Edit Profile (opens in new tab) Feng, Xinlong Compute Distance To: Compute Author ID: feng.xinlong Published as: Feng, Xinlong; Feng, Xin-long; Feng, Xin Long; Feng, Xin-Long more...less Documents Indexed: 174 Publications since 1990 Co-Authors: 80 Co-Authors with 156 Joint Publications 2,411 Co-Co-Authors all top 5 Co-Authors 4 single-authored 49 He, Yinnian 31 Huang, Pengzhan 19 Zhai, Shuying 15 Weng, Zhifeng 14 Su, Haiyan 11 Xiao, Xufeng 10 Wang, Kun 10 Zhao, Jianping 9 Liu, Demin 6 Wu, Jilian 5 He, Ruijian 4 Abduwali, Abdurishit 4 Chen, Zhangxin 4 Gao, Zhiming 4 Li, Jingwei 4 Li, Ning 4 Peng, Gang 4 Qian, Lingzhi 4 Qiao, Yuanyang 3 Eskar, Rena 3 He, Guoliang 3 Li, Zhilin 3 Tang, Tao 3 Xu, Hui 3 Yang, Jiang 3 Yuan, Jinyun 3 Zhang, Zhinan 2 Cheng, Fangxiong 2 Gui, Dongwei 2 Hu, Jianlan 2 Hu, Xiaohui 2 Huang, Xueling 2 Ju, Lili 2 Lu, Xiaoli 2 Meng, Jixiang 2 Shao, Long 2 Si, Zhiyong 2 Sun, Haiyan 2 Sun, Ming 2 Tong, Fenghua 2 Wang, Huan 2 Wei, LeiLei 2 Xie, Cong 2 Zhang, Xindong 2 Zhao, Shubo 2 Zulhumar, Kadir 1 Adil, Nazakat 1 Brown, Ronald H. 1 Cai, Yongyong 1 Chen, Jinru 1 Chen, Xiaobo 1 Dong, Xiaojing 1 Fiordilino, Joseph Anthony 1 Gartshore, I. S. 1 Haliman Dalihan 1 Haliman, Dalihan 1 Jin, Mengqing 1 Kasim, Ehmet 1 Kim, Imbunm 1 Li, Rongfei 1 Li, Xiao 1 Li, Yuxia 1 Ma, Yanchun 1 Mao, Shipeng 1 Mei, Liquan 1 Meng, Bo 1 Parida, Sailitniyazi 1 Rahman, Talal 1 Rena, Eskar 1 Salcudean, M. 1 Shang, Yueqiang 1 Sheen, Dongwoo 1 Song, Huailing 1 Song, Lina 1 Velinsky, Steven A. 1 Wang, Huanhuan 1 Wang, Weilong 1 Wang, Yunxia 1 Wen, Juan 1 Wu, Wenjuan 1 Xie, Hehu 1 Xu, Jiali 1 Yan, Wenjing 1 Yang, Yanfang 1 Zhang, Huili 1 Zhang, Yinhu 1 Zhu, Tielei all top 5 Serials 14 Applied Mathematics and Computation 12 Journal of Scientific Computing 12 Applied Mathematical Modelling 8 Computers & Mathematics with Applications 7 Numerical Methods for Partial Differential Equations 7 Chinese Journal of Engineering Mathematics 6 Computer Methods in Applied Mechanics and Engineering 6 Applied Numerical Mathematics 5 International Journal of Computational Methods 5 East Asian Journal on Applied Mathematics 4 Computers and Fluids 4 Journal of Computational Physics 4 Journal of Xinjiang University. Natural Science 4 Applied Mathematics Letters 4 Nonlinear Analysis. Real World Applications 3 Applications of Mathematics 3 Numerical Algorithms 3 International Journal of Computer Mathematics 3 SIAM Journal on Scientific Computing 3 International Journal of Numerical Analysis and Modeling 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Journal of Computational and Applied Mathematics 2 Numerical Mathematics 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Engineering Analysis with Boundary Elements 2 Mathematical Problems in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 Mathematical Modelling and Analysis 2 Advances in Difference Equations 2 Journal of Applied Mathematics & Informatics 1 Computer Physics Communications 1 International Journal of Multiphase Flow 1 International Journal of Theoretical Physics 1 Physics Letters. A 1 Mathematics of Computation 1 Biometrika 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Mechanics Research Communications 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics and Mechanics. (English Edition) 1 Mathematics in Practice and Theory 1 Acta Mathematica Hungarica 1 Mathematical and Computer Modelling 1 Journal of Dynamic Systems, Measurement and Control 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Topological Methods in Nonlinear Analysis 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 International Journal of Computational Fluid Dynamics 1 Journal of Mathematical Study 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Modern Optics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Mathematical Reports 1 Journal of Numerical Mathematics 1 Journal of Applied Mathematics and Computing 1 Journal of Computational Acoustics 1 Frontiers of Mathematics in China 1 Communications in Computational Physics 1 Inverse Problems and Imaging 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Applied Mathematics and Mechanics all top 5 Fields 145 Numerical analysis (65-XX) 87 Partial differential equations (35-XX) 67 Fluid mechanics (76-XX) 7 Mechanics of deformable solids (74-XX) 5 Probability theory and stochastic processes (60-XX) 5 Biology and other natural sciences (92-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Ordinary differential equations (34-XX) 4 Classical thermodynamics, heat transfer (80-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 128 Publications have been cited 923 times in 583 Documents Cited by ▼ Year ▼ Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. Zbl 1302.65224Feng, Xinlong; Tang, Tao; Yang, Jiang 46 2013 Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang 37 2013 Long time numerical simulations for phase-field problems using \(p\)-adaptive spectral deferred correction methods. Zbl 1327.65161Feng, Xinlong; Tang, Tao; Yang, Jiang 37 2015 An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. Zbl 1349.65356Zhai, Shuying; Feng, Xinlong; He, Yinnian 32 2014 An efficient algorithm for solving Troesch’s problem. Zbl 1122.65373Feng, Xinlong; Mei, Liquan; He, Guoliang 30 2007 The local discontinuous Galerkin finite element method for Burger’s equation. Zbl 1235.65115Shao, Long; Feng, Xinlong; He, Yinnian 27 2011 Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model. Zbl 1446.65135Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong 22 2016 A Fourier spectral method for fractional-in-space Cahn-Hilliard equation. Zbl 1443.65255Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong 21 2017 Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method. Zbl 1360.35100Zhai, Shuying; Feng, Xinlong; He, Yinnian 18 2014 High order iterative methods without derivatives for solving nonlinear equations. Zbl 1119.65036Feng, Xinlong; He, Yinnian 17 2007 Exploratory approach to explicit solution of nonlinear evolution equations. Zbl 0962.35033Feng, X. 16 2000 Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations. Zbl 1302.76103Huang, Pengzhan; Feng, Xinlong; Liu, Demin 15 2012 The stabilized semi-implicit finite element method for the surface Allen-Cahn equation. Zbl 1366.65091Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun 15 2017 A family of fourth-order and sixth-order compact difference schemes for the three-dimensional Poisson equation. Zbl 1259.65160Zhai, Shuying; Feng, Xinlong; He, Yinnian 15 2013 Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations. Zbl 1351.76060Huang, Pengzhan; Feng, Xinlong; He, Yinnian 14 2013 \(H^2\)-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations. Zbl 1334.76078He, Yinnian; Huang, Pengzhan; Feng, Xinlong 14 2015 Iterative methods in penalty finite element discretization for the steady MHD equations. Zbl 1423.76281Su, Haiyan; Feng, Xinlong; Huang, Pengzhan 14 2016 Two-level penalty Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics equations. Zbl 1397.76078Su, Haiyan; Feng, Xinlong; Zhao, Jianping 13 2017 A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation. Zbl 1410.65420Zhai, Shuying; Feng, Xinlong; He, Yinnian 13 2014 Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem. Zbl 1235.74286Huang, Pengzhan; He, Yinnian; Feng, Xinlong 12 2011 On error estimates of the penalty method for the viscoelastic flow problem. I: Time discretization. Zbl 1201.76196Wang, Kun; He, Yinnian; Feng, Xinlong 12 2010 Two-level defect-correction locally stabilized finite element method for the steady Navier-Stokes equations. Zbl 1261.35108Huang, Pengzhan; Feng, Xinlong; Su, Haiyan 12 2013 Two-level stabilized finite element method for Stokes eigenvalue problem. Zbl 1266.65192Huang, Peng-zhan; He, Yin-nian; Feng, Xin-long 11 2012 Finite element method for two-dimensional time-fractional Tricomi-type equations. Zbl 1276.65060Zhang, Xindong; Huang, Pengzhan; Feng, Xinlong; Wei, Leilei 11 2013 Locally stabilized \(P_{1}\)-nonconforming quadrilateral and hexahedral finite element methods for the Stokes equations. Zbl 1233.65088Feng, Xinlong; Kim, Imbunm; Nam, Hyun; Sheen, Dongwoo 11 2011 On uniform in time \(H^2\)-regularity of the solution for the 2D Cahn-Hilliard equation. Zbl 1350.35051He, Yinnian; Feng, Xinlong 11 2016 Numerical simulation of binary fluid-surfactant phase field model coupled with geometric curvature on the curved surface. Zbl 1442.76120Sun, Ming; Feng, Xinlong; Wang, Kun 11 2020 The rank of a random matrix. Zbl 1162.15015Feng, Xinlong; Zhang, Zhinan 10 2007 An efficient time adaptivity based on chemical potential for surface Cahn-Hilliard equation using finite element approximation. Zbl 1433.65183Zhao, Shubo; Xiao, Xufeng; Feng, Xinlong 10 2020 A stabilized finite element method for the time-dependent Stokes equations based on Crank-Nicolson scheme. Zbl 1349.76221Huang, Pengzhan; Feng, Xinlong; Liu, Demin 9 2013 On error estimates of the pressure-correction projection methods for the time-dependent Navier-Stokes equations. Zbl 1432.35168Sun, Haiyan; He, Yinnian; Feng, Xinlong 9 2011 An efficient two-step algorithm for the incompressible flow problem. Zbl 1334.76080Huang, Pengzhan; Feng, Xinlong; He, Yinnian 9 2015 The semi-discrete streamline diffusion finite element method for time-dependent convection-diffusion problems. Zbl 1153.65098Si, Zhiyong; Feng, Xinlong; Abduwali, Abdurishit 9 2008 Concentration of pulp fibers in 3D turbulent channel flow. Zbl 1136.76495Dong, S.; Feng, X.; Salcudean, M.; Gartshore, I. 9 2003 \(P _{1}\)-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations. Zbl 1255.65194Feng, Xinlong; Li, Rongfei; He, Yinnian; Liu, Demin 9 2012 Unconditionally stable Gauge-Uzawa finite element schemes for incompressible natural convection problems with variable density. Zbl 1380.76132Wu, Jilian; Shen, Jie; Feng, Xinlong 9 2017 On error estimates of the fully discrete penalty method for the viscoelastic flow problem. Zbl 1266.76032Wang, Kun; He, Yinnian; Feng, Xinlong 8 2011 A new mixed finite element method based on the Crank-Nicolson scheme for the parabolic problems. Zbl 1252.65170Weng, Zhifeng; Feng, Xinlong; Huang, Pengzhan 8 2012 Uniform \(H^{2}\)-regularity of solution for the 2D Navier-Stokes/Cahn-Hilliard phase field model. Zbl 1338.35085He, Yinnian; Feng, Xinlong 8 2016 Finite volume method based on stabilized finite elements for the nonstationary Navier-Stokes problem. Zbl 1127.76036He, Guoliang; He, Yinnian; Feng, Xinlong 8 2007 Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities. Zbl 1419.65123Su, Haiyan; Mao, Shipeng; Feng, Xinlong 8 2019 Two-level stabilized method based on Newton iteration for the steady Smagorinsky model. Zbl 1261.35122Huang, Pengzhan; Feng, Xinlong; Liu, Demin 8 2013 Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle. Zbl 1486.65146Li, Jingwei; Li, Xiao; Ju, Lili; Feng, Xinlong 8 2021 A stabilized implicit fractional-step method for the time-dependent Navier-Stokes equations using equal-order pairs. Zbl 1245.35082Feng, Xinlong; He, Yinnian; Huang, Pengzhan 7 2012 Second order fully discrete defect-correction scheme for nonstationary conduction-convection problem at high Reynolds number. Zbl 1370.65056Su, Haiyan; Feng, Xinlong; He, Yinnian 7 2017 Exact wave front solutions to two generalized coupled nonlinear physical equations. Zbl 0972.35525Feng, X. 7 1996 Application of homotopy perturbation method to the Bratu-type equations. Zbl 1158.34306Feng, Xinlong; He, Yinnian; Meng, Jixiang 7 2008 Estimation of parameters of the Makeham distribution using the least squares method. Zbl 1131.62088Feng, Xinlong; He, Guoliang; Abdurishit 7 2008 An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations. Zbl 1411.76071Wu, Jilian; Liu, Demin; Feng, Xinlong; Huang, Pengzhan 7 2017 The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle. Zbl 1419.65075Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun 7 2018 Ensemble time-stepping algorithm for the convection-diffusion equation with random diffusivity. Zbl 1417.60057Li, Ning; Fiordilino, Joseph; Feng, Xinlong 7 2019 An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method. Zbl 1427.65365Huang, Pengzhan; Zhao, Jianping; Feng, Xinlong 7 2014 RBF-based meshless local Petrov Galerkin method for the multi-dimensional convection-diffusion-reaction equation. Zbl 1404.65176Li, Jingwei; Feng, Xinlong; He, Yinnian 7 2019 A high accuracy spectral method for space-fractional diffusion equations. Zbl 1324.65133Zhai, Shuying; Gui, Dongwei; Zhao, Jianping; Feng, Xinlong 6 2014 On the generalized SOR-like methods for saddle point problems. Zbl 1295.65035Feng, Xin-Long; Shao, Long 6 2010 An analytic study on the multi-pantograph delay equations with variable coefficients. Zbl 1313.65178Feng, Xinlong 6 2013 Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint. Zbl 1476.65178Li, Jingwei; Ju, Lili; Cai, Yongyong; Feng, Xinlong 6 2021 The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems. Zbl 1236.76041Qian, Lingzhi; Feng, Xinlong; He, Yinnian 6 2012 A positivity-preserving finite volume scheme for three-temperature radiation diffusion equations. Zbl 1440.65112Peng, Gang; Gao, Zhiming; Yan, Wenjing; Feng, Xinlong 6 2020 Pressure-correction projection FEM for time-dependent natural convection problem. Zbl 1373.76106Wu, Jilian; Feng, Xinlong; Liu, Fei 5 2017 New high-order compact ADI algorithms for 3D nonlinear time-fractional convection-diffusion equation. Zbl 1296.65118Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng 5 2013 Investigations on two kinds of two-grid mixed finite element methods for the elliptic eigenvalue problem. Zbl 1268.65157Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying 5 2012 Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equations. Zbl 1228.76040Feng, Xinlong; He, Yinnian; Liu, Demin 5 2011 \(H^{1}\)-stability and convergence of the FE, FV and FD methods for an elliptic equation. Zbl 1291.65342He, Yinnian; Feng, Xinlong 5 2013 Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations. Zbl 1411.76078Zhu, Tielei; Su, Haiyan; Feng, Xinlong 5 2017 A partitioned finite element scheme based on Gauge-Uzawa method for time-dependent MHD equations. Zbl 1388.76160Zhang, Qing; Su, Haiyan; Feng, Xinlong 5 2018 \(H^1\)-super-convergence of center finite difference method based on \(P_1\)-element for the elliptic equation. Zbl 1429.65268Feng, Xinlong; He, Yinnian 5 2014 A quadratic equal-order stabilized finite element method for the conduction-convection equations. Zbl 1290.76064Huang, Pengzhan; Feng, Xinlong; He, Yinnian 4 2013 Large time-stepping method based on the finite element discretization for the Cahn-Hilliard equation. Zbl 1236.65128Yang, Yanfang; Feng, Xinlong; He, Yinnian 4 2011 Error estimates of fully discrete finite element solutions for the 2D Cahn-Hilliard equation with infinite time horizon. Zbl 1365.65209He, Ruijian; Chen, Zhangxin; Feng, Xinlong 4 2017 A new mixed finite element method based on the Crank-Nicolson scheme for Burgers’ equation. Zbl 1399.65327Hu, Xiaohui; Huang, Pengzhan; Feng, Xinlong 4 2016 Convergence of the Crank-Nicolson/Newton scheme for nonlinear parabolic problem. Zbl 1363.65146Feng, Xinlong; He, Yinnian 4 2016 The convergence of a new parallel algorithm for the Navier-Stokes equations. Zbl 1154.65355Feng, Xinlong; He, Yinnian 4 2009 \(H^1\)-superconvergence of a difference finite element method based on the \(P_1-P_1\)-conforming element on non-uniform meshes for the 3D Poisson equation. Zbl 1471.65171He, Ruijian; Feng, Xinlong; Chen, Zhangxin 4 2018 A two-grid stabilized mixed finite element method for semilinear elliptic equations. Zbl 1426.65186Weng, Zhifeng; Feng, Xinlong; Liu, Demin 4 2013 On two-level Oseen penalty iteration methods for the 2D/3D stationary incompressible magnetohydronamics. Zbl 1436.65190Su, Haiyan; Feng, Xinlong; Zhao, Jianping 4 2020 Application of modified homotopy perturbation method for solving the augmented systems. Zbl 1173.65024Feng, Xinlong; He, Yinnian; Meng, Jixiang 3 2009 Recovery-based error estimator for stabilized finite element method for the stationary Navier-Stokes problem. Zbl 1457.65217Song, Lina; Su, Haiyan; Feng, Xinlong 3 2016 An additive average Schwarz method for the plate bending problem. Zbl 1077.74557Feng, X.; Rahman, T. 3 2002 Modified homotopy perturbation method for solving the Stokes equations. Zbl 1219.76034Feng, Xinlong; He, Yinnian 3 2011 Exact traveling wave solutions of some nonlinear physical models. I: The fifth order KdV type equations. Zbl 0968.35100Hu, Jianlan; Feng, X.; Li, Zhi 3 2000 Parametric iterative methods of second-order for solving nonlinear equation. Zbl 1093.65048Feng, Xinlong; He, Yinnian 3 2006 Analysis of two-grid method for semi-linear elliptic equations by new mixed finite element scheme. Zbl 1457.65243Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying 3 2013 The local discontinuous Galerkin finite element method for a class of convection-diffusion equations. Zbl 1259.65153Wu, Wenjuan; Feng, Xinlong; Liu, Demin 3 2013 An improved two-grid finite element method for the Steklov eigenvalue problem. Zbl 1443.65303Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong 3 2015 Analysis of the operator splitting scheme for the Cahn-Hilliard equation with a viscosity term. Zbl 1430.35201Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong 3 2019 A compact integrated RBF method for time fractional convection-diffusion-reaction equations. Zbl 1442.65297Qiao, Yuanyang; Zhao, Jianping; Feng, Xinlong 3 2019 Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method. Zbl 1442.92019Xiao, Xufeng; Feng, Xinlong; He, Yinnian 3 2019 Investigations on several high-order ADI methods for time-space fractional diffusion equation. Zbl 1433.65171Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong; Yuan, Jinyun 3 2019 Second order convergence of the interpolation based on \(Q_1^c\)-element. Zbl 1399.65026He, Ruijian; Feng, Xinlong 2 2016 Second order time-space iterative method for the stationary Navier-Stokes equations. Zbl 1381.76177Huang, Pengzhan; He, Yinnian; Feng, Xinlong 2 2016 On error estimates of the penalty method for the unsteady conduction-convention problems. I: Time discretization. Zbl 1263.76051Sun, Haiyan; He, Yinnian; Feng, Xinlong 2 2012 A new parallel finite element algorithm based on two-grid discretization for the generalized Stokes problem. Zbl 1401.76090Shang, Yue Qiang; He, Yin Nian; Feng, Xin Long 2 2016 Two-level stabilized nonconforming finite element method for the Stokes equations. Zbl 1313.76033Su, Haiyan; Huang, Pengzhan; Feng, Xinlong 2 2013 A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration. Zbl 1246.76054Huang, Pengzhan; He, Yinnian; Feng, Xinlong 2 2012 Numerical methods of new mixed finite element scheme for single-phase compressible flow. Zbl 1359.76191Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng 2 2014 A robust high-order compact method for the three dimensional nonlinear biharmonic equations. Zbl 1359.65236Zhai, Shuying; Feng, Xinlong; He, Yinnian 2 2014 New predictor-corrector methods of second-order for solving nonlinear equations. Zbl 1259.65074Wang, Kun; Feng, Xinlong 2 2011 Three iterative finite element methods for the stationary Smagorinsky model. Zbl 1309.76134Su, Haiyan; Huang, Pengzhan; Wen, Juan; Feng, Xinlong 2 2014 Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. Zbl 1340.65257Feng, Xinlong; Weng, Zhifeng; Xie, Hehu 2 2014 Modeling and numerical simulation of surfactant systems with incompressible fluid flows on surfaces. Zbl 07464741Sun, Ming; Xiao, Xufeng; Feng, Xinlong; Wang, Kun 2 2022 Model order reduction method based on (r)POD-ANNs for parameterized time-dependent partial differential equations. Zbl 07562528Cheng, Fangxiong; Xu, Hui; Feng, Xinlong 1 2022 Difference finite element method for the 3D steady Stokes equations. Zbl 1482.76078Feng, Xinlong; Lu, Xiaoli; He, Yinnian 1 2022 Second order unconditional linear energy stable, rotational velocity correction method for unsteady incompressible magneto-hydrodynamic equations. Zbl 07487192Zhang, Ke; Su, Haiyan; Feng, Xinlong 1 2022 Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle. Zbl 1486.65146Li, Jingwei; Li, Xiao; Ju, Lili; Feng, Xinlong 8 2021 Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint. Zbl 1476.65178Li, Jingwei; Ju, Lili; Cai, Yongyong; Feng, Xinlong 6 2021 A meshless local radial point collocation method for simulating the time-fractional convection-diffusion equations on surfaces. Zbl 07446905Qiao, Yuanyang; Feng, Xinlong; He, Yinnian 1 2021 Stability and error estimate of the operator splitting method for the phase field crystal equation. Zbl 1456.65136Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong; He, Yinnian 1 2021 Fourth order compact FD methods for convection diffusion equations with variable coefficients. Zbl 07411664Tong, Fenghua; Feng, Xinlong; Li, Zhilin 1 2021 Fully decoupled, linear and positivity-preserving scheme for the chemotaxis-Stokes equations. Zbl 07415057Huang, Xueling; Feng, Xinlong; Xiao, Xufeng; Wang, Kun 1 2021 Numerical simulation of binary fluid-surfactant phase field model coupled with geometric curvature on the curved surface. Zbl 1442.76120Sun, Ming; Feng, Xinlong; Wang, Kun 11 2020 An efficient time adaptivity based on chemical potential for surface Cahn-Hilliard equation using finite element approximation. Zbl 1433.65183Zhao, Shubo; Xiao, Xufeng; Feng, Xinlong 10 2020 A positivity-preserving finite volume scheme for three-temperature radiation diffusion equations. Zbl 1440.65112Peng, Gang; Gao, Zhiming; Yan, Wenjing; Feng, Xinlong 6 2020 On two-level Oseen penalty iteration methods for the 2D/3D stationary incompressible magnetohydronamics. Zbl 1436.65190Su, Haiyan; Feng, Xinlong; Zhao, Jianping 4 2020 Novel fractional time-stepping algorithms for natural convection problems with variable density. Zbl 1448.76145Wu, Jilian; Wei, Leilei; Feng, Xinlong 2 2020 A novel cell-centered finite volume scheme with positivity-preserving property for the anisotropic diffusion problems on general polyhedral meshes. Zbl 1437.65166Peng, Gang; Gao, Zhiming; Feng, Xinlong 2 2020 How to obtain an accurate gradient for interface problems? Zbl 1453.65387Tong, Fenghua; Wang, Weilong; Feng, Xinlong; Zhao, Jianping; Li, Zhilin 1 2020 Crank-Nicolson leap-frog time stepping decoupled scheme for the fluid-fluid interaction problems. Zbl 1447.65088Qian, Lingzhi; Feng, Xinlong; He, Yinnian 1 2020 A Petrov-Galerkin finite element method for simulating chemotaxis models on stationary surfaces. Zbl 1452.92011Zhao, Shubo; Xiao, Xufeng; Zhao, Jianping; Feng, Xinlong 1 2020 \(H^1\)-superconvergence of finite difference method based on \(Q_1\)-element on quasi-uniform mesh for the 3D Poisson equation. Zbl 1450.65137Feng, Xinlong; He, Ruijian; Chen, Zhangxin 1 2020 A layers capturing type H-adaptive finite element method for convection-diffusion-reaction equations on surfaces. Zbl 1442.65399Xiao, Xufeng; Zhao, Jianping; Feng, Xinlong 1 2020 Estimation of error variance via ridge regression. Zbl 1441.62187Liu, X.; Zheng, S.; Feng, X. 1 2020 Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities. Zbl 1419.65123Su, Haiyan; Mao, Shipeng; Feng, Xinlong 8 2019 Ensemble time-stepping algorithm for the convection-diffusion equation with random diffusivity. Zbl 1417.60057Li, Ning; Fiordilino, Joseph; Feng, Xinlong 7 2019 RBF-based meshless local Petrov Galerkin method for the multi-dimensional convection-diffusion-reaction equation. Zbl 1404.65176Li, Jingwei; Feng, Xinlong; He, Yinnian 7 2019 Analysis of the operator splitting scheme for the Cahn-Hilliard equation with a viscosity term. Zbl 1430.35201Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong 3 2019 A compact integrated RBF method for time fractional convection-diffusion-reaction equations. Zbl 1442.65297Qiao, Yuanyang; Zhao, Jianping; Feng, Xinlong 3 2019 Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method. Zbl 1442.92019Xiao, Xufeng; Feng, Xinlong; He, Yinnian 3 2019 Investigations on several high-order ADI methods for time-space fractional diffusion equation. Zbl 1433.65171Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong; Yuan, Jinyun 3 2019 Strong limit theorems for arrays of rowwise independent random variables under sublinear expectation. Zbl 1449.60047Feng, X.; Lan, Y. 1 2019 The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle. Zbl 1419.65075Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun 7 2018 A partitioned finite element scheme based on Gauge-Uzawa method for time-dependent MHD equations. Zbl 1388.76160Zhang, Qing; Su, Haiyan; Feng, Xinlong 5 2018 \(H^1\)-superconvergence of a difference finite element method based on the \(P_1-P_1\)-conforming element on non-uniform meshes for the 3D Poisson equation. Zbl 1471.65171He, Ruijian; Feng, Xinlong; Chen, Zhangxin 4 2018 A potential flow model with viscous dissipation based on a modified boundary element method. Zbl 1404.76177Feng, X.; Chen, Xiao-Bo; Dias, F. 2 2018 A new high-order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation. Zbl 1455.65128Eskar, Rena; Huang, Pengzhan; Feng, Xinlong 2 2018 A Fourier spectral method for fractional-in-space Cahn-Hilliard equation. Zbl 1443.65255Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong 21 2017 The stabilized semi-implicit finite element method for the surface Allen-Cahn equation. Zbl 1366.65091Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun 15 2017 Two-level penalty Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics equations. Zbl 1397.76078Su, Haiyan; Feng, Xinlong; Zhao, Jianping 13 2017 Unconditionally stable Gauge-Uzawa finite element schemes for incompressible natural convection problems with variable density. Zbl 1380.76132Wu, Jilian; Shen, Jie; Feng, Xinlong 9 2017 Second order fully discrete defect-correction scheme for nonstationary conduction-convection problem at high Reynolds number. Zbl 1370.65056Su, Haiyan; Feng, Xinlong; He, Yinnian 7 2017 An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations. Zbl 1411.76071Wu, Jilian; Liu, Demin; Feng, Xinlong; Huang, Pengzhan 7 2017 Pressure-correction projection FEM for time-dependent natural convection problem. Zbl 1373.76106Wu, Jilian; Feng, Xinlong; Liu, Fei 5 2017 Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations. Zbl 1411.76078Zhu, Tielei; Su, Haiyan; Feng, Xinlong 5 2017 Error estimates of fully discrete finite element solutions for the 2D Cahn-Hilliard equation with infinite time horizon. Zbl 1365.65209He, Ruijian; Chen, Zhangxin; Feng, Xinlong 4 2017 The Hermitian positive definite solution of the nonlinear matrix equation. Zbl 1401.15014Zhang, Xindong; Feng, Xinlong 2 2017 Local projection stabilized and characteristic decoupled scheme for the fluid-fluid interaction problems. Zbl 1397.76075Qian, Lingzhi; Chen, Jinru; Feng, Xinlong 1 2017 Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model. Zbl 1446.65135Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong 22 2016 Iterative methods in penalty finite element discretization for the steady MHD equations. Zbl 1423.76281Su, Haiyan; Feng, Xinlong; Huang, Pengzhan 14 2016 On uniform in time \(H^2\)-regularity of the solution for the 2D Cahn-Hilliard equation. Zbl 1350.35051He, Yinnian; Feng, Xinlong 11 2016 Uniform \(H^{2}\)-regularity of solution for the 2D Navier-Stokes/Cahn-Hilliard phase field model. Zbl 1338.35085He, Yinnian; Feng, Xinlong 8 2016 A new mixed finite element method based on the Crank-Nicolson scheme for Burgers’ equation. Zbl 1399.65327Hu, Xiaohui; Huang, Pengzhan; Feng, Xinlong 4 2016 Convergence of the Crank-Nicolson/Newton scheme for nonlinear parabolic problem. Zbl 1363.65146Feng, Xinlong; He, Yinnian 4 2016 Recovery-based error estimator for stabilized finite element method for the stationary Navier-Stokes problem. Zbl 1457.65217Song, Lina; Su, Haiyan; Feng, Xinlong 3 2016 Second order convergence of the interpolation based on \(Q_1^c\)-element. Zbl 1399.65026He, Ruijian; Feng, Xinlong 2 2016 Second order time-space iterative method for the stationary Navier-Stokes equations. Zbl 1381.76177Huang, Pengzhan; He, Yinnian; Feng, Xinlong 2 2016 A new parallel finite element algorithm based on two-grid discretization for the generalized Stokes problem. Zbl 1401.76090Shang, Yue Qiang; He, Yin Nian; Feng, Xin Long 2 2016 Long time numerical simulations for phase-field problems using \(p\)-adaptive spectral deferred correction methods. Zbl 1327.65161Feng, Xinlong; Tang, Tao; Yang, Jiang 37 2015 \(H^2\)-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations. Zbl 1334.76078He, Yinnian; Huang, Pengzhan; Feng, Xinlong 14 2015 An efficient two-step algorithm for the incompressible flow problem. Zbl 1334.76080Huang, Pengzhan; Feng, Xinlong; He, Yinnian 9 2015 An improved two-grid finite element method for the Steklov eigenvalue problem. Zbl 1443.65303Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong 3 2015 Modified method of characteristics variational multiscale finite element method for time dependent Navier-Stokes problems. Zbl 07387172Si, Zhiyong; Wang, Yunxia; Feng, Xinlong 1 2015 An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. Zbl 1349.65356Zhai, Shuying; Feng, Xinlong; He, Yinnian 32 2014 Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method. Zbl 1360.35100Zhai, Shuying; Feng, Xinlong; He, Yinnian 18 2014 A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation. Zbl 1410.65420Zhai, Shuying; Feng, Xinlong; He, Yinnian 13 2014 An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method. Zbl 1427.65365Huang, Pengzhan; Zhao, Jianping; Feng, Xinlong 7 2014 A high accuracy spectral method for space-fractional diffusion equations. Zbl 1324.65133Zhai, Shuying; Gui, Dongwei; Zhao, Jianping; Feng, Xinlong 6 2014 \(H^1\)-super-convergence of center finite difference method based on \(P_1\)-element for the elliptic equation. Zbl 1429.65268Feng, Xinlong; He, Yinnian 5 2014 Numerical methods of new mixed finite element scheme for single-phase compressible flow. Zbl 1359.76191Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng 2 2014 A robust high-order compact method for the three dimensional nonlinear biharmonic equations. Zbl 1359.65236Zhai, Shuying; Feng, Xinlong; He, Yinnian 2 2014 Three iterative finite element methods for the stationary Smagorinsky model. Zbl 1309.76134Su, Haiyan; Huang, Pengzhan; Wen, Juan; Feng, Xinlong 2 2014 Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. Zbl 1340.65257Feng, Xinlong; Weng, Zhifeng; Xie, Hehu 2 2014 A new coupled high-order compact method for the three-dimensional nonlinear biharmonic equations. Zbl 1304.65234Zhai, Shuying; Feng, Xinlong 1 2014 Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. Zbl 1302.65224Feng, Xinlong; Tang, Tao; Yang, Jiang 46 2013 Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang 37 2013 A family of fourth-order and sixth-order compact difference schemes for the three-dimensional Poisson equation. Zbl 1259.65160Zhai, Shuying; Feng, Xinlong; He, Yinnian 15 2013 Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations. Zbl 1351.76060Huang, Pengzhan; Feng, Xinlong; He, Yinnian 14 2013 Two-level defect-correction locally stabilized finite element method for the steady Navier-Stokes equations. Zbl 1261.35108Huang, Pengzhan; Feng, Xinlong; Su, Haiyan 12 2013 Finite element method for two-dimensional time-fractional Tricomi-type equations. Zbl 1276.65060Zhang, Xindong; Huang, Pengzhan; Feng, Xinlong; Wei, Leilei 11 2013 A stabilized finite element method for the time-dependent Stokes equations based on Crank-Nicolson scheme. Zbl 1349.76221Huang, Pengzhan; Feng, Xinlong; Liu, Demin 9 2013 Two-level stabilized method based on Newton iteration for the steady Smagorinsky model. Zbl 1261.35122Huang, Pengzhan; Feng, Xinlong; Liu, Demin 8 2013 An analytic study on the multi-pantograph delay equations with variable coefficients. Zbl 1313.65178Feng, Xinlong 6 2013 New high-order compact ADI algorithms for 3D nonlinear time-fractional convection-diffusion equation. Zbl 1296.65118Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng 5 2013 \(H^{1}\)-stability and convergence of the FE, FV and FD methods for an elliptic equation. Zbl 1291.65342He, Yinnian; Feng, Xinlong 5 2013 A quadratic equal-order stabilized finite element method for the conduction-convection equations. Zbl 1290.76064Huang, Pengzhan; Feng, Xinlong; He, Yinnian 4 2013 A two-grid stabilized mixed finite element method for semilinear elliptic equations. Zbl 1426.65186Weng, Zhifeng; Feng, Xinlong; Liu, Demin 4 2013 Analysis of two-grid method for semi-linear elliptic equations by new mixed finite element scheme. Zbl 1457.65243Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying 3 2013 The local discontinuous Galerkin finite element method for a class of convection-diffusion equations. Zbl 1259.65153Wu, Wenjuan; Feng, Xinlong; Liu, Demin 3 2013 Two-level stabilized nonconforming finite element method for the Stokes equations. Zbl 1313.76033Su, Haiyan; Huang, Pengzhan; Feng, Xinlong 2 2013 A new mixed finite element scheme for second order elliptic eigenvalue problem. Zbl 1313.65299Weng, Zhifeng; Haliman, Dalihan; Feng, Xinlong 1 2013 Error estimates for two-level penalty finite volume method for the stationary Navier-Stokes equations. Zbl 1273.76289Huang, Pengzhan; Feng, Xinlong 1 2013 Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations. Zbl 1277.76039Huang, Pengzhan; He, Yinnian; Feng, Xinlong 1 2013 Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations. Zbl 1302.76103Huang, Pengzhan; Feng, Xinlong; Liu, Demin 15 2012 Two-level stabilized finite element method for Stokes eigenvalue problem. Zbl 1266.65192Huang, Peng-zhan; He, Yin-nian; Feng, Xin-long 11 2012 \(P _{1}\)-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations. Zbl 1255.65194Feng, Xinlong; Li, Rongfei; He, Yinnian; Liu, Demin 9 2012 A new mixed finite element method based on the Crank-Nicolson scheme for the parabolic problems. Zbl 1252.65170Weng, Zhifeng; Feng, Xinlong; Huang, Pengzhan 8 2012 A stabilized implicit fractional-step method for the time-dependent Navier-Stokes equations using equal-order pairs. Zbl 1245.35082Feng, Xinlong; He, Yinnian; Huang, Pengzhan 7 2012 The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems. Zbl 1236.76041Qian, Lingzhi; Feng, Xinlong; He, Yinnian 6 2012 Investigations on two kinds of two-grid mixed finite element methods for the elliptic eigenvalue problem. Zbl 1268.65157Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying 5 2012 On error estimates of the penalty method for the unsteady conduction-convention problems. I: Time discretization. Zbl 1263.76051Sun, Haiyan; He, Yinnian; Feng, Xinlong 2 2012 A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration. Zbl 1246.76054Huang, Pengzhan; He, Yinnian; Feng, Xinlong 2 2012 ...and 28 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 833 Authors 80 Feng, Xinlong 44 He, Yinnian 31 Huang, Pengzhan 20 Weng, Zhifeng 17 Kim, Junseok 16 Zhai, Shuying 15 Yang, Junxiang 14 Shang, Yueqiang 14 Wang, Kun 14 Wei, LeiLei 13 Si, Zhiyong 11 Dehghan Takht Fooladi, Mehdi 11 Su, Haiyan 11 Xiao, Xufeng 10 Shi, Dongyang 10 Yuan, Jinyun 8 Zhang, Xindong 8 Zhao, Jianping 7 Jia, Hongen 7 Li, Hong 6 Abbaszadeh, Mostafa 6 Liu, Yang 6 Mei, Liquan 5 Hou, Yanren 5 Huang, Yunqing 5 Hueso, José Luis 5 Ju, Lili 5 Karniadakis, George Em 5 Li, Jingwei 5 Li, Yibao 5 Liu, Demin 5 Martínez, Eulalia 5 Pan, Kejia 5 Wang, Yunxia 5 Wen, Juan 5 Xu, Yan 4 Dong, Xiaojing 4 Fang, Zhichao 4 Gong, Yuezheng 4 Gu, Xian-Ming 4 Jiang, Nan 4 Jin, Jiaojiao 4 Lee, Chaeyoung 4 Li, Dong 4 Li, Huanrong 4 Li, Xiao 4 Qian, Yanxia 4 Qiao, Zhonghua 4 Shu, Shi 4 Sun, Haiwei 4 Tan, Zhijun 4 Tang, Tao 4 Wang, Danxia 4 Wang, Jinfeng 4 Wang, Qi 4 Yang, Huaijun 4 Yang, Jiang 4 Yue, Xiaoqiang 4 Zhang, Guodong 4 Zhao, Jia 4 Zou, Guang’an 3 An, Rong 3 Awasthi, Ashish 3 Chen, Zhangxin 3 Cordero, Alicia 3 Ding, Qianqian 3 Ercole, Grey 3 Guo, Ruihan 3 He, Ruijian 3 He, Siriguleng 3 He, Xiaoming 3 Hong, Qi 3 Huang, Jianguo 3 Huang, Qiumei 3 Itzá-Balam, Reymundo 3 Jeong, Darae 3 Kou, Jisheng 3 Lee, Hyun Geun 3 Lee, Seunggyu Lee 3 Li, Meng 3 Li, Xiaoli 3 Li, Zhilin 3 Liu, Juan 3 Lu, Xiaoli 3 Mangasarian, Olvi L. 3 Mao, Shipeng 3 Martins, Eder Marinho 3 Mohammadi, Vahid 3 Mukundan, Vijitha 3 Pani, Amiya Kumar 3 Qian, Lingzhi 3 Shen, Jie 3 Shin, Jaemin 3 Song, Fangying 3 Song, Huailing 3 Song, Zhengyuan 3 Tang, Bo 3 Temimi, Helmi 3 Torregrosa Sanchez, Juan Ramón 3 Vázquez-Leal, Héctor ...and 733 more Authors all top 5 Cited in 110 Serials 45 Computers & Mathematics with Applications 43 Applied Mathematics and Computation 43 Journal of Scientific Computing 36 Journal of Computational and Applied Mathematics 32 Applied Numerical Mathematics 28 Journal of Computational Physics 20 Numerical Algorithms 15 Computer Methods in Applied Mechanics and Engineering 15 International Journal of Computer Mathematics 13 Applied Mathematical Modelling 12 Mathematics and Computers in Simulation 12 Advances in Applied Mathematics and Mechanics 10 Applied Mathematics Letters 10 Mathematical Problems in Engineering 9 Journal of Mathematical Analysis and Applications 9 Computational and Applied Mathematics 9 Communications in Computational Physics 8 Numerical Methods for Partial Differential Equations 7 Computers and Fluids 7 Calcolo 7 SIAM Journal on Scientific Computing 7 Journal of Applied Mathematics and Computing 7 International Journal of Computational Methods 6 Mathematical Methods in the Applied Sciences 6 SIAM Journal on Numerical Analysis 6 Advances in Computational Mathematics 6 Engineering Analysis with Boundary Elements 6 East Asian Journal on Applied Mathematics 5 Journal of Mathematical Chemistry 5 Advances in Difference Equations 5 Optimization Letters 4 Applications of Mathematics 4 Discrete Dynamics in Nature and Society 4 Discrete and Continuous Dynamical Systems. 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