Shen, Xiaoqin; Yang, Qian; Bai, Lin; Li, Kaitai Full discretization scheme for the dynamics of elliptic membrane shell model. (English) Zbl 1473.65315 Commun. Comput. Phys. 29, No. 1, 186-210 (2021). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{X. Shen} et al., Commun. Comput. Phys. 29, No. 1, 186--210 (2021; Zbl 1473.65315) Full Text: DOI
Jia, Hongen; Li, Yang; Feng, Guorui; Li, Kaitai An efficient two-grid method for the Cahn-Hilliard equation with the concentration-dependent mobility and the logarithmic Flory-Huggins bulk potential. (English) Zbl 1472.65121 Appl. Math. Comput. 387, Article ID 124548, 15 p. (2020). MSC: 65M60 65M12 65M22 65M55 PDFBibTeX XMLCite \textit{H. Jia} et al., Appl. Math. Comput. 387, Article ID 124548, 15 p. (2020; Zbl 1472.65121) Full Text: DOI
Jia, Hongen; Wang, Xue; Li, Kaitai A novel linear, unconditional energy stable scheme for the incompressible Cahn-Hilliard-Navier-Stokes phase-field model. (English) Zbl 1524.65354 Comput. Math. Appl. 80, No. 12, 2948-2971 (2020). MSC: 65M06 65M12 65M60 76D05 35Q30 65N15 76T06 65N30 PDFBibTeX XMLCite \textit{H. Jia} et al., Comput. Math. Appl. 80, No. 12, 2948--2971 (2020; Zbl 1524.65354) Full Text: DOI
Ju, Guoliang; Chen, Can; Chen, Rongliang; Li, Jingzhi; Li, Kaitai; Zhang, Shaohui Numerical simulation for 3D flow in flow channel of aeroengine turbine fan based on dimension splitting method. (English) Zbl 1453.65327 Electron. Res. Arch. 28, No. 2, 837-851 (2020). MSC: 65M60 65M06 65N30 65M32 65M30 76D05 76N06 76U05 PDFBibTeX XMLCite \textit{G. Ju} et al., Electron. Res. Arch. 28, No. 2, 837--851 (2020; Zbl 1453.65327) Full Text: DOI
Liu, Demin; Li, Kaitai Mixed finite element for two-dimensional incompressible convective Brinkman-Forchheimer equations. (English) Zbl 1416.65457 AMM, Appl. Math. Mech., Engl. Ed. 40, No. 6, 889-910 (2019). MSC: 65N30 65N12 35Q35 PDFBibTeX XMLCite \textit{D. Liu} and \textit{K. Li}, AMM, Appl. Math. Mech., Engl. Ed. 40, No. 6, 889--910 (2019; Zbl 1416.65457) Full Text: DOI
Chen, Hao; Li, Kaitai; Chu, Yuchuan; Chen, Zhiqiang; Yang, Yiren A dimension splitting and characteristic projection method for three-dimensional incompressible flow. (English) Zbl 1404.76072 Discrete Contin. Dyn. Syst., Ser. B 24, No. 1, 127-147 (2019). MSC: 76D05 65M60 76M10 PDFBibTeX XMLCite \textit{H. Chen} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 1, 127--147 (2019; Zbl 1404.76072) Full Text: DOI
Jiang, Weifeng; Li, Kaitai Helical symmetric solution of 3d Navier-Stokes equations arising from geometric shape of the boundary. (English) Zbl 1438.35309 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 3, 1057-1104 (2018). MSC: 35Q30 65N30 76U05 76M10 PDFBibTeX XMLCite \textit{W. Jiang} and \textit{K. Li}, Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 3, 1057--1104 (2018; Zbl 1438.35309) Full Text: DOI
Jia, Huiyong; Li, Kaitai; Jia, Hongen A stabilized characteristic-nonconforming finite element method for time-dependent incompressible Navier-Stokes equations. (English) Zbl 1383.35140 Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 207-230 (2018). MSC: 35Q30 76M10 65N30 65M25 PDFBibTeX XMLCite \textit{H. Jia} et al., Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 207--230 (2018; Zbl 1383.35140) Full Text: DOI
Jia, Huiyong; Shi, Peilin; Li, Kaitai; Jia, Hongen A decoupling method with different subdomain time steps for the non-stationary Navier-Stokes/Darcy model. (English) Zbl 1399.65254 J. Comput. Math. 35, No. 3, 319-345 (2017). MSC: 65M60 65M12 76D05 76S05 76M10 65M50 PDFBibTeX XMLCite \textit{H. Jia} et al., J. Comput. Math. 35, No. 3, 319--345 (2017; Zbl 1399.65254) Full Text: DOI
Zhang, Sufang; Li, Kaitai; Jia, Hongen Two-grid stabilized mixed finite element method for fully discrete reaction-diffusion equations. (English) Zbl 1382.35197 Front. Math. China 12, No. 2, 481-492 (2017). MSC: 35Q30 65M06 65N30 35K57 35B35 65N15 PDFBibTeX XMLCite \textit{S. Zhang} et al., Front. Math. China 12, No. 2, 481--492 (2017; Zbl 1382.35197) Full Text: DOI
Li, Kaitai; Zhang, Wu; Huang, Aixiang; Fan, Hongzhou; Su, Jian A finite element dimensional splitting method for 3D rotating Navier-Stokes equations. (Chinese. English summary) Zbl 1488.65434 Sci. Sin., Math. 45, No. 8, 1299-1318 (2015). MSC: 65M60 76M10 65K05 76D05 76D10 76W05 PDFBibTeX XMLCite \textit{K. Li} et al., Sci. Sin., Math. 45, No. 8, 1299--1318 (2015; Zbl 1488.65434) Full Text: DOI
Shen, Xiaoqin; Li, Kaitai; Li, Can A new approximate model of nonlinearly elastic flexural shell and its numerical computation. (English) Zbl 1308.74101 Numer. Methods Partial Differ. Equations 30, No. 5, 1727-1739 (2014). MSC: 74K25 74S05 53A45 65N30 PDFBibTeX XMLCite \textit{X. Shen} et al., Numer. Methods Partial Differ. Equations 30, No. 5, 1727--1739 (2014; Zbl 1308.74101) Full Text: DOI
Li, Kaitai; Chen, Hao; Zhang, Yin; Wang, Shangjin A new boundary layer equation and its application to the flow in turbo-machinery. (English) Zbl 1308.76171 Numer. Methods Partial Differ. Equations 30, No. 5, 1455-1483 (2014). MSC: 76M10 65N30 76D05 76D10 PDFBibTeX XMLCite \textit{K. Li} et al., Numer. Methods Partial Differ. Equations 30, No. 5, 1455--1483 (2014; Zbl 1308.76171) Full Text: DOI
Jia, Hongen; Teng, Kaimin; Li, Kaitai On the error estimates of a new operator splitting method for the Navier-Stokes equations. (English) Zbl 1313.76025 J. Comput. Math. 32, No. 1, 75-92 (2014). MSC: 76D05 65N15 65N30 PDFBibTeX XMLCite \textit{H. Jia} et al., J. Comput. Math. 32, No. 1, 75--92 (2014; Zbl 1313.76025) Full Text: DOI
Chen, H.; Li, K.; Wang, S. A dimension split method for the incompressible Navier-Stokes equations in three dimensions. (English) Zbl 1455.76035 Int. J. Numer. Methods Fluids 73, No. 5, 409-435 (2013). MSC: 76D05 76M10 65N30 65N55 PDFBibTeX XMLCite \textit{H. Chen} et al., Int. J. Numer. Methods Fluids 73, No. 5, 409--435 (2013; Zbl 1455.76035) Full Text: DOI
Yu, Jiaping; Shi, Feng; Li, Jian; Li, Kaitai Numerical applications of a new stabilized quadrilateral finite element method for stationary incompressible flows. (English) Zbl 1265.76045 Chin. J. Eng. Math. 29, No. 2, 309-316 (2012). MSC: 76M10 76D05 76D07 65N30 PDFBibTeX XMLCite \textit{J. Yu} et al., Chin. J. Eng. Math. 29, No. 2, 309--316 (2012; Zbl 1265.76045)
Li, Kai-tai; Yu, Jia-ping; Shi, Feng; Huang, Ai-xiang Dimension splitting method for the three dimensional rotating Navier-Stokes equations. (English) Zbl 1253.76127 Acta Math. Appl. Sin., Engl. Ser. 28, No. 3, 417-442 (2012). MSC: 76U05 65N30 76M10 PDFBibTeX XMLCite \textit{K.-t. Li} et al., Acta Math. Appl. Sin., Engl. Ser. 28, No. 3, 417--442 (2012; Zbl 1253.76127) Full Text: DOI
Shi, Feng; Yu, Jiaping; Li, Kaitai A new mixed finite element scheme for elliptic equations. (Chinese. English summary) Zbl 1240.76021 Chin. J. Eng. Math. 28, No. 2, 231-237 (2011). MSC: 76M10 65N30 65N12 PDFBibTeX XMLCite \textit{F. Shi} et al., Chin. J. Eng. Math. 28, No. 2, 231--237 (2011; Zbl 1240.76021)
Shi, Feng; Yu, Jiaping; Li, Kaitai A new stabilized mixed finite-element method for Poisson equation based on two local Gauss integrations for linear element pair. (English) Zbl 1241.65091 Int. J. Comput. Math. 88, No. 11, 2293-2305 (2011). Reviewer: Weiying Zheng (Beijing) MSC: 65N12 65N30 35J05 65N15 PDFBibTeX XMLCite \textit{F. Shi} et al., Int. J. Comput. Math. 88, No. 11, 2293--2305 (2011; Zbl 1241.65091) Full Text: DOI
Jia, Hongen; Liu, Demin; Li, Kaitai A characteristic stabilized finite element method for the non-stationary Navier-Stokes equations. (English) Zbl 1231.76151 Computing 93, No. 1, 65-87 (2011). Reviewer: Nicolae Pop (Baia Mare) MSC: 76M10 35Q30 65N30 PDFBibTeX XMLCite \textit{H. Jia} et al., Computing 93, No. 1, 65--87 (2011; Zbl 1231.76151) Full Text: DOI
Li, Yuan; Li, Kaitai Pressure projection stabilized finite element method for Stokes problem with nonlinear slip boundary conditions. (English) Zbl 1285.76008 J. Comput. Appl. Math. 235, No. 12, 3673-3682 (2011). MSC: 76D07 76M10 65N30 65K15 65N15 PDFBibTeX XMLCite \textit{Y. Li} and \textit{K. Li}, J. Comput. Appl. Math. 235, No. 12, 3673--3682 (2011; Zbl 1285.76008) Full Text: DOI
Li, Yuan; Li, Kaitai Locally stabilized finite element method for the Stokes problem with nonlinear slip boundary conditions. (English) Zbl 1240.76005 J. Comput. Math. 28, No. 6, 826-836 (2010). MSC: 76D07 76M10 65N30 PDFBibTeX XMLCite \textit{Y. Li} and \textit{K. Li}, J. Comput. Math. 28, No. 6, 826--836 (2010; Zbl 1240.76005) Full Text: DOI
Liu, Demin; Li, Kaitai Finite element analysis of the Stokes equations with damping. (Chinese. English summary) Zbl 1240.76015 Math. Numer. Sin. 32, No. 4, 433-448 (2010). MSC: 76M10 65N30 65N15 PDFBibTeX XMLCite \textit{D. Liu} and \textit{K. Li}, Math. Numer. Sin. 32, No. 4, 433--448 (2010; Zbl 1240.76015)
An, Rong; Li, Kaitai Mixed finite element approximation for the plate contact problem. (Chinese. English summary) Zbl 1240.74014 Acta Math. Sci., Ser. A, Chin. Ed. 30, No. 3, 666-676 (2010). MSC: 74S05 74K20 65N30 PDFBibTeX XMLCite \textit{R. An} and \textit{K. Li}, Acta Math. Sci., Ser. A, Chin. Ed. 30, No. 3, 666--676 (2010; Zbl 1240.74014)
An, Rong; Li, Kaitai; Li, Yuan Finite element error estimate of fourth order quasilinear elliptic equations. (Chinese. English summary) Zbl 1224.65251 Chin. J. Eng. Math. 27, No. 3, 527-533 (2010). MSC: 65N15 65N30 35J62 35J25 35J66 PDFBibTeX XMLCite \textit{R. An} et al., Chin. J. Eng. Math. 27, No. 3, 527--533 (2010; Zbl 1224.65251)
Li, Kaitai; Su, Jian; Huang, Aixiang Boundary shape control of the Navier-Stokes equations and applications. (English) Zbl 1359.49016 Chin. Ann. Math., Ser. B 31, No. 6, 879-920 (2010). MSC: 49Q10 35Q30 65M60 76D55 PDFBibTeX XMLCite \textit{K. Li} et al., Chin. Ann. Math., Ser. B 31, No. 6, 879--920 (2010; Zbl 1359.49016) Full Text: DOI
Li, Yuan; Li, Kaitai Operator splitting methods for the Navier-Stokes equations with nonlinear slip boundary conditions. (English) Zbl 1407.76069 Int. J. Numer. Anal. Model. 7, No. 4, 785-805 (2010). MSC: 76M10 76D05 65M60 65M12 PDFBibTeX XMLCite \textit{Y. Li} and \textit{K. Li}, Int. J. Numer. Anal. Model. 7, No. 4, 785--805 (2010; Zbl 1407.76069) Full Text: Link
An, Rong; Li, Kaitai The boundary integral method for the linearized rotating Navier-Stokes equations in exterior domain. (English) Zbl 1425.35133 Appl. Math. Comput. 216, No. 9, 2671-2678 (2010). MSC: 35Q30 76M15 76M10 65N38 65N30 76D05 PDFBibTeX XMLCite \textit{R. An} and \textit{K. Li}, Appl. Math. Comput. 216, No. 9, 2671--2678 (2010; Zbl 1425.35133) Full Text: DOI
Li, Yuan; Li, Kaitai Pressure projection stabilized finite element method for Navier-Stokes equations with nonlinear slip boundary conditions. (English) Zbl 1190.35176 Computing 87, No. 3-4, 113-133 (2010). MSC: 35Q30 65N30 65N15 76M10 49J40 PDFBibTeX XMLCite \textit{Y. Li} and \textit{K. Li}, Computing 87, No. 3--4, 113--133 (2010; Zbl 1190.35176) Full Text: DOI
Hou, Yanren; Li, Kaitai Postprocessing Fourier Galerkin method for the Navier-Stokes equations. (English) Zbl 1406.65096 SIAM J. Numer. Anal. 47, No. 3, 1909-1922 (2009). MSC: 65M70 65M12 76D05 PDFBibTeX XMLCite \textit{Y. Hou} and \textit{K. Li}, SIAM J. Numer. Anal. 47, No. 3, 1909--1922 (2009; Zbl 1406.65096) Full Text: DOI
An, Rong; Li, Yuan; Li, Kai-Tai Solvability of Navier-Stokes equations with leak boundary conditions. (English) Zbl 1180.35404 Acta Math. Appl. Sin., Engl. Ser. 25, No. 2, 225-234 (2009). MSC: 35Q30 76D05 49J40 65M60 35D30 PDFBibTeX XMLCite \textit{R. An} et al., Acta Math. Appl. Sin., Engl. Ser. 25, No. 2, 225--234 (2009; Zbl 1180.35404) Full Text: DOI
Su, Jian; Li, Kaitai The finite element method of the three dimensional stationary rotating Navier-Stokes equations in the primitive variables with mixed boundary conditions. (Chinese. English summary) Zbl 1174.76316 Math. Numer. Sin. 30, No. 3, 235-246 (2008). MSC: 76D05 65N15 65N30 PDFBibTeX XMLCite \textit{J. Su} and \textit{K. Li}, Math. Numer. Sin. 30, No. 3, 235--246 (2008; Zbl 1174.76316)
Wei, Gaofeng; Li, Kaitai; Feng, Wei; Gao, Hongfen Stability and convergence analysis of incompatible numerical manifold method. (Chinese. English summary) Zbl 1174.65510 Acta Phys. Sin. 57, No. 2, 639-647 (2008). MSC: 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{G. Wei} et al., Acta Phys. Sin. 57, No. 2, 639--647 (2008; Zbl 1174.65510)
Li, Kaitai; Jia, Huilian The Navier-Stokes equations in stream layer or on stream surface and a dimension split method. (Chinese. English summary) Zbl 1174.76312 Acta Math. Sci., Ser. A, Chin. Ed. 28, No. 2, 266-282 (2008). MSC: 76D05 65N30 76U05 PDFBibTeX XMLCite \textit{K. Li} and \textit{H. Jia}, Acta Math. Sci., Ser. A, Chin. Ed. 28, No. 2, 266--282 (2008; Zbl 1174.76312)
Li, Yuan; Li, Kaitai Penalty finite element method for Stokes problem with nonlinear slip boundary conditions. (English) Zbl 1173.76023 Appl. Math. Comput. 204, No. 1, 216-226 (2008). MSC: 76M10 76D07 65M15 65M60 PDFBibTeX XMLCite \textit{Y. Li} and \textit{K. Li}, Appl. Math. Comput. 204, No. 1, 216--226 (2008; Zbl 1173.76023) Full Text: DOI
Li, Kaitai; Su, Jian; Mei, Liquan Boundary Shape Control of Navier-Stokes Equations and Geometrical Design Method for Blade’s Surface in the Impeller. arXiv:0801.3322 Preprint, arXiv:0801.3322 [math.AP] (2008). MSC: 65N30 76U05 BibTeX Cite \textit{K. Li} et al., ``Boundary Shape Control of Navier-Stokes Equations and Geometrical Design Method for Blade's Surface in the Impeller'', Preprint, arXiv:0801.3322 [math.AP] (2008) Full Text: arXiv
Li, Yuan; An, Rong; Li, Kaitai Some optimal error estimates of biharmonic problem using conforming finite element. (English) Zbl 1193.65202 Appl. Math. Comput. 194, No. 2, 298-308 (2007). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Math. Comput. 194, No. 2, 298--308 (2007; Zbl 1193.65202) Full Text: DOI
An, Rong; Li, Yuan; Li, Kaitai Finite element approximation for fourth-order nonlinear problem in the plane. (English) Zbl 1193.65195 Appl. Math. Comput. 194, No. 1, 143-155 (2007). MSC: 65N30 PDFBibTeX XMLCite \textit{R. An} et al., Appl. Math. Comput. 194, No. 1, 143--155 (2007; Zbl 1193.65195) Full Text: DOI
Wang, He-Yuan; Li, Kai-Tai Spectral approximation of Takens-Bogdanov point of the Navier-Stokes equations for the flow between two concentric rotating spheres. (English) Zbl 1132.35071 Appl. Math. Modelling 31, No. 10, 2123-2135 (2007). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q30 65M70 76M22 76D03 76D05 PDFBibTeX XMLCite \textit{H.-Y. Wang} and \textit{K.-T. Li}, Appl. Math. Modelling 31, No. 10, 2123--2135 (2007; Zbl 1132.35071) Full Text: DOI
Li, Kaitai; Xu, Zhongfeng; Yang, Xiaozhong A new approximate inertial manifold and associated algorithm. (English) Zbl 1103.65116 Acta Math. Sci., Ser. B, Engl. Ed. 26, No. 1, 1-16 (2006). Reviewer: Georg Hebermehl (Berlin) MSC: 65N30 65N15 35Q30 76D05 76M10 PDFBibTeX XMLCite \textit{K. Li} et al., Acta Math. Sci., Ser. B, Engl. Ed. 26, No. 1, 1--16 (2006; Zbl 1103.65116) Full Text: DOI
Hou, Yanren; Li, Kaitai Tangent space correction method for the Galerkin approximation based on two-grid finite element. (English) Zbl 1094.65099 Appl. Math. Comput. 175, No. 1, 413-429 (2006). Reviewer: Dinh Nho Hao (Hanoi) MSC: 65M60 65M12 65M15 35K55 65M55 PDFBibTeX XMLCite \textit{Y. Hou} and \textit{K. Li}, Appl. Math. Comput. 175, No. 1, 413--429 (2006; Zbl 1094.65099) Full Text: DOI
Li, Kaitai; He, Yinnian Taylor expansion algorithm for the branching solution of the Navier-Stokes equations. (English) Zbl 1100.35079 Int. J. Numer. Anal. Model. 2, No. 4, 459-478 (2005). MSC: 35Q30 65N30 65J15 76D05 76M25 PDFBibTeX XMLCite \textit{K. Li} and \textit{Y. He}, Int. J. Numer. Anal. Model. 2, No. 4, 459--478 (2005; Zbl 1100.35079)
He, Yinnian; Li, Kaitai Two-level stabilized finite element methods for the steady Navier-Stokes problem. (English) Zbl 1099.65111 Computing 74, No. 4, 337-351 (2005). MSC: 65N30 35Q30 76M10 35L70 76D06 PDFBibTeX XMLCite \textit{Y. He} and \textit{K. Li}, Computing 74, No. 4, 337--351 (2005; Zbl 1099.65111) Full Text: DOI
Wang, Heyuan; Li, Kaitai Spectral Galerkin approximation of Couette-Taylor flow. (English) Zbl 1147.76597 Appl. Math. Mech., Engl. Ed. 25, No. 10, 1184-1193 (2004). MSC: 76M22 76U05 65J15 65M60 PDFBibTeX XMLCite \textit{H. Wang} and \textit{K. Li}, Appl. Math. Mech., Engl. Ed. 25, No. 10, 1184--1193 (2004; Zbl 1147.76597) Full Text: DOI
He, Yinnian; Wang, Aiwen; Chen, Zhangxin; Li, Kaitai An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier-Stokes equations. (English) Zbl 1134.76385 Numer. Methods Partial Differ. Equations 19, No. 6, 762-775 (2003). MSC: 76M10 76D05 65N30 35Q30 PDFBibTeX XMLCite \textit{Y. He} et al., Numer. Methods Partial Differ. Equations 19, No. 6, 762--775 (2003; Zbl 1134.76385) Full Text: DOI
Hou, Yanren; Li, Kaitai Error estimate for a two-level scheme of Newton type for the Navier-Stokes equations. (English) Zbl 1040.65096 Chen, Zhangxin (ed.) et al., Current trends in scientific computing. ICM 2002 Beijing satellite conference on scientific computing, August 15–18, 2002, Xi’an, China. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3261-1/pbk). Contemp. Math. 329, 183-190 (2003). MSC: 65N30 35Q30 76M10 76D05 65N15 34G20 PDFBibTeX XMLCite \textit{Y. Hou} and \textit{K. Li}, Contemp. Math. 329, 183--190 (2003; Zbl 1040.65096)
Hou, Yanren; Li, Kaitai A small eddy correction method for nonlinear dissipative evolutionary equations. (English) Zbl 1130.76390 SIAM J. Numer. Anal. 41, No. 3, 1101-1130 (2003). MSC: 76M22 65N30 76D05 PDFBibTeX XMLCite \textit{Y. Hou} and \textit{K. Li}, SIAM J. Numer. Anal. 41, No. 3, 1101--1130 (2003; Zbl 1130.76390) Full Text: DOI
Wang, Heyuan; Li, Kaitai Spectral Galerkin approximation of simple bifurcation point of the Navier-Stokes equations. (Chinese. English summary) Zbl 1180.76045 J. Xi’an Jiaotong Univ. 37, No. 4, 420-423 (2003). MSC: 76M22 76D05 76E99 PDFBibTeX XMLCite \textit{H. Wang} and \textit{K. Li}, J. Xi'an Jiaotong Univ. 37, No. 4, 420--423 (2003; Zbl 1180.76045)
Li, Kai Tai; Wang, Li Zhou Spectral Galerkin approximation of branches of nonsingular solutions for the Navier-Stokes equations. (Chinese. English summary) Zbl 1495.76081 Math. Numer. Sin. 24, No. 1, 39-52 (2002). MSC: 76M22 76M10 65N12 65N30 65N35 76D05 PDFBibTeX XMLCite \textit{K. T. Li} and \textit{L. Z. Wang}, Math. Numer. Sin. 24, No. 1, 39--52 (2002; Zbl 1495.76081)
Wang, Lizhou; Li, Kaitai One step Newton-iterations of the extended system for the nondegenerate turning point of the Navier-Stokes equations. (Chinese. English summary) Zbl 1033.35087 Acta Math. Appl. Sin. 25, No. 3, 516-526 (2002). MSC: 35Q30 76M22 76M25 PDFBibTeX XMLCite \textit{L. Wang} and \textit{K. Li}, Acta Math. Appl. Sin. 25, No. 3, 516--526 (2002; Zbl 1033.35087)
He, Yinnian; Li, Kaitai Stability of Galerkin and inertial algorithms with variable time step size. (English) Zbl 1018.65111 J. Comput. Appl. Math. 146, No. 2, 213-230 (2002). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M12 35K55 65M60 PDFBibTeX XMLCite \textit{Y. He} and \textit{K. Li}, J. Comput. Appl. Math. 146, No. 2, 213--230 (2002; Zbl 1018.65111) Full Text: DOI
Wang, He-yuan; Wang, Wei-min; Li, Kai-tai Spectral Galerkin approximation of symmetry-breaking bifurcation point of the Navier-Stokes equations. (English) Zbl 1015.76016 Math. Appl. 15, No. 3, 125-131 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 76D05 76M22 65N12 PDFBibTeX XMLCite \textit{H.-y. Wang} et al., Math. Appl. 15, No. 3, 125--131 (2002; Zbl 1015.76016)
Wang, Lizhou; Li, Kaitai Spectral Galerkin approximation of the nondegenerate turning point of the Navier-Stokes equations. (Chinese. English summary) Zbl 1163.76391 J. Xi’an Jiaotong Univ. 35, No. 4, 421-424 (2001). MSC: 76M10 76D06 35A35 35Q30 65N30 PDFBibTeX XMLCite \textit{L. Wang} and \textit{K. Li}, J. Xi'an Jiaotong Univ. 35, No. 4, 421--424 (2001; Zbl 1163.76391)
Wang, Lizhou; Li, Dongsheng; Li, Kaitai Eigenvalue problem of the Stokes operator in the spherical gap region and its application. (Chinese. English summary) Zbl 1033.76044 Appl. Math., Ser. A (Chin. Ed.) 16, No. 2, 213-222 (2001). MSC: 76M22 76D07 76U05 PDFBibTeX XMLCite \textit{L. Wang} et al., Appl. Math., Ser. A (Chin. Ed.) 16, No. 2, 213--222 (2001; Zbl 1033.76044)
He, Yinnian; Hou, Yanren; Li, Kaitai Stability and convergence of optimum spectral nonlinear Galerkin methods. (English) Zbl 1006.35077 Math. Methods Appl. Sci. 24, No. 5, 289-317 (2001). Reviewer: Ibrahim Aganović (Zagreb) MSC: 35Q30 76M22 76D05 65M60 PDFBibTeX XMLCite \textit{Y. He} et al., Math. Methods Appl. Sci. 24, No. 5, 289--317 (2001; Zbl 1006.35077) Full Text: DOI
Li, Kaitai; Hou, Yanren IMD and a family of approximate IMDs. (Chinese. English summary) Zbl 1007.37036 Acta Math. Sin. 43, No. 3, 435-444 (2000). MSC: 37L25 37L65 35B42 65M12 65M60 PDFBibTeX XMLCite \textit{K. Li} and \textit{Y. Hou}, Acta Math. Sin. 43, No. 3, 435--444 (2000; Zbl 1007.37036)
Feng, Weibing; Li, Kaitai Nonlinear Galerkin method for Navier-Stokes equations with stream-vorticity form. (English) Zbl 1180.76030 Numer. Math., J. Chin. Univ. 9, No. 2, 134-140 (2000). MSC: 76M10 65M60 PDFBibTeX XMLCite \textit{W. Feng} and \textit{K. Li}, Numer. Math., J. Chin. Univ. 9, No. 2, 134--140 (2000; Zbl 1180.76030)
He, Yinnian; Li, Kaitai Oseen coupling method for the exterior flow. I: Oseen coupling approximation. (English) Zbl 0964.35120 Acta Math. Sin., Engl. Ser. 16, No. 2, 337-348 (2000). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q30 76D05 65M60 76M30 PDFBibTeX XMLCite \textit{Y. He} and \textit{K. Li}, Acta Math. Sin., Engl. Ser. 16, No. 2, 337--348 (2000; Zbl 0964.35120) Full Text: DOI
He, Yinnian; Li, Kaitai; Gao, Fuhai Finite element nonlinear Galerkin coupling method for the exterior steady Navier-Stokes problem. (English) Zbl 0969.76044 J. Comput. Math. 17, No. 6, 595-608 (1999). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{Y. He} et al., J. Comput. Math. 17, No. 6, 595--608 (1999; Zbl 0969.76044)
Li, Kaitai; He, Yinnian Stability of inertial algorithms. (English) Zbl 0936.35015 Numer. Math., J. Chin. Univ. 8, No. 1, 1-20 (1999). Reviewer: P.Y.Yalamov (Russe) MSC: 35A35 65M60 65M12 65M06 65M15 PDFBibTeX XMLCite \textit{K. Li} and \textit{Y. He}, Numer. Math., J. Chin. Univ. 8, No. 1, 1--20 (1999; Zbl 0936.35015)
He, Yinnian; Li, Dongsheng; Li, Kaitai Nonlinear Galerkin method and Crank-Nicolson method for viscous incompressible flow. (English) Zbl 0953.76047 J. Comput. Math. 17, No. 2, 139-158 (1999). MSC: 76M10 76D05 65M60 65M12 PDFBibTeX XMLCite \textit{Y. He} et al., J. Comput. Math. 17, No. 2, 139--158 (1999; Zbl 0953.76047)
He, Yinnian; Li, Kaitai; Gao, Shihao Convergence and complexity of nonlinear Galerkin algorithms. (Chinese. English summary) Zbl 0935.65104 Appl. Math., Ser. A (Chin. Ed.) 14, No. 3, 341-349 (1999). MSC: 65M60 35A35 35K90 PDFBibTeX XMLCite \textit{Y. He} et al., Appl. Math., Ser. A (Chin. Ed.) 14, No. 3, 341--349 (1999; Zbl 0935.65104)
He, Yinnian; Li, Kaitai A Taylor expansion algorithm for nonlinear operator equations. (Chinese. English summary) Zbl 1022.47509 Acta Math. Sin. 41, No. 2, 317-326 (1998). MSC: 47J25 65N30 76M25 76D05 PDFBibTeX XMLCite \textit{Y. He} and \textit{K. Li}, Acta Math. Sin. 41, No. 2, 317--326 (1998; Zbl 1022.47509)
Shi, Dongyang; Feng, Weibing; Li, Kaitai Nonconforming finite element penalty method for Stokes equation. (English) Zbl 0909.76051 Appl. Math., Ser. B (Engl. Ed.) 13, No. 1, 53-58 (1998). MSC: 76M10 76D07 65N30 PDFBibTeX XMLCite \textit{D. Shi} et al., Appl. Math., Ser. B (Engl. Ed.) 13, No. 1, 53--58 (1998; Zbl 0909.76051) Full Text: DOI
He, Yinnian; Li, Kaitai Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations. (English) Zbl 0903.76052 Numer. Math. 79, No. 1, 77-106 (1998). MSC: 76M10 76D05 65M12 65M60 PDFBibTeX XMLCite \textit{Y. He} and \textit{K. Li}, Numer. Math. 79, No. 1, 77--106 (1998; Zbl 0903.76052) Full Text: DOI
Hua, Cun Cai; Li, Kai Tai; Ma, Yi Chen Petrov-Galerkin methods for the stationary Navier-Stokes equations. (Chinese. English summary) Zbl 0976.76520 Math. Appl. 10, No. 4, 23-29 (1997). MSC: 76M10 76D05 65N30 PDFBibTeX XMLCite \textit{C. C. Hua} et al., Math. Appl. 10, No. 4, 23--29 (1997; Zbl 0976.76520)
Yang, Xiaozhong; Li, Kaitai Galerkin schemes for mathematical models of groundwater pollution and their analysis. (Chinese. English summary) Zbl 0925.76311 J. Eng. Math., Xi’an 14, No. 4, 67-72, 106 (1997). MSC: 76M10 65M60 76S05 86A05 PDFBibTeX XMLCite \textit{X. Yang} and \textit{K. Li}, J. Eng. Math., Xi'an 14, No. 4, 67--72, 106 (1997; Zbl 0925.76311)
He, Yinnian; Li, Kaitai Nonlinear Galerkin method for steady nonlinear differential equations. (English) Zbl 0907.65114 Syst. Sci. Math. Sci. 10, No. 4, 320-328 (1997). MSC: 65N30 65N12 35J65 PDFBibTeX XMLCite \textit{Y. He} and \textit{K. Li}, Syst. Sci. Math. Sci. 10, No. 4, 320--328 (1997; Zbl 0907.65114)
Li, Kaitai; Ma, Yichen; Feng, Weibing Nonlinear Galerkin method for Navier-Stokes equations in streamfunction form. (English) Zbl 0881.76051 Ding, Xiaxi (ed.) et al., Nonlinear evolutionary partial differential equations. Proceedings of the international conference, Beijing, China, June 21–25, 1993. Providence, RI: American Mathematical Society. AMS/IP Stud. Adv. Math. 3, 521-525 (1997). Reviewer: E.Emmrich (Magdeburg) MSC: 76M10 76D05 65M60 65M99 65N99 PDFBibTeX XMLCite \textit{K. Li} et al., AMS/IP Stud. Adv. Math. 3, 521--525 (1997; Zbl 0881.76051)
He, Yinnian; Li, Kaitai Stability analysis of nonlinear Galerkin and Galerkin methods for nonlinear evolution equations. (English) Zbl 0862.35006 Appl. Math., Ser. B (Engl. Ed.) 11, No. 2, 137-152 (1996). Reviewer: H.Marcinkowska (Wrocław) MSC: 65M99 65N99 65M60 PDFBibTeX XMLCite \textit{Y. He} and \textit{K. Li}, Appl. Math., Ser. B (Engl. Ed.) 11, No. 2, 137--152 (1996; Zbl 0862.35006) Full Text: DOI
He, Yinnian; Li, Kaitai Nonlinear Galerkin method and two-step method for the Navier-Stokes equations. (English) Zbl 0852.76042 Numer. Methods Partial Differ. Equations 12, No. 3, 283-305 (1996). MSC: 76M10 76D05 65M60 76M20 PDFBibTeX XMLCite \textit{Y. He} and \textit{K. Li}, Numer. Methods Partial Differ. Equations 12, No. 3, 283--305 (1996; Zbl 0852.76042) Full Text: DOI
He, Yinnian; Li, Kaitai Nonlinear Galerkin approximation of the two-dimensional exterior Navier-Stokes problem. (English) Zbl 0982.76527 Discrete Contin. Dyn. Syst. 2, No. 4, 467-482 (1996). MSC: 76M10 76D05 35Q30 76D07 65M60 PDFBibTeX XMLCite \textit{Y. He} and \textit{K. Li}, Discrete Contin. Dyn. Syst. 2, No. 4, 467--482 (1996; Zbl 0982.76527) Full Text: DOI
Li, Kaitai; Hou, Yanren Fourier nonlinear Galerkin method for Navier-Stokes equations. (English) Zbl 0982.76537 Discrete Contin. Dyn. Syst. 2, No. 4, 497-524 (1996). MSC: 76M25 76D05 65M60 PDFBibTeX XMLCite \textit{K. Li} and \textit{Y. Hou}, Discrete Contin. Dyn. Syst. 2, No. 4, 497--524 (1996; Zbl 0982.76537) Full Text: DOI
Shi, Dongyang; Yang, Xiaozhong; Li, Kaitai Construction methods for nonconforming arbitrary quadrilateral elements. (Chinese. English summary) Zbl 0925.65182 J. Eng. Math., Xi’an 13, No. 4, 1-6 (1996). MSC: 65N30 PDFBibTeX XMLCite \textit{D. Shi} et al., J. Eng. Math., Xi'an 13, No. 4, 1--6 (1996; Zbl 0925.65182)
Li, Kaitai; Hu, Changbing New hierarchical bases and nonlinear Galerkin methods. (Chinese. English summary) Zbl 0925.65168 J. Eng. Math., Xi’an 13, No. 2, 11-19 (1996). MSC: 65M60 PDFBibTeX XMLCite \textit{K. Li} and \textit{C. Hu}, J. Eng. Math., Xi'an 13, No. 2, 11--19 (1996; Zbl 0925.65168)
Li, Kaitai; He, Yinnian; Xiang, Yimin Full discrete nonlinear Galerkin method for the Navier-Stokes equations. (English) Zbl 0807.76038 Appl. Math., Ser. B (Engl. Ed.) 9, No. 1, 11-30 (1994). MSC: 76M10 76D05 65N30 65M60 PDFBibTeX XMLCite \textit{K. Li} et al., Appl. Math., Ser. B (Engl. Ed.) 9, No. 1, 11--30 (1994; Zbl 0807.76038) Full Text: DOI
He, Yinnian; Li, Kaitai High-order nonlinear Galerkin methods. (English) Zbl 0846.35006 Numer. Math., J. Chin. Univ. 2, No. 2, 210-214 (1993). MSC: 65M99 65N99 65M60 PDFBibTeX XMLCite \textit{Y. He} and \textit{K. Li}, Numer. Math., J. Chin. Univ. 2, No. 2, 210--214 (1993; Zbl 0846.35006)
He, Yinnian; Li, Kaitai The coupling method of finite elements and boundary elements for radiation problem. (English) Zbl 0705.65093 Acta Math. Appl. Sin., Engl. Ser. 6, No. 2, 97-112 (1990). Reviewer: H.Schachtzabel MSC: 65Z05 65N38 65N30 78A40 35Q60 78A45 65N15 PDFBibTeX XMLCite \textit{Y. He} and \textit{K. Li}, Acta Math. Appl. Sin., Engl. Ser. 6, No. 2, 97--112 (1990; Zbl 0705.65093) Full Text: DOI
Yan, Ning; Li, Kaitai An extrapolation method for BEM. (English) Zbl 0673.65072 J. Comput. Math. 7, No. 2, 217-225 (1989). Reviewer: V.Subba-Rao MSC: 65N35 65R20 35J05 35C15 45E10 PDFBibTeX XMLCite \textit{N. Yan} and \textit{K. Li}, J. Comput. Math. 7, No. 2, 217--225 (1989; Zbl 0673.65072)
Chen, Zhangxing; Li, Kaitai The convergence of the multigrid algorithm for Navier-Stokes equations. (English) Zbl 0636.76024 J. Comput. Math. 5, 227-237 (1987). Reviewer: C.-I.Gheorghiu MSC: 76D05 65N30 65N15 76D07 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{K. Li}, J. Comput. Math. 5, 227--237 (1987; Zbl 0636.76024)
Jiang, Song; Li, Kaitai The coupling of finite element method and boundary element method for two-dimensional Helmholtz equation in an exterior domain. (English) Zbl 0633.65106 J. Comput. Math. 5, 21-37 (1987). Reviewer: G.Lippold MSC: 65N30 65N35 65N15 65R20 35C15 35J05 45E10 PDFBibTeX XMLCite \textit{S. Jiang} and \textit{K. Li}, J. Comput. Math. 5, 21--37 (1987; Zbl 0633.65106)
Chen, Zhangxin; Li, Kaitai A multigrid algorithm for mixed problems. (Chinese. English summary) Zbl 0756.65136 Appl. Math., J. Chin. Univ. 2, No. 1, 49-63 (1987). MSC: 65N55 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{K. Li}, Appl. Math., J. Chin. Univ. 2, No. 1, 49--63 (1987; Zbl 0756.65136)
Li, Kaitai; Mei, Zhen; Zhang, Chengdian The approximation of branch solution of the Navier-Stokes equations. (English) Zbl 0652.35009 Applied differential equations, Int. Workshop, Beijing/China 1985, 276-288 (1986). Reviewer: H.Jeggle MSC: 35B32 35Q30 65J15 65N30 35A35 76D05 PDFBibTeX XML
Cheng, Anping; Li, Kaitai The nodal expansion finite element method for second order elliptic equations. (Chinese. English summary) Zbl 0599.65071 J. Xi’an Jiaotong Univ. 19, No. 2, 41-54 (1985). MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{A. Cheng} and \textit{K. Li}, J. Xi'an Jiaotong Univ. 19, No. 2, 41--54 (1985; Zbl 0599.65071)
Li, Kaitai; Huang, Aixiang Optimal control finite element approximation of the Navier-Stokes equations. (Chinese. English summary) Zbl 0577.65108 J. Xi’an Jiaotong Univ. 18, No. 4, 1-16 (1984). Reviewer: F.H.Ling MSC: 65Z05 65N30 76D05 35Q30 PDFBibTeX XMLCite \textit{K. Li} and \textit{A. Huang}, J. Xi'an Jiaotong Univ. 18, No. 4, 1--16 (1984; Zbl 0577.65108)
Li, Kaitai; Huang, Aixiang; Ma, Yichen; Li, Du; Liu, Zhixing Optimal control finite element approximation for penalty variational formulation of three-dimensional Navier-Stokes problem. (English) Zbl 0524.76040 Int. J. Numer. Methods Eng. 20, 85-100 (1984). MSC: 76D05 76M99 65N30 49S05 PDFBibTeX XMLCite \textit{K. Li} et al., Int. J. Numer. Methods Eng. 20, 85--100 (1984; Zbl 0524.76040) Full Text: DOI
Li, Kai-Tai; Huang, Ai-Xiang Mathematical aspect of the stream-function equations of compressible turbomachinery flows and their finite element approximations using optimal control. (English) Zbl 0509.76071 Comput. Methods Appl. Mech. Eng. 41, 175-194 (1983). MSC: 76N10 76M99 65N30 49K15 65N15 PDFBibTeX XMLCite \textit{K.-T. Li} and \textit{A.-X. Huang}, Comput. Methods Appl. Mech. Eng. 41, 175--194 (1983; Zbl 0509.76071) Full Text: DOI
Li, Kaitai; Huang, Aixiang The variational principle of a quasilinear elliptic boundary value problem and its finite element analysis. (Chinese. English summary) Zbl 0538.65076 Math. Numer. Sin. 4, 233-243 (1982). MSC: 65N30 65N15 35J65 PDFBibTeX XMLCite \textit{K. Li} and \textit{A. Huang}, Math. Numer. Sin. 4, 233--243 (1982; Zbl 0538.65076)
Li, Kai-Tai; Huang, Ai-Xiang Solvability of the partial differential equation satisfied by the stream function in compressible flow and the error bound in the finite element solution. (English) Zbl 0509.76070 Finite element flow analysis, Proc. 4th int. Symp., Tokyo 1982, 387-394 (1982). MSC: 76N10 76G25 76M99 65N30 35D05 PDFBibTeX XML
Li, Kai-Tai; Huang, Ai-Xiang Generalized Reynolds’ equation and variational inequality in lubrication theory. (English) Zbl 0509.76042 Finite element flow analysis, Proc. 4th int. Symp., Tokyo 1982, 965-972 (1982). MSC: 76D99 76M99 49J40 65N30 PDFBibTeX XML
Huang, Ai-Xiang; Li, Kai-Tai The partial differential equation for the stream function on any stream surface of three dimensional flow in turbomachine and its finite element approximation. (English) Zbl 0509.76011 Finite element flow analysis, Proc. 4th int. Symp., Tokyo 1982, 767-774 (1982). MSC: 76B10 76U05 76M99 65N30 PDFBibTeX XML
Li, Kaitai; Huang, Aixiang; Ma, Yichen; Li, Du; Liu, Zhixing Optimal control finite element approximation for penalty variational formulation of the Navier-Stokes problem. (Chinese) Zbl 0492.76045 J. Xi’an Jiaotong Univ. 16, No. 1, 85-88 (1982). MSC: 76D05 76M99 65N30 PDFBibTeX XMLCite \textit{K. Li} et al., J. Xi'an Jiaotong Univ. 16, No. 1, 85--88 (1982; Zbl 0492.76045)