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Dr. Yanren Hou

Professor of Mathematics, Department of Scientific Computing, School of Sciences, Xi’an Jiaotong University, Xi’an, 710049, China

Tel & Fax:  +86 29 82663565
Email:        yrhou@xjtu.edu.cn
Address:   Room 317, Science Building, Xi’an Jiaotong University

 

Research Interests: Numerical Analysis
Education

  • 1994.9 ---- 1997.7   Ph. D  Xi’an Jiaotong University

  • 1991.9 ---- 1994.7   Master Degree, Xi’an Jiaotong University

  • 1987.9 ---- 1991.7   Bachelor Degree, Xi’an Jiaotong University
Working Experience  

  • 2004.6 ---- Present   Professor, Department of Scientific Computing, School of Science, Xi’an Jiaotong University

  • 2004.8 ---- 2004.11   Visiting scholar, ICTP, Italy

  • 2003.6 ---- 2003.9     Visiting senior research associate, Department of Mathematics, City University of Hong Kong

  • 2001.6 ---- 2004.5     Associate professor, Department of Scientific Computing, School of Science, Xi’an Jiaotong University

  • 1999.3 ---- 2000.2     Post-Doc, Department of Mathematics, Eindhoven University of Technology, the Netherlands

  • 1997.8 ---- 2001.5     Lecturer, Department of Scientific Computing, School of Science, Xi’an Jiaotong University
Funds

  1. Weakly Coupled Two-Level Algorithms for the Navier-Stokes Equations, NSFC 10871156, 2009.1 --- 2011.12

  2. New Century Excellent Talents Project, State Education Department, 2006.1 --- 2008.12

  3. High Performance Algorithms for the Navier-Stokes Equations based on Inertial Manifolds with Delay, NSFC 10471110, 2005.1 --- 2007.12

  4. Construction of New Approximate Inertial Manifolds for the Navier-Stokes Equations and Investigation of  the Associated Effective and Parallel Numerical Schemes, NSFC 10101020, 2002.1 --- 2004.12

  5. Investigation of Large Scale Scientific and Engineering Computation, State Basic Research Projects, G1999032801-01-5

  6. Inertial Algorithms for Navier-Stokes Equations Based on Newton Method, Tian Yuan Mathematical Funds, TY10126004, 2001.1 --- 2003.12
Publications

  1. H. Zheng, Y. Hou and F. Shi, A posteriori error estimates of stabilization of low-order mixed finite elements for incompressible flow, SIAM J. Sci. Comp., to appear 

  2. Q. Liu and Y. Hou, A two-level defect-correction method for Navier-Stokes equations, Bulletin of the Australian Mathematical Society, to appear 

  3. Q. Liu and Y. Hou, A two-level correction method in space and time based on Crank-Nicolson scheme for Navier-Stokes equations, International Journal of Computer Mathematics, to appear

  4. H. Zheng, L. Shan and Y. Hou,A quadratic equal-order stabilized method for Stokes problem based on two local Gauss integrations, Numerical Methods for Partial Differential Equations, DOI 10.1002/num.20486 

  5. Q. Liu and Y. Hou, A two-level finite element method for the Navier-Stokes equations based on a new projection, Applied Mathematical Modelling, 34:2(2010), 383--399;  

  6. X. Song and Y. Hou, The Theory of Multi-Valued Semiflow and Its Application to Three-Dimensional Navier-Stokes Equations(in Chinese), Pure and Applied Mathematics, 25:4(2009), 737--742;  

  7. J. Jiang and Y. Hou,The Global Attractor of g-Navier-Stokes Equations with linear Dampness on R^2, Applied Mathematics and Computation, 215:3(2009), 1068--1076;

  8. L. Shan and Y. Hou, A fully discrete stabilized finite element method for the time-dependent Navier-Stokes equations, Applied Mathematics and Computation, 215:1(2009), 85--99;

  9. Y. Hou and Q. Liu, A Stabilized Semi-implicit Galerkin Scheme for Navier-Stokes Equations, Journal of Computational and Applied Mathematics, 231:2(2009), 552--560;

  10. H. Zheng, Y. Hou, F. Shi and L. Song, A finite element variational multiscale method for incompressible flows based on two local Gauss integrations, Journal of Computational Physics, 228:16(2009), 5961--5971;

  11. Q. Liu and Y. Hou, A postprocessing mixed finite element method for Navier-Stokes equations, International Journal of Computational Fluid Dynamics, 23:6(2009), 461--475; 

  12. Y. Hou and K. Li, Postprocessing Fourier Galerkin Method for the Navier-Stokes Equations, SIAM J. Numer. Anal., 47:3(2009), 1909--1922;

  13. Q. Liu and Y. Hou, Local and parallel finite element algorithms for the time-dependent convection-diffusion equations, Applied Mathematics and Mechanics, 30:6(2009), 787--794;

  14. Y. Hou and L. Mei, Full discrete two-level correction scheme for Navier-Stokes equations, Journal of Computational Mathematics, 26:2(2008), 209--226

  15. Y. Hou and K. Li, Tangent Space Correction Method for the Galerkin Approximation Based on Two-grid Finite Element,  Applied Mathematics and Computation, 175:1(2006), 413--429

  16. Y. Hou and K. Li,  The Uniform Attractor for the 2D Non-Autonomous Navier-Stokes Flow in Some Unbounded Domain, Nonlinear Analysis: Theory, Methods & Applications, 58:5-6(2004), 609--630

  17. Y. Hou, Error Analysis of a Full Discrete Postprocessing Procedure to the Galerkin Approximation for N-S Equations, Advances in Scientific Computing and Applications, Science Press Beijing/New York, 2004, 189--199

  18. Y. Hou and R.M.M. Mattheij, Inertial Algorithms for the Stationary Navier-Stokes Equations, Acta Mathematica Scientia, 23:2(2003), 219--238

  19. Y. Hou and K. Li, A Small Eddy Correction Method for Nonlinear Dissipative Evolutionary Equations, SIAM J. Numer. Anal., 41:3(2003), 1101--1130

  20. Y. Hou and K. Li, Error Estimate for a Two-Level Scheme of Newton Type for the N-S Equations, Contemporary Mathematics Series: Current Trends in Scientific Computing, 329(2003), 183-190

  21. Y. Hou and K. Li, IMD Based Nonlinear Galerkin Method, Applied Mathematics and Mechanics, 24:3(2003), 326--337

  22. Y. Hou and K. Li, One-Step Newton Method for Dissipative Evolutionary Equations, Chinese Journal of Numerical Mathematics and Applications, 25:4(2003), 14--28

  23. Y. Hou and K. Li, One Step Newton Method for the Unsteady NSE, Proceedings of Fifth China-Japan Seminar on Numerical Mathematics, Scientific Press Beijing/New York, 2003, 134--140

  24. K. Li and Y. Hou, An AIM and One-step Newton Method for the Navier-Stokes Equations, Computer Methods in Applied Mechanics & Engineering, 190(2001), 6141--6155

  25. Y. He, Y. Hou and L. Mei, Global Finite Element Nonlinear Galerkin Method for the Penalized Navier-Stokes Equations, Journal of Computational Mathematics, 19:6(2001), 607--616

  26. Y. He, Y. Hou and K. Li, Stability and convergence of optimum spectral non-linear Galerkin methods, Mathematical Methods in the Applied Sciences, 24:5(2001), 289--317

  27. K. Li and Y. Hou, 时滞惯性流形及近似时滞惯性流形族, 数学学报, 43(2000), 435--444

  28. Y. Hou and K. Li, A Simple Postprocess Procedure for Galerkin Method, Applied Mathematics and Mechanics, 21:1(2000), 79--86

  29. K. Li and Y. Hou, 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

  30. Y. He and Y. Hou, 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  

  31. Y. Hou, 全离散Fourier非线性Galerkin算法稳定性, 西安交通大学学报, 33:4(1999), 94--97

  32. Y. Hou, 一种有效的非线性Galerkin算法, 西安交通大学学报, 32:2(1998), 81--85

  33. Y. Hou, Fourier Nonlinear Galerkin Approximation for the Two-Dimensional Navier-Stokes Equations, Applied Mathematics and Mechanics, 17(1996), 879--887

  34. K. Li and Y. Hou, Fourier Nonlinear Galerkin Method for Navier-Stokes Equations, Discrete and Continuous Dynamical Systems, 2(1996), 497--524

  35. Y. Hou, 二维N-S方程的Fourier非线性Galerkin算法: 全离散情形, 数值计算与计算机应用, 17:4(1996), 263--270

  36. W. Zhang and Y. Hou, Numerical Investigation of Far Feild Conditions for Boundary Layer Flow, Proceedings of the 7th International Conference on Boundary and Interior Layers Computational and Asymptotic Methods,International Academic Publishers, Beijing, 1994, 312–313

 
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