芮洪兴

  • 芮洪兴

理学博士,教授,博士生导师,数学学院副院长。

  • 学术经历

  • 2000—,山东大学数学学院,教授
  • 1994—1999,山东大学数学学院,副教授
  • 1998.10—2000.09,日本 Kyushu University,博士后
  • 访问经历

  • 2014.02—2014.03,加拿大,York University,访问教授
  • 2013.05—2013.06,City University of Hong Kong,访问教授
  • 2012.08—2012.08,韩国, Korea Advanced Institute of Science and Technology,访问教授
  • 2009.06—2009.06,Hong Kong University,访问教授
  • 2007.06—2007.06,日本,Kyushu University,访问教授
  • 2001.07—2001.09,中科院计算数学所访问研究
  • 行政职务及学术兼职

  • 2012—,山东大学数学学院,副院长
  • 2008—2012,宁夏大学数学计算机学院,院长(挂职)
  • 2000—2012,山东大学数学学院科学计算与软件研究所,所长
  • 2012—,中国工业与应用数学学会,常务理事
  • 2010—2014,中国计算数学学会,常务理事
  • 2008—,中国计算物理学会常务理事
  • 学习经历

  • 1994.07,山东大学,博士学位
  • 1987.07,山东大学,硕士学位
  • 1984.07,山东大学,学士学位
  • 承担及完成项目情况

  • 2017.01-2020.12,国家自然科学基金面上项目:Stokes和Navier-Stokes方程及相关流动问题的交错网格MAC方法研究,项目负责人
  • 2014.09-2016.12,国家科技重大专项专题:复杂介质油藏数值模拟计算精度与速度测试优化实验,项目负责人
  • 2014.11-2014.12,中石化胜利油田地质科学研究院:稠油热采数值模拟并行算法实现,项目负责人
  • 2014.01-2016.12,国家自然科学基金委重大研究计划“高性能科学计算与可计算建模”培育项目:非达西渗流实用高效数值方法及致密气藏数值模拟,项目负责人
  • 2013.01-2015.12,教育部博士点基金:对流占优问题的高精度特征线算法及应用研究,项目负责人
  • 2012.11-2013.03,国家科技重大专项专题:等效多重介质油藏数值模拟技术-复杂介质表征单元体试验,项目负责人
  • 2012.01-2015.12,国家自然科学基金项目:油藏多孔介质渗流与Stokes流耦合问题数值方法,项目负责人
  • 2009.11-2011.04,中石化有限公司勘探开发研究院:耦合型油藏数值模型深化研究,项目负责人
  • 2008.07-2009.12,中石化胜利油田地质科学研究院:基于黑油模型的高温高盐油藏化学驱数值模拟软件的改进,项目负责人
  • 2008.01-2010.12,国家自然科学基金项目:油水资源数值方法的理论和应用,项目负责人
  • 2007.07-2011.12,国家973项目:金融风险控制中的定量分析与计算,第六课题,成员。
  • 2007.01-2009.12,教育部博士点基金:多孔介质渗流问题的分裂型最小二乘混合元法,项目负责人
  • 2005.01-2007.12,国家自然科学基金项目:多孔介质中若干复杂流动问题的数值模拟方法及理论,项目负责人
  • 2003.01-2005.12,教育部博士点基金:多孔介质多相流数值模拟研究,项目负责人
  • 2001.01-2003.12,国家自然科学基金项目:环境污染问题数值模拟方法研究,项目负责人
  • 1997.01-1999.12,国家自然科学青年基金项目:环境污染数值模拟的区域分裂与算子分裂算法,项目负责人
  • 1996.01-1998.12,山东省自然科学青年基金项目:区域分解和并行算法及海水入侵的数值方法研究,项目负责人
  • 1995.01-1997.12,国家自然科学基金项目:海水入侵及防治工程数值模拟研究,参加排第二
  • 获奖

  • 2015,山东省自然科学二等奖:对流扩散方程和Stokes-Darcy耦合方程的数值方法,第一完成人
  • 2003,山东省高校自然科学一等奖:多孔介质渗流问题中基本方程的数值方法研究,独立
  • 2003,教育部自然科学一等奖:能源数值模拟的理论和应用,第三完成人
  • 1998,水利部科技进步三等奖:综合防治咸海水入侵研究,第三完成人
  • 1997,国家教委科技进步二等奖:油水资源数值模拟方法的理论和应用,第五完成人
  • 主要论文目录

  1. H. Rui, Xiaoli Li, Stability and Superconvergence of MAC Scheme for Stokes Equations on non-uniform grids, SIAM J. Numer. Anal., Accepted. (SCI)
  2. Xiaoli Li, H. Rui*, Characteristic block-centered finite difference method for simulating incompressible wormhole propagation, Computers and Mathematics with Applications, http://dx.doi.org/10.1016/j.camwa.2017.03.002. (SCI)
  3. H. Rui, H. Pan, A Block-centered Finite Difference Method for Slightly Compressible Darcy-Forchheimer Flow in Porous Media, J. Sci. Computing, DOI: 10.1007/s10915-017-0406-y. (SCI)
  4. Xiaoli Li, Hongxing Rui*, A Two-Grid Block-Centered Finite Difference Method for the Nonlinear Time-Fractional Parabolic Equation, J. Sci. Computing, DOI: 10.1007/s10915-017-0380-4. (SCI)
  5. Ming Sun, Hongxing Rui*, A Coupling of Weak Galerkin and Mixed Finite Element Methods for Poroelasticity, Computers and Mathematics with Applications, 10.1016/j.camwa.2017.01.007.(SCI)
  6. Jingyuan Zhang, H. Rui*, A stabilized Crouzeix-Raviart element method for coupling Stokes and Darcy-Forchheimer flows, Numer. Methods Part. Differ. Eqns. 2016, DOI 10.1002/num.22129. (SCI)
  7. S. Chen, H. Rui*, A mortar finite volume method for a fractured model in porous media, J. Math. Anal. Appl. DOI:10.1016/j.jmaa.2016.11.019. (SCI)
  8. Z. Kang, D. Zhao, H. Rui*, Block-Centered Finite Difference Methods for General Darcy-Forchheimer Problems, Appl. Math. Comput. 307, (2017, Aug), 124-140, DOI: 10.1016/ j.amc.2017.02.036. (SCI)
  9. 芮洪兴,赵丹汇,多孔介质一般非达西流问题的块中心有限差分算法,中国科学数学,(2017,April),47卷4期, 515-532, doi: 10.1360/012016-8. (Rui H X, Zhao D H. A block-centered finite difference method for general non-Darcy flow in porous media(in Chinese). Sci Sin Math, 2017, 47: 515–532, doi: 10.1360/012016-8)(SCI)
  10. Xiaoli Li, H. Rui*, Characteristic block-centred finite differencemethods for nonlinear convection-dominated diffusion equation, Inter. J. Computer Math. 94 (2017, April 15), No. 2, 386-404. doi:10.1080/00207160.2015.1109641. (SCI)
  11. H. Rui, J. Zhang, A stabilized mixed finite element method for coupled Stokes and Darcy flows with transport, Computer Methods in Applied Mechanics and Engineering 315( 2017, Mar), 169–189. (SCI)
  12. Lei YANG, Hong-xing RUI*, Qing-li ZHAO, Investigation of Barree-Conway non-Darcy flow effects on coalbed methane production J. Cent. South Univ. (2016, Dec) 23: 3322−3331.
  13. Xindong Li, H. Rui, W. Xu, A new MCC-MFE method for compressible miscible displacement in porous media, J. Comp. Appl. Math., 32(2016,Aug), 139-156. DOI: 10.1016/j.cam.2016.01.052. (SCI)
  14. H. Fu, H. Rui*, H. Guo, J. Zhang and J. Hou, A split least-squares mixed finite element method for elliptic optimal control problem, Int. J. Numer. Anal. Modelling Vol. 13(2016, Aug), No. 4, 610-626. (SCI)
  15. H. Fu, H. Rui, J. Zhang and H. Guo, A priori error estimate of splitting positive definite mixed finite element method for parabolic optimal control problems, Numer. Math. Theor. Meth. Appl. Vol. 9, No.2 (2016, May),1-24. (SCI)
  16. Xiaoli Li, H. Rui*, A two-grid block-centered finite difference method for nonlinear non-Fickian flow model,Appl. Math. Comp. 281(2016, April) 300-313. (SCI)
  17. H. Fu, H. Rui*,J. Hou, H. Li, A stabilized mixed element method for elliptic optimal control problem, J. Sci. Comput., 66(March,2016),968-986. (SCI)
  18. J. Li, H. Rui, D. Yu, Trapezoidal rule for computing supersingular integral on a circle, J. Sci. Comput., 66(2016,Feb), No. 2, 740-760. (SCI)
  19. Hongfei FU, Hongxing RUI, Zhaojie ZHOU, A posteriori error estimates for optimal control problems constrained by convection-diffusion equations, Front. Math. China (2016,Jan), 11(1): 55-75.(SCI)
  20. Xindong Li, H. Rui*, A MCC finite element approximation of incompressible miscible displacement in porous media, Computers and Mathematics with Applications, 70(2015, Sep), 750-764. (SCI)
  21. H. Rui, W. Liu, A two-grid block-centered finite difference method for Darcy- Forchheimer flow in porous media, SIAM J Numer Anal 53(2015,Aug),No.4,1941-1962. (SCI)
  22. H. Rui, D. Zhao, H. Pan,Block-Centered Finite Difference Methods for Darcy-Forchheimer Model with Variable Forchheimer Number, Numerical Methods for Partial Differential Equations (2015, Sep) , 31,1603-1622. (SCI) DOI: 10.1012/num.21963.
  23. Y. Wang, H. Rui*, Stabilized Crouzeix-Raviart Element for Darcy-Forchheimer Model, Numerical Methods for Partial Differential Equations, 31 (2015, Sep), 1568-1588. (SCI). DOI: 10.1012/num.21960.
  24. H. Fu, H. Rui*, A priori error estimates for least-squares mixed finite approximation of elliptic optimal control problems, J. Comp. Math. Vol. 33(2015,March), No. 2, 113-127.(SCI)
  25. H. Rui, J. Huang, Uniformly Stable Explicitly Solvable Finite Difference Method for Fractional Diffusion Equations, East Asia J. Appl. Math., Vol.5(2015, Feb), No. 1, 29-47. (SCI)
  26. B. Gong, H. Rui, One order numerical scheme for forward–backward stochastic differential equations, Applied Mathematics and Computation, 271(2015),220-231. (SCI)
  27. F. Gao, F. Qiao, H. Rui, Numerical simulation of the modified regularized long wave equation by split least-squares mixed finite element method, Mathematics and Computers in Simulation, 109(2015),64-73. (SCI)
  28. Jin Li, Hongxing Rui, Dehao Yu, Composite Simpson's rule for computing supersingular integular on circle, CMES, vol.97, no.6, pp.463-481, (2014,December). (SCI)
  29. Caiqing Song,Hongxing Rui*, Xiaodong Wang, Jianli Zhao, Closed-form solutions to the nonhomogeneous Yabubovich-transpose matrix equation, J Comp Appl Math 267(2014, Sep) 72-81. (SCI)
  30. X. Li, H. Rui*, A rectangular mixed element method with continuous flux approximation for coupling Stokes and Darcy flows, Applied Mathematics and Computation, 246(2014, Sep), 29-53. (SCI)
  31. W Liu, Z Kang H Rui*, Finite volume element approximation of the coupled continuum pipe-flow/Darcy model for flow in Karst aquifers, Numer Method Partial Differ Eqns 30(2014, March), 376-392. DOI: 10.1002/num.21813. (SCI:000331171400002)
  32. H. Rui, H. Pan, Block-centered Finite Difference Methods for Parabolic Equation with Time-dependent Coefficient, Japan J Industrial and Applied mathematics, 30(2013,Sep), No. 3, 681-699. DOI:10.1007/s13160-013-0114-4. (SCI)
  33. H. Pan, H. Rui*, Mixed Element Method for Darcy-Forchheimer Incompressible Miscible Displacement Problem, Computer methods in Applied Mech and Engrg 264(2013, Sep), 1-11, 10.1016/j.cma.2013.05.011. (SCI)
  34. W. Liu, H Rui*, F Hu, A two-grid algorithm for expanded mixed finite element approximations of semi-linear elliptic equations, Computers and Mathematics with Applications, 66(2013, Sep) 392-402. (SCI)
  35. Q. Zhao, H. Rui*, J. Li, Superconvergence of Hermite rule for hypersingular integrals on interval, Inter. J. Comput. Math.,90(2013, July), No. 7, 1448-1458, DOI: 10.1080/00207160.2012.752076. (SCI)
  36. H. Notsu; Hongxing Rui; M. Tabata*, Development and L2-analysis of a single-step characteristic finite difference scheme of second order in time for convection-diffusion problems,J. Algorithms & Computational Technology, Vol 7(2013), No. 3,343-380. (SCI)
  37. F. Fu, H. Rui, Adaptive characteristic finite element approximation of convection-diffusion optimal control problems, Numer Method PDEs 29 (2013, May), No. 3, 979-998. DOI:10.1002/num.21741. (SCI)
  38. H. Rui, H. Guo, Split Least-squares Galerkin Procedures for Non-Fickian Flow in Porous Media, Numer Method PDEs 29 (2013, May), No. 3, 916-934. DOI:10.1002/num.21738. (SCI)
  39. Z. Yin, H. Rui, Q. Xu, An approximation of icompressible displacement in porous mediaby mixed finite elements and symmetric finite volume element method of characteristic, Numer Method PDEs, 29 (2013, May), No. 3, 897-915. DOI:10.1002/num.21737. (SCI)
  40. H. Fu, H Rui*, H Guo, A characteristic finite element method for constrained convection-diffusion-reaction optimal control problems, J. Comp. Math., Vol. 31, No. 1, (2013, Jan), 88-106. doi:10.4208/jcm.1210-m3966. (SCI)
  41. X. Li, H. Rui*, A rectangular mixed finite element method with a Continuous Flux for an elliptic equation modelling Darcy flow, ABSTRACT AND APPLIED ANALYSIS, 580461 DOI: 10.1155/2013/580461, 2013, June. (SCI)
  42. Y. Yuan, H. Rui, D. Liang, C. Li, The theory and application of upwind finite difference fractional steps procedure for seawater intrusion, Inter J of Geosciences, (2012,Sep), 3, 972-991. (SCI)
  43. Y. Yuan, D. Liang, H. Rui, C. Li, The numerical simulation of seawater intrusion and consequences of protection projects and modular form of project adjustment in porous media, Special Topics & Reviews in Porous Media-An International J, 3(4):371-393(2012,Oct). (SCI)
  44. Wang Hongmei, Rui Hongxing, Zhang Shuai, An optimal-order error estimate for the mass-conservative characteristic finite element scheme, Applied Mathematics and Computation, 218(2012, Aug), 10271-10278. (SCI)
  45. H. Rui, H. Pan, A Block-Centered Finite Difference Method for the Darcy Forchheimer Model, SIAM J Numer Anal, Vol. 50 (2012, Oct), No. 5, 2612-2631. (SCI)
  46. H. Fu, H. Rui*, A mass-conservative characteristic FE scheme for optimal control governed by convection-diffusion equations, Computer Methods in Applied Mechanics and Engineering, 241-244 (2012, Oct), 82-92. http://dx.doi.org/10.1016/j.cma.2012.05.019. (SCI)
  47. 芮洪兴,廉西猛,抛物问题间断Galerkin区域分解方法, 数学物理学报,2012, (Oct), 32A(5), 928-940。
  48. H. Pan, H. Rui*, Mixed Element Method for Two-Dimensiona Darcy-Forchheimer Model, J Sci Computing, (2012, Sep) 52:563-587. 10.1007/s10915-011-9558-3. (SCI)
  49. W. Liu, H. Rui, H. Guo, A two-grid method with expanded mixed element for nonlinear reaction-diffusion equations, Acta Math. Appl. Sin. Engl. Ser. 27 (2011), No.3, 495-502. (SCI)
  50. H. Guo,H. Rui*,Least-squares GALERKIN procedure for second-order hyperbolic equations, J Syst Sci Complex 24 (2011): 381–393. (SCI)
  51. Fu, Rui, A characteristic-mixed finite element method for time-dependent convection–diffusion optimal control problem, Applied Mathematics and Computation 218 (2011) 3430–3440. (SCI).
  52. Fu, Rui, Finite element approximateon of semilinear parabolic optimal control problems, Numerical Mathematics: Theory, Methods and Application (NM-TMA), Vol 4(2011), November, No. 4, 480-504. doi:10.4208/nmtma.2011.m1020. (SCI)
  53. Fu, Rui, A priori and a posterior error estimates for the methods of lumped masses for optimal control problems governed by parabolic equations, International Journal of Computer Mathematics, Vol 88(2011), No 13, 2798-2823. (SCI)
  54. Zhumin Chen, Jun Ma, Chaoran Cui, Hongxing Rui. Web Page Publication Time Detection and its Application for Page Rank. ACM SIGIR'10, Switzerland, 2010. (顶级国际会议 EI: 20103513199637)
  55. 付红斐,芮洪兴,一类非线性抛物最优控制问题的有限元误差估计,数学物理学报,2010年6期,1542-1554。
  56. H Fu, H Rui, Characteristic-mixed methods on dynamics finite element spaces for two-phase miscible flow in porous media. Chinese J Engineering Math, Vol 27(2010),No.2, 369-374.
  57. X Lian, H Rui*, A discontinuous Galerkin method combined with mixed finite element for seawater intrusion problem, J System Sci Complexity, 23(2010), 830-845. (SCI)
  58. H. Rui, M. Tabata, A mass-conservative characteristic finite element scheme for convection-diffusion problems, J. Sci. Comput., (2010)43:416-432. DOI: 10.1007/s10915-009-9283-3.(SCI:000277146200009)
  59. T. Wang, H. Rui*, A finite difference non-matching domain decomposition algorithm for the parabolic equation, Inter J Computer Math, Series B,87(2010 September), No. 11,2480-2492. (SCI)
  60. 刘伟,芮洪兴,鲍永平,求解半线性抛物问题的两种二重网格算法,系统科学与数学,2010(30),No 2,181-190.
  61. Zhumin Chen, Jun Ma, Hongxing Rui, et al. Web Page Publication Date Extraction and Application. Journal of Computational Information Systems, Vol.6, No.1, 2010, 279-285. (EI: 20102713062718)
  62. F. Gao, H. Rui*, A split least-squares characteristic mixed element methods for Sobolev equations with convection term, Mathematics and Computers in Simulation, 80(2009), 341-351. DOI:10.1016/j.matcom.2009.07.003. (SCI)
  63. H. Rui, R. Zhang, A unified stabilized mixed finite element method for coupling Stokes and Darcy flows, Computer Methods in Applied Mechanics and Engineering, 198(2009),2692-2699. DOI: 10.1016/j.cma.2009.03.011. (SCI:000267640500016)
  64. H Guo, H Rui, C Lin, A remark on least-squares Galerkin procedures for pseudohyperbolic equations, J. Comp. Appl. Math., 229(2009), 108-119. http://dx.doi.org/10.1016/j.cam.2008.10.025。(SCI)
  65. H. Fu, H. Rui*, A Priori Error Estimates for Optimal Control Problems Governed by Transient Advection-Diffusion Equations, J. Scientific Computing, Vol. 38(2009), No. 3, 290-315, http://dx.doi.org/10.1007/s10915-008-9224-6. (SCI)
  66. Hongxing Rui, S.D. Kim and S. Kim, Split least-squares finite element methods for linear and nonlinear parabolic problems, J. Comp. Appl. Math., 223(2009), 938-952. http://dx.doi.org/10.1016/j.cam.2008.03.030。(SCI)
  67. K. Wang, H Wang, M Al-Lawatia, H Rui, A Family of Characteristic Discontinuous Galerkin Methodfor Transient Advection-Diffusion Equations and Their Optimal-Order L^2 Error Estimates,Commun. Comput. Physics, Vol. 6 (2009), No.1, 203-230. (SCI)
  68. 袁益让,梁栋,芮洪兴,三维海水入侵及防治工程的渗流力学数值模拟及分析,中国科学(G),2009年39卷2期,222-236。英文版: Yuan Yirang, Liang Dong, Rui Hongxing, The numericall simulation and analysis of three-dimensional seawater intrusion and protection and protection projects in porous media, Science in China(G), Vol 52(2009), No 1, 92-107。(SCI)
  69. H. Rui, C. Bi, Convergence analysis of an upwind finite volume element method with Crouzeix-Raviart element for non-selfadjoint and indefinite problems, Frontier of Mathematics in China, Vol 3(2008), No.4, 563-579. (SCI)
  70. Hongxing Rui, A conservative characteristic finite volume element method for solution of the advection-diffusion equation, Computer Methods in Applied Mechanics and Engineering, 197(2008), 3862-3869. http://dx.doi.org/10.1016/j.cma.2008.03.013. (SCI:000259750600022)
  71. 袁益让,梁栋,芮洪兴,杜宁,王文洽,非线性渗流耦合系统的数值方法及其应用,应用数学与力学,Vol. 29 (2008), 575-588. Numerical method for nonlinear two-phase displacement problem and its application, Appl Math Mechanics, Vol.29 (2008), 639-653. (SCI)
  72. 高夫征,芮洪兴,Sobolev方程的分裂最小二乘有限元法,计算数学,30卷(2008),3期,269-282。
  73. 王婷,芮洪兴,抛物方程的一类区域分解迎风差分算法,工程数学学报,25卷(2008),3期, 559-562。
  74. 刘伟,芮洪兴,求二维椭圆问题混合元解得二重网格法,高等学校计算数学学报,30(2008),June,No 2, 107-116
  75. Hongxing Rui, Convergence of an upwind control-volume mixed finite element Method for convection-diffusion problems, Computing, 2007(81): 297-315. (SCI:000251794300006)
  76. Hui Guo, Hongxing Rui*, Least-squares Galerkin procedures for pseudohyperbolic equations, Applied Mathematics and Computation, 189(2007),425-439.(Corresponding Author) (SCI)
  77. Hongxing Rui, S.C.Kim, S.D.Kim, A remark on least-squares mixed element for reaction-diffusion problems, J. Computational and Applied Mathematics, 202(2007) ,230-236. (SCI:000245147400006)
  78. Chunjia Bi, Hongxing Rui, Uniform convergence of finite volume element method with Crouzeix–Raviart element for non-self-adjoint and indefinite elliptic problems, J. Comp. Appl. Math., 200(2007), 555-565. (SCI)
  79. 刘伟,芮洪兴,龙晓翰,非线性抛物问题的二重网格混合元算法,应用数学学报,Vol. 30 (2007), No. 4, 635-643. A two-grid algorithm for mixed finite element solution of nonlinear parabolic equations, Acta Math Appl Sinica, 30(2007), No. 4, 635-643.
  80. 刘伟,芮洪兴,刘春玲,二维半线性抛物方程的二重网格差分算法,工程数学学报,Vol.24(2007), 885-889。
  81. Yufei Cao, Hongxing Rui, On the Accuracy of the Mortar Finite Volume Element Method with Lagrange Multipliers, Applied Mathematics and Computation, 183(2006), 1386-1398. (SCI)
  82. 郭会, 芮洪兴, Sobolev方程的最小二乘Galerkin有限元法, 应用数学学报,第29卷(2006年)第4期, 609-618。
  83. Guangrui Li, Yanping Lin, Shijie Liu, Hongxing Rui, Xiaozhong Yang, A finite difference non-overlapping non-matching domain decomposition algorithm for heat equation, Dynamics of continuous, discrete and impulsive systems, Application and Algorithms, Vol.13(2006), No.5, 603-618. (SCI)
  84. Hui Guo, Hongxing Rui*, Crank-Nicolson least-squares Galerkin procedures for parabolic integro-differential equations, Applied Mathematics and Computatin, Vol.180 (2006), No.2, 622-634. (SCI)
  85. Hongxing Rui, Multiplicative Schwarz Method with least squares mixed element for elliptic problems, Proceeding of the 7th China-Japan Seminar on Numerical Mathematics, Eds Z.C. Shi, H. Okamoto, Science Press, Beijing, 2006.
  86. Zhe Yin, Hongxing Rui, A Symmetric finite volume element method for Nonlinear parabolic problem,工程数学学报(Gongcheng Shuxue Xuebao), No. 3, Vol. 26(2006), 530-536.
  87. YUAN Yirang, LIANG Dong, Hongxing Rui, The modified method of upwind with finite difference fractional steps procedure for the numerical simulation and analysis of seawater intrusion, Progress in Natural Science, Vol. 16(2006) No. 11(2006),1127-1140. (SCI)
  88. Hongxing Rui, Analysis on a finite volume method for Stokes problems. Acta Math. Appl. Sinica, English Series, Vol. 21, No. 3 (2005), 359-372.
  89. Hongxing Rui, Tongchao Lu, An expanded mixed covolume method for elliptic problems. Numerical Methods for P.D.E., 21:8-23, 2005. (SCI:000225581600002)
  90. Hongxing Rui, A Finite Volume Element Method for Thermal Convection Problems. Acta Mathematica Scientia (Series B), Vol. 24(2004), No. 1, 129-138. (SCI)
  91. Hui Guo, Hongxing Rui*, Least-squares Galerkin Procedures for Parabolic Integro-differential Equations, Appl. Math. Comp., 150(2004), 749-762. (SCI)
  92. Hongxing Rui, Superconvergence on mixed control volume methods for elliptic equations. Computing, Vol. 71,247-263, 2003. (SCI)
  93. Hongxing Rui, Multiplicative Schwarz methods for parabolic problems, Appl. Math. Comp., 136(2003), 593-610. (SCI)
  94. Hongxing Rui, An alternative direction iterative method with second-order upwind scheme for convection-diffusion equations, Inter. J. Computer Math., Vol. 80(2003), 527-533. (SCI)
  95. Hongxing Rui, Tabata Masahisa, A second order characteristic finite element scheme for convection diffusion problems. Numer. Math., 92(2002), 161-177. (SCI)
  96. Hongxing Rui, Symmetric Modified Finite Volume Element Methods for Self-adjoint Elliptic and Parabolic Problems, J. Comp. Appl. Math., 146 (2002), 373-386. (SCI)
  97. Hongxing Rui, Symmetric Mixed Covolume methods for parabolic problems. Numerical Methods for Partial Differential Equations, Vol. 18 (2002), No. 5, 561-583. (SCI)
  98. 芮洪兴, 一类椭圆问题广义差分法L2误差估计, 计算数学, Vol. 24 (2002), No. 3, 335-344.
  99. Hongxing Rui, L2 error estimates of a generalized difference method for elliptic Problems, Chinese J. Numer. Math. Appl., Mathematica Numerical Sinic, Vol. 24(2002), No. 4, 56-67.
  100. Hongxing Rui, Yang Danping, Multiplicative Schwarz algorithm with time stepping along characteristic for convection diffusion equations. J. Comp. Math., No. 5, 2001, 501-510. (SCI)
  101. 袁益让, 梁栋, 芮洪兴, 海水入侵防治工程的后效及预测, Predicting the consequences of seawater intrusion and protection projects. 应用数学与力学(Appl. Math. Mech. PP.1291-1300), 2001, No. 11. (SCI)
  102. 袁益让, 梁栋, 芮洪兴, 海水入侵及防治工程的数值模拟, 计算物理,2001年6期.
  103. Liang Dong, Hongxing Rui, Cheng Aijie, Upwinding splitting scheme for convection diffusion equations, Numer. Math. J. Chinese University, Vol.9 (2000), No.1.
  104. Hongxing Rui, A kind of characteristic splitting method for convection-dominated parabolic equations, Inter J. Computer Math. Vol. 71, 1999. (SCI)
  105. Hongxing Rui, Nonoverlapping domain decompositoion method with mixed element for elliptic problems, J. Comp. Math., 1996, No.4, 291-300. (SCI)
  106. 芮洪兴, 椭园型方程的重叠型区域分裂混合元方法, 系统科学与数学,1998年第2期。
  107. Hongxing Rui, Domain decomposition algorithms for two phase displacement problem in porous media, Acta Mathematica Scientia, 1998, Supplement.
  108. Hongxing Rui, Yan Danping, Schwarz domain decomposition algorithms for parabolic equations and error estimats, Acta Math. Appli. Sinica, Vol. 14(1998), No. 1.
  109. Hongxing Rui, Yang Danping, Schwarz domain decomposition method for convection diffusion equations. 8th International Conference on Domain Decomposition Methods, May, 1995. Published in Domain Decomposition in Science and Engrneering, John Wiley & Sons, Chichester, 1997.
  110. 芮洪兴, 多孔介质中可混溶流动问题的混合元与区域分解特征差分格式, 高等学校计算数学学报, 1997年4期.
  111. Hongxing Rui, Yang Danping, Parallel Schwarz algorithms for parabolic equations and error estimates. Numer. Math. J.Chinese University (English Series.), No.1, 1997.
  112. 芮洪兴, 多孔介质两相驱动问题的特征差分和Schwarz区域分解并行算法, 高校应用数 学学报, 1997年3期.
  113. 芮洪兴, 裂缝孔隙介质中二相驱动问题的征线修正的有限元混合元格式及其理论分析, 高等学校计算数 学学报, 1995年3期.
  114. Hongxing Rui, Characteristic difference methods for two phase displacement in naturally fractured reservoirs, Numer. Math. J. Chinese University, 1995, No.2.
  115. Rui Hongxing, Domain decomposition method for parabolic equation on general domain, Appl. Math. J. Chinese University, 1995, No.1.
  116. 袁益让, 梁栋, 芮洪兴等, 海水入侵数值模拟的特征差分方法和最佳L2误差估计, 应用数学学报, 1996年3期.
  117. 袁益让, 梁栋, 芮洪兴等, 长庆油田地层硫酸盐结垢预测模拟, 石油学报, 1996年4期.
  118. Yuan Yirang, Liang Dong, Hongxing Rui, Characteristic finite element methods for seawater intrusion numerical simulation and theoretical analysis, Acta Math. Appli. Sinica, Vol.14, No.1, 1998.
  119. Hongxing Rui, Parallel domain decomposition method with mixed element, 95' International conference on Parallel Algorithm, Nov. 1995. Special Issue on Parallel Algorithms, J. Wuhan University, 1996.
  120. 芮洪兴,稳态对流扩散方程的斜迎风格式(摘要),计算物理,1997年4,5期。
  121. 芮洪兴,抛物型方程初边值问题的弱形式Schwarz算法及L2误差估计,山东大学学报,1996年1期。
  122. 芮洪兴,对流扩散方程的沿特征线修正的区域分解并行算法,山东大学学报,1998年2期。
  123. 袁益让,梁栋,芮洪兴,海水入侵及防治工程的预测模拟,海水入侵灾害防治研究, 山东科学技术出版社,1996年3月。
  124. Hongxing Rui, A Kind of characteristic splitting methed for concention diffusion equations, 96 Symposium on Compatational Physics for Chinese Overseas and at home, 1996, Beijing.
  125. 袁益让,梁栋,芮洪兴,海水入侵的数学模型,海洋大学出版社,1994年12月。
  126. 袁益让,梁栋,芮洪兴,防治海水入侵主要工程的后效和调控模式研究,国家八五攻关“海水入侵防治试验研究结束报告 85-806-06-04”,1995年12月。
  127. 芮洪兴,双重介质油藏单相可压缩流动的特征差分格式及理论分析,应用数学学报,1994年第1期。
  128. Hongxing Rui, Domain decomposition methods for two phase displacemeat in porous media, Proceeding of the Conference On Scientific and Engineering Computing for Young Chinese Seientists, National Defence Industry Press, Beijing, 1994.
  129. 芮洪兴,解椭园变分不等式问题的区域分解与异步并行算法,高校应用数学学报,1994年第1期。
  130. 芮洪兴,一类抛物型问题的Schwarz交替法及误差估计,高等学校计算数学学报,1993年第4期。
  131. 芮洪兴,拟线性伪抛物方程的特征有限元法,高等学校计算数学学报,1992年第2期。
  132. 芮洪兴,拟线性伪双曲型方程的变网格有限元解法,高等学校计算数学学报,1988年第4期。
  133. 芮洪兴,拟线性Sobolev 方程的特征有限元格式及最优阶误差估计,山东大学学报,1994年第2期。
  134. 芮洪兴,裂缝一孔隙介质单相可压缩流动的特征有限元格式,山东大学学报,1993年第3期。
  135. 芮洪兴,一类 Sobolev方程有限元法的超收敛性,山东大学学报,1992年3期。
  136. 芮洪兴,拟线性 Sobolev方程的变网格有限元法,山东大学学报,1988年第3期。
  137. 芮洪兴,一类抛物型问题的区域分裂与并行算法,全国第四届并行算法学术会议论文集,航空工业出版社,1993年。
  138. 袁益让,梁栋,芮洪兴等,地层硫酸盐结垢趋势预测软件系统研究开发结束报告,山东大学,1992年12月。
  • 专著

袁益让,芮洪兴,梁栋,环境科学数值模拟的理论和实际应用,北京,科学出版社,2014.03。