Yinnian He - RankMe

126 papers Journal 126

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A pressure projection algorithm based on modular grad-div stabilization for the nonlinear fluid-fluid interaction problem. Commun. Nonlinear Sci. Numer. Simul. Binchang Huo, Pengzhan Huang, Yinnian He
2026	J	`jnl`	A second-order incremental pressure-correction scheme with modular grad-div stabilization for the incompressible Navier-Stokes equations. Commun. Nonlinear Sci. Numer. Simul. Xiaoli Lu, Yinnian He, Pengzhan Huang
2026	J	`jnl`	Fully-discrete virtual element method with exact stress symmetry for the viscoelasticity problem on polygonal meshes. Commun. Nonlinear Sci. Numer. Simul. Gang Wang, Ying Wang, Xiaojing Dong, Yinnian He
2026	J	`jnl`	Numerical analysis of a stabilized difference finite element method for three-dimensional steady incompressible magnetohydrodynamical equations. J. Comput. Appl. Math. Xiaoli Lu, Pengzhan Huang, Xinlong Feng, Yinnian He
2026	J	`jnl`	Optimal error estimate of a linearized FEM based on the Lagrange multiplier approach for the Landau-Lifshitz equation. Math. Comput. Simul. Xingwei Yang, Pengzhan Huang, Yinnian He
2026	J	`jnl`	Stability and convergence of a variable time step scheme for Rosensweig's ferrohydrodynamics equations. Commun. Nonlinear Sci. Numer. Simul. Aytura Keram, Pengzhan Huang, Yinnian He
2025	J	`jnl`	A Voigt Regularization for Incompressible MHD Equations in Elsässer Variables. J. Sci. Comput. Xingwei Yang, Pengzhan Huang, Yinnian He
2025	J	`jnl`	A difference finite element method based on nonconforming finite element methods for 3D elliptic problems. Adv. Comput. Math. Jianjian Song, Dongwoo Sheen, Xinlong Feng, Yinnian He
2025	J	`jnl`	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. Qinghui Wang, Pengzhan Huang, Yinnian He
2025	J	`jnl`	Long-time error estimate and decay of finite element method to a generalized viscoelastic flow. CoRR Yingwen Guo, Yinnian He, Wenlin Qiu, Xiangcheng Zheng
2025	J	`jnl`	Optimal error estimates of penalty difference finite element method for the 3D steady Navier-Stokes equations. Numer. Algorithms Xinlong Feng, Xiaoli Lu, Yinnian He
2025	J	`jnl`	Stabilized Radial Basis Function Finite Difference Schemes with Mass Conservation for the Cahn-Hilliard Equation on Surfaces. Entropy Jinwei Qiao, Yuanyang Qiao, Yinnian He
2024	J	`jnl`	A difference finite element method based on the conforming P1(x,y)×Q1(z,s) element for the 4D Poisson equation. Comput. Math. Appl. Yaru Liu, Yinnian He, Dongwoo Sheen, Xinlong Feng
2024	J	`jnl`	One- and two-level Arrow-Hurwicz-type iterative algorithms for the stationary Smagorinsky model. Commun. Nonlinear Sci. Numer. Simul. Dan Lai, Pengzhan Huang, Yinnian He
2023	J	`jnl`	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. Chunya Wu, Xinlong Feng, Yinnian He, Lingzhi Qian
2023	J	`jnl`	A second-order scheme based on blended BDF for the incompressible MHD system. Adv. Comput. Math. Shuaijun Liu, Pengzhan Huang, Yinnian He
2023	J	`jnl`	Difference Finite Element Method for the 3D Steady Navier-Stokes Equations. SIAM J. Numer. Anal. Xinlong Feng, Xiaoli Lu, Yinnian He
2023	J	`jnl`	Finite element method for semi-linear elliptical equation with a 2 Comput. Math. Appl. Yarong Zhang, Yinnian He
2023	J	`jnl`	Modified Characteristic Finite Element Method with Second-Order Spatial Accuracy for Solving Convection-Dominated Problem on Surfaces. Entropy Longyuan Wu, Xinlong Feng, Yinnian He
2023	J	`jnl`	The analogue of grad-div stabilization in DG method for a coupled Stokes and Darcy problem. Comput. Math. Appl. Jing Wen, Zhangxing Chen, Yinnian He
2022	J	`jnl`	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. Luling Cao, Yinnian He, Jian Li
2022	J	`jnl`	A Stabilized Difference Finite Element Method for the 3D Steady Incompressible Navier-Stokes Equations. J. Sci. Comput. Xiaoli Lu, Pengzhan Huang, Xinlong Feng, Yinnian He
2022	J	`jnl`	A stabilized difference finite element method for the 3D steady Stokes equations. Appl. Math. Comput. Xiaoli Lu, Pengzhan Huang, Xinlong Feng, Yinnian He
2022	J	`jnl`	A strongly conservative finite element method for the coupled Stokes and dual-porosity model. J. Comput. Appl. Math. Jing Wen, Jian Su, Yinnian He, Zhiheng Wang
2022	J	`jnl`	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. Di Yang, Yinnian He, Yarong Zhang
2022	J	`jnl`	Crank-Nicolson extrapolation and finite element method for the Oldroyd fluid with the midpoint rule. J. Comput. Appl. Math. Yingwen Guo, Yinnian He
2022	J	`jnl`	Fully Discrete Finite Element Approximation of the MHD Flow. Comput. Methods Appl. Math. Yinnian He, Guo-Dong Zhang, Jun Zou
2022	J	`jnl`	Local tangential lifting virtual element method for the diffusion-reaction equation on the non-flat Voronoi discretized surface. Eng. Comput. Jingwei Li, Xinlong Feng, Yinnian He
2022	J	`jnl`	New Optimized Robin-Robin Domain Decomposition Methods using Krylov Solvers for the Stokes-Darcy System. SIAM J. Sci. Comput. Yingzhi Liu, Yassine Boubendir, Xiaoming He, Yinnian He
2022	J	`jnl`	Penalty Virtual Element Method for the 3D Incompressible Flow on Polyhedron Mesh. Entropy Lulu Li, Haiyan Su, Yinnian He
2022	J	`jnl`	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. Juan Wen, Yinnian He, Ya-Ling He
2022	J	`jnl`	Spatiotemporal patterns and bifurcations with degeneration in a symmetry glycolysis model. Commun. Nonlinear Sci. Numer. Simul. Meihua Wei, Yinnian He, Muhammad Azam
2022	J	`jnl`	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. Yinnian He, Xiaojing Dong, Xinlong Feng
2021	J	`jnl`	A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes. Comput. Math. Appl. Di Yang, Yinnian He
2021	J	`jnl`	A divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes. Adv. Comput. Math. Gang Wang, Feng Wang, Yinnian He
2021	J	`jnl`	A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition. Appl. Math. Lett. Yingzhi Liu, Yinnian He, Xuejian Li, Xiaoming He
2021	J	`jnl`	A weak Galerkin finite element method based on H(div) virtual element for Darcy flow on polytopal meshes. J. Comput. Appl. Math. Gang Wang, Ying Wang, Yinnian He
2021	J	`jnl`	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 Di Yang, Yinnian He
2021	J	`jnl`	Decoupled modified characteristic FEMs for fully evolutionary Navier-Stokes-Darcy model with the Beavers-Joseph interface condition. J. Comput. Appl. Math. Luling Cao, Yinnian He, Jian Li, Di Yang
2021	J	`jnl`	Finite Element Iterative Methods for the 3D Steady Navier-Stokes Equations. Entropy Yinnian He
2021	J	`jnl`	Mesh Sensitivity Analysis for Finite Element Solution of Linear Elliptic Partial Differential Equations. CoRR Yinnian He, Weizhang Huang
2021	J	`jnl`	Stability and Error Estimate of the Operator Splitting Method for the Phase Field Crystal Equation. J. Sci. Comput. Shuying Zhai, Zhifeng Weng, Xinlong Feng, Yinnian He
2020	J	`jnl`	A Discontinuous Galerkin Method for the Coupled Stokes and Darcy Problem. J. Sci. Comput. Jing Wen, Jian Su, Yinnian He, Hongbin Chen
2020	J	`jnl`	A Posteriori Error Estimates for the Virtual Element Method for the Stokes Problem. J. Sci. Comput. Gang Wang, Ying Wang, Yinnian He
2020	J	`jnl`	A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem. J. Num. Math. Cheng Liao, Pengzhan Huang, Yinnian He
2020	J	`jnl`	A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes. CoRR Di Yang, Yinnian He
2020	J	`jnl`	A fully discrete local discontinuous Galerkin method with the generalized numerical flux to solve the tempered fractional reaction-diffusion equation. CoRR Leilei Wei, Yinnian He
2020	J	`jnl`	A parallel finite element method for incompressible magnetohydrodynamics equations. Appl. Math. Lett. Xiaojing Dong, Yinnian He
2020	J	`jnl`	A strongly conservative finite element method for the coupled Stokes-Biot Model. Comput. Math. Appl. Jing Wen, Yinnian He
2020	J	`jnl`	Crank-Nicolson Leap-Frog Time Stepping Decoupled Scheme for the Fluid-Fluid Interaction Problems. J. Sci. Comput. Lingzhi Qian, Xinlong Feng, Yinnian He
2020	J	`jnl`	Decoupled Modified Characteristic Finite Element Method with Different Subdomain Time Steps for Nonstationary Dual-Porosity-Navier-Stokes Model. CoRR Luling Cao, Yinnian He, Jian Li
2020	J	`jnl`	Two-Level Schwarz Methods for a Discontinuous Galerkin Approximation of Elliptic Problems with Jump Coefficients. J. Sci. Comput. Yingzhi Liu, Yinnian He
2019	J	`jnl`	A new multiscale finite element method for the 2D transient Navier-Stokes equations. Int. J. Comput. Math. Juan Wen, Yinnian He
2019	J	`jnl`	Boundary element method for a free third boundary problem modeling tumor growth with spectral accuracy. J. Comput. Appl. Math. Yarong Zhang, Yinnian He, Hongbin Chen
2019	J	`jnl`	Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method. Comput. Math. Appl. Xufeng Xiao, Xinlong Feng, Yinnian He
2019	J	`jnl`	Stability and convergence of a finite element method for a semilinear elliptical problem with small viscosity. Comput. Math. Appl. Yarong Zhang, Yinnian He
2019	J	`jnl`	Stability and convergence of semi-implicit time-stepping algorithm for stationary incompressible magnetohydrodynamics. Comput. Math. Appl. Jinjin Yang, Yinnian He
2018	J	`jnl`	Fully discrete stabilized multiphysics finite element method for the polymer gel model. Comput. Math. Appl. Zhihao Ge, Zhen Guan, Yinnian He
2018	J	`jnl`	Local and parallel finite element algorithm based on the partition of unity method for the incompressible MHD flow. Adv. Comput. Math. Xiaojing Dong, Yinnian He, Hongbo Wei, Yuhong Zhang
2018	J	`jnl`	Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics. Comput. Math. Appl. Xiaojing Dong, Yinnian He
2018	J	`jnl`	Unconditional convergence and optimal L2 error estimates of the Crank-Nicolson extrapolation FEM for the nonstationary Navier-Stokes equations. Comput. Math. Appl. Yingwen Guo, Yinnian He
2018	J	`jnl`	Weak Galerkin Finite Element Methods for the Simulation of Single-Phase Flow in Fractured Porous Media. J. Sci. Comput. Gang Wang, Yinnian He, Jinjin Yang
2017	J	`jnl`	Boundary element method for a free boundary problem modeling three dimensional tumor growth. Comput. Math. Appl. Yarong Zhang, Yinnian He, Hongbin Chen
2016	J	`jnl`	A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes. J. Comput. Appl. Math. Yinnian He, Weizhang Huang
2016	J	`jnl`	First-Order Decoupled Finite Element Method of the three-Dimensional Primitive Equations of the Ocean. SIAM J. Sci. Comput. Yinnian He, Yan Zhang, Hui Xu, Zhangxin Chen
2016	J	`jnl`	Second order time-space iterative method for the stationary Navier-Stokes equations. Appl. Math. Lett. Pengzhan Huang, Yinnian He, Xinlong Feng
2015	J	`jnl`	$$H^2$$ H 2 -Stability of the First Order Fully Discrete Schemes for the Time-Dependent Navier-Stokes Equations. J. Sci. Comput. Yinnian He, Pengzhan Huang, Xinlong Feng
2015	J	`jnl`	An efficient two-step algorithm for the incompressible flow problem. Adv. Comput. Math. Pengzhan Huang, Xinlong Feng, Yinnian He
2015	J	`jnl`	Decoupled schemes for unsteady MHD equations II: Finite element spatial discretization and numerical implementation. Comput. Math. Appl. Guo-Dong Zhang, Yinnian He
2015	J	`jnl`	Two-Level Coupled and Decoupled Parallel Correction Methods for Stationary Incompressible Magnetohydrodynamics. J. Sci. Comput. Guo-Dong Zhang, Yan Zhang, Yinnian He
2015	J	`jnl`	Two-Level Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics. J. Sci. Comput. Xiaojing Dong, Yinnian He
2014	J	`jnl`	A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher's equation. Int. J. Comput. Math. Xindong Zhang, Yinnian He, Leilei Wei, Bo Tang, Shaoli Wang
2014	J	`jnl`	A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation. Appl. Math. Comput. Shuying Zhai, Xinlong Feng, Yinnian He
2014	J	`jnl`	An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. J. Comput. Phys. Shuying Zhai, Xinlong Feng, Yinnian He
2014	J	`jnl`	Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain. Comput. Math. Appl. Guo-Dong Zhang, Yinnian He, Di Yang
2014	J	`jnl`	Convergence analysis of a new multiscale finite element method for the stationary Navier-Stokes problem. Comput. Math. Appl. Juan Wen, Yinnian He
2014	J	`jnl`	Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method. Comput. Phys. Commun. Shuying Zhai, Xinlong Feng, Yinnian He
2013	J	`jnl`	A Family of Fourth-Order and Sixth-Order Compact Difference Schemes for the Three-Dimensional Poisson Equation. J. Sci. Comput. Shuying Zhai, Xinlong Feng, Yinnian He
2013	J	`jnl`	Analysis for one-dimensional time-fractional Tricomi-type equations by LDG methods. Numer. Algorithms Xindong Zhang, Juan Liu, Juan Wen, Bo Tang, Yinnian He
2013	J	`jnl`	Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations. Numerische Mathematik Yinnian He
2013	J	`jnl`	Multiscale enrichment of a finite volume element method for the stationary Navier-Stokes problem. Int. J. Comput. Math. Juan Wen, Yinnian He, Jianhong Yang
2013	J	`jnl`	Some iterative finite element methods for steady Navier-Stokes equations with different viscosities. J. Comput. Phys. Hui Xu, Yinnian He
2013	J	`jnl`	Two-Level Newton's Method for Nonlinear Elliptic PDEs. J. Sci. Comput. Yinnian He, Yan Zhang, Hui Xu
2012	J	`jnl`	A defect-correction method for unsteady conduction-convection problems II: Time discretization. J. Comput. Appl. Math. Zhiyong Si, Yinnian He, Tong Zhang
2012	J	`jnl`	A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations. Numerische Mathematik Jian Li, Zhangxin Chen, Yinnian He
2012	J	`jnl`	Convergence analysis for a higher order scheme for the time-dependent Navier-Stokes equations. Appl. Math. Comput. Kun Wang, Yinnian He
2012	J	`jnl`	Fully discrete finite element method based on pressure stabilization for the transient Stokes equations. Math. Comput. Simul. Tong Zhang, Yinnian He
2012	J	`jnl`	Numerical comparisons of time-space iterative method and spatial iterative methods for the stationary Navier-Stokes equations. J. Comput. Phys. Yinnian He, Jian Li
2012	J	`jnl`	P 1-Nonconforming Quadrilateral Finite Volume Methods for the Semilinear Elliptic Equations. J. Sci. Comput. Xinlong Feng, Rongfei Li, Yinnian He, Demin Liu
2011	J	`jnl`	Homotopy analysis method for higher-order fractional integro-differential equations. Comput. Math. Appl. Xindong Zhang, Bo Tang, Yinnian He
2011	J	`jnl`	Modified homotopy perturbation method for solving the Stokes equations. Comput. Math. Appl. Xinlong Feng, Yinnian He
2011	J	`jnl`	On error estimates of the fully discrete penalty method for the viscoelastic flow problem. Int. J. Comput. Math. Kun Wang, Yinnian He, Xinlong Feng
2011	J	`jnl`	The local discontinuous Galerkin finite element method for Burger's equation. Math. Comput. Model. Long Shao, Xinlong Feng, Yinnian He
2010	J	`jnl`	A coupled Newton iterative mixed finite element method for stationary conduction-convection problems. Computing Zhiyong Si, Yinnian He
2010	J	`jnl`	A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations. J. Comput. Appl. Math. Yinnian He, Jian Li
2010	J	`jnl`	Assessment of subgrid-scale models for the incompressible Navier-Stokes equations. J. Comput. Appl. Math. Yan Zhang, Yinnian He
2010	J	`jnl`	Blow-up and global solutions for a class of nonlinear parabolic equations with different kinds of boundary conditions. Appl. Math. Comput. Tong Zhang, Yinnian He
2010	J	`jnl`	Fully Discrete Finite Element Approximations of a Polymer Gel Model. SIAM J. Numer. Anal. Xiaobing Feng, Yinnian He
2010	J	`jnl`	Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations. J. Sci. Comput. Yinnian He, Liquan Mei, Yueqiang Shang, Juan Cui
2010	J	`jnl`	Two-level stabilized finite element method for the transient Navier-Stokes equations. Int. J. Comput. Math. Kun Wang, Minfu Feng, Yinnian He
2009	J	`jnl`	A Subgrid Model for the Time-Dependent Navier-Stokes Equations. Adv. Numer. Anal. Yan Zhang, Yinnian He
2009	J	`jnl`	Application of modified homotopy perturbation method for solving the augmented systems. J. Comput. Appl. Math. Xinlong Feng, Yinnian He, Jixiang Meng
2009	J	`jnl`	Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs. Computing Jian Li, Yinnian He, Zhangxin Chen
2008	J	`jnl`	A stabilized nonconfirming finite element method based on multiscale enrichment for the stationary Navier-Stokes equations. Appl. Math. Comput. Zhihao Ge, Minfu Feng, Yinnian He
2008	J	`jnl`	Interactions between two rarefaction waves for the pressure-gradient equations in the gas dynamics. Appl. Math. Comput. Tong Zhang, Hanchun Yang, Yinnian He
2008	J	`jnl`	Local and parallel finite element algorithms for the stokes problem. Numerische Mathematik Yinnian He, Jinchao Xu, Aihui Zhou, Jian Li
2008	J	`jnl`	The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data. Math. Comput. Yinnian He
2008	J	`jnl`	The numerical rank of a matrix and its applications. Appl. Math. Comput. Xinlong Feng, Yinnian He, Zhinan Zhang
2007	J	`jnl`	Analysis of finite element approximations of a phase field model for two-phase fluids. Math. Comput. Xiaobing Feng, Yinnian He, Chun Liu
2007	J	`jnl`	High order iterative methods without derivatives for solving nonlinear equations. Appl. Math. Comput. Xinlong Feng, Yinnian He
2007	J	`jnl`	Stability and Convergence of the Crank-Nicolson/Adams-Bashforth scheme for the Time-Dependent Navier-Stokes Equations. SIAM J. Numer. Anal. Yinnian He, Weiwei Sun
2007	J	`jnl`	Stability and bifurcation for a kind of nonlinear delayed differential equations. Appl. Math. Comput. Lingyu Song, Yinnian He, Zhihao Ge
2007	J	`jnl`	Stabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equations. Math. Comput. Yinnian He, Weiwei Sun
2006	J	`jnl`	A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition. Appl. Math. Comput. Jian Li, Liquan Mei, Yinnian He
2006	J	`jnl`	Multi-level spectral Galerkin method for the Navier-Stokes equations, II: time discretization. Adv. Comput. Math. Yinnian He, Kam-Moon Liu
2006	J	`jnl`	Parametric iterative methods of second-order for solving nonlinear equation. Appl. Math. Comput. Xinlong Feng, Yinnian He
2006	J	`jnl`	Retraction to "Asymptotic behavior of the Navier-Stokes flow in a general 2D domain" [Appl. Math. Lett 18 (2005) 1170-1176]. Appl. Math. Lett. Yinnian He
2006	J	`jnl`	Stokes coupling method for the exterior flow Part IV: stabilized finite element approximation. Appl. Math. Comput. Yinnian He
2005	J	`jnl`	Multi-level spectral galerkin method for the navier-stokes problem I : spatial discretization. Numerische Mathematik Yinnian He, Kam-Moon Liu, Weiwei Sun
2005	J	`jnl`	Optimal error estimate of the penalty finite element method for the time-dependent Navier-Stokes equations. Math. Comput. Yinnian He
2005	J	`jnl`	Two-level Stabilized Finite Element Methods for the Steady Navier-Stokes Problem. Computing Yinnian He, Kaitai Li
2005	J	`jnl`	Using divergence free wavelets for the numerical solution of the 2-D stationary Navier-Stokes equations. Appl. Math. Comput. Xiaolin Zhou, Yinnian He
2004	J	`jnl`	A conjecture on fixed-point indices of mappings in cones. Appl. Math. Lett. Dongsheng Li, Yinnian He
2004	J	`jnl`	Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem. Numerische Mathematik Yinnian He, Kaitai Li
2004	J	`jnl`	Numerical analysis of a modified finite element nonlinear Galerkin method. Numerische Mathematik Yinnian He, Huanling Miao, Robert M. M. Mattheij, Zhangxin Chen
2003	J	`jnl`	Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations. SIAM J. Numer. Anal. Yinnian He