Numerische Mathematik 109(3): 415-434 (2008) - 2007
- [j18]Xinlong Feng, Yinnian He:
High order iterative methods without derivatives for solving nonlinear equations. Appl. Math. Comput. 186(2): 1617-1623 (2007) - [j17]Lingyu Song, Yinnian He, Zhihao Ge:
Stability and bifurcation for a kind of nonlinear delayed differential equations. Appl. Math. Comput. 190(1): 677-685 (2007) - [j16]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): 115-136 (2007) - [j15]Xiaobing Feng, Yinnian He, Chun Liu:
Analysis of finite element approximations of a phase field model for two-phase fluids. Math. Comput. 76(258): 539-571 (2007) - [j14]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): 837-869 (2007) - 2006
- [j13]Yinnian He, Kam-Moon Liu:
Multi-level spectral Galerkin method for the Navier-Stokes equations, II: time discretization. Adv. Comput. Math. 25(4): 403-433 (2006) - [j12]Yinnian He:
Stokes coupling method for the exterior flow Part IV: stabilized finite element approximation. Appl. Math. Comput. 172(2): 1225-1238 (2006) - [j11]Xinlong Feng, Yinnian He:
Parametric iterative methods of second-order for solving nonlinear equation. Appl. Math. Comput. 173(2): 1060-1067 (2006) - [j10]Jian Li, Liquan Mei, Yinnian He:
A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition. Appl. Math. Comput. 182(1): 24-35 (2006) - [j9]Yinnian He:
Retraction to "Asymptotic behavior of the Navier-Stokes flow in a general 2D domain" [Appl. Math. Lett 18 (2005) 1170-1176]. Appl. Math. Lett. 19(8): 840 (2006) - 2005
- [j8]Xiaolin Zhou, Yinnian He:
Using divergence free wavelets for the numerical solution of the 2-D stationary Navier-Stokes equations. Appl. Math. Comput. 163(2): 593-607 (2005) - [j7]Yinnian He, Kaitai Li:
Two-level Stabilized Finite Element Methods for the Steady Navier-Stokes Problem. Computing 74(4): 337-351 (2005) - [j6]Yinnian He:
Optimal error estimate of the penalty finite element method for the time-dependent Navier-Stokes equations. Math. Comput. 74(251): 1201-1216 (2005) - [j5]Yinnian He, Kam-Moon Liu, Weiwei Sun:
Multi-level spectral galerkin method for the navier-stokes problem I : spatial discretization. Numerische Mathematik 101(3): 501-522 (2005) - 2004
- [j4]Dongsheng Li, Yinnian He:
A conjecture on fixed-point indices of mappings in cones. Appl. Math. Lett. 17(1): 25-30 (2004) - [j3]Yinnian He, Huanling Miao,