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Author ID: feng.xinlong Recent zbMATH articles by "Feng, Xinlong"
Published as: Feng, Xinlong; Feng, Xin-long; Feng, Xin Long; Feng, Xin-Long
Documents Indexed: 174 Publications since 1990
Co-Authors: 80 Co-Authors with 156 Joint Publications
2,411 Co-Co-Authors
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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

Publications by Year

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 1302.65224
Feng, Xinlong; Tang, Tao; Yang, Jiang
46
2013
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111
Feng, 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 1327.65161
Feng, Xinlong; Tang, Tao; Yang, Jiang
37
2015
An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. Zbl 1349.65356
Zhai, Shuying; Feng, Xinlong; He, Yinnian
32
2014
An efficient algorithm for solving Troesch’s problem. Zbl 1122.65373
Feng, Xinlong; Mei, Liquan; He, Guoliang
30
2007
The local discontinuous Galerkin finite element method for Burger’s equation. Zbl 1235.65115
Shao, Long; Feng, Xinlong; He, Yinnian
27
2011
Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model. Zbl 1446.65135
Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong
22
2016
A Fourier spectral method for fractional-in-space Cahn-Hilliard equation. Zbl 1443.65255
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong
21
2017
Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method. Zbl 1360.35100
Zhai, Shuying; Feng, Xinlong; He, Yinnian
18
2014
High order iterative methods without derivatives for solving nonlinear equations. Zbl 1119.65036
Feng, Xinlong; He, Yinnian
17
2007
Exploratory approach to explicit solution of nonlinear evolution equations. Zbl 0962.35033
Feng, X.
16
2000
Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations. Zbl 1302.76103
Huang, Pengzhan; Feng, Xinlong; Liu, Demin
15
2012
The stabilized semi-implicit finite element method for the surface Allen-Cahn equation. Zbl 1366.65091
Xiao, 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 1259.65160
Zhai, Shuying; Feng, Xinlong; He, Yinnian
15
2013
Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations. Zbl 1351.76060
Huang, 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 1334.76078
He, Yinnian; Huang, Pengzhan; Feng, Xinlong
14
2015
Iterative methods in penalty finite element discretization for the steady MHD equations. Zbl 1423.76281
Su, Haiyan; Feng, Xinlong; Huang, Pengzhan
14
2016
Two-level penalty Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics equations. Zbl 1397.76078
Su, Haiyan; Feng, Xinlong; Zhao, Jianping
13
2017
A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation. Zbl 1410.65420
Zhai, Shuying; Feng, Xinlong; He, Yinnian
13
2014
Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem. Zbl 1235.74286
Huang, Pengzhan; He, Yinnian; Feng, Xinlong
12
2011
On error estimates of the penalty method for the viscoelastic flow problem. I: Time discretization. Zbl 1201.76196
Wang, Kun; He, Yinnian; Feng, Xinlong
12
2010
Two-level defect-correction locally stabilized finite element method for the steady Navier-Stokes equations. Zbl 1261.35108
Huang, Pengzhan; Feng, Xinlong; Su, Haiyan
12
2013
Two-level stabilized finite element method for Stokes eigenvalue problem. Zbl 1266.65192
Huang, Peng-zhan; He, Yin-nian; Feng, Xin-long
11
2012
Finite element method for two-dimensional time-fractional Tricomi-type equations. Zbl 1276.65060
Zhang, 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 1233.65088
Feng, 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 1350.35051
He, Yinnian; Feng, Xinlong
11
2016
Numerical simulation of binary fluid-surfactant phase field model coupled with geometric curvature on the curved surface. Zbl 1442.76120
Sun, Ming; Feng, Xinlong; Wang, Kun
11
2020
The rank of a random matrix. Zbl 1162.15015
Feng, Xinlong; Zhang, Zhinan
10
2007
An efficient time adaptivity based on chemical potential for surface Cahn-Hilliard equation using finite element approximation. Zbl 1433.65183
Zhao, Shubo; Xiao, Xufeng; Feng, Xinlong
10
2020
A stabilized finite element method for the time-dependent Stokes equations based on Crank-Nicolson scheme. Zbl 1349.76221
Huang, Pengzhan; Feng, Xinlong; Liu, Demin
9
2013
On error estimates of the pressure-correction projection methods for the time-dependent Navier-Stokes equations. Zbl 1432.35168
Sun, Haiyan; He, Yinnian; Feng, Xinlong
9
2011
An efficient two-step algorithm for the incompressible flow problem. Zbl 1334.76080
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
9
2015
The semi-discrete streamline diffusion finite element method for time-dependent convection-diffusion problems. Zbl 1153.65098
Si, Zhiyong; Feng, Xinlong; Abduwali, Abdurishit
9
2008
Concentration of pulp fibers in 3D turbulent channel flow. Zbl 1136.76495
Dong, S.; Feng, X.; Salcudean, M.; Gartshore, I.
9
2003
\(P _{1}\)-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations. Zbl 1255.65194
Feng, 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 1380.76132
Wu, Jilian; Shen, Jie; Feng, Xinlong
9
2017
On error estimates of the fully discrete penalty method for the viscoelastic flow problem. Zbl 1266.76032
Wang, Kun; He, Yinnian; Feng, Xinlong
8
2011
A new mixed finite element method based on the Crank-Nicolson scheme for the parabolic problems. Zbl 1252.65170
Weng, Zhifeng; Feng, Xinlong; Huang, Pengzhan
8
2012
Uniform \(H^{2}\)-regularity of solution for the 2D Navier-Stokes/Cahn-Hilliard phase field model. Zbl 1338.35085
He, Yinnian; Feng, Xinlong
8
2016
Finite volume method based on stabilized finite elements for the nonstationary Navier-Stokes problem. Zbl 1127.76036
He, Guoliang; He, Yinnian; Feng, Xinlong
8
2007
Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities. Zbl 1419.65123
Su, Haiyan; Mao, Shipeng; Feng, Xinlong
8
2019
Two-level stabilized method based on Newton iteration for the steady Smagorinsky model. Zbl 1261.35122
Huang, Pengzhan; Feng, Xinlong; Liu, Demin
8
2013
Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle. Zbl 1486.65146
Li, 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 1245.35082
Feng, Xinlong; He, Yinnian; Huang, Pengzhan
7
2012
Second order fully discrete defect-correction scheme for nonstationary conduction-convection problem at high Reynolds number. Zbl 1370.65056
Su, Haiyan; Feng, Xinlong; He, Yinnian
7
2017
Exact wave front solutions to two generalized coupled nonlinear physical equations. Zbl 0972.35525
Feng, X.
7
1996
Application of homotopy perturbation method to the Bratu-type equations. Zbl 1158.34306
Feng, Xinlong; He, Yinnian; Meng, Jixiang
7
2008
Estimation of parameters of the Makeham distribution using the least squares method. Zbl 1131.62088
Feng, Xinlong; He, Guoliang; Abdurishit
7
2008
An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations. Zbl 1411.76071
Wu, 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 1419.65075
Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun
7
2018
Ensemble time-stepping algorithm for the convection-diffusion equation with random diffusivity. Zbl 1417.60057
Li, Ning; Fiordilino, Joseph; Feng, Xinlong
7
2019
An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method. Zbl 1427.65365
Huang, Pengzhan; Zhao, Jianping; Feng, Xinlong
7
2014
RBF-based meshless local Petrov Galerkin method for the multi-dimensional convection-diffusion-reaction equation. Zbl 1404.65176
Li, Jingwei; Feng, Xinlong; He, Yinnian
7
2019
A high accuracy spectral method for space-fractional diffusion equations. Zbl 1324.65133
Zhai, Shuying; Gui, Dongwei; Zhao, Jianping; Feng, Xinlong
6
2014
On the generalized SOR-like methods for saddle point problems. Zbl 1295.65035
Feng, Xin-Long; Shao, Long
6
2010
An analytic study on the multi-pantograph delay equations with variable coefficients. Zbl 1313.65178
Feng, Xinlong
6
2013
Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint. Zbl 1476.65178
Li, Jingwei; Ju, Lili; Cai, Yongyong; Feng, Xinlong
6
2021
The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems. Zbl 1236.76041
Qian, Lingzhi; Feng, Xinlong; He, Yinnian
6
2012
A positivity-preserving finite volume scheme for three-temperature radiation diffusion equations. Zbl 1440.65112
Peng, Gang; Gao, Zhiming; Yan, Wenjing; Feng, Xinlong
6
2020
Pressure-correction projection FEM for time-dependent natural convection problem. Zbl 1373.76106
Wu, Jilian; Feng, Xinlong; Liu, Fei
5
2017
New high-order compact ADI algorithms for 3D nonlinear time-fractional convection-diffusion equation. Zbl 1296.65118
Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng
5
2013
Investigations on two kinds of two-grid mixed finite element methods for the elliptic eigenvalue problem. Zbl 1268.65157
Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying
5
2012
Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equations. Zbl 1228.76040
Feng, Xinlong; He, Yinnian; Liu, Demin
5
2011
\(H^{1}\)-stability and convergence of the FE, FV and FD methods for an elliptic equation. Zbl 1291.65342
He, Yinnian; Feng, Xinlong
5
2013
Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations. Zbl 1411.76078
Zhu, Tielei; Su, Haiyan; Feng, Xinlong
5
2017
A partitioned finite element scheme based on Gauge-Uzawa method for time-dependent MHD equations. Zbl 1388.76160
Zhang, 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 1429.65268
Feng, Xinlong; He, Yinnian
5
2014
A quadratic equal-order stabilized finite element method for the conduction-convection equations. Zbl 1290.76064
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
4
2013
Large time-stepping method based on the finite element discretization for the Cahn-Hilliard equation. Zbl 1236.65128
Yang, 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 1365.65209
He, Ruijian; Chen, Zhangxin; Feng, Xinlong
4
2017
A new mixed finite element method based on the Crank-Nicolson scheme for Burgers’ equation. Zbl 1399.65327
Hu, Xiaohui; Huang, Pengzhan; Feng, Xinlong
4
2016
Convergence of the Crank-Nicolson/Newton scheme for nonlinear parabolic problem. Zbl 1363.65146
Feng, Xinlong; He, Yinnian
4
2016
The convergence of a new parallel algorithm for the Navier-Stokes equations. Zbl 1154.65355
Feng, 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 1471.65171
He, Ruijian; Feng, Xinlong; Chen, Zhangxin
4
2018
A two-grid stabilized mixed finite element method for semilinear elliptic equations. Zbl 1426.65186
Weng, Zhifeng; Feng, Xinlong; Liu, Demin
4
2013
On two-level Oseen penalty iteration methods for the 2D/3D stationary incompressible magnetohydronamics. Zbl 1436.65190
Su, Haiyan; Feng, Xinlong; Zhao, Jianping
4
2020
Application of modified homotopy perturbation method for solving the augmented systems. Zbl 1173.65024
Feng, Xinlong; He, Yinnian; Meng, Jixiang
3
2009
Recovery-based error estimator for stabilized finite element method for the stationary Navier-Stokes problem. Zbl 1457.65217
Song, Lina; Su, Haiyan; Feng, Xinlong
3
2016
An additive average Schwarz method for the plate bending problem. Zbl 1077.74557
Feng, X.; Rahman, T.
3
2002
Modified homotopy perturbation method for solving the Stokes equations. Zbl 1219.76034
Feng, Xinlong; He, Yinnian
3
2011
Exact traveling wave solutions of some nonlinear physical models. I: The fifth order KdV type equations. Zbl 0968.35100
Hu, Jianlan; Feng, X.; Li, Zhi
3
2000
Parametric iterative methods of second-order for solving nonlinear equation. Zbl 1093.65048
Feng, Xinlong; He, Yinnian
3
2006
Analysis of two-grid method for semi-linear elliptic equations by new mixed finite element scheme. Zbl 1457.65243
Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying
3
2013
The local discontinuous Galerkin finite element method for a class of convection-diffusion equations. Zbl 1259.65153
Wu, Wenjuan; Feng, Xinlong; Liu, Demin
3
2013
An improved two-grid finite element method for the Steklov eigenvalue problem. Zbl 1443.65303
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong
3
2015
Analysis of the operator splitting scheme for the Cahn-Hilliard equation with a viscosity term. Zbl 1430.35201
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong
3
2019
A compact integrated RBF method for time fractional convection-diffusion-reaction equations. Zbl 1442.65297
Qiao, Yuanyang; Zhao, Jianping; Feng, Xinlong
3
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
3
2019
Investigations on several high-order ADI methods for time-space fractional diffusion equation. Zbl 1433.65171
Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong; Yuan, Jinyun
3
2019
Second order convergence of the interpolation based on \(Q_1^c\)-element. Zbl 1399.65026
He, Ruijian; Feng, Xinlong
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
On error estimates of the penalty method for the unsteady conduction-convention problems. I: Time discretization. Zbl 1263.76051
Sun, Haiyan; He, Yinnian; Feng, Xinlong
2
2012
A new parallel finite element algorithm based on two-grid discretization for the generalized Stokes problem. Zbl 1401.76090
Shang, Yue Qiang; He, Yin Nian; Feng, Xin Long
2
2016
Two-level stabilized nonconforming finite element method for the Stokes equations. Zbl 1313.76033
Su, Haiyan; Huang, Pengzhan; Feng, Xinlong
2
2013
A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration. Zbl 1246.76054
Huang, Pengzhan; He, Yinnian; Feng, Xinlong
2
2012
Numerical methods of new mixed finite element scheme for single-phase compressible flow. Zbl 1359.76191
Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng
2
2014
A robust high-order compact method for the three dimensional nonlinear biharmonic equations. Zbl 1359.65236
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2
2014
New predictor-corrector methods of second-order for solving nonlinear equations. Zbl 1259.65074
Wang, Kun; Feng, Xinlong
2
2011
Three iterative finite element methods for the stationary Smagorinsky model. Zbl 1309.76134
Su, Haiyan; Huang, Pengzhan; Wen, Juan; Feng, Xinlong
2
2014
Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. Zbl 1340.65257
Feng, Xinlong; Weng, Zhifeng; Xie, Hehu
2
2014
Modeling and numerical simulation of surfactant systems with incompressible fluid flows on surfaces. Zbl 07464741
Sun, 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 07562528
Cheng, Fangxiong; Xu, Hui; Feng, Xinlong
1
2022
Difference finite element method for the 3D steady Stokes equations. Zbl 1482.76078
Feng, Xinlong; Lu, Xiaoli; He, Yinnian
1
2022
Second order unconditional linear energy stable, rotational velocity correction method for unsteady incompressible magneto-hydrodynamic equations. Zbl 07487192
Zhang, Ke; Su, Haiyan; Feng, Xinlong
1
2022
Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle. Zbl 1486.65146
Li, 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 1476.65178
Li, 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 07446905
Qiao, Yuanyang; Feng, Xinlong; He, Yinnian
1
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
1
2021
Fourth order compact FD methods for convection diffusion equations with variable coefficients. Zbl 07411664
Tong, Fenghua; Feng, Xinlong; Li, Zhilin
1
2021
Fully decoupled, linear and positivity-preserving scheme for the chemotaxis-Stokes equations. Zbl 07415057
Huang, 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 1442.76120
Sun, 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 1433.65183
Zhao, Shubo; Xiao, Xufeng; Feng, Xinlong
10
2020
A positivity-preserving finite volume scheme for three-temperature radiation diffusion equations. Zbl 1440.65112
Peng, Gang; Gao, Zhiming; Yan, Wenjing; Feng, Xinlong
6
2020
On two-level Oseen penalty iteration methods for the 2D/3D stationary incompressible magnetohydronamics. Zbl 1436.65190
Su, Haiyan; Feng, Xinlong; Zhao, Jianping
4
2020
Novel fractional time-stepping algorithms for natural convection problems with variable density. Zbl 1448.76145
Wu, 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 1437.65166
Peng, Gang; Gao, Zhiming; Feng, Xinlong
2
2020
How to obtain an accurate gradient for interface problems? Zbl 1453.65387
Tong, 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 1447.65088
Qian, Lingzhi; Feng, Xinlong; He, Yinnian
1
2020
A Petrov-Galerkin finite element method for simulating chemotaxis models on stationary surfaces. Zbl 1452.92011
Zhao, 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 1450.65137
Feng, Xinlong; He, Ruijian; Chen, Zhangxin
1
2020
A layers capturing type H-adaptive finite element method for convection-diffusion-reaction equations on surfaces. Zbl 1442.65399
Xiao, Xufeng; Zhao, Jianping; Feng, Xinlong
1
2020
Estimation of error variance via ridge regression. Zbl 1441.62187
Liu, X.; Zheng, S.; Feng, X.
1
2020
Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities. Zbl 1419.65123
Su, Haiyan; Mao, Shipeng; Feng, Xinlong
8
2019
Ensemble time-stepping algorithm for the convection-diffusion equation with random diffusivity. Zbl 1417.60057
Li, Ning; Fiordilino, Joseph; Feng, Xinlong
7
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
7
2019
Analysis of the operator splitting scheme for the Cahn-Hilliard equation with a viscosity term. Zbl 1430.35201
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong
3
2019
A compact integrated RBF method for time fractional convection-diffusion-reaction equations. Zbl 1442.65297
Qiao, Yuanyang; Zhao, Jianping; Feng, Xinlong
3
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
3
2019
Investigations on several high-order ADI methods for time-space fractional diffusion equation. Zbl 1433.65171
Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong; Yuan, Jinyun
3
2019
Strong limit theorems for arrays of rowwise independent random variables under sublinear expectation. Zbl 1449.60047
Feng, X.; Lan, Y.
1
2019
The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle. Zbl 1419.65075
Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun
7
2018
A partitioned finite element scheme based on Gauge-Uzawa method for time-dependent MHD equations. Zbl 1388.76160
Zhang, 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 1471.65171
He, Ruijian; Feng, Xinlong; Chen, Zhangxin
4
2018
A potential flow model with viscous dissipation based on a modified boundary element method. Zbl 1404.76177
Feng, X.; Chen, Xiao-Bo; Dias, F.
2
2018
A new high-order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation. Zbl 1455.65128
Eskar, Rena; Huang, Pengzhan; Feng, Xinlong
2
2018
A Fourier spectral method for fractional-in-space Cahn-Hilliard equation. Zbl 1443.65255
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong
21
2017
The stabilized semi-implicit finite element method for the surface Allen-Cahn equation. Zbl 1366.65091
Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun
15
2017
Two-level penalty Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics equations. Zbl 1397.76078
Su, Haiyan; Feng, Xinlong; Zhao, Jianping
13
2017
Unconditionally stable Gauge-Uzawa finite element schemes for incompressible natural convection problems with variable density. Zbl 1380.76132
Wu, Jilian; Shen, Jie; Feng, Xinlong
9
2017
Second order fully discrete defect-correction scheme for nonstationary conduction-convection problem at high Reynolds number. Zbl 1370.65056
Su, Haiyan; Feng, Xinlong; He, Yinnian
7
2017
An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations. Zbl 1411.76071
Wu, Jilian; Liu, Demin; Feng, Xinlong; Huang, Pengzhan
7
2017
Pressure-correction projection FEM for time-dependent natural convection problem. Zbl 1373.76106
Wu, Jilian; Feng, Xinlong; Liu, Fei
5
2017
Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations. Zbl 1411.76078
Zhu, 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 1365.65209
He, Ruijian; Chen, Zhangxin; Feng, Xinlong
4
2017
The Hermitian positive definite solution of the nonlinear matrix equation. Zbl 1401.15014
Zhang, Xindong; Feng, Xinlong
2
2017
Local projection stabilized and characteristic decoupled scheme for the fluid-fluid interaction problems. Zbl 1397.76075
Qian, Lingzhi; Chen, Jinru; Feng, Xinlong
1
2017
Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model. Zbl 1446.65135
Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong
22
2016
Iterative methods in penalty finite element discretization for the steady MHD equations. Zbl 1423.76281
Su, Haiyan; Feng, Xinlong; Huang, Pengzhan
14
2016
On uniform in time \(H^2\)-regularity of the solution for the 2D Cahn-Hilliard equation. Zbl 1350.35051
He, Yinnian; Feng, Xinlong
11
2016
Uniform \(H^{2}\)-regularity of solution for the 2D Navier-Stokes/Cahn-Hilliard phase field model. Zbl 1338.35085
He, Yinnian; Feng, Xinlong
8
2016
A new mixed finite element method based on the Crank-Nicolson scheme for Burgers’ equation. Zbl 1399.65327
Hu, Xiaohui; Huang, Pengzhan; Feng, Xinlong
4
2016
Convergence of the Crank-Nicolson/Newton scheme for nonlinear parabolic problem. Zbl 1363.65146
Feng, Xinlong; He, Yinnian
4
2016
Recovery-based error estimator for stabilized finite element method for the stationary Navier-Stokes problem. Zbl 1457.65217
Song, Lina; Su, Haiyan; Feng, Xinlong
3
2016
Second order convergence of the interpolation based on \(Q_1^c\)-element. Zbl 1399.65026
He, Ruijian; Feng, Xinlong
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
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
Long time numerical simulations for phase-field problems using \(p\)-adaptive spectral deferred correction methods. Zbl 1327.65161
Feng, 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 1334.76078
He, Yinnian; Huang, Pengzhan; Feng, Xinlong
14
2015
An efficient two-step algorithm for the incompressible flow problem. Zbl 1334.76080
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
9
2015
An improved two-grid finite element method for the Steklov eigenvalue problem. Zbl 1443.65303
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong
3
2015
Modified method of characteristics variational multiscale finite element method for time dependent Navier-Stokes problems. Zbl 07387172
Si, Zhiyong; Wang, Yunxia; Feng, Xinlong
1
2015
An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. Zbl 1349.65356
Zhai, Shuying; Feng, Xinlong; He, Yinnian
32
2014
Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method. Zbl 1360.35100
Zhai, Shuying; Feng, Xinlong; He, Yinnian
18
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
13
2014
An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method. Zbl 1427.65365
Huang, Pengzhan; Zhao, Jianping; Feng, Xinlong
7
2014
A high accuracy spectral method for space-fractional diffusion equations. Zbl 1324.65133
Zhai, 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 1429.65268
Feng, Xinlong; He, Yinnian
5
2014
Numerical methods of new mixed finite element scheme for single-phase compressible flow. Zbl 1359.76191
Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng
2
2014
A robust high-order compact method for the three dimensional nonlinear biharmonic equations. Zbl 1359.65236
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2
2014
Three iterative finite element methods for the stationary Smagorinsky model. Zbl 1309.76134
Su, Haiyan; Huang, Pengzhan; Wen, Juan; Feng, Xinlong
2
2014
Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. Zbl 1340.65257
Feng, Xinlong; Weng, Zhifeng; Xie, Hehu
2
2014
A new coupled high-order compact method for the three-dimensional nonlinear biharmonic equations. Zbl 1304.65234
Zhai, Shuying; Feng, Xinlong
1
2014
Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. Zbl 1302.65224
Feng, Xinlong; Tang, Tao; Yang, Jiang
46
2013
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111
Feng, 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 1259.65160
Zhai, Shuying; Feng, Xinlong; He, Yinnian
15
2013
Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations. Zbl 1351.76060
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
14
2013
Two-level defect-correction locally stabilized finite element method for the steady Navier-Stokes equations. Zbl 1261.35108
Huang, Pengzhan; Feng, Xinlong; Su, Haiyan
12
2013
Finite element method for two-dimensional time-fractional Tricomi-type equations. Zbl 1276.65060
Zhang, 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 1349.76221
Huang, Pengzhan; Feng, Xinlong; Liu, Demin
9
2013
Two-level stabilized method based on Newton iteration for the steady Smagorinsky model. Zbl 1261.35122
Huang, Pengzhan; Feng, Xinlong; Liu, Demin
8
2013
An analytic study on the multi-pantograph delay equations with variable coefficients. Zbl 1313.65178
Feng, Xinlong
6
2013
New high-order compact ADI algorithms for 3D nonlinear time-fractional convection-diffusion equation. Zbl 1296.65118
Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng
5
2013
\(H^{1}\)-stability and convergence of the FE, FV and FD methods for an elliptic equation. Zbl 1291.65342
He, Yinnian; Feng, Xinlong
5
2013
A quadratic equal-order stabilized finite element method for the conduction-convection equations. Zbl 1290.76064
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
4
2013
A two-grid stabilized mixed finite element method for semilinear elliptic equations. Zbl 1426.65186
Weng, Zhifeng; Feng, Xinlong; Liu, Demin
4
2013
Analysis of two-grid method for semi-linear elliptic equations by new mixed finite element scheme. Zbl 1457.65243
Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying
3
2013
The local discontinuous Galerkin finite element method for a class of convection-diffusion equations. Zbl 1259.65153
Wu, Wenjuan; Feng, Xinlong; Liu, Demin
3
2013
Two-level stabilized nonconforming finite element method for the Stokes equations. Zbl 1313.76033
Su, Haiyan; Huang, Pengzhan; Feng, Xinlong
2
2013
A new mixed finite element scheme for second order elliptic eigenvalue problem. Zbl 1313.65299
Weng, Zhifeng; Haliman, Dalihan; Feng, Xinlong
1
2013
Error estimates for two-level penalty finite volume method for the stationary Navier-Stokes equations. Zbl 1273.76289
Huang, Pengzhan; Feng, Xinlong
1
2013
Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations. Zbl 1277.76039
Huang, Pengzhan; He, Yinnian; Feng, Xinlong
1
2013
Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations. Zbl 1302.76103
Huang, Pengzhan; Feng, Xinlong; Liu, Demin
15
2012
Two-level stabilized finite element method for Stokes eigenvalue problem. Zbl 1266.65192
Huang, Peng-zhan; He, Yin-nian; Feng, Xin-long
11
2012
\(P _{1}\)-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations. Zbl 1255.65194
Feng, 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 1252.65170
Weng, 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 1245.35082
Feng, Xinlong; He, Yinnian; Huang, Pengzhan
7
2012
The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems. Zbl 1236.76041
Qian, Lingzhi; Feng, Xinlong; He, Yinnian
6
2012
Investigations on two kinds of two-grid mixed finite element methods for the elliptic eigenvalue problem. Zbl 1268.65157
Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying
5
2012
On error estimates of the penalty method for the unsteady conduction-convention problems. I: Time discretization. Zbl 1263.76051
Sun, Haiyan; He, Yinnian; Feng, Xinlong
2
2012
A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration. Zbl 1246.76054
Huang, Pengzhan; He, Yinnian; Feng, Xinlong
2
2012
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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
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Cited in 110 Serials

45 Computers & Mathematics with Applications
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1 Information Sciences
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