Edit Profile (opens in new tab) Li, Kaitai Compute Distance To: Compute Author ID: li.kaitai Published as: Li, Kaitai; Li, Kai-Tai; Li, Kai-tai; Li, Kai Tai; Li, K. Further Spellings: 李開泰 Homepage: http://math.cts.nthu.edu.tw/Mathematics/visit_pro/KT_Li.html External Links: MGP · ResearchGate · dblp Documents Indexed: 278 Publications since 1982 3 Contributions as Editor Co-Authors: 100 Co-Authors with 265 Joint Publications 3,292 Co-Co-Authors all top 5 Co-Authors 1 single-authored 32 He, Yinnian 30 Huang, Aixiang 18 An, Rong 17 Li, Yuan 13 Wang, Heyuan 12 Hou, Yanren 12 Zhao, Chunshan 11 Jia, Hongen 10 Zhang, Zhengce 8 Li, Dongsheng 8 Su, Jian 8 Yu, Jiaping 8 Yu, Yongjiang 7 Feng, Weibing 7 Liu, Lianzhen 7 Ma, Yichen 7 Shi, Feng 6 Guo, Xiulan 6 Lin, Bin 6 Liu, Demin 6 Liu, Zhixing 6 Mei, Zhen 6 Shen, Xiaoqin 6 Wang, Lizhou 5 Chen, Zhangxin 5 Li, Du 5 Wang, Weimin 4 Li, Mingjun 4 Yang, Xiaozhong 4 Zhang, Chengdian 4 Zhang, Wenling 3 Dou, Jiawei 3 Hu, Changbing 3 Wang, Shangjin 3 Zhang, Wu 3 Zhang, Yindi 2 Chen, Hongbin 2 Cheng, Zhengxing 2 Gao, Limin 2 Hong, Li 2 Hua, Cuncai 2 Jia, Huilian 2 Jia, Huiyong 2 Ju, Guoliang 2 Li, Gongsheng 2 Li, Jingzhi 2 Liu, Haihu 2 Shi, Dongyang 2 Wei, Gaofeng 2 Xu, Zhongfeng 2 Yang, Qian 2 Zhang, Feijun 2 Zhang, Quande 2 Zhang, Yin 1 Bai, Lin 1 Cao, Xiaoshan 1 Chen, Guting 1 Chen, Lansun 1 Chen, Rongliang 1 Chen, Zhiqiang 1 Cheng, Anping 1 Cheng, Hong Bin 1 Chu, Yuchuan 1 Duan, Jinqiao 1 Fan, Hongzhou 1 Feng, Guorui 1 Feng, Wei 1 Gao, Fuhai 1 Gao, Hongfen 1 Gao, Shihao 1 Glowinski, Roland 1 Golubitsky, Martin A. 1 Holm, Darryl D. 1 Hu, Guoqing 1 Iooss, Gérard 1 Jiang, Haihui 1 Jiang, Song 1 Jiang, Weifeng 1 Li, Can 1 Li, Cuihua 1 Li, Haoming 1 Li, Jian 1 Li, Xiuqin 1 Liu, Kam-Moon 1 Liu, Songhua 1 Marsden, Jerrold Eldon 1 Miao, Yu 1 Shi, Peilin 1 Song, Guohua 1 Sun, Haiyan 1 Tam, Lap-Mou 1 Tang, Chehong 1 Teng, Kaimin 1 Tian, Pengbo 1 Wang, Aiwen 1 Wang, Xue 1 Wu, Jianhua 1 Wu, XueHong 1 Xiang, Yimin 1 Xu, Zongfeng ...and 10 more Co-Authors all top 5 Serials 15 Journal of Xi’an Jiaotong University 14 Journal of Computational Mathematics 11 Acta Mathematicae Applicatae Sinica. English Series 10 Acta Mathematicae Applicatae Sinica 10 Applied Mathematics and Mechanics. (English Edition) 8 Acta Mathematica Sinica 8 Chinese Journal of Engineering Mathematics 7 Applied Mathematics and Computation 7 Mathematica Numerica Sinica 7 Numerical Methods for Partial Differential Equations 7 Mathematica Applicata 7 Applied Mathematics. Series A (Chinese Edition) 6 Computers & Mathematics with Applications 6 Chinese Annals of Mathematics. Series A 6 Journal of Partial Differential Equations 5 Journal of Mathematical Analysis and Applications 5 Journal of Engineering Mathematics (Xi’an) 4 Acta Mathematica Scientia 4 Numerical Mathematics 4 Acta Mathematica Scientia. Series A. (Chinese Edition) 4 Acta Mathematica Scientia. Series B. (English Edition) 3 Computer Methods in Applied Mechanics and Engineering 3 Computing 3 Journal of Computational and Applied Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Applied Mathematics Letters 3 Applied Mathematical Modelling 3 Applied Mathematics 3 Applied Mathematics. Series B (English Edition) 3 Discrete and Continuous Dynamical Systems 3 Acta Mathematica Sinica. English Series 3 International Journal of Numerical Analysis and Modeling 2 Mathematical Methods in the Applied Sciences 2 Chaos, Solitons and Fractals 2 Information Sciences 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Journal of Mathematical Research & Exposition 2 Chinese Annals of Mathematics. Series B 2 Systems Science and Mathematical Sciences 2 International Journal of Computer Mathematics 2 Communications in Numerical Methods in Engineering 2 Engineering Analysis with Boundary Elements 2 Mathematical Problems in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 AJXJTU. Academic Journal of Xi’an Jiaotong University 2 Scientia Sinica. Mathematica 1 Applicable Analysis 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical Methods in Fluids 1 International Journal of Solids and Structures 1 Czechoslovak Mathematical Journal 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Studies in Applied Mathematics 1 Acta Mechanica Sinica 1 Journal of Lanzhou University. Natural Sciences 1 Acta Mathematica Hungarica 1 Advances in Mathematics 1 Journal of Systems Science and Mathematical Sciences 1 Acta Physica Sinica 1 Journal of Biomathematics 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Dynamic Systems and Applications 1 Acta Mathematica Sinica. New Series 1 Applied Mechanics Reviews 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Physics of Fluids 1 Journal of Inverse and Ill-Posed Problems 1 NoDEA. Nonlinear Differential Equations and Applications 1 Pure and Applied Mathematics 1 Chinese Journal of Numerical Mathematics and Applications 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Mathematical Study 1 Progress in Natural Science 1 Journal of Shaanxi Normal University. Natural Science Edition 1 The ANZIAM Journal 1 Scientiae Mathematicae Japonicae 1 Journal of Systems Science and Complexity 1 Journal of Henan Normal University. Natural Science 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Contemporary Mathematics 1 Acta Mechanica Sinica 1 Frontiers of Mathematics in China 1 Communications in Computational Physics 1 International Journal of Intelligent Computing and Cybernetics 1 International Journal of Numerical Methods and Applications 1 Communication on Applied Mathematics and Computation 1 Fuzzy Systems and Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Electronic Research Archive all top 5 Fields 151 Fluid mechanics (76-XX) 131 Partial differential equations (35-XX) 128 Numerical analysis (65-XX) 28 Dynamical systems and ergodic theory (37-XX) 16 Ordinary differential equations (34-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Mechanics of deformable solids (74-XX) 12 Operator theory (47-XX) 8 Biology and other natural sciences (92-XX) 6 Geophysics (86-XX) 5 Mathematical logic and foundations (03-XX) 5 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Computer science (68-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 133 Publications have been cited 777 times in 488 Documents Cited by ▼ Year ▼ Two-level stabilized finite element methods for the steady Navier-Stokes problem. Zbl 1099.65111He, Yinnian; Li, Kaitai 80 2005 Fuzzy filters of BL-algebras. Zbl 1075.03036Liu, Lianzhen; Li, Kaitai 34 2005 An AIM and one-step Newton method for the Navier-Stokes equations. Zbl 1011.76045Li, Kaitai; Hou, Yanren 32 2001 Fuzzy Boolean and positive implicative filters of BL-algebras. Zbl 1072.03037Liu, Lianzhen; Li, Kaitai 30 2005 Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations. Zbl 0903.76052He, Yinnian; Li, Kaitai 29 1998 Existence of the solution to stationary Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1221.35282Li, Yuan; Li, Kaitai 24 2011 Pressure projection stabilized finite element method for Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1190.35176Li, Yuan; Li, Kaitai 22 2010 Uzawa iteration method for Stokes type variational inequality of the second kind. Zbl 1211.35220Li, Yuan; Li, Kai-Tai 20 2011 Fuzzy implicative and Boolean filters of \(R_{0}\) algebras. Zbl 1066.03062Liu, Lianzhen; Li, Kaitai 18 2005 Penalty finite element method for Stokes problem with nonlinear slip boundary conditions. Zbl 1173.76023Li, Yuan; Li, Kaitai 17 2008 Global strong solutions of two-dimensional Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1245.35083Li, Yuan; Li, Kaitai 17 2012 Postprocessing Fourier Galerkin method for the Navier-Stokes equations. Zbl 1406.65096Hou, Yanren; Li, Kaitai 16 2009 A new stabilized mixed finite-element method for Poisson equation based on two local Gauss integrations for linear element pair. Zbl 1241.65091Shi, Feng; Yu, Jiaping; Li, Kaitai 15 2011 Nonlinear Galerkin method and two-step method for the Navier-Stokes equations. Zbl 0852.76042He, Yinnian; Li, Kaitai 14 1996 The uniform attractor for the 2D non-autonomous Navier-Stokes flow in some unbounded domain. Zbl 1057.35031Hou, Yanren; Li, Kaitai 13 2004 Finite element analysis of the Stokes equations with damping. Zbl 1240.76015Liu, Demin; Li, Kaitai 12 2010 A dimension split method for the 3-D compressible Navier-Stokes equations in turbomachine. Zbl 0999.76080Li, Kaitai; Huang, Aixiang; Zhang, Wenling 12 2002 Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem. Zbl 1140.76322He, Yinnian; Li, Kaitai 12 2004 Existence and nonexistence of global solutions for the equation of dislocation of crystals. Zbl 0926.35073Li, Kaitai; Zhang, Quande 11 1998 A small eddy correction method for nonlinear dissipative evolutionary equations. Zbl 1130.76390Hou, Yanren; Li, Kaitai 10 2003 Characteristic stabilized finite element method for the transient Navier-Stokes equations. Zbl 1231.76150Jia, Hongen; Li, Kaitai; Liu, Songhua 9 2010 A dimensional splitting method for the linearly elastic shell. Zbl 1116.74037Li, Kaitai; Shen, Xiaoqin 9 2007 On the rotating Navier-Stokes equations with mixed boundary conditions. Zbl 1151.35411Li, Kaitai; An, Rong 9 2008 Solvability of Navier-Stokes equations with leak boundary conditions. Zbl 1180.35404An, Rong; Li, Yuan; Li, Kai-Tai 8 2009 Pressure projection stabilized finite element method for Stokes problem with nonlinear slip boundary conditions. Zbl 1285.76008Li, Yuan; Li, Kaitai 8 2011 Finite element nonlinear Galerkin methods for penalty Navier-Stokes equations. Zbl 0859.76040Li, Kaitai; Zhou, Lei 8 1995 On the existence of exactly one and two periodic solutions of Lienard equation. Zbl 1387.34062Chen, Hongbin; Li, Kaitai; Li, Dongsheng 8 2004 An improved localized radial basis function meshless method for computational aeroacoustics. Zbl 1259.76050Li, K.; Huang, Q. B.; Wang, J. L.; Lin, L. G. 8 2011 A decoupling method with different subdomain time steps for the non-stationary Navier-Stokes/Darcy model. Zbl 1399.65254Jia, Huiyong; Shi, Peilin; Li, Kaitai; Jia, Hongen 7 2017 Locally stabilized finite element method for the Stokes problem with nonlinear slip boundary conditions. Zbl 1240.76005Li, Yuan; Li, Kaitai 7 2010 Tangent space correction method for the Galerkin approximation based on two-grid finite element. Zbl 1094.65099Hou, Yanren; Li, Kaitai 7 2006 On positive solutions of the Lotka–Volterra cooperating models with diffusion. Zbl 1028.35070Wang, Lizhou; Li, Kaitai 7 2003 An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier-Stokes equations. Zbl 1134.76385He, Yinnian; Wang, Aiwen; Chen, Zhangxin; Li, Kaitai 7 2003 A third accurate operator splitting method. Zbl 1211.65140Jia, Hongen; Li, Kaitai 6 2011 Stokes coupling method for the exterior flow. I: Approximate accuracy. Zbl 1137.76341He, Yinnian; Li, Kaitai 6 1999 The coupling of finite element method and boundary element method for two-dimensional Helmholtz equation in an exterior domain. Zbl 0633.65106Jiang, Song; Li, Kaitai 6 1987 Mathematical aspect of the stream-function equations of compressible turbomachinery flows and their finite element approximations using optimal control. Zbl 0509.76071Li, Kai-Tai; Huang, Ai-Xiang 6 1983 Taylor expansion algorithm for the branching solution of the Navier-Stokes equations. Zbl 1100.35079Li, Kaitai; He, Yinnian 6 2005 Existence of solutions for the MHD-Leray-alpha equations and their relations to the MHD equations. Zbl 1185.35201Yu, Yongjiang; Li, Kaitai 6 2007 Dual reciprocity hybrid boundary node method for acoustic eigenvalue problems. Zbl 1244.76076Li, K.; Huang, Q. B.; Miao, Y. 6 2010 An inverse parabolic problem for nonlinear source term with nonlinear boundary conditions. Zbl 1048.35136Li, Gongsheng; Ma, Yichen; Li, Kaitai 5 2003 Variational inequality for the rotating Navier-Stokes equations with subdifferential boundary conditions. Zbl 1155.76316An, Rong; Li, Kaitai 5 2008 Coupling method for the exterior stationary Navier-Stokes equations. Zbl 0765.76064Li, Kaitai; He, Yinnian 5 1993 A monotone-iterative method for finding periodic solutions of an impulsive competition system on tumor-normal cell interaction. Zbl 1100.92027Dou, Jiawei; Chen, Lansun; Li, Kaitai 5 2004 The coupling of boundary integral and finite element methods for the Navier-Stokes equations in an exterior domain. Zbl 0667.76049Li, Kaitai; He, Yinnian 5 1989 Spike-layered solutions of singularly perturbed quasilinear Dirichlet problems. Zbl 1073.35017Zhang, Zhengce; Li, Kaitai 5 2003 Optimal shape design for blade’s surface of an impeller via the Navier-Stokes equations. Zbl 1123.65064Li, Kaitai; Su, Jian; Gao, Limin 5 2006 B-spline solution of a singularly perturbed boundary value problem arising in biology. Zbl 1198.65248Lin, Bin; Li, Kaitai; Cheng, Zhengxing 5 2009 Pseudo-MTL algebras and pseudo-\(R_0\) algebras. Zbl 1080.06016Liu, Lianzhen; Li, Kaitai 5 2005 Dimension splitting method for 3D rotating compressible Navier-Stokes equations in the turbomachinery. Zbl 1158.76316Li, Kaitai; Liu, Demin 4 2009 Dynamic crushing behavior of honeycomb structures with irregular cell shapes and non-uniform cell wall thickness. Zbl 1166.74424Li, K.; Gao, X.-L.; Wang, J. 4 2007 An extrapolation method for BEM. Zbl 0673.65072Yan, Ning; Li, Kaitai 4 1989 Existence of solutions and Gevrey class regularity for Leray-alpha equations. Zbl 1081.35083Yu, Yong-Jiang; Li, Kai-Tai 4 2005 Nonexistence of positive solutions of \(-\Delta u = K(x)u^p\) in \(\mathbb R^n\). Zbl 1139.35347Wang, Weimin; Li, Kaitai; Hong, Li 4 2005 Thermocapillary convection in floating zones. Zbl 1145.76365Hu, W. R.; Tang, Z. M.; Li, K. 4 2008 Stokes coupling method for the exterior flow. II: Well-posedness analysis. Zbl 0891.35116Li, Kaitai; He, Yinnian 3 1996 The global attractor of Navier-Stokes equations with linear dampness on the whole two-dimensional space and estimates of its dimensions. Zbl 0954.35132Zhao, Chunshan; Li, Kaitai 3 2000 The coupling of boundary integral and finite element methods for the nonstationary exterior flow. Zbl 0922.76247He, Yinnian; Li, Kaitai 3 1998 Solvability of the 3D rotating Navier-Stokes equations coupled with a 2D biharmonic problem with obstacles and gradient restriction. Zbl 1205.35181An, Rong; Li, Kaitai; Li, Yuan 3 2009 Dimension splitting method for the three dimensional rotating Navier-Stokes equations. Zbl 1253.76127Li, Kai-tai; Yu, Jia-ping; Shi, Feng; Huang, Ai-xiang 3 2012 A new mixed finite element scheme for elliptic equations. Zbl 1240.76021Shi, Feng; Yu, Jiaping; Li, Kaitai 3 2011 A new approximate inertial manifold and associated algorithm. Zbl 1103.65116Li, Kaitai; Xu, Zhongfeng; Yang, Xiaozhong 3 2006 On existence, uniqueness and \(L^r\)-exponential stability for stationary solutions to the MHD equations in three-dimensional domains. Zbl 1060.35114Zhao, Chunshan; Li, Kaitai 3 2004 An asymptotic analysis method for the linear shell. Zbl 1095.74020Li, Kaitai; Zhang, Wenling; Huang, Aixiang 3 2004 Gevrey class regularity for the viscous Camassa-Holm equations. Zbl 1122.35116Yu, Yongjiang; Li, Kaitai 3 2005 The coupling of boundary element and finite element methods for the exterior nonstationary Navier-Stokes equations. Zbl 0734.76041He, Yinnian; Li, Kaitai 3 1991 \(R_0\)-algebras and weak dually residuated lattice ordered semigroups. Zbl 1164.06324Liu, Lianzhen; Li, Kaitai 3 2006 An efficient two-grid method for the Cahn-Hilliard equation with the concentration-dependent mobility and the logarithmic Flory-Huggins bulk potential. Zbl 1472.65121Jia, Hongen; Li, Yang; Feng, Guorui; Li, Kaitai 3 2020 A stabilized characteristic-nonconforming finite element method for time-dependent incompressible Navier-Stokes equations. Zbl 1383.35140Jia, Huiyong; Li, Kaitai; Jia, Hongen 2 2018 Mixed finite element approximation for the plate contact problem. Zbl 1240.74014An, Rong; Li, Kaitai 2 2010 On the Lorenz systems for the incompressible flow between two concentric rotating cylinders. Zbl 1228.76184Wang, Heyuan; Li, Kaitai 2 2010 The coupling method of finite elements and boundary elements for radiation problem. Zbl 0705.65093He, Yinnian; Li, Kaitai 2 1990 Stability and convergence of optimum spectral nonlinear Galerkin methods. Zbl 1006.35077He, Yinnian; Hou, Yanren; Li, Kaitai 2 2001 Eigenvalue problem of the Stokes operator in the spherical gap region and its application. Zbl 1033.76044Wang, Lizhou; Li, Dongsheng; Li, Kaitai 2 2001 The existence and uniqueness of weak solution of the flow between two concentric rotating spheres. Zbl 0963.76021Feng, Weibing; Li, Kaitai 2 2000 Fourier nonlinear Galerkin method for Navier-Stokes equations. Zbl 0982.76537Li, Kaitai; Hou, Yanren 2 1996 Full discrete nonlinear Galerkin method for the Navier-Stokes equations. Zbl 0807.76038Li, Kaitai; He, Yinnian; Xiang, Yimin 2 1994 Nonconforming finite element penalty method for Stokes equation. Zbl 0909.76051Shi, Dongyang; Feng, Weibing; Li, Kaitai 2 1998 On global \(L^ 2\) stability of large solutions to the three-dimensional evolution system of MHD type describing geophysical flow. Zbl 1125.76413Zhao, Chunshan; Li, Kaitai 2 2001 A new approximate model of nonlinearly elastic flexural shell and its numerical computation. Zbl 1308.74101Shen, Xiaoqin; Li, Kaitai; Li, Can 2 2014 Global bifurcation and long time behavior of the Volterra-Lotka ecological model. Zbl 1091.92503Li, Kaitai; Wang, Lizhou 2 2001 Comparison results for a kind of impulsive parabolic equations with application to population dynamics. Zbl 1106.35003Dou, Jiawei; Li, Kaitai 2 2006 Spike-layered solutions with compact support to some singularly perturbed quasilinear elliptic problems in general smooth domains. Zbl 1039.35044Zhang, Zhengce; Li, Kaitai 2 2004 An asymptotic analysis method for the linearly shell theory. Zbl 1138.74358Li, Kaitai; Zhang, Wenling; Huang, Aixiang 2 2006 Boundary shape control of the Navier-Stokes equations and applications. Zbl 1359.49016Li, Kaitai; Su, Jian; Huang, Aixiang 2 2010 Existence of weak solution of nonhomogeneous steady Navier-Stokes equations with mixed boundary conditions. Zbl 1212.35344An, Rong; Li, Kaitai 2 2009 Stabilized mixed finite element approximation for fourth order obstacle problem. Zbl 1212.65244An, Rong; Li, Kaitai 2 2009 Metric tensor and curvature tensor in deformed shell middle surface. Zbl 1164.74511Shen, Xiaoqin; Li, Kaitai 2 2007 Geometrical design of blade surfaces and boundary control of Navier-Stokes equations. Zbl 1164.76326Li, Kaitai; Su, Jian; Huang, Aixiang 2 2007 A dimension split method for the incompressible Navier-Stokes equations in three dimensions. Zbl 1455.76035Chen, H.; Li, K.; Wang, S. 2 2013 Regularity of solutions of stationary Navier-Stokes equations with mixed boundary conditions. Zbl 1199.35273An, Rong; Li, Yuan; Li, Kaitai 1 2009 The boundary integral method for the steady rotating Navier-Stokes equations in exterior domain. I: The existence of solution. Zbl 1355.76052An, Rong; Li, Kaitai 1 2010 The \((1+3)\)-dimensional Burgers equation and its comparative solutions. Zbl 1207.65122Lin, Bin; Li, Kaitai 1 2010 A splitting iteration method for a simple corank-2 bifurcation problem. Zbl 0783.65048Li, Kaitai; Mei, Zhen 1 1993 Numerical analysis of bifurcation problems of nonlinear equations. Zbl 0628.65044Li, Kaitai; Mei, Zhen; Zhang, Chengdian 1 1986 Nonlinear Galerkin method for Navier-Stokes equations in streamfunction form. Zbl 0881.76051Li, Kaitai; Ma, Yichen; Feng, Weibing 1 1997 Generalized Reynolds equation and variational inequality in lubrication theory. Zbl 0506.76039Li, Kai-tai; Huang, Ai-xiang 1 1982 Optimal control finite element approximation for penalty variational formulation of three-dimensional Navier-Stokes problem. Zbl 0524.76040Li, Kaitai; Huang, Aixiang; Ma, Yichen; Li, Du; Liu, Zhixing 1 1984 On existence and uniqueness of periodic solutions to the Liénard equation. Zbl 0981.34028Chen, Hongbin; Li, Kaitai 1 2001 Existence and uniqueness of strong periodic solution of the evolution systems describing geophysical flow. I: In bounded domains. Zbl 1005.35013Zhao, Chunshan; Li, Kaitai 1 2001 Full discretization scheme for the dynamics of elliptic membrane shell model. Zbl 1473.65315Shen, Xiaoqin; Yang, Qian; Bai, Lin; Li, Kaitai 1 2021 An efficient two-grid method for the Cahn-Hilliard equation with the concentration-dependent mobility and the logarithmic Flory-Huggins bulk potential. Zbl 1472.65121Jia, Hongen; Li, Yang; Feng, Guorui; Li, Kaitai 3 2020 A dimension splitting and characteristic projection method for three-dimensional incompressible flow. Zbl 1404.76072Chen, Hao; Li, Kaitai; Chu, Yuchuan; Chen, Zhiqiang; Yang, Yiren 1 2019 A stabilized characteristic-nonconforming finite element method for time-dependent incompressible Navier-Stokes equations. Zbl 1383.35140Jia, Huiyong; Li, Kaitai; Jia, Hongen 2 2018 A decoupling method with different subdomain time steps for the non-stationary Navier-Stokes/Darcy model. Zbl 1399.65254Jia, Huiyong; Shi, Peilin; Li, Kaitai; Jia, Hongen 7 2017 Explicit high accuracy maximum resolution dispersion relation preserving schemes for computational aeroacoustics. Zbl 1394.76080Wang, J. L.; Huang, Q. B.; Liu, Z. X.; Li, K. 1 2015 A new approximate model of nonlinearly elastic flexural shell and its numerical computation. Zbl 1308.74101Shen, Xiaoqin; Li, Kaitai; Li, Can 2 2014 A dimension split method for the incompressible Navier-Stokes equations in three dimensions. Zbl 1455.76035Chen, H.; Li, K.; Wang, S. 2 2013 Global strong solutions of two-dimensional Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1245.35083Li, Yuan; Li, Kaitai 17 2012 Dimension splitting method for the three dimensional rotating Navier-Stokes equations. Zbl 1253.76127Li, Kai-tai; Yu, Jia-ping; Shi, Feng; Huang, Ai-xiang 3 2012 Existence of the solution to stationary Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1221.35282Li, Yuan; Li, Kaitai 24 2011 Uzawa iteration method for Stokes type variational inequality of the second kind. Zbl 1211.35220Li, Yuan; Li, Kai-Tai 20 2011 A new stabilized mixed finite-element method for Poisson equation based on two local Gauss integrations for linear element pair. Zbl 1241.65091Shi, Feng; Yu, Jiaping; Li, Kaitai 15 2011 Pressure projection stabilized finite element method for Stokes problem with nonlinear slip boundary conditions. Zbl 1285.76008Li, Yuan; Li, Kaitai 8 2011 An improved localized radial basis function meshless method for computational aeroacoustics. Zbl 1259.76050Li, K.; Huang, Q. B.; Wang, J. L.; Lin, L. G. 8 2011 A third accurate operator splitting method. Zbl 1211.65140Jia, Hongen; Li, Kaitai 6 2011 A new mixed finite element scheme for elliptic equations. Zbl 1240.76021Shi, Feng; Yu, Jiaping; Li, Kaitai 3 2011 A characteristic stabilized finite element method for the non-stationary Navier-Stokes equations. Zbl 1231.76151Jia, Hongen; Liu, Demin; Li, Kaitai 1 2011 Pressure projection stabilized finite element method for Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1190.35176Li, Yuan; Li, Kaitai 22 2010 Finite element analysis of the Stokes equations with damping. Zbl 1240.76015Liu, Demin; Li, Kaitai 12 2010 Characteristic stabilized finite element method for the transient Navier-Stokes equations. Zbl 1231.76150Jia, Hongen; Li, Kaitai; Liu, Songhua 9 2010 Locally stabilized finite element method for the Stokes problem with nonlinear slip boundary conditions. Zbl 1240.76005Li, Yuan; Li, Kaitai 7 2010 Dual reciprocity hybrid boundary node method for acoustic eigenvalue problems. Zbl 1244.76076Li, K.; Huang, Q. B.; Miao, Y. 6 2010 Mixed finite element approximation for the plate contact problem. Zbl 1240.74014An, Rong; Li, Kaitai 2 2010 On the Lorenz systems for the incompressible flow between two concentric rotating cylinders. Zbl 1228.76184Wang, Heyuan; Li, Kaitai 2 2010 Boundary shape control of the Navier-Stokes equations and applications. Zbl 1359.49016Li, Kaitai; Su, Jian; Huang, Aixiang 2 2010 The boundary integral method for the steady rotating Navier-Stokes equations in exterior domain. I: The existence of solution. Zbl 1355.76052An, Rong; Li, Kaitai 1 2010 The \((1+3)\)-dimensional Burgers equation and its comparative solutions. Zbl 1207.65122Lin, Bin; Li, Kaitai 1 2010 Recurrence method for solving singularly perturbed boundary value problems. Zbl 1203.65116Lin, B.; Li, K.; Cheng, Z. 1 2010 Incompatible numerical manifold method for fracture problems. Zbl 1269.74212Wei, Gaofeng; Li, Kaitai; Jiang, Haihui 1 2010 Postprocessing Fourier Galerkin method for the Navier-Stokes equations. Zbl 1406.65096Hou, Yanren; Li, Kaitai 16 2009 Solvability of Navier-Stokes equations with leak boundary conditions. Zbl 1180.35404An, Rong; Li, Yuan; Li, Kai-Tai 8 2009 B-spline solution of a singularly perturbed boundary value problem arising in biology. Zbl 1198.65248Lin, Bin; Li, Kaitai; Cheng, Zhengxing 5 2009 Dimension splitting method for 3D rotating compressible Navier-Stokes equations in the turbomachinery. Zbl 1158.76316Li, Kaitai; Liu, Demin 4 2009 Solvability of the 3D rotating Navier-Stokes equations coupled with a 2D biharmonic problem with obstacles and gradient restriction. Zbl 1205.35181An, Rong; Li, Kaitai; Li, Yuan 3 2009 Existence of weak solution of nonhomogeneous steady Navier-Stokes equations with mixed boundary conditions. Zbl 1212.35344An, Rong; Li, Kaitai 2 2009 Stabilized mixed finite element approximation for fourth order obstacle problem. Zbl 1212.65244An, Rong; Li, Kaitai 2 2009 Regularity of solutions of stationary Navier-Stokes equations with mixed boundary conditions. Zbl 1199.35273An, Rong; Li, Yuan; Li, Kaitai 1 2009 Penalty finite element method for Stokes problem with nonlinear slip boundary conditions. Zbl 1173.76023Li, Yuan; Li, Kaitai 17 2008 On the rotating Navier-Stokes equations with mixed boundary conditions. Zbl 1151.35411Li, Kaitai; An, Rong 9 2008 Variational inequality for the rotating Navier-Stokes equations with subdifferential boundary conditions. Zbl 1155.76316An, Rong; Li, Kaitai 5 2008 Thermocapillary convection in floating zones. Zbl 1145.76365Hu, W. R.; Tang, Z. M.; Li, K. 4 2008 The stream surface method and dimension split method for 3D viscous compressible flow in turbomachinery. Zbl 1174.76019Li, Kaitai; Liu, Demin 1 2008 The Navier-Stokes equations in stream layer or on stream surface and a dimension split method. Zbl 1174.76312Li, Kaitai; Jia, Huilian 1 2008 General Reynolds equation and basic flow between two eccentric rotating cylinders. Zbl 1174.76006Zhang, Yindi; Li, Kaitai 1 2008 Nonexistence of ground states of \(-\Delta u = u^p - u^q\). Zbl 1186.35069Wang, Weimin; Hong, Li; Li, Kaitai 1 2008 A dimensional splitting method for the linearly elastic shell. Zbl 1116.74037Li, Kaitai; Shen, Xiaoqin 9 2007 Existence of solutions for the MHD-Leray-alpha equations and their relations to the MHD equations. Zbl 1185.35201Yu, Yongjiang; Li, Kaitai 6 2007 Dynamic crushing behavior of honeycomb structures with irregular cell shapes and non-uniform cell wall thickness. Zbl 1166.74424Li, K.; Gao, X.-L.; Wang, J. 4 2007 Metric tensor and curvature tensor in deformed shell middle surface. Zbl 1164.74511Shen, Xiaoqin; Li, Kaitai 2 2007 Geometrical design of blade surfaces and boundary control of Navier-Stokes equations. Zbl 1164.76326Li, Kaitai; Su, Jian; Huang, Aixiang 2 2007 Gevrey class regularity and exponential decay property for Navier-Stokes-\(\alpha\) equations. Zbl 1185.35179Yu, Yong-Jiang; Li, Kai-Tai; Huang, Ai-Xiang 1 2007 Finite element approximation for fourth-order nonlinear problem in the plane. Zbl 1193.65195An, Rong; Li, Yuan; Li, Kaitai 1 2007 Some optimal error estimates of biharmonic problem using conforming finite element. Zbl 1193.65202Li, Yuan; An, Rong; Li, Kaitai 1 2007 A new Pokhozhaev identity and its application to fourth order quasilinear elliptic equations. Zbl 1164.35355Li, Yuan; An, Rong; Li, Kaitai 1 2007 Tangent space correction method for the Galerkin approximation based on two-grid finite element. Zbl 1094.65099Hou, Yanren; Li, Kaitai 7 2006 Optimal shape design for blade’s surface of an impeller via the Navier-Stokes equations. Zbl 1123.65064Li, Kaitai; Su, Jian; Gao, Limin 5 2006 A new approximate inertial manifold and associated algorithm. Zbl 1103.65116Li, Kaitai; Xu, Zhongfeng; Yang, Xiaozhong 3 2006 \(R_0\)-algebras and weak dually residuated lattice ordered semigroups. Zbl 1164.06324Liu, Lianzhen; Li, Kaitai 3 2006 Comparison results for a kind of impulsive parabolic equations with application to population dynamics. Zbl 1106.35003Dou, Jiawei; Li, Kaitai 2 2006 An asymptotic analysis method for the linearly shell theory. Zbl 1138.74358Li, Kaitai; Zhang, Wenling; Huang, Aixiang 2 2006 Two-level stabilized finite element methods for the steady Navier-Stokes problem. Zbl 1099.65111He, Yinnian; Li, Kaitai 80 2005 Fuzzy filters of BL-algebras. Zbl 1075.03036Liu, Lianzhen; Li, Kaitai 34 2005 Fuzzy Boolean and positive implicative filters of BL-algebras. Zbl 1072.03037Liu, Lianzhen; Li, Kaitai 30 2005 Fuzzy implicative and Boolean filters of \(R_{0}\) algebras. Zbl 1066.03062Liu, Lianzhen; Li, Kaitai 18 2005 Taylor expansion algorithm for the branching solution of the Navier-Stokes equations. Zbl 1100.35079Li, Kaitai; He, Yinnian 6 2005 Pseudo-MTL algebras and pseudo-\(R_0\) algebras. Zbl 1080.06016Liu, Lianzhen; Li, Kaitai 5 2005 Existence of solutions and Gevrey class regularity for Leray-alpha equations. Zbl 1081.35083Yu, Yong-Jiang; Li, Kai-Tai 4 2005 Nonexistence of positive solutions of \(-\Delta u = K(x)u^p\) in \(\mathbb R^n\). Zbl 1139.35347Wang, Weimin; Li, Kaitai; Hong, Li 4 2005 Gevrey class regularity for the viscous Camassa-Holm equations. Zbl 1122.35116Yu, Yongjiang; Li, Kaitai 3 2005 Liouville-type theorems for semilinear elliptic systems. Zbl 1112.35076Zhang, Zhengce; Wang, Weimin; Li, Kaitai 1 2005 The uniform attractor for the 2D non-autonomous Navier-Stokes flow in some unbounded domain. Zbl 1057.35031Hou, Yanren; Li, Kaitai 13 2004 Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem. Zbl 1140.76322He, Yinnian; Li, Kaitai 12 2004 On the existence of exactly one and two periodic solutions of Lienard equation. Zbl 1387.34062Chen, Hongbin; Li, Kaitai; Li, Dongsheng 8 2004 A monotone-iterative method for finding periodic solutions of an impulsive competition system on tumor-normal cell interaction. Zbl 1100.92027Dou, Jiawei; Chen, Lansun; Li, Kaitai 5 2004 On existence, uniqueness and \(L^r\)-exponential stability for stationary solutions to the MHD equations in three-dimensional domains. Zbl 1060.35114Zhao, Chunshan; Li, Kaitai 3 2004 An asymptotic analysis method for the linear shell. Zbl 1095.74020Li, Kaitai; Zhang, Wenling; Huang, Aixiang 3 2004 Spike-layered solutions with compact support to some singularly perturbed quasilinear elliptic problems in general smooth domains. Zbl 1039.35044Zhang, Zhengce; Li, Kaitai 2 2004 Spectral Galerkin approximation of Couette-Taylor flow. Zbl 1147.76597Wang, Heyuan; Li, Kaitai 1 2004 Radial oscillatory solutions of some quasi-linear elliptic equations. Zbl 1154.35355Zhang, Zhengce; Li, Kaitai 1 2004 Structure of nonnegative nontrivial and positive solutions of singularly perturbed \(p\)-Laplace equations. Zbl 1129.35411Zhang, Zhengce; Li, Kaitai 1 2004 A small eddy correction method for nonlinear dissipative evolutionary equations. Zbl 1130.76390Hou, Yanren; Li, Kaitai 10 2003 On positive solutions of the Lotka–Volterra cooperating models with diffusion. Zbl 1028.35070Wang, Lizhou; Li, Kaitai 7 2003 An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier-Stokes equations. Zbl 1134.76385He, Yinnian; Wang, Aiwen; Chen, Zhangxin; Li, Kaitai 7 2003 An inverse parabolic problem for nonlinear source term with nonlinear boundary conditions. Zbl 1048.35136Li, Gongsheng; Ma, Yichen; Li, Kaitai 5 2003 Spike-layered solutions of singularly perturbed quasilinear Dirichlet problems. Zbl 1073.35017Zhang, Zhengce; Li, Kaitai 5 2003 Current trends in scientific computing. ICM 2002 Beijing satellite conference on scientific computing, August 15–18, 2002, Xi’an, China. Zbl 1024.00037 1 2003 A dimension split method for the 3-D compressible Navier-Stokes equations in turbomachine. Zbl 0999.76080Li, Kaitai; Huang, Aixiang; Zhang, Wenling 12 2002 Stability of Galerkin and inertial algorithms with variable time step size. Zbl 1018.65111He, Yinnian; Li, Kaitai 1 2002 The long time behaviors of non-autonomous evolution system describing geophysical flow within the Earth. Zbl 1038.37061Zhao, Chunshan; Li, Kaitai; Huang, Aixiang 1 2002 Spike-layered solutions of singularly perturbed quasilinear Dirichlet problems on ball. Zbl 1218.35100Zhang, Zhengce; Li, Kaitai; Guo, Xiulan 1 2002 An AIM and one-step Newton method for the Navier-Stokes equations. Zbl 1011.76045Li, Kaitai; Hou, Yanren 32 2001 Stability and convergence of optimum spectral nonlinear Galerkin methods. Zbl 1006.35077He, Yinnian; Hou, Yanren; Li, Kaitai 2 2001 Eigenvalue problem of the Stokes operator in the spherical gap region and its application. Zbl 1033.76044Wang, Lizhou; Li, Dongsheng; Li, Kaitai 2 2001 On global \(L^ 2\) stability of large solutions to the three-dimensional evolution system of MHD type describing geophysical flow. Zbl 1125.76413Zhao, Chunshan; Li, Kaitai 2 2001 Global bifurcation and long time behavior of the Volterra-Lotka ecological model. Zbl 1091.92503Li, Kaitai; Wang, Lizhou 2 2001 On existence and uniqueness of periodic solutions to the Liénard equation. Zbl 0981.34028Chen, Hongbin; Li, Kaitai 1 2001 Existence and uniqueness of strong periodic solution of the evolution systems describing geophysical flow. I: In bounded domains. Zbl 1005.35013Zhao, Chunshan; Li, Kaitai 1 2001 Spectral Galerkin approximation of the nondegenerate turning point of the Navier-Stokes equations. Zbl 1163.76391Wang, Lizhou; Li, Kaitai 1 2001 The global attractor of Navier-Stokes equations with linear dampness on the whole two-dimensional space and estimates of its dimensions. Zbl 0954.35132Zhao, Chunshan; Li, Kaitai 3 2000 ...and 33 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 588 Authors 63 He, Yinnian 46 Li, Kaitai 22 An, Rong 18 Hou, Yanren 17 Li, Jian 16 Feng, Xinlong 16 Huang, Pengzhan 16 Shi, Dongyang 14 Li, Yuan 12 Shang, Yueqiang 10 Mei, Liquan 10 Qiu, Hailong 8 Jing, Feifei 7 Jia, Hongen 7 Si, Zhiyong 7 Zhan, Jianming 7 Zheng, Haibiao 6 Du, Guangzhi 6 Han, Weimin 6 Jun, Young Bae 6 Liu, Qingfang 6 Wang, Kun 6 Zhang, Zhengce 5 Lele, Celestin 5 Liu, Lianzhen 5 Shen, Xiaoqin 5 Shi, Feng 5 Xu, Yang 5 Zhang, Yan 4 Chen, Zhangxin 4 Djoko, Jules K. 4 Fang, Zhichao 4 He, Siriguleng 4 Huang, Aixiang 4 Jin, Jiaojiao 4 Li, Gongsheng 4 Li, Hong 4 Li, Minghao 4 Liu, Bingwen 4 Liu, Yang 4 Ma, Zhenming 4 Ren, Jincheng 4 Su, Jian 4 Weng, Zhifeng 4 Xu, Hui 4 Yang, Xinguang 4 Zhang, Shuhua 4 Zhang, Yongchao 4 Zhou, Kangrui 4 Zuo, Liyun 3 Cung The Anh 3 Dimova, Milena 3 Feng, Minfu 3 Gao, Wei 3 Ge, Zhihao 3 Jiang, Jinping 3 Kaitai, Li 3 Kolkovska, Natalia T. 3 Kutev, Nikolai D. 3 Li, Juntao 3 Li, Zhenzhen 3 Liu, Demin 3 Luo, Zhendong 3 Ma, Xueling 3 Novo, Julia 3 Pao, Chia-Ven 3 Qin, Jin 3 Sassi, Taoufik 3 Sun, Weiwei 3 Wang, Danxia 3 Wang, Heyuan 3 Wang, Wansheng 3 Wang, Wei 3 Wu, Jianhua 3 Xiaoqin, Shen 3 Xin, Xiaolong 3 Yan, Wenjing 3 Yu, Yongjiang 3 Zhang, Guodong 3 Zhao, Caidi 3 Zhu, Jiang 3 Zhu, Liping 2 Ahn, Sun Shin 2 Al Mahbub, Md. Abdullah 2 Ayadi, Mekki 2 Baffico, Leonardo 2 Bakhshi, Mahmood 2 Beneš, Michal 2 Boukrouche, Mahdi 2 Cao, Luling 2 Chen, Yanping 2 Chen, Yiping 2 Cheng, Xiaoyun 2 Cornelis, Chris 2 Dai, Xiaoxia 2 Davvaz, Bijan 2 de Frutos, Javier 2 Deschrijver, Glad 2 Fang, Changjie 2 Feng, Weibing ...and 488 more Authors all top 5 Cited in 124 Serials 29 Applied Mathematics and Computation 27 Journal of Computational and Applied Mathematics 25 Computers & Mathematics with Applications 23 Applied Numerical Mathematics 20 Journal of Scientific Computing 18 Applied Mathematics and Mechanics. (English Edition) 15 Numerical Methods for Partial Differential Equations 14 International Journal of Computer Mathematics 13 Journal of Mathematical Analysis and Applications 12 Information Sciences 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Applied Mathematical Modelling 10 Abstract and Applied Analysis 9 Acta Mathematicae Applicatae Sinica. English Series 9 Nonlinear Analysis. Real World Applications 8 Applicable Analysis 8 Advances in Applied Mathematics and Mechanics 7 Advances in Computational Mathematics 7 Boundary Value Problems 6 Applied Mathematics Letters 6 Engineering Analysis with Boundary Elements 6 Soft Computing 5 Computer Methods in Applied Mechanics and Engineering 5 Mathematics of Computation 5 Computing 5 Fuzzy Sets and Systems 5 Applied Mathematics. Series B (English Edition) 5 Acta Mathematica Sinica. English Series 4 Journal of Computational Physics 4 Mathematical Methods in the Applied Sciences 4 Numerische Mathematik 4 Numerical Algorithms 4 Discrete Dynamics in Nature and Society 4 Communications in Nonlinear Science and Numerical Simulation 4 Discrete and Continuous Dynamical Systems. 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Second Series ...and 24 more Serials all top 5 Cited in 29 Fields 278 Numerical analysis (65-XX) 253 Fluid mechanics (76-XX) 213 Partial differential equations (35-XX) 49 Mathematical logic and foundations (03-XX) 34 Order, lattices, ordered algebraic structures (06-XX) 21 Ordinary differential equations (34-XX) 19 Biology and other natural sciences (92-XX) 18 Mechanics of deformable solids (74-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Operator theory (47-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 7 Integral equations (45-XX) 5 Geophysics (86-XX) 4 Systems theory; control (93-XX) 3 General algebraic systems (08-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Optics, electromagnetic theory (78-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year