Journal Papers/期刊论文

  1. Yi Li and Yanren Hou, A Second-Order Artificial Compression Method for the Evolutionary Stokes-Darcy System, Numerical Algorithms, DOI: 10.1007/s11075-019-00791-x;
  2. Yi Qin, Yanren Hou, Pengzhan Huang and Yongshuai Wang, Numerical analysis of two grad-div stabilization methods for the time-dependent Stokes/Darcy model, Computers and Mathematics with Applications, 10.1016/j.camwa.2019.07.032 ;
  3. Dandan Xue, Yanren Hou and Wenjia Liu, Analysis of the parareal method with spectral deferred correction method for the Stokes/Darcy equations, Applied Mathematics and Computation,10.1016/j.amc.2019.124625
  4. Yi Qin and Yanren Hou, The Time Filter for the Non-Stationary Coupled Stokes/Darcy Model, Applied Numerical Mathematics, 146(2019), 260--275;
  5. Shuaichao Pei, Yanren Hou and Bo You, A linearly second-order energy stable scheme for the phase field crystal model, Applied Numerical Mathematics, 140(2019), 134--164;
  6. Yanren Hou, Yi Qin, On the Solution of Coupled Stokes/Darcy Model with Beavers-Joseph Interface Condition, Computers and Mathematics with Applications, 77:1(2019), 50--65;
  7. Yanren Hou, Shuaichao Pei, On the weak solutions to steady Navier-Stokes equations with mixed boundary conditions, Mathematische Zeitschrift, 291:1-2(2019), 47--54;
  8. Shimin Guo, Liquan Mei, Yanren Hou, Zhengqiang Zhang, An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons, Computer Physics Communications, 237:4(2019), 110--128;

  9. Yi Qin, Yanren Hou, Optimal error estimates of a decoupled scheme based on two-grid finite element for mixed Navier-Stokes/Darcy Model, Acta Mathematica Scientia, 38B:4(2018), 1361--1369;
  10. Yi Li, Yanren Hou, A second-order partitioned method with different subdomain time steps for the evolutionary Stokes-Darcy system, Mathematical Methods in Applied Science, 41:5(2018), 2178--2208;
  11. Yi Li, Yanren Hou, Rui Li, A stabilized finite volume method for the evolutionary Stokes–Darcy system, Computers and Mathematics with Applications, 75(2018), 596--613;
  12. Yuhong Zhang, Yanren Hou, Li Shan, Error estimates of a decoupled algorithm for a fluid–fluid interaction problem, Journal of Computational and Applied Mathematics, 333(2018), 266--291;
  13. Yuhong Zhang, Haibiao Zheng, Yanren Hou, Li Shan, Optimal error estimates of both coupled and two-grid decoupled methods for a mixed Stokes–Stokes model, Applied Numerical Mathematics, 133(2018), 116--129;
  14. Yao Rong, Yanren Hou, A Partitioned Second-Order Method for Magnetohydrodynamic Flows at Small Magnetic Reynolds Numbers, Numerical Methods for Partial Differential Equations, 33:6(2017), 1966--1986;
  15. Qi Wang, Yanren Hou, Jingzhi Li, Numerical design of FSHL-based approximate cloaks with arbitrary shapes, Journal of Computational Physics, 333(2017), 142--159;
  16. Yuhong Zhang, Yanren Hou, Li Shan, Xiaojing Dong, Local and Parallel Finite Element Algorithm for Stationary Incompressible Magnetohydrodynamics, Numerical Methods for Partial Differential Equations, 33(2017), 1513--1539;
  17. Yao Rong, Yanren Hou, Yuhong Zhang, Numerical analysis of a second order algorithm for simplified magnetohydrodynamic flows, Advances in Computational Mathematics, 43:4(2017), 823--848;
  18. Xiaoying Zhao, Yanren Hou, Guangzhi Du, A parallel partition of unity method for the unsteady Stokes equations, International Journal of Numerical Methods for Heat & Fluid Flow, 27:9(2017), 2105--2114;
  19. Qingfang Liu, Yanren Hou, Zhiheng Wang, Jiakun Zhao, A two-level consistent splitting scheme for the Navier-Stokes equations, Computers & Fluids, 140(2016), 167--174;
  20. Yuhong Zhang, Yanren Hou, Li Shan, Stability and convergence analysis of a decoupled algorithm for a fluid-fluid interaction problems, SIAM Journal on Numerical Analysis, 54:5(2016), 2833--2867;
  21. Jianping Zhao, Yanren Hou, Haibiao Zheng, Yongfei Li, Haifeng Wang, The application of dimension split method in the three-dimensional heat equation, Numerical Methods in Applied Sciences, 39:12(2016), 3506--3515;
  22. Qingfang Liu, Yanren Hou, Zhiheng Wang, Jiakun Zhao, Two-level methods for the Cahn-Hilliard equation, Mathematics and Computers in Simulation, 126(2016), 89--103;
  23. Guangzhi Du, Yanren Hou, Liyun Zuo, Local and parallel finite element methods for the mixed Navier–Stokes/Darcy model, International Journal of Computer Mathematics, 93:7(2016), 1155--1172;
  24. Yanren Hou, Optimal error estimates of a decoupled scheme based on two-grid finite element for mixed Stokes–Darcy model, Applied Mathematics Letters, 57(2016), 90--96;
  25. Yanren Hou, Guangzhi Du, An expandable local and parallel two-grid finite element scheme, Computers and Mathematics with Applications, 71:12(2016), 2541--2556;
  26. Jianping Zhao, Yanren Hou, Lina Song, Modified intrinsic extended finite element method for elliptic equation with interfaces, Journal of Engineering Mathematics, 97:1(2016), 147--159;
  27. Guangzhi Du, Yanren Hou, Liyun Zuo, A modified local and parallel finite element method for the mixed Stokes–Darcy model, Journal of Mathematical Analysis and Applications, 435:2(2016), 1129--1145;
  28. Qingfang Liu, Yanren Hou, Zhiheng Wang, Jiakun Zhao, Two-level consistent splitting methods based on three corrections for the time-dependent Navier–Stokes equations, International Journal for Numerical Methods in Fluids, 80:7(2016), 429--450;
  29. Haibiao Zheng, Feng Shi, Yanren Hou, Jianping Zhao, Yong Cao, Ren Zhao, New local and parallel finite element algorithm based on the partition of unity, Journal of Mathematical Analysis and Applications, 435(2016), 1--19;
  30. Guangzhi Du, Yanren Hou, A parallel partition of unity method for the time-dependent convection-diffusion equations, International Journal of Numerical Methods for Heat & Fluid Flow, 25:8(2015), 1947--1956;
  31. Yuhong Zhang, Yanren Hou, Li Shan, Numerical analysis of the Crank–Nicolson extrapolation time discrete scheme for magnetohydrodynamics flows, Numerical Methods for Partial Differential Equations, 31:6(2015), 2169--2208;
  32. Haibiao Zheng, Lina Song, Yanren Hou, Yuhong Zhang, The partition of unity parallel finite element algorithm, Advances in Computational Mathematics, 41:4(2015), 937--951;
  33. Liyun Zuo, Yanren Hou, Numerical analysis for the mixed Navier–Stokes and Darcy problem with the Beavers–Joseph interface condition, Numerical Methods for Partial Differential Equations, 31:4(2015), 1009--1030;
  34. Qi Wang, Yanren Hou, Determing an obstacle by far-field data measured at a few spots, Inverse Problems and Imaging, 9:2(2015), 591--600;
  35. Yunzhang Zhang, Yanren Hou, Hongbo Wei, Residual a posteriori error estimate of two-level finite element method for natural convection problem, Chinese Journal of Engineering Mathematics, 32:1(2015), 116--130
  36. Liyun Zuo, Yanren Hou, A two-grid decoupling method for the mixed Stokes–Darcy model, Journal of Computational and Applied Mathematics, 275(2015), 139--147;
  37. Xueli Song, Yanren Hou, Uniform attractors for three-dimensional Navier–Stokes equations with nonlinear damping, Journal of Mathematical Analysis and Applications, 422:1(2015), 337--351;
  38. Jianping Zhao, Yanren Hou, Lina Song, Dongwei Gui, The stable extrinsic extended finite element method for second order elliptic equation with interfaces, Advances in Difference Equations 2015, 2015:216, DOI 10.1186/s13662-015-0517-4;
  39. Hongbo Wei, Yanren Hou, Lina Song, Adaptive dimension splitting algorithm for three-dimensional elliptic equations, International Journal of Computer Mathematics, 91:12(2014), 2535--2553;
  40. Yunzhang Zhang, Yanren Hou, Jianping Zhao, Error analysis of a fully discrete finite element variational multiscale method for the natural convection problem, Computers and Mathematics with Applications, 68:4(2014), 543--567;
  41. Bo You, Yanren Hou, Fang Li, Jinping Jiang, Pullback attractors for the non-autonomous quasi-linear complex Ginzburg-Landau equation with p-Laplacian, Discrete and Continuous Dynamical Systems - Series B, 19:6(2014), 1801--1814;
  42. Liyun Zuo, Yanren Hou, A decoupling two-grid algorithm for the mixed Stokes-Darcy model with the Beavers-Joseph interface condition, Numerical Methods for Partial Differential Equations, 30:3(2014), 1066--1082;
  43. Lina Song, Yanren Hou, Zhiqiang Cai, Recovery-based error estimator for stabilized finite element methods for the Stokes equation, Computer Methods in Applied Mechanics and Engineering, 272(2014), 1--16;
  44. Qingfang Liu, Yanren Hou, Lei Ding, Qingchang, Liu, A stabilized Galerkin scheme for the convection-diffusion-reaction equations, Acta Applicandae Mathematicae, 130:1(2014), 115-134;
  45. Yunzhang Zhang, Yanren Hou, Haibiao Zheng, A finite element variational multiscale method for steady-state natural convection problem based on two local Gauss integrations, Numerical Methods for Partial Differential Equations, 30:2(2014), 361--375;
  46. Yunzhang, Zhang, Yanren Hou, Hongen Jia, Subgrid stabilized defect-correction method for a steady-state natural convection problem, Computers and Mathematics with Applications, 67:3(2014), 497--514;
  47. Yunzhang Zhang, Yanren Hou, The Crank-Nicolson extrapolation stabilized finite element method for natural convection problem, Mathematical Problems in Engineering, Volume 2014, Article ID 393494, 22 pages, http://dx.doi.org/10.1155/2014/393494;
  48. Jianping Zhao, Yanren Hou, Haibiao Zheng, Bo Tang, A new iterative method for linear systems from XFEM, Mathematical Problems in Engineering, Volume 2014, Article ID 367802, 8 pages, http://dx.doi.org/10.1155/2014/367802;
  49. Qingfang Liu, Yanren Hou, Qingchang Liu, A two-level method in space and time for the Navier-Stokes equations, Numerical Methods for Partial Differential Equations, 29:5(2013), 1504--1521;
  50. Lina Song, Yanren Hou, Haibiao Zheng, Adaptive local postprocessing finite element method for the Navier-Stokes equations, Journal of Scientific Computing, 55:2(2013), 255--267;
  51. Lina Song, Yanren Hou, Haibiao Zheng, Adaptive variational multiscale method for the Stokes equations, International Journal for Numerical Methods in Fluids, 71:11(2013), 1369--1381;
  52. Yunzhang Zhang, Yanren Hou, Conghui Du, A posteriori error estimation for a defect correction method applied to conduction convection problems, Numerical Methods for Partial Differential Equations, 29:2(2013), 496--509;
  53. Yanren Hou, Buyang Li, Weiwei Sun, Error estimates of splitting Galerkin methods for heat and sweat transport in textile materials, SIAM Journal on Numerical Analysis, 51:1(2013), 88--111;
  54. Qingfang Liu, Yanren Hou, Qingchang Liu, A two-level method in time and space for solving the Navier–Stokes equations based on Newton iteration, Computers and Mathematics with Applications, 64:11(2012), 3569--3579;
  55. Li Shan, Yanren Hou, Haibiao Zheng, Variational multiscale method based on the Crank–Nicolson extrapolation scheme for the non-stationary Navier–Stokes equations, International Journal of Computer Mathematics, 89:16(2012), 2198--2223;
  56. Jinping Jiang, Yanren Hou, Xiaoxia Wang, The pullback asymptotic behavior of the solutions for 2D nonautonomous g-Navier-Stokes equations, Advances in Applied Mathematics and Mechanics, 4:2(2012), 223--237;
  57. Xueli Song, Yanren Hou, Pullback D-attractors for the non-autonomous Newton-Boussinesq equation in two-dimensional bounded domain, Discrete and Continuous Dynamical Systems, 32:3(2012), 991--1009;
  58. Jianping Zhao, Yanren Hou, Yongfei Li, Immersed interface method for elliptic equations based on a piecewise second order polynomial, Computers and Mathematics with Applications, 63:5(2012), 957--965;
  59. Yanren Hou, Hongbo Wei, Dimension splitting algorithm for a three-dimensional elliptic equation, International Journal of Computer Mathematics, 89:1(2012), 112--127;
  60. Xueli Song, Yanren Hou, Uniform attractors for a non-autonomous Brinkman-Forchheimer equation, Journal of Mathematical Research with Applications, 32:1(2012), 63--75
  61. Jianping Zhao, Bo Tang, Sunil Kumar, Yanren Hou, The extended fractional subequation method for nonlinear fractional differential equations, Mathematical Problems in Engineering, Volume 2012, Article ID 924956, 11 pages, doi:10.1155/2012/924956;
  62. Yunzhang Zhang, Yanren Hou, Baoying Mu, A two-grid method based on Newton iteration for viscoelastic fluid flow, Chinese Journal of Engineering Mathematics, 29:1(2012), 117--130
  63. Lina Song, Yanren Hou, Haibiao Zheng, The two-grid stabilization of equal-order finite elements for the Stokes equations, International Journal for Numerical Methods in Fluids, 67:12(2011), 2054--2061;
  64. Yunzhang Zhang, Yanren Hou, Hongbo Wei, Adaptive mixed least squares Galerkin/Petrov finite element method for stationary conduction convection problems, Applied Mathematics and Mechanics (English Edition), 32:10(2011), 1269--1286;
  65. Xueli Song, Yanren Hou, Attractors for the three-dimensional incompressible Navier-Stokes equations with damping, Discrete and Continuous Dynamical Systems, 31:1(2011), 239--252;
  66. Yinnian He, Yanren Hou, Galerkin and subspace decomposition methods in space and time for the Navier–Stokes equations, Nonlinear Analysis - TMA, 74:10(2011), 3218--3231;
  67. Yunzhang Zhang, Yanren Hou, Baoying Mu, Defect correction method for time-dependent viscoelastic fluid flow, International Journal of Computer Mathematics, 88:7(2011), 1546--1563;
  68. Yunzhang Zhang, Yanren Hou, Hongliang Zuo, A posteriori error estimation and adaptive computation of conduction convection problems, Applied Mathematical Modelling, 35:5(2011), 2336--2347;
  69. Jinping Jiang, Yanren Hou, Xiaoxia Wang, Pullback attractor of 2D nonautonomous g-Navier-Stokes equations with linear dampness, Applied Mathematics and Mechanics (English Edition), 32:2(2011), 151--166;
  70. Yunzhang Zhang, Yanren Hou, Gangshan Yang, A defect-correction method for time-dependent viscoelastic fluid flow based on SUPG formulation, Discrete Dynamics in Nature and Society, Volume 2011, Article ID 689804, 25 pages, doi:10.1155/2011/689804;
  71. Yunzhang Zhang, Yanren Hou, Posteriori analysis of unsteady Navier-Stokes equations with the Coriolis force, Dynamics of Continuous, Discrete and Impulsive Systems - Series B, 18:2(2011), 229--244
  72. Lina Song, Yanren Hou, Haibiao Zheng, A variational multiscale method based on bubble functions for convection-dominated convection–diffusion equation, Applied Mathematics and Computation, 217:5(2010), 2226--2237;
  73. Haibiao Zheng, Yanren Hou, Feng Shi, Adaptive variational multiscale methods for incompressible flow based on two local Gauss integrations, Journal of Computational Physics, 229:19(2010), 7030--7041;
  74. Haibiao Zheng, Li Shan, Yanren Hou, A quadratic equal-order stabilized method for Stokes problem based on two local Gauss integrations, Numerical Methods for Partial Differential Equations, 26:5(2010), 1180--1190;
  75. Qingfang Liu, Yanren Hou, A two-level correction method in space and time based on Crank-Nicolson scheme for Navier-Stokes equation, International Journal of Computer Mathematics, 87:11(2010), 2520--2532;
  76. Jinping Jiang, Yanren Hou, Pullback attractor of 2D non-autonomous g-Navier-Stokes equations on some bounded domain, Applied Mathematics and Mechanics (English Edition), 31:6(2010), 697--708;
  77. Qingfang Liu, Yanren Hou, A two-level defect-correction method for Navier-Stokes equations, Bulletin of the Australian Mathematical Society, 81:3(2010), 442--454;
  78. Haibiao Zheng, Yanren Hou, Feng Shi, A posteriori error estimates of stabilization of low-order mixed finite elements for incompressible flow, SIAM Journal on Scientific Computing, 32:3(2010), 1346--1360;
  79. Qingfang Liu, Yanren Hou, A two-level finite element method for the Navier–Stokes equations based on a new projection, Applied Mathematical Modelling, 34:2(2011), 383--399;
  80. 穆宝英, 侯延仁, 张运章, 求解非定常Navier-Stokes方程的自适应变分多尺度方法, 工程数学学报, 27:2(2010), 258--270
  81. Jinping Jiang, Yanren Hou, The global attractor of g-Navier–Stokes equations with linear dampness on R^2, Applied Mathematics and Computation, 215:3(2009), 1068--1076;
  82. Yanren Hou, Qingfang Liu, A stabilized semi-implicit Galerkin scheme for NavierStokes equations, Journal of Computational and Applied Mathematics, 231:2(2009), 552--560;
  83. Li Shan, Yanren Hou, A fully discrete stabilized finite element method for the time-dependent Navier–Stokes equations, Applied Mathematics and Computation, 215:1(2009), 85--99;
  84. Haibiao Zheng, Yanren Hou, Feng Shi, Lina Song, A finite element variational multiscale method for incompressible flows based on two local gauss integrations, Journal of Computational Physics, 228:16(2009), 5961--5977;
  85. Qingfang Liu, Yanren Hou, A postprocessing mixed finite element method for the Navier–Stokes equations, International Journal of Computational Fluid Dynamics, 23:6(2009), 461--475;
  86. Qingfang Liu, Yanren Hou, Local and parallel finite element algorithms for time-dependent convection-diffusion equations, Applied Mathematics and Mechanics (English Edition), 30:6(2009), 787--794;
  87. Yanren Hou, Kaitai Li, Postprocessing Fourier Galerkin method for the Navier-Stokes equations, SIAM Journal on Numerical Analysis, 47:3(2009), 1909--1922;
  88. 宋雪丽, 侯延仁, 多值半流理论及其在三维Navier-Stokes方程中的应用, 纯粹数学与应用数学, 25:4(2009), 737--742
  89. Yanren Hou, Liquan Mei, Full discrete two-level correction scheme for Navier-Stokes equations, Journal of Computational Mathematics, 26:2(2008), 209--226;
  90. Yanren Hou, Kaitai Li, Tangent space correction method for the Galerkin approximation based on two-grid finite element, Applied Mathematics and Computation, 175:1(2006), 413--429;
  91. Yanren Hou, Kaitai Li, The uniform attractor for the 2D non-autonomous Navier–Stokes flow in some unbounded domain, Nonlinear Analysis - TMA, 58:5-6(2004), 609--630;
  92. Yanren Hou, R.M.M. Mattheij, Inertial Algorithms for the stationary Navier-Stokes equations, Acta Mathematica Scientia, 23:2(2003), 219--238;
  93. Yanren Hou, Kaitai Li, IMD based nonlinear Galerkin method, Applied Mathematics and Mechanics (English Edition), 24:3(2003), 326--337;
  94.  侯延仁, 李开泰, 耗散型发展方程的一步Newton法, 计算数学, 25:3(2003), 355--366
  95. Yanren Hou, Kaitai Li, A small eddy correction method for nonlinear dissipative evolutionary equations, SIAM Journal on Numerical Analysis, 41:3(2003), 1101--1130;
  96. Yinnian He, Yanren Hou, Liquan Mei, Global finite element nonlinear Galerkin method for the penalized Navier-Stokes equations, Journal of Computational Mathematics, 19:6(2001), 607--616;
  97. Kaitai Li, Yanren Hou, An AIM and one-step Newton method for the Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, 190:46-47(2001), 6141--6155;
  98. Yinnian He, Yanren Hou, Kaitai Li, Stability and convergence of optimum spectral non-linear Galerkin methods, Mathematical Methods in the Applied Sciences, 24:5(2001), 289--317;
  99. Yanren Hou, Kaitai Li, A simple postprocess procedure for Galerkin method, Applied Mathematics and Mechanics (English Edition), 21:1(2000), 79--86;
  100. 李开泰, 侯延仁, 时滞惯性流形及近似时滞惯性流形族, 数学学报, 43:3(2000), 435--444
  101. 何银年, 侯延仁, 两类变时间步长的非线性Galerkin算法的稳定性, 计算数学, 21:2(1999), 139--156
  102. 李开泰, 侯延仁, N-S方程一般近似惯性流形构造和逼近, 计算数学, 21:3(1999), 269--282
  103. 侯延仁, 全离散Fourier非线性Galerkin算法稳定性, 西安交通大学学报(自然科学版), 33:4(1999), 94--101
  104. 侯延仁, 李开泰, 一种有效的非线性Galerkin算法, 西安交通大学学报(自然科学版), 32:2(1998), 81--85
  105. Kaitai Li, Yanren Hou, Fourier nonlinear Galerkin method for Navier-Stokes equations, Discrete and Continuous Dynamical Systems, 2:4(1996), 497--524
  106. 侯延仁, 二维N-S方程的Fourier非线性Galerkin方法 -- 全离散情形, 数值计算与计算机应用, 第4期(1996), 263--270
  107. Yanren Hou, Fourier nonlinear Galerkin approximation for the two dimensional Navier-Stokes equations, Applied Mathematics and Mechanics (English Edition), 17:9(1996), 879--887;

 

Papers on Conference Proceedings/会议论文

  1. Wu Zhang, Yanren Hou, Numerical investigation of farfield conditions for boundary layer flow, Proceedings of the 7th International Conference on Boundary and Interior Layers Computational and Asymptotic Methods, International Academic Publishers, 1995, 312--313
  2. Yanren Hou, Kaitai Li, One step Newton method for the unsteady NSE, Proceedings of 5th China-Japan Seminar on Numerical Mathematics, Science Press, Beijing/New York, 2002, 134--140
  3. Yanren Hou, Kaitai Li, Error estimate for a two-level scheme of Newton type for the Navier-Stokes equations, Contemporary Mathematics, 329(2003), 183--190; 
  4. Yanren Hou, Error analysis of a full discrete postprocessing procedure to the Galerkin approximation for Navier-Stokes equations, Advances in Scientific Computing and Applications, Science Press, Beijing/New York, 2004, 189--199
  5. Liyun Zuo, Yanren Hou, A modified two-grid method for the coupled fluid flow with porous media flow, Data-Intensive Scientific Discovery and Applications, Shanghai University Press, 2013, 31--39