# zbMATH — the first resource for mathematics

## Hou, Yanren

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 Author ID: hou.yanren Published as: Hou, Y.; Hou, Yan Ren; Hou, Yan-Ren; Hou, Yan-ren; Hou, Yanren
 Documents Indexed: 114 Publications since 1987
all top 5

#### Co-Authors

 3 single-authored 15 Zheng, Haibiao 13 Zhang, Yunzhang 12 Li, Kaitai 11 Song, Lina 10 Liu, Qingfang 10 Shan, Li 9 Zhang, Yuhong 8 Jiang, Jinping 8 Zhao, Jianping 5 Song, Xueli 5 Wang, Xiaoxia 5 Wei, Hongbo 5 Zuo, Liyun 4 Du, Guangzhi 4 He, Yinnian 4 Qin, Yi 4 Shi, Feng 3 Liu, Qingchang 3 Mu, Baoying 3 Rong, Yao 2 Li, Yi 2 Li, Yi 2 Li, Yongfei 2 Mei, Liquan 2 Pei, Shuaichao 2 Tang, Bo 2 Wang, Qi 2 Xue, Dandan 2 You, Bo 1 Cai, Zhiqiang 1 Cao, Yong 1 Ding, Lei 1 Dong, Xiaojing 1 Du, Conghui 1 Gui, Dongwei 1 Huang, Pengzhan 1 Jia, Hongen 1 Kumar, Sunil 1 Layton, William J. 1 Li, Buyang 1 Li, Fang 1 Li, Jingzhi 1 Li, Rui 1 Li, Yi 1 Liu, Wenjia 1 Mattheij, Robert M. M. 1 Sun, Weiwei 1 Wang, Haifeng 1 Wang, Yongshuai 1 Wang, ZhiHeng 1 Wu, Yan 1 Yang, Ganshan 1 Zhao, Haiyun 1 Zhao, Jiakun 1 Zhao, Ren 1 Zuo, Hongliang
all top 5

#### Serials

 9 Numerical Methods for Partial Differential Equations 8 Computers & Mathematics with Applications 7 Applied Mathematics and Mechanics. (English Edition) 6 International Journal of Computer Mathematics 5 Journal of Computational and Applied Mathematics 5 SIAM Journal on Numerical Analysis 5 Applied Numerical Mathematics 5 Chinese Journal of Engineering Mathematics 4 Applied Mathematics and Computation 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational Physics 3 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 Discrete and Continuous Dynamical Systems 3 Mathematical Problems in Engineering 2 International Journal for Numerical Methods in Fluids 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Mathematica Numerica Sinica 2 Journal of Computational Mathematics 2 Applied Mathematical Modelling 2 Advances in Computational Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Australian Mathematical Society 1 Computers and Fluids 1 Journal of Engineering Mathematics 1 Acta Mathematica Sinica 1 Mathematische Zeitschrift 1 Journal of Xi’an Jiaotong University 1 Acta Applicandae Mathematicae 1 Journal of Northwest University. Natural Sciences Edition 1 Journal of Jiangxi Normal University. Natural Science Edition 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Numerical Algorithms 1 SIAM Journal on Scientific Computing 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Pure and Applied Mathematics 1 International Journal of Computational Fluid Dynamics 1 Discrete Dynamics in Nature and Society 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Discrete and Continuous Dynamical Systems. Series B 1 Advances in Difference Equations 1 Inverse Problems and Imaging 1 Advances in Applied Mathematics and Mechanics 1 Fuzzy Systems and Mathematics 1 Journal of Mathematical Research with Applications
all top 5

#### Fields

 80 Numerical analysis (65-XX) 78 Fluid mechanics (76-XX) 45 Partial differential equations (35-XX) 10 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Ordinary differential equations (34-XX) 2 General topology (54-XX) 1 Mathematical logic and foundations (03-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH

75 Publications have been cited 599 times in 301 Documents Cited by Year
A finite element variational multiscale method for incompressible flows based on two local Gauss integrations. Zbl 1168.76028
Zheng, Haibiao; Hou, Yanren; Shi, Feng; Song, Lina
2009
An AIM and one-step Newton method for the Navier-Stokes equations. Zbl 1011.76045
Li, Kaitai; Hou, Yanren
2001
Optimal error estimates of a decoupled scheme based on two-grid finite element for mixed Stokes-Darcy model. Zbl 1408.76367
Hou, Yanren
2016
A decoupling two-grid algorithm for the mixed Stokes-Darcy model with the Beavers-Joseph interface condition. Zbl 1355.76038
Zuo, Liyun; Hou, Yanren
2014
A posteriori error estimates of stabilization of low-order mixed finite elements for incompressible flow. Zbl 1410.76206
Zheng, Haibiao; Hou, Yanren; Shi, Feng
2010
Error estimates of splitting Galerkin methods for heat and sweat transport in textile materials. Zbl 1439.74421
Hou, Yanren; Li, Buyang; Sun, Weiwei
2013
A two-grid decoupling method for the mixed Stokes-Darcy model. Zbl 1334.76157
Zuo, Liyun; Hou, Yanren
2015
Numerical analysis for the mixed Navier-Stokes and Darcy problem with the Beavers-Joseph interface condition. Zbl 1329.76194
Zuo, Liyun; Hou, Yanren
2015
A two-level finite element method for the Navier-Stokes equations based on a new projection. Zbl 1185.76815
Liu, Qingfang; Hou, Yanren
2010
Adaptive variational multiscale methods for incompressible flow based on two local Gauss integrations. Zbl 1425.76067
Zheng, Haibiao; Hou, Yanren; Shi, Feng
2010
A two-level defect-correction method for Navier-Stokes equations. Zbl 1352.76086
Liu, Qingfang; Hou, Yanren
2010
Postprocessing Fourier Galerkin method for the Navier-Stokes equations. Zbl 1406.65096
Hou, Yanren; Li, Kaitai
2009
A quadratic equal-order stabilized method for Stokes problem based on two local Gauss integrations. Zbl 1425.35168
Zheng, Haibiao; Shan, Li; Hou, Yanren
2010
Numerical analysis of the Crank-Nicolson extrapolation time discrete scheme for magnetohydrodynamics flows. Zbl 1331.76075
Zhang, Yuhong; Hou, Yanren; Shan, Li
2015
A posteriori error estimation and adaptive computation of conduction convection problems. Zbl 1217.76040
Zhang, Yunzhang; Hou, Yanren; Zuo, Hongliang
2011
The global attractor of g-Navier-Stokes equations with linear dampness on $$R^2$$. Zbl 1172.76009
Jiang, Jinping; Hou, Yanren
2009
A modified local and parallel finite element method for the mixed Stokes-Darcy model. Zbl 1331.76067
Du, Guangzhi; Hou, Yanren; Zuo, Liyun
2016
Error analysis of a fully discrete finite element variational multiscale method for the natural convection problem. Zbl 1362.76056
Zhang, Yunzhang; Hou, Yanren; Zhao, Jianping
2014
A postprocessing mixed finite element method for the Navier-Stokes equations. Zbl 1172.76024
Liu, Qingfang; Hou, Yanren
2009
Full discrete two-level correction scheme for Navier-Stokes equations. Zbl 1174.76009
Hou, Yanren; Mei, Liquan
2008
The uniform attractor for the 2D non-autonomous Navier-Stokes flow in some unbounded domain. Zbl 1057.35031
Hou, Yanren; Li, Kaitai
2004
Attractors for the three-dimensional incompressible Navier-Stokes equations with damping. Zbl 1222.35038
Song, Xue-Li; Hou, Yan-Ren
2011
Stability and convergence analysis of a decoupled algorithm for a fluid-fluid interaction problem. Zbl 1381.76209
Zhang, Yuhong; Hou, Yanren; Shan, Li
2016
Local and parallel finite element methods for the mixed Navier-Stokes/Darcy model. Zbl 1383.76335
Du, Guangzhi; Hou, Yanren; Zuo, Liyun
2016
Subgrid stabilized defect-correction method for a steady-state natural convection problem. Zbl 1381.76210
Zhang, Yunzhang; Hou, Yanren; Jia, Hongen
2014
Recovery-based error estimator for stabilized finite element methods for the Stokes equation. Zbl 1296.76087
Song, Lina; Hou, Yanren; Cai, Zhiqiang
2014
Pullback attractor of 2D non-autonomous $$g$$-Navier-Stokes equations on some bounded domains. Zbl 1209.35023
Jiang, Jin-ping; Hou, Yan-ren
2010
A small eddy correction method for nonlinear dissipative evolutionary equations. Zbl 1130.76390
Hou, Yanren; Li, Kaitai
2003
Adaptive local postprocessing finite element method for the Navier-Stokes equations. Zbl 1366.76057
Song, Lina; Hou, Yanren; Zheng, Haibiao
2013
Defect correction method for time-dependent viscoelastic fluid flow. Zbl 1331.76076
Zhang, Yunzhang; Hou, Yanren; Mu, Baoying
2011
Local and parallel finite element algorithms for time-dependent convection-diffusion equations. Zbl 1178.65118
Liu, Qing-fang; Hou, Yan-ren
2009
The partition of unity parallel finite element algorithm. Zbl 1327.65248
Zheng, Haibiao; Song, Lina; Hou, Yanren; Zhang, Yuhong
2015
A finite element variational multiscale method for steady-state natural convection problem based on two local Gauss integrations. Zbl 06281591
Zhang, Yunzhang; Hou, Yanren; Zheng, Haibiao
2014
Tangent space correction method for the Galerkin approximation based on two-grid finite element. Zbl 1094.65099
Hou, Yanren; Li, Kaitai
2006
Uniform attractors for three-dimensional Navier-Stokes equations with nonlinear damping. Zbl 1302.35067
Song, Xue-li; Hou, Yan-ren
2015
A variational multiscale method based on bubble functions for convection-dominated convection-diffusion equation. Zbl 1342.65221
Song, Lina; Hou, Yanren; Zheng, Haibiao
2010
A fully discrete stabilized finite element method for the time-dependent Navier-Stokes equations. Zbl 1172.76027
Shan, Li; Hou, Yanren
2009
A second-order partitioned method with different subdomain time steps for the evolutionary Stokes-Darcy system. Zbl 1392.35230
Li, Yi; Hou, Yanren
2018
New local and parallel finite element algorithm based on the partition of unity. Zbl 1330.65183
Zheng, Haibiao; Shi, Feng; Hou, Yanren; Zhao, Jianping; Cao, Yong; Zhao, Ren
2016
A parallel partition of unity method for the time-dependent convection-diffusion equations. Zbl 1357.65172
Du, Guangzhi; Hou, Yanren
2015
Dimension splitting algorithm for a three-dimensional elliptic equation. Zbl 1242.65238
Hou, Yanren; Wei, Hongbo
2012
Pullback attractor of 2D nonautonomous $$g$$-Navier-Stokes equations with linear dampness. Zbl 1209.35024
Jiang, Jin-ping; Hou, Yan-ren; Wang, Xiao-xia
2011
Optimal error estimates of both coupled and two-grid decoupled methods for a mixed Stokes-Stokes model. Zbl 1404.65234
Zhang, Yuhong; Zheng, Haibiao; Hou, Yanren; Shan, Li
2018
A partitioned second-order method for magnetohydrodynamic flows at small magnetic Reynolds numbers. Zbl 1390.65119
Rong, Yao; Hou, Yanren
2017
A two-level method in time and space for solving the Navier-Stokes equations based on Newton iteration. Zbl 1268.76016
Liu, Qingfang; Hou, Yanren; Liu, Qingchang
2012
Variational multiscale method based on the Crank-Nicolson extrapolation scheme for the non-stationary Navier-Stokes equations. Zbl 1264.76084
Shan, Li; Hou, Yanren; Zheng, Haibiao
2012
Adaptive mixed least squares Galerkin/Petrov finite element method for stationary conduction convection problems. Zbl 1237.76078
Zhang, Yun-zhang; Hou, Yan-ren; Wei, Hong-bo
2011
A defect-correction method for time-dependent viscoelastic fluid flow based on SUPG formulation. Zbl 1284.76260
Zhang, Yunzhang; Hou, Yanren; Yang, Ganshan
2011
Optimal error estimates of a decoupled scheme based on two-grid finite element for mixed Navier-Stokes/Darcy model. Zbl 1438.65276
Qin, Yi; Hou, Yanren
2018
Error estimates of a decoupled algorithm for a fluid-fluid interaction problem. Zbl 06824491
Zhang, Yuhong; Hou, Yanren; Shan, Li
2018
Local and parallel finite element algorithm for stationary incompressible magnetohydrodynamics. Zbl 1394.65151
Zhang, Yuhong; Hou, Yanren; Shan, Li; Dong, Xiaojing
2017
The Crank-Nicolson extrapolation stabilized finite element method for natural convection problem. Zbl 1407.76080
Zhang, Yunzhang; Hou, Yanren
2014
A two-level method in space and time for the Navier-Stokes equations. Zbl 1274.76253
Liu, Qingfang; Hou, Yanren; Liu, Qingchang
2013
A posteriori error estimation for a defect correction method applied to conduction convection problems. Zbl 1364.76104
Zhang, Yunzhang; Hou, Yanren; Du, Conghui
2013
The extended fractional subequation method for nonlinear fractional differential equations. Zbl 1264.35272
Zhao, Jianping; Tang, Bo; Kumar, Sunil; Hou, Yanren
2012
Pullback $$\mathcal{D}$$-attractors for the non-autonomous Newton-Boussinesq equation in two-dimensional bounded domain. Zbl 1235.35045
Song, Xue-Li; Hou, Yan-Ren
2012
The two-grid stabilization of equal-order finite elements for the Stokes equations. Zbl 1370.76087
Song, Lina; Hou, Yanren; Zheng, Haibiao
2011
Galerkin and subspace decomposition methods in space and time for the Navier-Stokes equations. Zbl 1213.35340
He, Yinnian; Hou, Yanren
2011
A numerical method with particle conservation for the Maxwell-Dirac system. Zbl 1189.81051
Li, Xiang-Gui; Chan, C. K.; Hou, Y.
2010
Numerical analysis of a second order algorithm for simplified magnetohydrodynamic flows. Zbl 1433.76091
Rong, Yao; Hou, Yanren; Zhang, Yuhong
2017
Pullback attractors for the non-autonomous quasi-linear complex Ginzburg-Landau equation with $$p$$-Laplacian. Zbl 1351.37261
You, Bo; Hou, Yanren; Li, Fang; Jiang, Jinping
2014
Immersed interface method for elliptic equations based on a piecewise second order polynomial. Zbl 1247.65139
Zhao, Jianping; Hou, Yanren; Li, Yongfei
2012
A two-level correction method in space and time based on Crank-Nicolson scheme for Navier-Stokes equations. Zbl 1337.76048
Liu, Qingfang; Hou, Yanren
2010
Stability and convergence of optimum spectral nonlinear Galerkin methods. Zbl 1006.35077
He, Yinnian; Hou, Yanren; Li, Kaitai
2001
Fourier nonlinear Galerkin method for Navier-Stokes equations. Zbl 0982.76537
Li, Kaitai; Hou, Yanren
1996
New approach to prove the stability of a decoupled algorithm for a fluid-fluid interaction problem. Zbl 1440.65239
Zhang, Yuhong; Shan, Li; Hou, Yanren
2020
A linearly second-order energy stable scheme for the phase field crystal model. Zbl 1432.82028
Pei, Shuaichao; Hou, Yanren; You, Bo
2019
A stabilized finite volume method for the evolutionary Stokes-Darcy system. Zbl 1409.76076
Li, Yi; Hou, Yanren; Li, Rui
2018
An expandable local and parallel two-grid finite element scheme. Zbl 1443.65337
Hou, Yanren; Du, GuangZhi
2016
Determining an obstacle by far-field data measured at a few spots. Zbl 1332.78023
Wang, Qi; Hou, Yanren
2015
Uniform attractors for a non-autonomous Brinkman-Forchheimer equation. Zbl 1265.35033
Song, Xueli; Hou, Yanren
2012
A stabilized semi-implicit Galerkin scheme for Navier-Stokes equations. Zbl 1167.76031
Hou, Yanren; Liu, Qingfang
2009
Global finite element nonlinear Galerkin method for the penalized Navier-Stokes equations. Zbl 1056.76046
He, Yinnian; Hou, Yanren; Mei, Liquan
2001
The stability of two types of nonlinear Galerkin algorithm with variable time steps. Zbl 0944.65101
He, Yinnian; Hou, Yanren
1999
Fourier nonlinear Galerkin approximation for the two-dimensional Navier-Stokes equations. Zbl 0884.76014
Hou, Yanren
1996
New approach to prove the stability of a decoupled algorithm for a fluid-fluid interaction problem. Zbl 1440.65239
Zhang, Yuhong; Shan, Li; Hou, Yanren
2020
A linearly second-order energy stable scheme for the phase field crystal model. Zbl 1432.82028
Pei, Shuaichao; Hou, Yanren; You, Bo
2019
A second-order partitioned method with different subdomain time steps for the evolutionary Stokes-Darcy system. Zbl 1392.35230
Li, Yi; Hou, Yanren
2018
Optimal error estimates of both coupled and two-grid decoupled methods for a mixed Stokes-Stokes model. Zbl 1404.65234
Zhang, Yuhong; Zheng, Haibiao; Hou, Yanren; Shan, Li
2018
Optimal error estimates of a decoupled scheme based on two-grid finite element for mixed Navier-Stokes/Darcy model. Zbl 1438.65276
Qin, Yi; Hou, Yanren
2018
Error estimates of a decoupled algorithm for a fluid-fluid interaction problem. Zbl 06824491
Zhang, Yuhong; Hou, Yanren; Shan, Li
2018
A stabilized finite volume method for the evolutionary Stokes-Darcy system. Zbl 1409.76076
Li, Yi; Hou, Yanren; Li, Rui
2018
A partitioned second-order method for magnetohydrodynamic flows at small magnetic Reynolds numbers. Zbl 1390.65119
Rong, Yao; Hou, Yanren
2017
Local and parallel finite element algorithm for stationary incompressible magnetohydrodynamics. Zbl 1394.65151
Zhang, Yuhong; Hou, Yanren; Shan, Li; Dong, Xiaojing
2017
Numerical analysis of a second order algorithm for simplified magnetohydrodynamic flows. Zbl 1433.76091
Rong, Yao; Hou, Yanren; Zhang, Yuhong
2017
Optimal error estimates of a decoupled scheme based on two-grid finite element for mixed Stokes-Darcy model. Zbl 1408.76367
Hou, Yanren
2016
A modified local and parallel finite element method for the mixed Stokes-Darcy model. Zbl 1331.76067
Du, Guangzhi; Hou, Yanren; Zuo, Liyun
2016
Stability and convergence analysis of a decoupled algorithm for a fluid-fluid interaction problem. Zbl 1381.76209
Zhang, Yuhong; Hou, Yanren; Shan, Li
2016
Local and parallel finite element methods for the mixed Navier-Stokes/Darcy model. Zbl 1383.76335
Du, Guangzhi; Hou, Yanren; Zuo, Liyun
2016
New local and parallel finite element algorithm based on the partition of unity. Zbl 1330.65183
Zheng, Haibiao; Shi, Feng; Hou, Yanren; Zhao, Jianping; Cao, Yong; Zhao, Ren
2016
An expandable local and parallel two-grid finite element scheme. Zbl 1443.65337
Hou, Yanren; Du, GuangZhi
2016
A two-grid decoupling method for the mixed Stokes-Darcy model. Zbl 1334.76157
Zuo, Liyun; Hou, Yanren
2015
Numerical analysis for the mixed Navier-Stokes and Darcy problem with the Beavers-Joseph interface condition. Zbl 1329.76194
Zuo, Liyun; Hou, Yanren
2015
Numerical analysis of the Crank-Nicolson extrapolation time discrete scheme for magnetohydrodynamics flows. Zbl 1331.76075
Zhang, Yuhong; Hou, Yanren; Shan, Li
2015
The partition of unity parallel finite element algorithm. Zbl 1327.65248
Zheng, Haibiao; Song, Lina; Hou, Yanren; Zhang, Yuhong
2015
Uniform attractors for three-dimensional Navier-Stokes equations with nonlinear damping. Zbl 1302.35067
Song, Xue-li; Hou, Yan-ren
2015
A parallel partition of unity method for the time-dependent convection-diffusion equations. Zbl 1357.65172
Du, Guangzhi; Hou, Yanren
2015
Determining an obstacle by far-field data measured at a few spots. Zbl 1332.78023
Wang, Qi; Hou, Yanren
2015
A decoupling two-grid algorithm for the mixed Stokes-Darcy model with the Beavers-Joseph interface condition. Zbl 1355.76038
Zuo, Liyun; Hou, Yanren
2014
Error analysis of a fully discrete finite element variational multiscale method for the natural convection problem. Zbl 1362.76056
Zhang, Yunzhang; Hou, Yanren; Zhao, Jianping
2014
Subgrid stabilized defect-correction method for a steady-state natural convection problem. Zbl 1381.76210
Zhang, Yunzhang; Hou, Yanren; Jia, Hongen
2014
Recovery-based error estimator for stabilized finite element methods for the Stokes equation. Zbl 1296.76087
Song, Lina; Hou, Yanren; Cai, Zhiqiang
2014
A finite element variational multiscale method for steady-state natural convection problem based on two local Gauss integrations. Zbl 06281591
Zhang, Yunzhang; Hou, Yanren; Zheng, Haibiao
2014
The Crank-Nicolson extrapolation stabilized finite element method for natural convection problem. Zbl 1407.76080
Zhang, Yunzhang; Hou, Yanren
2014
Pullback attractors for the non-autonomous quasi-linear complex Ginzburg-Landau equation with $$p$$-Laplacian. Zbl 1351.37261
You, Bo; Hou, Yanren; Li, Fang; Jiang, Jinping
2014
Error estimates of splitting Galerkin methods for heat and sweat transport in textile materials. Zbl 1439.74421
Hou, Yanren; Li, Buyang; Sun, Weiwei
2013
Adaptive local postprocessing finite element method for the Navier-Stokes equations. Zbl 1366.76057
Song, Lina; Hou, Yanren; Zheng, Haibiao
2013
A two-level method in space and time for the Navier-Stokes equations. Zbl 1274.76253
Liu, Qingfang; Hou, Yanren; Liu, Qingchang
2013
A posteriori error estimation for a defect correction method applied to conduction convection problems. Zbl 1364.76104
Zhang, Yunzhang; Hou, Yanren; Du, Conghui
2013
Dimension splitting algorithm for a three-dimensional elliptic equation. Zbl 1242.65238
Hou, Yanren; Wei, Hongbo
2012
A two-level method in time and space for solving the Navier-Stokes equations based on Newton iteration. Zbl 1268.76016
Liu, Qingfang; Hou, Yanren; Liu, Qingchang
2012
Variational multiscale method based on the Crank-Nicolson extrapolation scheme for the non-stationary Navier-Stokes equations. Zbl 1264.76084
Shan, Li; Hou, Yanren; Zheng, Haibiao
2012
The extended fractional subequation method for nonlinear fractional differential equations. Zbl 1264.35272
Zhao, Jianping; Tang, Bo; Kumar, Sunil; Hou, Yanren
2012
Pullback $$\mathcal{D}$$-attractors for the non-autonomous Newton-Boussinesq equation in two-dimensional bounded domain. Zbl 1235.35045
Song, Xue-Li; Hou, Yan-Ren
2012
Immersed interface method for elliptic equations based on a piecewise second order polynomial. Zbl 1247.65139
Zhao, Jianping; Hou, Yanren; Li, Yongfei
2012
Uniform attractors for a non-autonomous Brinkman-Forchheimer equation. Zbl 1265.35033
Song, Xueli; Hou, Yanren
2012
A posteriori error estimation and adaptive computation of conduction convection problems. Zbl 1217.76040
Zhang, Yunzhang; Hou, Yanren; Zuo, Hongliang
2011
Attractors for the three-dimensional incompressible Navier-Stokes equations with damping. Zbl 1222.35038
Song, Xue-Li; Hou, Yan-Ren
2011
Defect correction method for time-dependent viscoelastic fluid flow. Zbl 1331.76076
Zhang, Yunzhang; Hou, Yanren; Mu, Baoying
2011
Pullback attractor of 2D nonautonomous $$g$$-Navier-Stokes equations with linear dampness. Zbl 1209.35024
Jiang, Jin-ping; Hou, Yan-ren; Wang, Xiao-xia
2011
Adaptive mixed least squares Galerkin/Petrov finite element method for stationary conduction convection problems. Zbl 1237.76078
Zhang, Yun-zhang; Hou, Yan-ren; Wei, Hong-bo
2011
A defect-correction method for time-dependent viscoelastic fluid flow based on SUPG formulation. Zbl 1284.76260
Zhang, Yunzhang; Hou, Yanren; Yang, Ganshan
2011
The two-grid stabilization of equal-order finite elements for the Stokes equations. Zbl 1370.76087
Song, Lina; Hou, Yanren; Zheng, Haibiao
2011
Galerkin and subspace decomposition methods in space and time for the Navier-Stokes equations. Zbl 1213.35340
He, Yinnian; Hou, Yanren
2011
A posteriori error estimates of stabilization of low-order mixed finite elements for incompressible flow. Zbl 1410.76206
Zheng, Haibiao; Hou, Yanren; Shi, Feng
2010
A two-level finite element method for the Navier-Stokes equations based on a new projection. Zbl 1185.76815
Liu, Qingfang; Hou, Yanren
2010
Adaptive variational multiscale methods for incompressible flow based on two local Gauss integrations. Zbl 1425.76067
Zheng, Haibiao; Hou, Yanren; Shi, Feng
2010
A two-level defect-correction method for Navier-Stokes equations. Zbl 1352.76086
Liu, Qingfang; Hou, Yanren
2010
A quadratic equal-order stabilized method for Stokes problem based on two local Gauss integrations. Zbl 1425.35168
Zheng, Haibiao; Shan, Li; Hou, Yanren
2010
Pullback attractor of 2D non-autonomous $$g$$-Navier-Stokes equations on some bounded domains. Zbl 1209.35023
Jiang, Jin-ping; Hou, Yan-ren
2010
A variational multiscale method based on bubble functions for convection-dominated convection-diffusion equation. Zbl 1342.65221
Song, Lina; Hou, Yanren; Zheng, Haibiao
2010
A numerical method with particle conservation for the Maxwell-Dirac system. Zbl 1189.81051
Li, Xiang-Gui; Chan, C. K.; Hou, Y.
2010
A two-level correction method in space and time based on Crank-Nicolson scheme for Navier-Stokes equations. Zbl 1337.76048
Liu, Qingfang; Hou, Yanren
2010
A finite element variational multiscale method for incompressible flows based on two local Gauss integrations. Zbl 1168.76028
Zheng, Haibiao; Hou, Yanren; Shi, Feng; Song, Lina
2009
Postprocessing Fourier Galerkin method for the Navier-Stokes equations. Zbl 1406.65096
Hou, Yanren; Li, Kaitai
2009
The global attractor of g-Navier-Stokes equations with linear dampness on $$R^2$$. Zbl 1172.76009
Jiang, Jinping; Hou, Yanren
2009
A postprocessing mixed finite element method for the Navier-Stokes equations. Zbl 1172.76024
Liu, Qingfang; Hou, Yanren
2009
Local and parallel finite element algorithms for time-dependent convection-diffusion equations. Zbl 1178.65118
Liu, Qing-fang; Hou, Yan-ren
2009
A fully discrete stabilized finite element method for the time-dependent Navier-Stokes equations. Zbl 1172.76027
Shan, Li; Hou, Yanren
2009
A stabilized semi-implicit Galerkin scheme for Navier-Stokes equations. Zbl 1167.76031
Hou, Yanren; Liu, Qingfang
2009
Full discrete two-level correction scheme for Navier-Stokes equations. Zbl 1174.76009
Hou, Yanren; Mei, Liquan
2008
Tangent space correction method for the Galerkin approximation based on two-grid finite element. Zbl 1094.65099
Hou, Yanren; Li, Kaitai
2006
The uniform attractor for the 2D non-autonomous Navier-Stokes flow in some unbounded domain. Zbl 1057.35031
Hou, Yanren; Li, Kaitai
2004
A small eddy correction method for nonlinear dissipative evolutionary equations. Zbl 1130.76390
Hou, Yanren; Li, Kaitai
2003
An AIM and one-step Newton method for the Navier-Stokes equations. Zbl 1011.76045
Li, Kaitai; Hou, Yanren
2001
Stability and convergence of optimum spectral nonlinear Galerkin methods. Zbl 1006.35077
He, Yinnian; Hou, Yanren; Li, Kaitai
2001
Global finite element nonlinear Galerkin method for the penalized Navier-Stokes equations. Zbl 1056.76046
He, Yinnian; Hou, Yanren; Mei, Liquan
2001
The stability of two types of nonlinear Galerkin algorithm with variable time steps. Zbl 0944.65101
He, Yinnian; Hou, Yanren
1999
Fourier nonlinear Galerkin method for Navier-Stokes equations. Zbl 0982.76537
Li, Kaitai; Hou, Yanren
1996
Fourier nonlinear Galerkin approximation for the two-dimensional Navier-Stokes equations. Zbl 0884.76014
Hou, Yanren
1996
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#### Cited by 377 Authors

 53 Hou, Yanren 23 He, Yinnian 20 Zheng, Haibiao 13 An, Rong 13 Huang, Pengzhan 13 Shang, Yueqiang 12 Feng, Xinlong 12 Li, Jian 11 Du, Guangzhi 11 Zhang, Yunzhang 10 Shi, Dongyang 10 Shi, Feng 10 Zuo, Liyun 9 Shan, Li 9 Song, Lina 8 Li, Yuan 8 Mei, Liquan 8 Zhang, Yuhong 7 Li, Kaitai 7 Yu, Jiaping 6 Chen, Zhangxin 6 Gatica, Gabriel N. 6 Liu, Qingfang 6 Zhao, Jianping 5 Al Mahbub, Md. Abdullah 5 Gao, Huadong 5 Jia, Hongen 5 Novo, Julia 5 Oyarzúa, Ricardo 5 Qin, Yi 5 Qiu, Hailong 5 Sun, Weiwei 5 Zhang, Tong 4 Cung The Anh 4 Gao, Yali 4 Li, Rui 4 Liu, Demin 4 Nasu, Nasrin Jahan 4 Qian, Yanxia 4 Si, Zhiyong 4 Wang, Jilu 4 Yang, Xinguang 3 Cai, Wentao 3 de Frutos, Javier 3 Dong, Xiaojing 3 García-Archilla, Bosco 3 He, Xiaoming 3 Huang, Yunqing 3 Jiang, Jinping 3 Li, Fuzhi 3 Li, Juntao 3 Li, Xianggui 3 Lin, Yanping 3 Liu, Qian 3 Liu, Qingchang 3 Qin, Jin 3 Quyet, Dao Trong 3 Rong, Yao 3 Song, Xueli 3 Wang, Junjun 3 Wang, Kun 3 Wei, Hongbo 3 Weng, Zhifeng 3 Yan, Wenjing 3 Zhang, Guodong 3 Zhang, Yamiao 3 Zhao, Caidi 2 Aggul, Mustafa 2 Alvarez, Mario M. 2 Cai, Mingchao 2 Choi, Jung-Il 2 Colmenares, Eligio 2 Durango, Francisco 2 Erkmen, Dilek 2 Fiordilino, Joseph Anthony 2 Gao, Hongjun 2 Gómez-Vargas, Bryan 2 Han, Danfu 2 Hecht, Frédéric 2 Huang, Peiqi 2 Hussain, Shahid 2 Jin, Jiaojiao 2 Kaya, Songul 2 Kim, Kyoungyoun 2 Labovsky, Alexander E. 2 Layton, William J. 2 Lee, Changhoon 2 Lei, Gang 2 Li, Buyang 2 Li, Fang 2 Li, Lingxiao 2 Li, Yi 2 Li, Yi 2 Liu, Hui 2 Lu, Xiliang 2 Mao, Shipeng 2 Nguyen, Viet Tuan 2 Pan, Xiaomin 2 Pani, Amiya Kumar 2 Ruiz-Baier, Ricardo ...and 277 more Authors
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#### Cited in 69 Serials

 24 Journal of Computational and Applied Mathematics 24 Journal of Scientific Computing 22 Computers & Mathematics with Applications 21 Applied Numerical Mathematics 18 Numerical Methods for Partial Differential Equations 16 Applied Mathematics and Computation 11 Computer Methods in Applied Mechanics and Engineering 9 Journal of Mathematical Analysis and Applications 7 Applied Mathematical Modelling 7 International Journal of Computer Mathematics 7 Advances in Computational Mathematics 6 Numerische Mathematik 6 SIAM Journal on Numerical Analysis 6 Applied Mathematics and Mechanics. (English Edition) 6 Mathematical Problems in Engineering 6 Advances in Difference Equations 6 Boundary Value Problems 5 Journal of Computational Physics 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Abstract and Applied Analysis 4 Computers and Fluids 4 Mathematical Methods in the Applied Sciences 4 Applied Mathematics Letters 4 Numerical Algorithms 4 SIAM Journal on Scientific Computing 4 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Mathematical Physics 3 Acta Mathematica Vietnamica 3 Computational and Applied Mathematics 2 Applicable Analysis 2 Journal of Engineering Mathematics 2 Mathematics of Computation 2 Computing 2 Applications of Mathematics 2 Engineering Analysis with Boundary Elements 2 International Journal of Computational Fluid Dynamics 2 Discrete Dynamics in Nature and Society 2 Nonlinear Analysis. Real World Applications 2 Journal of Numerical Mathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 International Journal for Numerical Methods in Fluids 1 Reviews in Mathematical Physics 1 Calcolo 1 Journal of Differential Equations 1 Journal of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Random Operators and Stochastic Equations 1 Discrete and Continuous Dynamical Systems 1 Differential Equations and Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 Communications of the Korean Mathematical Society 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Methods in Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications on Pure and Applied Analysis 1 Journal of Applied Mathematics and Computing 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Acta Mechanica Sinica 1 Journal of Applied Analysis and Computation 1 Electronic Research Archive
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#### Cited in 20 Fields

 234 Numerical analysis (65-XX) 207 Fluid mechanics (76-XX) 132 Partial differential equations (35-XX) 15 Dynamical systems and ergodic theory (37-XX) 12 Classical thermodynamics, heat transfer (80-XX) 7 Mechanics of deformable solids (74-XX) 4 Geophysics (86-XX) 3 Optics, electromagnetic theory (78-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Systems theory; control (93-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)