Edit Profile (opens in new tab) He, Yinnian Co-Author Distance Author ID: he.yinnian Published as: He, Yinnian; He, Yin-nian; He, Yin Nian; He, Yin-Nian; He, YinNian; He, Y. more...less Homepage: http://gr.xjtu.edu.cn/web/heyn External Links: ORCID · dblp Documents Indexed: 324 Publications since 1989, including 3 Additional arXiv Preprints Co-Authors: 135 Co-Authors with 299 Joint Publications 4,282 Co-Co-Authors all top 5 Co-Authors 22 single-authored 52 Feng, Xinlong 32 Li, Kaitai 28 Huang, Pengzhan 22 Li, Jian 12 Wei, LeiLei 12 Zhang, Yan 11 Ge, Zhihao 11 Shang, Yueqiang 10 Wang, Kun 10 Wen, Juan 9 Dong, Xiaojing 9 Feng, Minfu 9 Zhang, Guodong 8 Chen, Hongbin 8 Chen, Zhangxin 8 Wang, Gang 7 Si, Zhiyong 7 Tang, Bo 7 Wen, Jing 7 Zhang, Xindong 7 Zhang, Yarong 6 Lin, Yanping 6 Liu, Zhiyong 6 Su, Jian 6 Sun, Weiwei 6 Xu, Hui 6 Zhai, Shuying 6 Zhang, Tong 5 Lu, Xiaoli 5 Yang, Jinjin 4 Cao, Luling 4 Guo, Yingwen 4 Hou, Yanren 4 Liu, Kam-Moon 4 Mattheij, Robert M. M. 4 Mei, Liquan 4 Song, Lingyu 4 Wang, Ying 3 Feng, Xiaobing 3 He, Guoliang 3 He, Xiaoming 3 Huang, Aixiang 3 Liu, Yingzhi 3 Qian, Lingzhi 3 Wang, Aiwen 3 Wang, Shaoli 3 Wu, Jianhua 3 Zhao, Chunshan 3 Zou, Jun 2 Chen, Gang 2 He, Yaling 2 Hu, Qingjie 2 Huang, Qinghuai 2 Huang, Weizhang 2 Li, Dongsheng 2 Li, Jingwei 2 Li, Ting 2 Li, Wei 2 Liu, Demin 2 Liu, Haochen 2 Liu, Shuaijun 2 Liu, Yunxian 2 Liu, Zhixing 2 Meng, Jixiang 2 Miao, Huanling 2 Sun, Haiyan 2 Tait, Robert J. 2 Wang, Feng 2 Wei, Meihua 2 Xiao, Xufeng 2 Xu, Jinchao 2 Zeng, Yunhua 2 Zhou, Aihui 1 Adil, Nazakat 1 Al Mahbub, Md. Abdullah 1 Bai, Yanhong 1 Boubendir, Yassine 1 Cannon, John Rozier 1 Chan, Kit Hung 1 Chen, Long 1 Cui, Juan 1 Ewing, Richard Edward 1 Gao, Fuhai 1 Gao, Shihao 1 Gao, Zhiming 1 Guan, Zhen 1 He, Yanan 1 Huo, Mihui 1 Kumar, Sunil 1 Li, Kaitia 1 Li, Min 1 Li, Rongfei 1 Li, Rui 1 Li, Xuejian 1 Li, Yi 1 Liao, Cheng 1 Liu, Chun 1 Liu, Juan 1 Liu, Mingru 1 Luo, Zhendong ...and 35 more Co-Authors all top 5 Serials 25 Numerical Methods for Partial Differential Equations 20 Computers & Mathematics with Applications 16 Journal of Scientific Computing 15 Journal of Computational and Applied Mathematics 13 Applied Mathematics and Computation 12 Journal of Mathematical Analysis and Applications 12 Journal of Computational Mathematics 12 Discrete and Continuous Dynamical Systems. Series B 12 International Journal of Numerical Analysis and Modeling 10 Computer Methods in Applied Mechanics and Engineering 8 Applied Numerical Mathematics 7 Numerische Mathematik 7 Applied Mathematics and Mechanics. (English Edition) 7 Applied Mathematical Modelling 7 Advances in Applied Mathematics and Mechanics 5 Applied Mathematics Letters 5 International Journal of Computer Mathematics 5 Advances in Computational Mathematics 5 International Journal of Computational Methods 4 Computers and Fluids 4 Mathematical Methods in the Applied Sciences 4 Mathematics of Computation 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Numerical Analysis 4 Journal of Engineering Mathematics (Xi’an) 3 Journal of Computational Physics 3 Computing 3 Mathematica Numerica Sinica 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Engineering Analysis with Boundary Elements 3 Discrete and Continuous Dynamical Systems 3 Mathematical Problems in Engineering 3 Nonlinear Analysis. Real World Applications 3 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 IMA Journal of Numerical Analysis 2 Physics Letters. A 2 Acta Mathematica Sinica 2 Journal of Xi’an Jiaotong University 2 Acta Mathematicae Applicatae Sinica. English Series 2 Acta Mathematica Scientia 2 SIAM Journal on Scientific Computing 2 Numerical Mathematics 2 Applied Mathematics. Series B (English Edition) 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Communications in Nonlinear Science and Numerical Simulation 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Communications on Pure and Applied Analysis 2 Frontiers of Mathematics in China 2 Science China. Mathematics 1 Applicable Analysis 1 Computer Physics Communications 1 International Journal of Engineering Science 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Rocky Mountain Journal of Mathematics 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Numerical Mathematics 1 Journal of Systems Science and Mathematical Sciences 1 Mathematical and Computer Modelling 1 Systems Science and Mathematical Sciences 1 Numerical Algorithms 1 Topological Methods in Nonlinear Analysis 1 Applied Mathematics. Series A (Chinese Edition) 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Differential Equations 1 International Journal of Computational Fluid Dynamics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Computational Analysis and Applications 1 Acta Mathematica Sinica. English Series 1 Mathematical Modelling and Analysis 1 Computational Methods in Applied Mathematics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Numerical Mathematics 1 International Journal of Information & Systems Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 Advances in Numerical Analysis 1 Chinese Journal of Engineering Mathematics 1 Scientia Sinica. Mathematica 1 Journal of Applied Mathematics & Informatics 1 International Journal of Numerical Analysis and Modeling. Series B 1 East Asian Journal on Applied Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) all top 5 Fields 276 Numerical analysis (65-XX) 216 Fluid mechanics (76-XX) 163 Partial differential equations (35-XX) 9 Ordinary differential equations (34-XX) 9 Biology and other natural sciences (92-XX) 8 Geophysics (86-XX) 6 Mechanics of deformable solids (74-XX) 6 Optics, electromagnetic theory (78-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 3 Real functions (26-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Functional analysis (46-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 266 Publications have been cited 4,281 times in 1,768 Documents Cited by ▼ Year ▼ Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations. Zbl 1130.76365 He, Yinnian 179 2003 A stabilized finite element method based on two local Gauss integrations for the Stokes equations. Zbl 1132.35436 Li, Jian; He, Yinnian 159 2008 On large time-stepping methods for the Cahn-Hilliard equation. Zbl 1118.65109 He, Yinnian; Liu, Yunxian; Tang, Tao 129 2007 Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations. Zbl 1227.76031 He, Yinnian; Li, Jian 122 2009 Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations. Zbl 1312.76061 He, Yinnian 121 2015 Stability and convergence of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations. Zbl 1145.35318 He, Yinnian; Sun, Weiwei 109 2007 A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations. Zbl 1155.35406 He, Yinnian; Li, Jian 99 2008 Two-level stabilized finite element methods for the steady Navier-Stokes problem. Zbl 1099.65111 He, Yinnian; Li, Kaitai 92 2005 A new stabilized finite element method for the transient Navier-Stokes equations. Zbl 1169.76392 Li, Jian; He, Yinnian; Chen, Zhangxin 91 2007 A simplified two-level method for the steady Navier-Stokes equations. Zbl 1194.76120 He, Yinnian; Wang, Aiwen 89 2008 Local and parallel finite element algorithms for the Stokes problem. Zbl 1145.65097 He, Yinnian; Xu, Jinchao; Zhou, Aihui; Li, Jian 88 2008 The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data. Zbl 1198.65222 He, Yinnian 88 2008 Local and parallel finite element algorithms for the Navier-Stokes problem. Zbl 1093.76035 He, Yinnian; Xu, Jinchao; Zhou, Aihui 83 2006 Analysis of finite element approximations of a phase field model for two-phase fluids. Zbl 1111.76028 Feng, Xiaobing; He, Yinnian; Liu, Chun 66 2007 Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics. Zbl 1423.76226 Dong, Xiaojing; He, Yinnian; Zhang, Yan 66 2014 Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems. Zbl 1427.65267 Wei, Leilei; He, Yinnian 64 2014 A multilevel finite element method in space-time for the Navier-Stokes problem. Zbl 1081.76044 He, Yinnian; Liu, Kam-Moon 57 2005 Stabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equations. Zbl 1129.35004 He, Yinnian; Sun, Weiwei 51 2007 Parallel iterative finite element algorithms based on full domain partition for the stationary Navier-Stokes equations. Zbl 1425.76147 Shang, Yueqiang; He, Yinnian 45 2010 Newton iterative parallel finite element algorithm for the steady Navier-Stokes equations. Zbl 1203.76003 He, Yinnian; Mei, Liquan; Shang, Yueqiang; Cui, Juan 44 2010 A fully discrete stabilized finite-element method for the time-dependent Navier-Stokes problem. Zbl 1135.76331 He, Yinnian 43 2003 Optimal error estimate of the penalty finite element method for the time-dependent Navier-Stokes equations. Zbl 1065.35025 He, Yinnian 43 2005 Stabilized finite element method for the stationary Navier-Stokes equations. Zbl 1069.76031 He, Yinnian; Wang, Aiwen; Mei, Liquan 42 2005 Two-level Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics. Zbl 06456931 Dong, Xiaojing; He, Yinnian 40 2015 Some iterative finite element methods for steady Navier-Stokes equations with different viscosities. Zbl 1291.76211 Xu, Hui; He, Yinnian 37 2013 An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. Zbl 1349.65356 Zhai, Shuying; Feng, Xinlong; He, Yinnian 37 2014 The local discontinuous Galerkin finite element method for Burger’s equation. Zbl 1235.65115 Shao, Long; Feng, Xinlong; He, Yinnian 35 2011 Homotopy analysis method for higher-order fractional integro-differential equations. Zbl 1232.65120 Zhang, Xindong; Tang, Bo; He, Yinnian 34 2011 Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain. Zbl 1362.76035 Zhang, Guo-Dong; He, Yinnian; Yang, Di 34 2014 Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations. Zbl 0903.76052 He, Yinnian; Li, Kaitai 33 1998 A parallel Oseen-linearized algorithm for the stationary Navier-Stokes equations. Zbl 1243.76022 Shang, Yueqiang; He, Yinnian 32 2012 A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows. Zbl 1441.76143 Yang, Jinjin; Mao, Shipeng; He, Xiaoming; Yang, Xiaofeng; He, Yinnian 32 2019 A divergence free weak virtual element method for the Stokes-Darcy problem on general meshes. Zbl 1440.76088 Wang, Gang; Wang, Feng; Chen, Long; He, Yinnian 31 2019 Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation. Zbl 1443.65232 Zhang, Guo-Dong; He, Yinnian 30 2015 Two-level Newton iterative method for the 2D/3D steady Navier-Stokes equations. Zbl 1390.65144 He, Yinnian; Zhang, Yan; Shang, Yueqiang; Xu, Hui 28 2012 Assessment of subgrid-scale models for the incompressible Navier-Stokes equations. Zbl 1273.76082 Zhang, Yan; He, Yinnian 28 2010 Analysis of a local discontinuous Galerkin method for time-fractional advection-diffusion equations. Zbl 1357.65181 Wei, Leilei; Zhang, Xindong; He, Yinnian 28 2013 A generalized fractional sub-equation method for fractional differential equations with variable coefficients. Zbl 1266.34014 Tang, Bo; He, Yinnian; Wei, Leilei; Zhang, Xindong 28 2012 Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations. Zbl 1331.76069 He, Yinnian 28 2013 Multi-level spectral Galerkin method for the Navier-Stokes problem. I: Spatial discretization. Zbl 1096.65099 He, Yinnian; Liu, Kam-Moon; Sun, Weiwei 27 2005 A multi-level stabilized finite element method for the stationary Navier-Stokes equations. Zbl 1175.76092 Li, Jian; He, Yinnian; Xu, Hui 26 2007 Stabilized finite element method for the non-stationary Navier-Stokes problem. Zbl 1089.76033 He, Yinnian; Lin, Yanping; Sun, Weiwei 26 2006 Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method. Zbl 1360.35100 Zhai, Shuying; Feng, Xinlong; He, Yinnian 26 2014 Two-level penalized finite element methods for the stationary Navier-Stokes equations. Zbl 1099.65110 He, Yinnian; Li, Jian; Yang, Xiaozhong 25 2006 A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations. Zbl 1277.76037 He, Yinnian; Li, Jian 25 2010 Stability and error analysis for a spectral Galerkin method for the Navier-Stokes equations with \(H^2\) or \(H^1\) initial data. Zbl 1076.76059 He, Yinnian 24 2005 A two-level finite element Galerkin method for the nonstationary Navier-Stokes equations. II: Time discretization. Zbl 1137.76413 He, Yinnian; Miao, Huanling; Ren, Chunfeng 24 2004 Stability and convergence of the spectral Galerkin method for the Cahn-Hilliard equation. Zbl 1157.65053 He, Yinnian; Liu, Yunxian 24 2008 A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations. Zbl 1366.76062 Li, Jian; Chen, Zhangxin; He, Yinnian 23 2012 Finite element approximation for the viscoelastic fluid motion problem. Zbl 1014.76041 He, Yinnian; Lin, Yanping; Shen, Samuel S. P.; Sun, Weiwei; Tait, Robert 23 2003 Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations. Zbl 1351.76060 Huang, Pengzhan; Feng, Xinlong; He, Yinnian 22 2013 Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations. Zbl 1356.76451 Zhang, Guo-Dong; He, Yinnian 22 2015 A modified nonlinear Galerkin method for the viscoelastic fluid motion equations. Zbl 1210.76111 Cannon, John R.; Ewing, Richard E.; He, Yinnian; Lin, Yanping 21 1999 Diffusion effect and stability analysis of a predator-prey system described by a delayed reaction-diffusion equations. Zbl 1132.35087 Ge, Zhihao; He, Yinnian 21 2008 A family of fourth-order and sixth-order compact difference schemes for the three-dimensional Poisson equation. Zbl 1259.65160 Zhai, Shuying; Feng, Xinlong; He, Yinnian 21 2013 A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation. Zbl 1410.65420 Zhai, Shuying; Feng, Xinlong; He, Yinnian 21 2014 Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs. Zbl 1176.65136 Li, Jian; He, Yinnian; Chen, Zhangxin 20 2009 A two-level finite element Galerkin method for the nonstationary Navier-Stokes equations. I: Spatial discretization. Zbl 1137.76412 He, Yinnian 20 2004 Multi-level spectral Galerkin method for the Navier-Stokes equations. II: Time discretization. Zbl 1331.65146 He, Yinnian; Liu, Kam-Moon 20 2006 Stabilized multiscale finite element method for the stationary Navier-Stokes equations. Zbl 1161.76027 Ge, Zhihao; Feng, Minfu; He, Yinnian 20 2009 Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics. Zbl 1446.76188 Zhang, Guo-Dong; He, Yinnian; Zhang, Yan 20 2014 \(H^2\)-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations. Zbl 1334.76078 He, Yinnian; Huang, Pengzhan; Feng, Xinlong 20 2015 Two-level methods based on three corrections for the 2D/3D steady Navier-Stokes equations. Zbl 1276.76041 He, Yinnian; Li, Jian 19 2011 Fully discrete finite element method for the viscoelastic fluid motion equations. Zbl 1197.35016 Wang, Kun; He, Yinnian; Shang, Yueqiang 19 2010 A comparison of three kinds of local and parallel finite element algorithms based on two-grid discretizations for the stationary Navier-Stokes equations. Zbl 1245.76056 Shang, Yueqiang; He, Yinnian; Luo, Zhendong 18 2011 A defect-correction method for unsteady conduction-convection problems. II: Time discretization. Zbl 1427.76146 Si, Zhiyong; He, Yinnian; Zhang, Tong 18 2012 A defect-correction method for unsteady conduction-convection problems. I: Spatial discretization. Zbl 1227.76040 Si, Zhiyong; He, Yinnian; Wang, Kun 18 2011 Discontinuous finite volume methods for the stationary Stokes-Darcy problem. Zbl 1352.76078 Wang, Gang; He, Yinnian; Li, Rui 18 2016 Convergence of some finite element iterative methods related to different Reynolds numbers for the 2D/3D stationary incompressible magnetohydrodynamics. Zbl 1338.35328 Dong, XiaoJing; He, YinNian 18 2016 High order iterative methods without derivatives for solving nonlinear equations. Zbl 1119.65036 Feng, Xinlong; He, Yinnian 17 2007 Numerical implementation of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations. Zbl 1423.76096 He, Yinnian; Li, Jian 17 2010 A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition. Zbl 1119.65092 Li, Jian; Mei, Liquan; He, Yinnian 17 2006 Decoupled schemes for unsteady MHD equations. I: Time discretization. Zbl 1397.76081 Zhang, Guo-Dong; He, Yinnian 17 2017 A priori estimates and optimal finite element approximation of the MHD flow in smooth domains. Zbl 1395.65143 He, Yinnian; Zou, Jun 17 2018 Nonlinear Galerkin method and two-step method for the Navier-Stokes equations. Zbl 0852.76042 He, Yinnian; Li, Kaitai 16 1996 On the convergence of viscoelastic fluid flows to a steady state. Zbl 1049.76014 He, Yinnian; Lin, Yanping; Shen, Semuel S. P.; Tait, Robert 16 2002 Local and parallel finite element algorithm based on the partition of unity method for the incompressible MHD flow. Zbl 1398.35146 Dong, Xiaojing; He, Yinnian; Wei, Hongbo; Zhang, Yuhong 16 2018 Two-level coupled and decoupled parallel correction methods for stationary incompressible magnetohydrodynamics. Zbl 1328.65250 Zhang, Guo-Dong; Zhang, Yan; He, Yinnian 15 2015 Stability and convergence of iterative methods related to viscosities for the 2D/3D steady Navier-Stokes equations. Zbl 1305.76057 He, Yinnian 15 2015 Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV-Burgers-Kuramoto equation. Zbl 1263.65098 Wei, Leilei; He, Yinnian; Yildirim, Ahmet; Kumar, Sunil 15 2013 The finite volume method based on stabilized finite element for the stationary Navier-Stokes problem. Zbl 1117.35061 He, Guoliang; He, Yinnian 14 2007 Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem. Zbl 1235.74286 Huang, Pengzhan; He, Yinnian; Feng, Xinlong 14 2011 Parallel finite element algorithm based on full domain partition for stationary Stokes equations. Zbl 1378.76054 Shang, Yueqiang; He, Yinnian 14 2010 A defect-correction mixed finite element method for stationary conduction-convection problems. Zbl 1204.76021 Si, Zhiyong; He, Yinnian 13 2011 The Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations with nonsmooth initial data. Zbl 1431.76089 He, Yinnian 13 2012 Fully discrete finite element approximations of a polymer gel model. Zbl 1218.82031 Feng, Xiaobing; He, Yinnian 13 2010 Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem. Zbl 1140.76322 He, Yinnian; Li, Kaitai 13 2004 A penalty finite volume method for the transient Navier-Stokes equations. Zbl 1148.76038 He, Guoliang; He, Yinnian; Chen, Zhangxin 13 2008 Two-level stabilized finite element method for Stokes eigenvalue problem. Zbl 1266.65192 Huang, Peng-zhan; He, Yin-nian; Feng, Xin-long 13 2012 Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method. Zbl 1442.92019 Xiao, Xufeng; Feng, Xinlong; He, Yinnian 13 2019 A stabilised characteristic finite element method for transient Navier-Stokes equations. Zbl 1271.76177 Zhang, Tong; Si, Zhiyong; He, Yinnian 13 2010 On error estimates of the penalty method for the viscoelastic flow problem. I: Time discretization. Zbl 1201.76196 Wang, Kun; He, Yinnian; Feng, Xinlong 13 2010 A pressure-robust virtual element method for the Stokes problem. Zbl 1506.76102 Wang, Gang; Mu, Lin; Wang, Ying; He, Yinnian 13 2021 A two-level finite element method for the stationary Navier-Stokes equations based on a stabilized local projection. Zbl 1428.35318 Zhang, Yan; He, Yinnian 12 2011 Traveling wavefronts for a two-species predator-prey system with diffusion terms and stage structure. Zbl 1396.35034 Ge, Zhihao; He, Yinnian 12 2009 A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher’s equation. Zbl 1304.35713 Zhang, Xindong; He, Yinnian; Wei, Leilei; Tang, Bo; Wang, Shaoli 12 2014 A strongly conservative finite element method for the coupled Stokes-Biot model. Zbl 1447.65094 Wen, Jing; He, Yinnian 12 2020 Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics. Zbl 1442.65256 Dong, Xiaojing; He, Yinnian 12 2018 On uniform in time \(H^2\)-regularity of the solution for the 2D Cahn-Hilliard equation. Zbl 1350.35051 He, Yinnian; Feng, Xinlong 12 2016 The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems. Zbl 1236.76041 Qian, Lingzhi; Feng, Xinlong; He, Yinnian 11 2012 A second-order Strang splitting scheme with exponential integrating factor for the Allen-Cahn equation with logarithmic Flory-Huggins potential. Zbl 1504.65182 Wu, Chunya; Feng, Xinlong; He, Yinnian; Qian, Lingzhi 2 2023 Second order unconditionally stable and convergent linearized scheme for a fluid-fluid interaction model. Zbl 1515.65247 Li, Wei; Huang, Pengzhan; He, Yinnian 2 2023 Well-posedness and finite element approximation for the steady-state closed-loop geothermal system. Zbl 1516.65136 Liu, Haochen; Huang, Pengzhan; He, Yinnian 1 2023 Difference finite element method for the 3D steady Stokes equations. Zbl 1482.76078 Feng, Xinlong; Lu, Xiaoli; He, Yinnian 5 2022 Uniform stability and convergence with respect to \((\nu, \mu, s, 1-\sigma)\) of the three iterative finite element solutions for the 3D steady MHD equations. Zbl 1478.35174 He, Yinnian; Dong, Xiaojing; Feng, Xinlong 4 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. Zbl 07435360 Cao, Luling; He, Yinnian; Li, Jian 3 2022 A stabilized difference finite element method for the 3D steady Stokes equations. Zbl 1510.76091 Lu, Xiaoli; Huang, Pengzhan; Feng, Xinlong; He, Yinnian 3 2022 New optimized Robin-Robin domain decomposition methods using Krylov solvers for the Stokes-Darcy system. Zbl 1503.65309 Liu, Yingzhi; Boubendir, Yassine; He, Xiaoming; He, Yinnian 3 2022 A finite element algorithm for nematic liquid crystal flow based on the Gauge-Uzawa method. Zbl 1499.65494 Huang, Pengzhan; He, Yinnian; Li, Ting 2 2022 Spatiotemporal patterns and bifurcations with degeneration in a symmetry glycolysis model. Zbl 1495.35026 Wei, Meihua; He, Yinnian; Azam, Muhammad 2 2022 A time filter method for solving the double-diffusive natural convection model. Zbl 1521.76382 Zeng, Yunhua; Huang, Pengzhan; He, Yinnian 2 2022 An optimal error estimate of the BDF-Galerkin FEM for the incompressible MHD system. Zbl 1493.65156 Liu, Shuaijun; Huang, Pengzhan; He, Yinnian 2 2022 On the solution of the steady-state dual-porosity-Navier-Stokes fluid flow model with the Beavers-Joseph-Saffman interface condition. Zbl 1493.65235 Yang, Di; He, Yinnian; Cao, Luling 1 2022 A pressure-robust virtual element method for the Stokes problem. Zbl 1506.76102 Wang, Gang; Mu, Lin; Wang, Ying; He, Yinnian 13 2021 A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition. Zbl 1476.76050 Liu, Yingzhi; He, Yinnian; Li, Xuejian; He, Xiaoming 10 2021 Stability and error estimate of the operator splitting method for the phase field crystal equation. Zbl 1456.65136 Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong; He, Yinnian 8 2021 Decoupled modified characteristic FEMs for fully evolutionary Navier-Stokes-Darcy model with the Beavers-Joseph interface condition. Zbl 1452.65227 Cao, Luling; He, Yinnian; Li, Jian; Yang, Di 8 2021 Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual-porosity-Navier-Stokes model. Zbl 1468.76038 Cao, Luling; He, Yinnian; Li, Jian; Mahbub, Md. Abdullah Al 6 2021 Grad-div stabilized finite element schemes for the fluid-fluid interaction model. Zbl 1473.65209 Li, Wei; Huang, Pengzhan; He, Yinnian 4 2021 Fully discrete finite element approximation of the 2D/3D unsteady incompressible magnetohydrodynamic-Voigt regularization flows. Zbl 1465.65102 Lu, Xiaoli; Huang, Pengzhan; He, Yinnian 4 2021 A divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes. Zbl 1501.65129 Wang, Gang; Wang, Feng; He, Yinnian 3 2021 A meshless local radial point collocation method for simulating the time-fractional convection-diffusion equations on surfaces. Zbl 07446905 Qiao, Yuanyang; Feng, Xinlong; He, Yinnian 3 2021 Two robust virtual element methods for the Brinkman equations. Zbl 1479.76064 Wang, Gang; Wang, Ying; He, Yinnian 2 2021 A fully discrete local discontinuous Galerkin method with the generalized numerical flux to solve the tempered fractional reaction-diffusion equation. Zbl 1476.65256 Wei, Leilei; He, Yinnian 1 2021 A fully discrete, decoupled scheme with different time steps for approximating nematic liquid crystal flow. Zbl 1499.65504 Li, Ting; Huang, Pengzhan; He, Yinnian 1 2021 A weak Galerkin finite element method based on \(\boldsymbol{H}(\operatorname{div})\) virtual element for Darcy flow on polytopal meshes. Zbl 1478.65132 Wang, Gang; Wang, Ying; He, Yinnian 1 2021 A strongly conservative finite element method for the coupled Stokes-Biot model. Zbl 1447.65094 Wen, Jing; He, Yinnian 12 2020 A posteriori error estimates for the virtual element method for the Stokes problem. Zbl 1448.76122 Wang, Gang; Wang, Ying; He, Yinnian 10 2020 Discontinuous Galerkin method for the nonlinear Biot’s model. Zbl 1431.74108 Wen, Jing; Su, Jian; He, Yinnian; Chen, Hongbin 6 2020 A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem. Zbl 1433.76088 Liao, Cheng; Huang, Pengzhan; He, Yinnian 6 2020 A discontinuous Galerkin method for the coupled Stokes and Darcy problem. Zbl 1451.65205 Wen, Jing; Su, Jian; He, Yinnian; Chen, Hongbin 5 2020 A parallel finite element method for incompressible magnetohydrodynamics equations. Zbl 1443.76150 Dong, Xiaojing; He, Yinnian 5 2020 Crank-Nicolson leap-frog time stepping decoupled scheme for the fluid-fluid interaction problems. Zbl 1447.65088 Qian, Lingzhi; Feng, Xinlong; He, Yinnian 4 2020 The property of the branch of nonsingular finite element/finite volume solutions to the stationary Navier-Stokes equations and its application. Zbl 1465.65141 Li, Jian; He, Yinnian 3 2020 Two-level Schwarz methods for a discontinuous Galerkin approximation of elliptic problems with jump coefficients. Zbl 1473.65341 Liu, Yingzhi; He, Yinnian 2 2020 On the solutions of the 3D steady and unsteady primitive equations of the ocean. Zbl 1448.35510 He, Yinnian 2 2020 Discontinuous Galerkin method for the fully dynamic Biot’s model. Zbl 1464.65188 Wen, Jing; He, Yinnian; Chen, Hongbin 2 2020 Weak Galerkin method for the Helmholtz equation with DtN boundary condition. Zbl 1471.65197 Hu, Qingjie; He, Yinnian; Wang, Kun 2 2020 An Uzawa-type algorithm for the coupled Stokes equations. Zbl 1457.76057 Huang, Pengzhan; He, Yinnian 1 2020 Method of order reduction for the high-dimensional convection-diffusion-reaction equation with Robin boundary conditions based on MQ RBF-FD. Zbl 07336590 Li, Jingwei; Gao, Zhiming; Feng, Xinlong; He, Yinnian 1 2020 A lowest equal-order stabilized mixed finite element method based on multiphysics approach for a poroelasticity model. Zbl 1433.76084 Ge, Zhihao; He, Yanan; He, Yinnian 1 2020 A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows. Zbl 1441.76143 Yang, Jinjin; Mao, Shipeng; He, Xiaoming; Yang, Xiaofeng; He, Yinnian 32 2019 A divergence free weak virtual element method for the Stokes-Darcy problem on general meshes. Zbl 1440.76088 Wang, Gang; Wang, Feng; Chen, Long; He, Yinnian 31 2019 Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method. Zbl 1442.92019 Xiao, Xufeng; Feng, Xinlong; He, Yinnian 13 2019 RBF-based meshless local Petrov Galerkin method for the multi-dimensional convection-diffusion-reaction equation. Zbl 1404.65176 Li, Jingwei; Feng, Xinlong; He, Yinnian 8 2019 Stability and convergence of semi-implicit time-stepping algorithm for stationary incompressible magnetohydrodynamics. Zbl 1442.65283 Yang, Jinjin; He, Yinnian 1 2019 Stability and convergence of a finite element method for a semilinear elliptical problem with small viscosity. Zbl 1443.65384 Zhang, Yarong; He, Yinnian 1 2019 \(H^{2}\)-stability of some second order fully discrete schemes for the Navier-Stokes equations. Zbl 1420.35188 He, Yinnian; Huang, Pengzhan; Li, Jian 1 2019 A priori estimates and optimal finite element approximation of the MHD flow in smooth domains. Zbl 1395.65143 He, Yinnian; Zou, Jun 17 2018 Local and parallel finite element algorithm based on the partition of unity method for the incompressible MHD flow. Zbl 1398.35146 Dong, Xiaojing; He, Yinnian; Wei, Hongbo; Zhang, Yuhong 16 2018 Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics. Zbl 1442.65256 Dong, Xiaojing; He, Yinnian 12 2018 On an efficient second order backward difference Newton scheme for MHD system. Zbl 1398.76162 Yang, Jinjin; He, Yinnian; Zhang, Guodong 8 2018 Unconditional convergence and optimal \(L^2\) error estimates of the Crank-Nicolson extrapolation FEM for the nonstationary Navier-Stokes equations. Zbl 1416.76108 Guo, Yingwen; He, Yinnian 6 2018 Stability and error analysis for the first-order Euler implicit/explicit scheme for the 3D MHD equations. Zbl 1404.76167 Yang, Jinjin; He, Yinnian 5 2018 A new defect-correction method for the stationary Navier-Stokes equations based on pressure projection. Zbl 1383.35143 Wen, Juan; He, Yinnian 5 2018 Weak Galerkin finite element methods for the simulation of single-phase flow in fractured porous media. Zbl 1404.65281 Wang, Gang; He, Yinnian; Yang, Jinjin 4 2018 On the Euler implicit/explicit iterative scheme for the stationary Oldroyd fluid. Zbl 1407.76096 Guo, Yingwen; He, Yinnian 2 2018 Uniform error estimates of finite element method for a 3D semilinear elliptic problem with small viscosity. Zbl 1404.65286 Zhang, Yarong; He, Yinnian; Chen, Hongbin 1 2018 Fully discrete stabilized multiphysics finite element method for the polymer gel model. Zbl 1419.82077 Ge, Zhihao; Guan, Zhen; He, Yinnian 1 2018 Decoupled schemes for unsteady MHD equations. I: Time discretization. Zbl 1397.76081 Zhang, Guo-Dong; He, Yinnian 17 2017 Second order fully discrete defect-correction scheme for nonstationary conduction-convection problem at high Reynolds number. Zbl 1370.65056 Su, Haiyan; Feng, Xinlong; He, Yinnian 8 2017 The almost unconditional convergence of the Euler implicit/explicit scheme for the three dimensional nonstationary Navier-Stokes equations. Zbl 1368.35158 He, Yinnian; Su, Jian 6 2017 The Oseen type finite element iterative method for the stationary incompressible magnetohydrodynamics. Zbl 1488.35418 Dong, Xiaojing; He, Yinnian 5 2017 Boundary element method for a free boundary problem modeling three dimensional tumor growth. Zbl 1379.92025 Zhang, Yarong; He, Yinnian; Chen, Hongbin 3 2017 Discontinuous finite volume methods for the stationary Stokes-Darcy problem. Zbl 1352.76078 Wang, Gang; He, Yinnian; Li, Rui 18 2016 Convergence of some finite element iterative methods related to different Reynolds numbers for the 2D/3D stationary incompressible magnetohydrodynamics. Zbl 1338.35328 Dong, XiaoJing; He, YinNian 18 2016 On uniform in time \(H^2\)-regularity of the solution for the 2D Cahn-Hilliard equation. Zbl 1350.35051 He, Yinnian; Feng, Xinlong 12 2016 Uniform \(H^{2}\)-regularity of solution for the 2D Navier-Stokes/Cahn-Hilliard phase field model. Zbl 1338.35085 He, Yinnian; Feng, Xinlong 10 2016 First-order decoupled finite element method of the three-dimensional primitive equations of the ocean. Zbl 1334.76079 He, Yinnian; Zhang, Yan; Xu, Hui; Chen, Zhangxin 8 2016 Convergence of the Crank-Nicolson/Newton scheme for nonlinear parabolic problem. Zbl 1363.65146 Feng, Xinlong; He, Yinnian 5 2016 A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes. Zbl 1333.65090 He, Yinnian; Huang, Weizhang 4 2016 A new parallel finite element algorithm based on two-grid discretization for the generalized Stokes problem. Zbl 1401.76090 Shang, Yue Qiang; He, Yin Nian; Feng, Xin Long 2 2016 Second order time-space iterative method for the stationary Navier-Stokes equations. Zbl 1381.76177 Huang, Pengzhan; He, Yinnian; Feng, Xinlong 2 2016 Numerical investigations on several stabilized finite element methods for the Navier-Stokes problem. Zbl 1363.76045 Wen, Juan; He, Yinnian; Huang, Pengzhan; Li, Min 1 2016 Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations. Zbl 1312.76061 He, Yinnian 121 2015 Two-level Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics. Zbl 06456931 Dong, Xiaojing; He, Yinnian 40 2015 Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation. Zbl 1443.65232 Zhang, Guo-Dong; He, Yinnian 30 2015 Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations. Zbl 1356.76451 Zhang, Guo-Dong; He, Yinnian 22 2015 \(H^2\)-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations. Zbl 1334.76078 He, Yinnian; Huang, Pengzhan; Feng, Xinlong 20 2015 Two-level coupled and decoupled parallel correction methods for stationary incompressible magnetohydrodynamics. Zbl 1328.65250 Zhang, Guo-Dong; Zhang, Yan; He, Yinnian 15 2015 Stability and convergence of iterative methods related to viscosities for the 2D/3D steady Navier-Stokes equations. Zbl 1305.76057 He, Yinnian 15 2015 An efficient two-step algorithm for the incompressible flow problem. Zbl 1334.76080 Huang, Pengzhan; Feng, Xinlong; He, Yinnian 11 2015 Modified characteristics mixed defect-correction finite element method for the time-dependent Navier-Stokes problems. Zbl 1446.76096 Si, Zhiyong; He, Yinnian; Wang, Yunxia 6 2015 Analysis of an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV equation. Zbl 1488.65473 Wei, Leilei; He, Yinnian; Zhang, Xindong 6 2015 Second order decoupled implicit/explicit method of the primitive equations of the ocean. I: Time discretization. Zbl 1334.86002 He, Yinnian 5 2015 Fully discrete finite element method based on second-order Crank-Nicolson/Adams-Bashforth scheme for the equations of motion of Oldroyd fluids of order one. Zbl 1381.76171 He, Yinnian; Guo, Yingwen 4 2015 On two-level Oseen iterative methods for the 2D/3D steady Navier-Stokes equations. Zbl 1390.76383 Zhang, Yan; Xu, Hui; He, Yinnian 4 2015 Steady-state solutions and stability for a cubic autocatalysis model. Zbl 1370.37154 Wei, Mei-hua; Wu, Jianhua; He, Yinnian 1 2015 Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics. Zbl 1423.76226 Dong, Xiaojing; He, Yinnian; Zhang, Yan 66 2014 Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems. Zbl 1427.65267 Wei, Leilei; He, Yinnian 64 2014 An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. Zbl 1349.65356 Zhai, Shuying; Feng, Xinlong; He, Yinnian 37 2014 Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain. Zbl 1362.76035 Zhang, Guo-Dong; He, Yinnian; Yang, Di 34 2014 Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method. Zbl 1360.35100 Zhai, Shuying; Feng, Xinlong; He, Yinnian 26 2014 A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation. Zbl 1410.65420 Zhai, Shuying; Feng, Xinlong; He, Yinnian 21 2014 Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics. Zbl 1446.76188 Zhang, Guo-Dong; He, Yinnian; Zhang, Yan 20 2014 A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher’s equation. Zbl 1304.35713 Zhang, Xindong; He, Yinnian; Wei, Leilei; Tang, Bo; Wang, Shaoli 12 2014 First order decoupled method of the primitive equations of the ocean: I: Time discretization. Zbl 1308.65143 He, Yinnian 9 2014 Global \(H^2\)-regularity results of the 3D primitive equations of the ocean. Zbl 1499.35588 He, Yinnian; Wu, Jianhua 5 2014 \(H^1\)-super-convergence of center finite difference method based on \(P_1\)-element for the elliptic equation. Zbl 1429.65268 Feng, Xinlong; He, Yinnian 5 2014 A robust high-order compact method for the three dimensional nonlinear biharmonic equations. Zbl 1359.65236 Zhai, Shuying; Feng, Xinlong; He, Yinnian 4 2014 ...and 166 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,950 Authors 172 He, Yinnian 103 Feng, Xinlong 66 Li, Jian 61 Huang, Pengzhan 56 Shang, Yueqiang 52 Zhang, Tong 40 Hou, Yanren 37 Si, Zhiyong 36 Chen, Zhangxin 35 Shi, Dongyang 29 Yang, Xiaofeng 28 He, Xiaoming 28 Wang, Kun 27 Zheng, Haibiao 26 Mei, Liquan 26 Su, Haiyan 25 Du, Guangzhi 24 Huang, Yunqing 23 An, Rong 22 Dehghan Takht Fooladi, Mehdi 22 Li, Xiaoli 22 Wei, LeiLei 21 Feng, Minfu 21 Zhang, Guodong 19 Li, Kaitai 19 Weng, Zhifeng 17 Liu, Zhengguang 16 Chen, Yanping 16 Li, Yuan 16 Zhai, Shuying 15 Chen, Chuanjun 15 Jia, Hongen 14 Luo, Zhendong 14 Wang, Yunxia 13 Ge, Zhihao 13 Mao, Shipeng 13 Qiu, Hailong 13 Rui, Hongxing 13 Xiao, Xufeng 13 Yang, Yidu 13 Yuan, Jinyun 13 Zuo, Liyun 12 Dong, Xiaojing 12 Li, Hong 12 Shi, Feng 12 Zhang, Xindong 11 Ding, Qianqian 11 Kim, Junseok 11 Li, Rui 11 Zhao, Xin 10 Al Mahbub, Md. 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