百晓学者学者目录

李开泰

西安交通大学

个人简介

李开泰，西安交通大学教授、博士生导师，现任西安交通大学科学计算研究所所长。研究方向为数学与力学，主要工作涉及Navier-Stokes方程的数值方法与理论、弹性壳体的维数分裂法、边界层方程、稳定化有限元方法、惯性流形及非线性Galerkin算法等。

精选作品

期刊论文

  1. Yue Ma, Baotong Li, Yujin Zheng, Q Liu, Jun Hong, Kaitai Li (2026). A novel ordered-path criterion based topology optimization framework for filtration channel design. Applied Mathematical Modelling.DOI
  2. Xue Wang, Hongen Jia, Ming Li, Kaitai Li (2023). Analysis of a Linearized Energy Stable Numerical Scheme for a Modified Incompressible Cahn-Hilliard-Navier-Stokes System. Acta Mathematicae Applicatae Sinica English Series.DOI
  3. Ce Liu, Baotong Li, Qingfang Liu, Jun Hong, Kaitai Li (2023). A novel implicit meshless particle method: NURBS-based particle hydrodynamics (NBPH). Computer Methods in Applied Mechanics and Engineering.DOI
  4. Xue Wang, Kaitai Li, Hongen Jia (2021). A Linear Unconditionally Stable Scheme for the Incompressible Cahn–Hilliard–Navier–Stokes Phase-Field Model. Bulletin of the Iranian Mathematical Society..DOI
  5. Hongen Jia, Xue Wang, Kaitai Li (2020). A novel linear, unconditional energy stable scheme for the incompressible Cahn–Hilliard–Navier–Stokes phase-field model. Computers & Mathematics with Applications.DOI
  6. Guoliang Ju, Can Chen, Rongliang Chen, Jingzhi Li, Kaitai Li, Shaohui Zhang (2020). Numerical simulation for 3D flow in flow channel of aeroengine turbine fan based on dimension splitting method. Electronic Research Archive.DOI
  7. 李开泰（2019）. 科学计算研究所的过去与现在 工业与应用数学在西安交通大学的发展.
  8. Hongen Jia, Li Yang, Guorui Feng, Kaitai Li (2019). An efficient two-grid method for the Cahn–Hilliard equation with the concentration-dependent mobility and the logarithmic Flory-Huggins bulk potential. Applied Mathematics and Computation.DOI
  9. Demin Liu, Kaitai Li (2019). Mixed finite element for two-dimensional incompressible convective Brinkman-Forchheimer equations. Applied Mathematics and Mechanics.DOI
  10. Guoliang Ju, Jingzhi Li, Kaitai Li (2019). A novel variational method for 3D viscous flow in flow channel of turbomachines based on differential geometry. Applicable Analysis.DOI
  11. Hao Chen, Kaitai Li, Yuchuan Chu, Zhiqiang Chen, Yiren Yang (2019). A dimension splitting and characteristic projection method for three-dimensional incompressible flow. Discrete and Continuous Dynamical Systems - B.DOI
  12. Weifeng JIANG, Kaitai Li (2018). Helical symmetric solution of 3d Navier-Stokes equations arising from geometric shape of the boundary. Acta Mathematica Scientia.DOI
  13. 章胤，李开泰（2016）. 三维非线性弹性壳体的维数分裂法. 《工程数学学报》.
  14. Sufang Zhang, Kaitai Li, Hongen Jia (2016). Two-grid stabilized mixed finite element method for fully discrete reaction-diffusion equations. Frontiers of Mathematics.DOI
  15. Rong An, Kaitai Li (2016). Accuracy analysis of the boundary integral method for steady Navier-Stokes equations around a rotating obstacle. Acta Mathematicae Applicatae Sinica English Series.DOI
  16. Xiaoqin Shen, Haoming Li, Kaitai Li, Xiaoshan Cao, Qian Yang (2016). Some Differential Geometric Relations in the Elastic Shell. Mathematical Problems in Engineering.DOI
  17. 封卫兵，李开泰，黄艾香（2015）. 外部绕流的Navier-Stokes方程的边界层方程和维数分裂法. 《应用数学与计算数学学报》.
  18. 李开泰，张武，黄艾香，樊宏周，苏剑（2015）. 三维旋转Navier-Stokes方程有限元维数分裂方法. 《中国科学:数学》.
  19. Huiyong Jia, Huiyong Jia, Kaitai Li, Hongen Jia, Hongen Jia (2015). A Stabilized Characteristic-Nonconforming Finite Element Method for Time-Dependent Incompressible Navier–Stokes Equations. Bulletin of the Malaysian Mathematical Sciences Society.DOI
  20. Hao Chen, Kaitai Li, Yiren Yang, Shangjin Wang (2015). A Dimension Splitting Method for 3-D Incompressible Thermal Flow. Numerical Heat Transfer Part B Fundamentals.DOI
  21. Jian Su, Hong-Zhou Fan, Weibing Feng, Hao Chen, Kaitai Li (2015). The Boundary Layer Equations and a Dimensional Split Method for Navier-Stokes Equations in Exterior Domain of a Spheroid and Ellipsoid. International Journal of Modern Nonlinear Theory and Application.DOI
  22. Hao Chen, Jian Su, Kaitai Li, Shangjin Wang (2014). A Characteristic Projection Method for Incompressible Thermal Flow. Numerical Heat Transfer Part B Fundamentals.DOI
  23. Hongen Jia, Kaimin Teng null, Kaitai Li (2014). On the Error Estimates of a New Operator Splitting Method for the Navier-Stokes Equations. Journal of Computational Mathematics.DOI
  24. Kaitai Li, Hao Chen, Yin Zhang, Shangjin Wang (2014). A new boundary layer equation and its application to the flow in turbo‐machinery. Numerical Methods for Partial Differential Equations.DOI
  25. 于佳平，李开泰（2013）. 两个旋转球之间粘性不可压缩流动的Lorenz系统. 《应用数学学报》.
  26. 李开泰，陈浩，于佳平（2013）. 一个新的边界层方程及其在形状控制中的应用. 《中国科学:数学》.
  27. 李开泰（2013）. Navier-Stokes方程边界形状控制和维数分裂方法及其应用. 《科学出版社》.
  28. 李开泰，于佳平，刘德民（2012）. 复杂边界旋转Navier-Stokes方程的几何方法及二度并行算法. 《应用数学学报》.
  29. 贾宏恩，李开泰，钟贺（2012）. 算子分裂法求解对流–扩散–反应方程. 《工程数学学报》.
  30. 于佳平，史峰，李剑，李开泰（2012）. 应用四边形单元稳定化有限元方法求解定常不可压缩流动问题(英文). 《工程数学学报》.
  31. 贾宏恩，刘德民，李开泰（2012）. 非定常Stokes方程稳定化方法的误差分析. 《工程数学学报》.
  32. Haibiao Zheng, Jiaping Yu, Kaitai Li, Feng Shi (2012). A variational multiscale method with bubble stabilization for the Oseen problem based on two local Gauss integrations. Applied Mathematics and Computation.DOI
  33. Kaitai Li, Jiaping Yu, Feng Shi, Ai-xiang Huang (2012). Dimension splitting method for the three dimensional rotating Navier-Stokes equations. Acta Mathematicae Applicatae Sinica English Series.DOI
  34. Yuan Li, Kaitai Li (2012). Global strong solutions of two-dimensional Navier–Stokes equations with nonlinear slip boundary conditions. Journal of Mathematical Analysis and Applications.DOI
  35. Shen Xiaoqin, Kaitai Li (2012). Dimensional Splitting Method for Nonlinearly Elastic Shell. International Conference on Computer Science and Electronics Engineering (ICCSEE).DOI
  36. 史峰，于佳平，李开泰（2011）. 椭圆型方程的一种新型混合有限元格式. 《工程数学学报》.
  37. Rong An, Li Yuan, Kaitai Li (2011). Fundamental solution of rotating generalized stokes problem in ℝ3. Acta Mathematicae Applicatae Sinica English Series.DOI
  38. Rong An, Kaitai Li (2011). Approximation for Navier–Stokes equations around a rotating obstacle. Applied Mathematics Letters.DOI
  39. Hongen Jia, Demin Liu, Kaitai Li (2011). A characteristic stabilized finite element method for the non-stationary Navier–Stokes equations. Computing.DOI
  40. Yuan Li, Kaitai Li (2011). Existence of the solution to stationary Navier–Stokes equations with nonlinear slip boundary conditions. Journal of Mathematical Analysis and Applications.DOI
  41. Feng Shi, Jiaping Yu, Kaitai Li (2011). A new stabilized mixed finite-element method for Poisson equation based on two local Gauss integrations for linear element pair. International Journal of Computer Mathematics.DOI
  42. Yuan Li, Kaitai Li (2011). Uzawa iteration method for stokes type variational inequality of the second kind. Acta Mathematicae Applicatae Sinica English Series.DOI
  43. Li Yuan, Kaitai Li (2011). Pressure projection stabilized finite element method for Stokes problem with nonlinear slip boundary conditions. Journal of Computational and Applied Mathematics.DOI
  44. Kaitai Li (2011). A New Mixed Finite Element Scheme for Elliptic Equations. Gongcheng shuxue xuebao.
  45. 安荣，李开泰（2010）. Plate Contact问题的混合有限元逼近. 《数学物理学报》.
  46. 刘德民，李开泰（2010）. 带有阻尼项的Stokes方程的有限元分析. 《计算数学》.
  47. 李开泰，史峰（2010）. 二维流面上的流动问题的速度图方法. 《应用数学和力学》.
  48. 陈浩，李开泰，王尚锦（2010）. 叶轮机械通道内压力的修正方程和数值模拟. 《西安交通大学学报》.
  49. 安荣，李开泰，李媛（2010）. 四阶拟线性椭圆方程的有限元误差估计. 《工程数学学报》.
  50. Kaitai Li, Feng Shi (2010). Hodograph method of flow on two-dimensional manifold. Applied Mathematics and Mechanics.DOI
  51. Kaitai Li, Jian Su, Aixiang Huang (2010). Boundary shape control of the Navier-Stokes equations and applications. Chinese Annals of Mathematics Series B.DOI
  52. Hongen Jia, Kaitai Li (2010). A third accurate operator splitting method. Mathematical and Computer Modelling.DOI
  53. Hongen Jia, Kaitai Li, Songhua Liu (2010). Characteristic stabilized finite element method for the transient Navier–Stokes equations. Computer Methods in Applied Mechanics and Engineering.DOI
  54. Yuan Li Yuan Li, Kaitai Li (2010). Locally Stabilized Finite Element Method for Stokes Problem with Nonlinear Slip Boundary Conditions. Journal of Computational Mathematics.DOI
  55. Rong An, Kaitai Li (2010). The boundary integral method for the linearized rotating Navier–Stokes equations in exterior domain. Applied Mathematics and Computation.DOI
  56. Li Yuan, Kaitai Li (2010). Pressure projection stabilized finite element method for Navier–Stokes equations with nonlinear slip boundary conditions. Computing.DOI
  57. 张引娣，李开泰（2009）. 两个非同心旋转圆柱间粘性流动的基本流及其数值解. 《工程数学学报》.
  58. 安荣，李开泰（2009）. 混合边界条件下非齐次定常Navier-Stokes方程弱解的存在性. 《应用数学学报》.
  59. 安荣，李开泰（2009）. 四阶障碍问题的稳定化混合有限元方法. 《应用数学学报》.
  60. 安荣，李媛，李开泰（2009）. 混合边界条件下定常Navier-Stokes方程解的正则性. 《应用数学》.
  61. 安荣，张正策，李媛，李开泰（2009）. 具有指数增长的非线性p-双调和问题解的存在性和非存在性. 《数学年刊A辑(中文版)》.
  62. 沈晓芹，李开泰，黄艾香（2009）. 球面坐标系下的线性弹性壳体的Koiter模型. 《工程数学学报》.
  63. Yindi Zhang, Kaitai Li (2009). Existence of global attractors for a nonlinear evolution equation in Sobolev space Hk. Acta Mathematica Scientia.DOI
  64. 林彬，李开泰（2009）. 求解非线性微分方程的微分变换方法. 《兰州大学学报(自然科学版)》.
  65. Rong An, Kaitai Li (2009). The boundary integral method for the steady rotating Navier–Stokes equations in exterior domain (I): the existence of solution. Nonlinear Differential Equations and Applications NoDEA.DOI
  66. Kaitai Li (2009). The Basic Flow of Viscous Fluid Between Two Eccentric Rotating Cylinders and Numerical Solution. Gongcheng shuxue xuebao.
  67. 张引娣，李开泰（2008）. 两个非同心旋转圆柱间粘性流动的广义雷诺方程及其基本流. 《高校应用数学学报A辑》.
  68. 李开泰，刘德民（2008）. 透平机械内部三维可压缩Navier-Stokes方程的流面方法和维数分裂算法. 《应用数学学报》.
  69. 李开泰，贾惠莲（2008）. 流面上的Navier-Stokes方程及其维数分裂方法. 《数学物理学报》.
  70. 苏剑，李开泰（2008）. 混合边界条件下的三维定常旋转Navier-Stokes方程的原始变量有限元计算. 《计算数学》.
  71. 李开泰（2008）. 重大装备中问题驱动的应用数学理论和方法. 《西安交通大学出版社》.
  72. 李开泰（2008）. 数学物理方程Hilbert空间方法. 《科学出版社》.
  73. 李开泰，史峰（2008）. 两个同心旋转圆柱之间的两种流体的交界面几何形状问题. 《应用数学和力学》.
  74. Kaitai Li, Feng Shi (2008). Geometric shapes of the interface surface of bicomponent flows between two concentric rotating cylinders. Applied Mathematics and Mechanics.DOI
  75. 高丽敏，李开泰，刘波，苏剑（2008）. 积分守恒型N-S方程通用形式及其在数值模拟中的应用. 《计算物理》.
  76. 李开泰（2008）. 广义函数和Sobolev空间.
  77. Rong An, Li Yuan, Kaitai Li (2008). Solvability of Navier-Stokes equations with leak boundary conditions. Acta Mathematicae Applicatae Sinica English Series.DOI
  78. Rong An, Kaitai Li, Yuan Li (2008). Solvability of the 3D rotating Navier–Stokes equations coupled with a 2D biharmonic problem with obstacles and gradient restriction. Applied Mathematical Modelling.DOI
  79. Li Yuan, Kaitai Li (2008). Penalty finite element method for Stokes problem with nonlinear slip boundary conditions. Applied Mathematics and Computation.DOI
  80. 余用江，李开泰（2007）. Leray-Alpha方程的Gewey正则类(英文). 《工程数学学报》.
  81. 余用江，李开泰（2007）. 三维薄区域上MHD方程的渐进分析. 《数学物理学报》.
  82. 刘海湖，苏剑，高丽敏，李开泰，王尚锦（2007）. 算子分裂法求解旋转坐标系下不可压黏性流动. 《西安交通大学学报》.
  83. 李媛，安荣，李开泰（2007）. 一个新Pohozaev恒等式及其在四阶拟线性椭圆方程中的应用. 《西安交通大学学报》.
  84. 李开泰（2007）. 有限元方法及其应用. 《科学出版》.
  85. 沈晓芹，李开泰（2007）. 壳体中性曲面变形后的度量张量和曲率张量. 《西安交通大学学报》.
  86. 李开泰，苏剑，黄艾香 (2007). Geometrical design of blade's surface and boundary control of Navier-Stokes equations. Journal of Pharmaceutical Analysis.
  87. Rong An, Kaitai Li (2007). Variational inequality for the rotating Navier–Stokes equations with subdifferential boundary conditions. Computers & Mathematics with Applications.DOI
  88. Rong An, Li Yuan, Kaitai Li (2007). Finite element approximation for fourth-order nonlinear problem in the plane. Applied Mathematics and Computation.DOI
  89. Li Yuan, Rong An, Kaitai Li (2007). Some optimal error estimates of biharmonic problem using conforming finite element. Applied Mathematics and Computation.DOI
  90. 刘海湖，李开泰，苏剑，王尚锦（2006）. 采用算子分裂法求解不可压黏性流动. 《西安交通大学学报》.
  91. 苏剑，李开泰（2006）. 混合边界条件下的定常旋转Navier-Stokes方程. 《西安交通大学学报》.
  92. 贾惠莲，李东升，李开泰（2006）. 散度型方程梯度估计的一些改进. 《西安交通大学学报》.
  93. 徐忠锋，李开泰，田蓬勃（2006）. 球间隙区域上磁流体动力学方程的流函数形式. 《西安交通大学学报》.
  94. Kaitai Li, Zhong-Feng Xu, Xiaozhong Yang (2006). A NEW APPROXIMATE INERTIAL MANIFOLD AND ASSOCIATED ALGORITHM. Acta Mathematica Scientia.DOI
  95. Yongjiang Yu, Kaitai Li, Ai-xiang Huang (2006). Gevrey Class Regularity and Exponential Decay Property for Navier-Stokes-α Equations. Acta Mathematicae Applicatae Sinica English Series.DOI
  96. Yongjiang Yu, Kaitai Li (2006). Existence of solutions for the MHD-Leray-alpha equations and their relations to the MHD equations. Journal of Mathematical Analysis and Applications.DOI
  97. 王贺元，张文岭，李开泰（2005）. 简单高阶奇异性的数值模拟. 《数学进展》.
  98. 余用江，李开泰，黄艾香（2005）. 磁流体方程的时间解析半径(英文). 《应用数学》.
  99. 余用江，李开泰（2005）. 磁流体方程的时间解析性和时间周期解. 《高校应用数学学报A辑》.
  100. Yinnian He, Kaitai Li (2005). Two-level Stabilized Finite Element Methods for the Steady Navier–Stokes Problem. Computing.DOI
  101. Kaitai Li, Yinnian He (2005). Taylor Expansion Algorithm for the Branching Solution of the Navier-Stokes Equations. International Journal of Numerical Analysis and Modeling.DOI
  102. Yongjiang Yu, Kaitai Li (2005). Gevrey class regularity for the viscous Camassa–Holm equations. Applied Mathematics Letters.DOI
  103. Zheng-Ce Zhang, Wei-Min Wang, Kaitai Li (2005). Liouville-type Theorems for Semilinear Elliptic Systems. Journal of Partial Differential Equations.DOI
  104. 王贺元，朱振广，李开泰（2004）. 多重极限点解分支的数值逼近. 《数学物理学报》.
  105. 陈红斌，李开泰，李东升（2004）. Liénard方程周期解的存在唯一与唯二性问题. 《数学学报(中文版)》.
  106. 郭秀兰，李开泰（2004）. 3维薄区域上Navier-Stokes方程的吸引子(英文). 《工程数学学报》.
  107. 王贺元，李开泰，徐忠锋（2004）. 对称破坏分歧点的分裂迭代方法. 《应用数学学报》.
  108. 王贺元，李开泰（2004）. Couette-Taylor流的谱Galerkin逼近. 《应用数学和力学》.
  109. 张正策，李开泰（2004）. 奇异扰动的p-Laplace方程非负非平凡解和正解的结构. 《应用数学和力学》.
  110. 郭秀兰，李开泰（2004）. 非光滑区域上非自治Navier-Stokes方程非齐边界问题的吸引子. 《应用数学学报》.
  111. 窦家维，李开泰（2004）. 一类脉冲微分方程零解的稳定性. 《系统科学与数学》.
  112. 李开泰（2004）. 张量分析及其应用.
  113. Xiulan Guo, Kaitai Li (2004). ASYMPTOTIC BEHAVIOR OF THE DRIFT-DIFFUSION SEMICONDUCTOR EQUATIONS. Acta Mathematica Scientia.DOI
  114. 张引娣，李开泰（2004）. 非线性对流扩散方程特征有限元法的误差估计. 《长安大学学报(自然科学版)》.
  115. 李开泰，张文岭，黄艾香 (2004). AN ASYMPTOTIC ANALYSIS METHOD FOR THE LINEAR SHELL. Journal of Pharmaceutical Analysis.
  116. 张正策，李开泰 (2004). STRUCTURE OF NONNEGATIVE NONTRIVIAL AND POSITIVE SOLUTIONS OF SINGULARLY PERTURBED p-LAPLACE EQUATIONS. Applied Mathematics and Mechanics(English Edition).
  117. 王贺元，李开泰 (2004). SPECTRAL GALERKIN APPROXIMATION OF COUETTE-TAYLOR FLOW. Applied Mathematics and Mechanics(English Edition).
  118. Yinnian He, Kaitai Li (2004). Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem. Numerische Mathematik.DOI
  119. Yanren Hou, Kaitai Li (2004). The uniform attractor for the 2D non-autonomous Navier–Stokes flow in some unbounded domain. Nonlinear Analysis.DOI
  120. Chunshan Zhao, Kaitai Li (2004). On existence, uniqueness and Lr-exponential stability for stationary solutions to the MHD equations in three-dimensional domains. The ANZIAM Journal.DOI
  121. Yinnian He, Kaitai Li, K. M. Liu (2004). Oseen coupling method for the exterior flow. Part II: Well‐posedness analysis. Mathematical Methods in the Applied Sciences.DOI
  122. Yinnian He, Kaitai Li, Chunshan Zhao (2004). Uniform stability of spectral nonlinear Galerkin methods. Numerical Methods for Partial Differential Equations.DOI
  123. 张正策，王为民，李开泰（2003）. 拟线性椭圆方程的衰减正解. 《应用数学》.
  124. 张正策，李开泰（2003）. 凸区域上拟线性椭圆型方程的尖峰解. 《数学年刊A辑(中文版)》.
  125. 王贺元，李开泰（2003）. Navier-Stokes方程简单分歧点的谱Galerkin逼近. 《西安交通大学学报》.
  126. 李东升，李开泰（2003）. 关于正映射锥上不动点指标的一个猜想. 《数学学报(中文版)》.
  127. 陈红斌，李开泰（2003）. Duffing方程的奇异点方法. 《数学学报(中文版)》.
  128. 侯延仁，李开泰（2003）. 耗散型发展方程的一步Newton法. 《计算数学》.
  129. 窦家维，李开泰（2003）. 脉冲-扩散竞争种群动力系统的研究. 《西安交通大学学报》.
  130. 窦家维，李开泰（2003）. 脉冲-扩散周期竞争系统解的渐近行为(英文). 《生物数学学报》.
  131. 王贺元，李开泰，朱振广，王宇（2003）. 细胞繁殖反应扩散型方程的渐近解. 《工程数学学报》.
  132. Hou Yan-ren, Kaitai Li (2003). IMD based nonlinear Galerkin method. Applied Mathematics and Mechanics.DOI
  133. Yinnian He, Aiwen Wang, Zhangxin Chen, Kaitai Li (2003). An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier‐Stokes equations. Numerical Methods for Partial Differential Equations.DOI
  134. Kaitai Li, Chunshan Zhao (2003). Uniform attractors of non-autonomous dissipative semilinear wave equations*. Progress in Natural Science Materials International.DOI
  135. Yanren Hou, Kaitai Li (2003). A Small Eddy Correction Method for Nonlinear Dissipative Evolutionary Equations. SIAM Journal on Numerical Analysis.DOI
  136. Kaitai Li (2003). SPIKE-LAYERED SOLUTIONS OF A QUASILINEAR ELLIPTIC EQUATION ON CONVEX DOMAIN. Chinese Annals of Mathematics,series A.
  137. 王贺元，王为民，李开泰（2002）. Navier-Stokes方程对称破坏分歧点的谱Galerkin逼近(英文). 《应用数学》.
  138. 赵春山，李开泰（2002）. 描述地球物理流动的磁流体型发展方程定常解的Lr指数稳定性. 《应用数学学报》.
  139. 王立周，李开泰（2002）. 求解Navier-Stokes方程的非退化转向点的扩充系统的一步牛顿迭代法. 《应用数学学报》.
  140. 何银年，李开泰（2002）. 外部非定常Navier-Stokes方程的非线性Galerkin算法. 《应用数学和力学》.
  141. 王立周，李开泰（2002）. Navier-Stokes方程的非奇异解分支的谱Galerkin逼近. 《计算数学》.
  142. 郭秀兰，李开泰，杨守志（2002）. 一类四阶非线性抛物型发展方程的吸引子(英文). 《应用数学》.
  143. 郭秀兰，李开泰（2002）. 3维薄区域上Navier-Stokes方程的吸引子维数估计. 《河南师范大学学报(自然科学版)》.
  144. 李开泰，黄艾香 (2002). THE NAVIER-STOKES EQUATIONS IN STREAM LAYER AND ON STREAM SURFACE AND A DIMENSION SPLIT METHODS. Journal of Pharmaceutical Analysis.
  145. Yinnian He, Kaitai Li (2002). Nonlinear Galerkin method for the exterior nonstationary Navier-Stokes equations. Applied Mathematics and Mechanics.DOI
  146. Yinnian He, Kaitai Li (2002). Stability of Galerkin and Inertial Algorithms with variable time step size. Journal of Computational and Applied Mathematics.DOI
  147. Zheng-Ce Zhang, Kaitai Li, Xiulan Guo (2002). Spike-layered Solutions of Singularly Perturbed Quasilinear Dirichlet Problems on Ball. Journal of Partial Differential Equations.DOI
  148. 赵春山，李开泰（2001）. 地球物理流动的MHD型三维发展方程组的大解全局L2稳定性. 《数学学报(中文版)》.
  149. 陈红斌，李开泰（2001）. 关于Liénard方程周期解的存在性与唯一性. 《数学年刊A辑(中文版)》.
  150. 王立周，李开泰（2001）. Navier-Stokes方程的非退化转向点的谱Galerkin逼近. 《西安交通大学学报》.
  151. 王立周，李东升，李开泰（2001）. 球间隙区域上的Stokes算子的特征问题及应用. 《高校应用数学学报A辑》.
  152. 何银年，李开泰 (2001). Stokes coupling method for the exterior flow Part Ⅲ: regularity. Progress in Natural Science:Materials International.
  153. 李明军，李开泰（2001）. 符号空间及逆极限空间上的正混沌. Journal of Mathematical Research with Applications.
  154. Kaitai Li, Yanren Hou (2001). An AIM and one-step Newton method for the Navier–Stokes equations. Computer Methods in Applied Mechanics and Engineering.DOI
  155. Chunshan Zhao, Kaitai Li (2001). EXISTENCE AND UNIQUENESS OF STRONG PERIODIC SOLUTION OF THE EVOLUTION SYSTEM DESCRIBING GEOPHYSICAL FLOW — PART I: IN BOUNDED DOMAINS. Chinese Annals of Mathematics Series B.DOI
  156. Kaitai Li, Zhao Chunshan (2001). On the uniqueness of the unbounded classical soultion of the evolution system describing geophysical flow within the earth and its associated systems. Acta Mathematicae Applicatae Sinica English Series.DOI
  157. He Yinnian, Hou Yanren, Kaitai Li (2001). Stability and convergence of optimum spectral non‐linear Galerkin methods. Mathematical Methods in the Applied Sciences.DOI
  158. 徐忠锋，王顺金，李开泰（2000）. Wigner表示下的核流体动力学方程. 《西安交通大学学报》.
  159. 李开泰，李东升（2000）. 非线性特征值问题正解的全局分歧. 《高校应用数学学报A辑》.
  160. 李开泰，吴建华（2000）. 耦合的Fitz-Hugh-Nagumo模型的初边值问题. 《数学年刊A辑(中文版)》.
  161. 刘之行，李开泰（2000）. 两同心旋转球间流动问题分歧解的连续算法. 《高等学校计算数学学报》.
  162. 封卫兵，李开泰（2000）. 两同心旋转球间流动的弱解的存在唯一性. 《应用数学和力学》.
  163. 侯延仁，李开泰（2000）. Galerkin方法的一种简单后处理过程. 《应用数学和力学》.
  164. 赵春山，李开泰（2000）. 二维全空间上线性阻尼Navier-Stokes方程的全局吸引子及其维数估计. 《应用数学学报》.
  165. 李东升，李开泰（2000）. 关于锥内正映射不动点指标的一个猜想. 《西安交通大学学报》.
  166. 宋国华，李秀琴，李开泰（2000）. 有代谢功能的Chemostat食物链系统的持久性. 《生物数学学报》.
  167. 李明军，李开泰（2000）. 序列伪轨跟踪性与拓扑可迁. 《应用数学》.
  168. 何银年，李开泰（2000）. 外部流动的Oseen耦合方法,I:Oseen耦合逼近. 《数学学报(中文版)》.
  169. 李开泰，侯延仁（2000）. 时滞惯性流形及近似时滞惯性流形族. 《数学学报(中文版)》.
  170. 赵春山，李开泰（2000）. 无界区域上非自治Navier-Stokes方程的一致吸引子及其维数估计. 《数学学报(中文版)》.
  171. 封卫兵，李开泰 (2000). NONLINEAR GALERKIN METHOD FOR NAVIER-STOKES EQUATIONS WITH STREAM-VORTICITY FORM. Numerical Mathematics(Theory,Methods and Applications).
  172. Heyuan Wang, Kaitai Li (2000). NUMERICAL APPROXIMATIONS OF A SEMI-LINEAR ELLIPTIC PROBLEM. Acta Mathematica Scientia.DOI
  173. Weibing Feng, Kaitai Li (2000). The existence and uniqueness of weak solution of the flow between two concentric rotating spheres. Applied Mathematics and Mechanics.DOI
  174. Hou Yanren, Kaitai Li (2000). A simple postrocess procedure for Galerkin method. Applied Mathematics and Mechanics.DOI
  175. Yinnian He, Kaitai Li (2000). Oseen Coupling Method for the Exterior Flow Part I: Oseen Coupling Approximation. Acta Mathematica Sinica English Series.DOI
  176. Kaitai Li (2000). The Uniform Attractor of Non-Autonomous Navier-Stokes Equations on Unbounded Domains and Estimates of Its Dimensions. Acta Mathematica Sinica English Series.
  177. Chunsban Zhao, Kaitai Li (2000). The Long Time Behaviors of Non-autonomous Navier-Stokes Equations with Linear Dampness on the Whole R2 Space. Journal of Partial Differential Equations.DOI
  178. D. Fang, Kaitai Li (2000). About the Existence Time of Solutions for Field Equations in the One Space Dimension. Journal of Partial Differential Equations.DOI
  179. 赵春山，李开泰（1999）. 二维外区域上Navier-Stokes方程的近似长时间行为. 《西安交通大学学报》.
  180. 李明军，李开泰（1999）. 一类描述混沌映射的符号动力系统. 《高校应用数学学报A辑》.
  181. 何银年，李开泰，高世好（1999）. 非线性Galerkin算法的收敛性和复杂性. 《高校应用数学学报A辑》.
  182. 何银年，李开泰（1999）. Navier-Stokes方程的最佳有限元非线性Galerkin算法. 《计算数学》.
  183. 李开泰，侯延仁（1999）. N-S方程一般近似惯性流形构造和逼近. 《计算数学》.
  184. Yinnian He, Kaitai Li (1999). Stokes coupling method for the exterior flow part I: Approximate accuracy. Acta Mathematicae Applicatae Sinica English Series.DOI
  185. HE Yin-nian, Dong-Sheng Li, Kaitai Li (1999). Nonlinear Galerkin Method and Crank-Nicolson Method for Viscous Incompressible Flow. Journal of Computational Mathematics.DOI
  186. Jinqiao Duan, Darryl D. Holm, Kaitai Li (1999). Variational methods and nonlinear quasigeostrophic waves. Physics of Fluids.DOI
  187. HE Yin-nian, Kaitai Li, Fu-Hai Gao (1999). Finite Element Nonlinear Galerkin Coupling Method for the Exterior Steady Navier-Stokes Problem. Journal of Computational Mathematics.DOI
  188. 何银年，李开泰（1998）. 非线性算子方程的泰勒展式算法. 《数学学报(中文版)》.
  189. 侯延仁，李开泰（1998）. 一种有效的非线性 Galerkin 算法. 《西安交通大学学报》.
  190. 杨晓忠，李开泰（1998）. 潜水污染问题数学模型的广义解. 《高校应用数学学报A辑》.
  191. 何银年，李开泰，黄艾香（1998）. 惯性算法的收敛性和稳定性. 《计算数学》.
  192. Kaitai Li, Huang Aixiang, Wang Heyuan (1998). Bifurcation solution branches and their numerical approximations of a semi-linear elliptic problem with two parameters. Acta Mathematicae Applicatae Sinica English Series.DOI
  193. 陈鹄汀，李开泰 (1998). FICTITIOUS DOMAIN METHODS FOR NAVIER-STOKES EQUATIONS BASED ON PENALTY FACTOR ε. Numerical Mathematics(Theory,Methods and Applications).
  194. 封卫兵，梅立泉，李开泰（1998）. 两同心旋转球间流动的数值模拟(英文). 《计算物理》.
  195. Weibing Feng, Kaitai Li (1998). The spectral method for the flow between two concentric rotating spheres, part I: The full discrete legendre-galerkin methods. Communications in Nonlinear Science and Numerical Simulation.DOI
  196. Yinnian He, Kaitai Li (1998). The coupling of boundary integral and finite element methods for the nonstationary exterior flow. Numerical Methods for Partial Differential Equations.DOI
  197. Kaitai Li, Zhang Quande (1998). Existence and Nonexistence of Global Solutions for the Equation of Dislocation of Crystals. Journal of Differential Equations.DOI
  198. Yinnian He, Kaitai Li (1998). Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations. Numerische Mathematik.DOI
  199. Shi DongYang, Weibing Feng, Kaitai Li (1998). Nonconforming finite element penalty method for stokes equation. Applied mathematics/Applied Mathematics. A Journal of Chinese Universities/Gao-xiao yingyong shuxue xuebao.DOI
  200. Kaitai Li, Changbing Hu (1998). The Stability of Navier-Stokes Equations and the Estimation of Its Attractor Dimension. Journal of Partial Differential Equations.DOI
  201. 化存才，李开泰，马逸尘（1997）. 定常Navier-Stokes方程的Petrov-Galerkin方法. 《应用数学》.
  202. 杨晓忠，李开泰（1997）. 地下水污染数学模型的Galerkin格式及其分析. 《工程数学学报》.
  203. 石东洋，杨晓忠，李开泰（1996）. 非协调任意四边形单元的构造方法. 《工程数学学报》.
  204. Kaitai Li, Yinnian He (1996). STOKES COUPLING METHOD FOR THE EXTERIOR FLOW PART II: WELL-POSEDNESS ANALYSIS. Acta Mathematica Scientia.DOI
  205. Yinnian He, Kaitai Li (1996). Stability analysis of nonlinear galerkin & galerkin methods for nonlinear evolution equations. Applied mathematics/Applied Mathematics. A Journal of Chinese Universities/Gao-xiao yingyong shuxue xuebao.DOI
  206. Yinnian He, Kaitai Li (1996). Nonlinear Galerkin method and two-step method for the Navier-Stokes equations. Numerical Methods for Partial Differential Equations.DOI
  207. Kaitai Li, Yanren Hou (1996). Fourier nonlinear Galerkin method for Navier-Stokes equations. Discrete and Continuous Dynamical Systems.DOI
  208. 李开泰，周磊（1995）. 加罚N-S方程的有限元非线性Galerkin方法. 《计算数学》.
  209. Chengdian Zhang, Kaitai Li (1995). Semicontinuity of multiple integrals onW k,p (Ω, ℜ m )(k≥1). Acta Mathematica Sinica English Series.DOI
  210. Guoqing Hu, Kaitai Li (1995). EXTENDED SYSTEM, BIFURCATION PROBLEM AND HIGH ORDER SINGULARITIES. Acta Mathematica Scientia.DOI
  211. Kaitai Li, Yinnian He, Xiang Yimin (1994). Full discrete nonlinear galerkin method for the Navier-Stokes equations. Applied mathematics/Applied Mathematics. A Journal of Chinese Universities/Gao-xiao yingyong shuxue xuebao.DOI
  212. Chengdian Zhang, Kaitai Li (1994). CAVITATION OF NONLINEAR HYPERELASTICITY IN TOROIDAL BODY. Acta Mathematica Scientia.DOI
  213. 胡志伟，李开泰，苗永淼（1993）. 一种适合离心式叶轮内流计算的曲线坐标系. 《西安交通大学学报》.
  214. 何银年，李开泰 (1993). HIGH-ORDER NONLINEAR GALERKIN METHODS. Numerical Mathematics(Theory,Methods and Applications).
  215. 李翠华，李开泰（1993）. 计算断裂问题的区域分裂算法. 《数值计算与计算机应用》.
  216. 李开泰，每甄（1993）. 非线性问题转向点的数值予测(英文). Journal of Mathematical Research with Applications.
  217. Kaitai Li, Zhen Mei (1993). A Splitting Iteration Method for a Simple Corank-2 Bifurcation Problem. Journal of Computational Mathematics.DOI
  218. Kaitai Li, Yinnian He (1993). Coupling method for the exterior stationary Navier–Stokes equations. Numerical Methods for Partial Differential Equations.DOI
  219. 石东洋，李开泰（1992）. 同心球内流体的分歧问题及算子逼近. 《工程数学学报》.
  220. 李开泰，黄艾香（1992）. 近似惯性流形方法和多级有限元逼近. 《西安交通大学学报》.
  221. 李开泰，黄艾香（1991）. Navier-Stokes方程的近似惯性流形方法. 《西安交通大学学报》.
  222. Yinnian He, Kaitai Li (1991). THE COUPLING OF BOUNDARY ELEMENT AND FINITE ELEMENT METHODS FOR THE EXTERIOR NONSTATIONARY NAVIER-STOKES EQUATIONS. Acta Mathematica Scientia.DOI
  223. 邓炽康，李开泰，黄艾香（1990）. 润滑工程中可压缩广义雷诺方程. 《高校应用数学学报A辑》.
  224. 李开泰，周文龙（1990）. 流面上的流动速度图方法. 《高校应用数学学报A辑》.
  225. Yinnian He, Kaitai Li (1990). The coupling method of finite elements and boundary elements for radiation problem. Acta Mathematicae Applicatae Sinica English Series.DOI
  226. Chengdian Zhang, Kaitai Li (1990). BIFURCATION PROBLEMS OF MULTIPARAMETER AND MULTIBRANCH AND THEIR APPLICATIONS. Acta Mathematica Scientia.DOI
  227. Ning Yan, Kaitai Li (1989). An Extrapolation Method for BEM. Journal of Computational Mathematics.DOI
  228. Kaitai Li, HE Yin-nian (1989). The Coupling of Boundary Integral and Finite Element Methods for the Navier-Stokes Equations in an Exterior Domain. Journal of Computational Mathematics.DOI
  229. 每甄，李开泰（1987）. Hopf分歧问题及其数值分析. 《数学年刊A辑(中文版)》.
  230. 陈掌星，李开泰（1987）. 混合方程的多重网格算法. 《高校应用数学学报A辑》.
  231. Zhangxin Chen, Kaitai Li (1987). The Convergence of the Multigrid Algorithm for Navier-Stokes Equations. Journal of Computational Mathematics.DOI
  232. Song Jiang, Kaitai Li (1987). The Coupling of Finite Element Method and Boundary Element Method for Two-Dimensional Helmholtz Equation in an Exterior Domain. Journal of Computational Mathematics.DOI
  233. Kaitai Li, Zhen Mei, Cheng-dian Zhang (1986). Numerical Analysis of Bifurcation Problems of Nonlinear Equations. Journal of Computational Mathematics.DOI
  234. 李开泰（1985）. Navier-Stokes方程分歧问题. 《工程数学学报》.
  235. 陈安平，李开泰（1985）. 二阶椭圆边值问题的节点展开有限元方法. 《西安交通大学学报》.
  236. 李开泰，黄艾香（1984）. Navier-Stokes问题最优控制有限元逼近. 《西安交通大学学报》.
  237. Kaitai Li, Ai-Xiang Huang (1984). Mathematical Aspect of Optimal Control Finite Element Method for Navier-Stokes Problems. Journal of Computational Mathematics.DOI
  238. Kaitai Li, Huang Ai‐Xiang, Yichen Ma, Li Du, Liu Zhi‐Xing (1984). Optimal control finite element approximation for penalty variational formulation of three‐dimensional Navier–Stokes problem. International Journal for Numerical Methods in Engineering.DOI
  239. 李开泰，黄艾香，李笃，刘之行（1983）. 三维Navier-Stokes方程加罚有限元的共轭梯度法和分块迭代法. 《应用数学和力学》.
  240. 李开泰，黄艾香（1983）. 透平机械内部三元流动的有限元解. 《应用科学学报》.
  241. Kaitai Li, Huang Ai-xiang, Li Du, Liu Zhi‐Xing (1983). The conjugate gradient method and block iterative method for penalty finite element of three dimensional navier-stokes equation. Applied Mathematics and Mechanics.DOI
  242. Kaitai Li, Huang Ai-Xiang (1983). Mathematical aspect of the stream-function equations of compressible turbomachinery flows and their finite element approximations using optimal control. Computer Methods in Applied Mechanics and Engineering.DOI
  243. 李开泰，黄艾香，马逸尘，李笃，刘之行（1982）. Navier-Stokes问题加罚变分形式的最优控制有限元逼近. 《西安交通大学学报》.
  244. 李开泰，黄艾香（1982）. 润滑理论中的广义雷诺方程和不等变分问题. 《应用数学和力学》.
  245. 李开泰，蒋德明，钱树基，赵学亭（1982）. 柴油发动机排气压力波计算. 《力学学报》.
  246. 李开泰，黄艾香（1982）. 一类拟线性椭圆边值变分问题及有限元分析. 《计算数学》.
  247. 李开泰，黄艾香（1982）. 透平机械内部三元流动任意流面流函数的微分方程和它的有限元解. 《力学学报》.
  248. Kaitai Li, Huang Aixiang (1982). Generalized Reynolds equation and variational inequality in lubrication theory. Applied Mathematics and Mechanics.DOI
  249. 李开泰，袁家骧（1981）. 近代梁工程有限元分析. 《固体力学学报》.
  250. 李开泰，黄艾香（1980）. 可压缩流动流函数微分方程的可解性和有限元解的误差估计. 《西安交通大学学报》.
  251. 李开泰，黄艾香，黄庆怀（1980）. 复合层介质三维电场分布有限元计算. 《西安交通大学学报》.
  252. 李开泰（1978）. 叶轮机械准三元流动S1和S2流面上流函数在半测地坐标系下的微分方程定解问题及其有限元解. 《西安交通大学学报》.

预印本

  1. Kaitai Li, Demin Liu (2011). Geometry Method for the Rotating Navier-Stokes Equations With Complex Boundary and the Bi-Parallel Algorithm. arXiv (Cornell University).DOI

研究方向

数学力学

此主页由公开资料整理，尚未经学者本人认领。