Mei, Liquan

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 Author ID: mei.liquan Published as: Mei, Liquan
 Documents Indexed: 114 Publications since 1998 Co-Authors: 82 Co-Authors with 104 Joint Publications 2,667 Co-Co-Authors
all top 5

Co-Authors

 3 single-authored 16 Guo, Shimin 12 Meng, Jian 11 Gao, Yali 10 Qiu, Hailong 7 Zhang, Yongchao 6 Jiang, Yu 5 Bu, Linlin 5 Qiu, Meilan 4 Chen, Yaping 4 Chen, Zhangxin 4 He, Yinnian 4 Huang, Aixiang 4 Wei, Huiming 4 Yang, Xiaofeng 3 Li, Jian 3 Li, Yibao 3 Song, Xinyu 3 Wu, Yanyun 3 Xie, Yingying 3 Zhang, Zhengqiang 2 Ge, Jiatai 2 Hou, Yan 2 Hou, Yanren 2 Li, Fei 2 Tian, Weijun 2 Xue, Changfeng 2 Yan, Wenjing 2 Yang, Ganshan 2 Zhang, Ming 2 Zhou, Yubin 1 Ali, Khalid Karam 1 An, Rong 1 Anh, Vo V. 1 Cartwright, Stephen 1 Chu, Yuchuan 1 Cui, Juan 1 Cui, Ning 1 Ding, Xuemei 1 Fang, Ye 1 Feng, Xinlong 1 Gao, Jinghuai 1 He, Guoliang 1 He, Xiaoming 1 He, Yaling 1 Jiang, Yutao 1 Karakoç, Seydi Battal Gazi 1 Li, Dewang 1 Li, Lingfei 1 Li, Xi 1 Li, Xiaoli 1 Li, Yingping 1 Li, Yueqiu 1 Liang, Dongyue 1 Lin, Yanping 1 Liu, Fawang 1 Qian, Yanxia 1 Qiu, Suizheng 1 Qiu, Zhiyu 1 Shang, Yueqiang 1 Shen, Peiping 1 Shi, Feng 1 Shi, Ruimin 1 Song, Yining 1 Su, Guanghui 1 Su, Jian 1 Sun, Anbang 1 Sun, Youfa 1 Thole, Clemens-August 1 Wang, Aiwen 1 Wang, Lingling 1 Wang, Lizhou 1 Wang, Wei 1 Wang, Xue 1 Willson, James K. 1 Yang, Ganshang 1 Yin, Daopeng 1 You, Bo 1 Yuan, George Xianzhi 1 Zhang, Hongxin 1 Zhang, Yamiao 1 Zhao, Ke 1 Zheng, Supei
all top 5

Serials

 15 Applied Mathematics and Computation 10 Computers & Mathematics with Applications 10 Applied Numerical Mathematics 6 Numerical Methods for Partial Differential Equations 5 Journal of Computational and Applied Mathematics 5 Applied Mathematics Letters 4 Physics Letters. A 3 Journal of Computational Physics 3 Journal of Scientific Computing 2 Applicable Analysis 2 Computer Physics Communications 2 Linear and Multilinear Algebra 2 Journal of Xi’an Jiaotong University 2 Journal of Computational Mathematics 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 SIAM Journal on Scientific Computing 2 Advances in Computational Mathematics 2 Journal of Inequalities and Applications 2 Advances in Difference Equations 2 Chinese Journal of Engineering Mathematics 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Calcolo 1 Numerical Mathematics 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of Engineering Mathematics (Xi’an) 1 Mathematica Applicata 1 Annals of Physics 1 Applied Mathematics. Series B (English Edition) 1 Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Journal of Combinatorial Optimization 1 Chinese Quarterly Journal of Mathematics 1 Journal of Henan Normal University. Natural Science 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Communications in Mathematical Sciences 1 International Journal of Computational Methods 1 Boundary Value Problems 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Mathematical Physics 1 International Journal of Numerical Analysis and Modeling. Series B
all top 5

Fields

 90 Numerical analysis (65-XX) 55 Partial differential equations (35-XX) 34 Fluid mechanics (76-XX) 13 Statistical mechanics, structure of matter (82-XX) 8 Real functions (26-XX) 8 Mechanics of deformable solids (74-XX) 7 Integral equations (45-XX) 6 Operator theory (47-XX) 5 Ordinary differential equations (34-XX) 4 Biology and other natural sciences (92-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Quantum theory (81-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations contained in zbMATH Open

85 Publications have been cited 751 times in 602 Documents Cited by Year
The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics. Zbl 1255.37022
Guo, Shimin; Mei, Liquan; Li, Ying; Sun, Youfa
2012
Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations. Zbl 1422.35169
Qiu, Meilan; Mei, Liquan; Yang, Ganshang
2017
Decoupled, linear, and energy stable finite element method for the Cahn-Hilliard-Navier-Stokes-Darcy phase field model. Zbl 1426.76261
Gao, Yali; He, Xiaoming; Mei, Liquan; Yang, Xiaofeng
2018
Stabilized finite element method for the stationary Navier-Stokes equations. Zbl 1069.76031
He, Yinnian; Wang, Aiwen; Mei, Liquan
2005
Newton iterative parallel finite element algorithm for the steady Navier-Stokes equations. Zbl 1203.76003
He, Yinnian; Mei, Liquan; Shang, Yueqiang; Cui, Juan
2010
An efficient algorithm for solving Troesch’s problem. Zbl 1122.65373
Feng, Xinlong; Mei, Liquan; He, Guoliang
2007
The fractional variational iteration method using He’s polynomials. Zbl 1241.35216
Guo, Shimin; Mei, Liquan
2011
Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation. Zbl 1420.82021
Li, Qi; Mei, Liquan; Yang, Xiaofeng; Li, Yibao
2019
Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time-space fractional reaction-diffusion equation. Zbl 1404.65089
Guo, Shimin; Mei, Liquan; Zhang, Zhengqiang; Jiang, Yutao
2018
Numerical solutions of RLW equation using Galerkin method with extrapolation techniques. Zbl 1305.65210
Mei, Liquan; Chen, Yaping
2012
An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation. Zbl 1402.65124
Guo, Shimin; Mei, Liquan; Li, Ying
2017
Explicit multistep method for the numerical solution of RLW equation. Zbl 1245.65119
Mei, Liquan; Chen, Yaping
2012
Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation. Zbl 1407.65230
Wang, Ying; Mei, Liquan; Li, Qi; Bu, Linlin
2019
A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition. Zbl 1119.65092
Li, Jian; Mei, Liquan; He, Yinnian
2006
Two-level defect-correction stabilized finite element method for Navier-Stokes equations with friction boundary conditions. Zbl 1309.76131
Qiu, Hailong; Mei, Liquan
2015
A second-order, uniquely solvable, energy stable BDF numerical scheme for the phase field crystal model. Zbl 06933817
Li, Qi; Mei, Liquan; You, Bo
2018
Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation. Zbl 1273.65157
Guo, Shimin; Mei, Liquan; Li, Ying
2013
Full discrete two-level correction scheme for Navier-Stokes equations. Zbl 1174.76009
Hou, Yanren; Mei, Liquan
2008
A two-level variational multiscale method for incompressible flows based on two local Gauss integrations. Zbl 1277.76019
Li, Ying; Mei, Liquan; Li, Yueqiu; Zhao, Ke
2013
The matrix domain and the spectra of a generalized difference operator. Zbl 06991320
Meng, Jian; Mei, Liquan
2019
A defect-correction stabilized finite element method for Navier-Stokes equations with friction boundary conditions. Zbl 1326.76066
Qiu, Hailong; Mei, Liquan; Liu, Hui; Cartwright, Stephen
2015
A linear, symmetric and energy-conservative scheme for the space-fractional Klein-Gordon-Schrödinger equations. Zbl 1478.65099
Wang, Ying; Li, Qi; Mei, Liquan
2019
Two-step algorithms for the stationary incompressible Navier-Stokes equations with friction boundary conditions. Zbl 06755529
Qiu, Hailong; An, Rong; Mei, Liquan; Xue, Changfeng
2017
Finite difference/Hermite-Galerkin spectral method for multi-dimensional time-fractional nonlinear reaction-diffusion equation in unbounded domains. Zbl 1464.65141
Guo, Shimin; Mei, Liquan; Zhang, Zhengqiang; Chen, Jie; He, Yuan; Li, Ying
2019
A new fractional time-stepping method for variable density incompressible flows. Zbl 1311.76068
Li, Ying; Mei, Liquan; Ge, Jiatai; Shi, Feng
2013
A second-order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system. Zbl 1446.65110
Gao, Yali; Li, Rui; Mei, Liquan; Lin, Yanping
2020
Pointwise estimates of the SDFEM for convection-diffusion problems with characteristic layers. Zbl 1255.65214
Zhang, Jin; Mei, Liquan; Chen, Yaping
2013
Mixed Galerkin finite element methods for modified regularized long wave equation. Zbl 1338.78022
Gao, Yali; Mei, Liquan
2015
Implicit-explicit multistep methods for general two-dimensional nonlinear Schrödinger equations. Zbl 1348.65142
Gao, Yali; Mei, Liquan
2016
A mixed-FEM for Navier-Stokes type variational inequality with nonlinear damping term. Zbl 1457.65212
Qiu, Hailong; Zhang, Yongchao; Mei, Liquan
2017
Stable second-order schemes for the space-fractional Cahn-Hilliard and Allen-Cahn equations. Zbl 1443.65238
Bu, Linlin; Mei, Liquan; Hou, Yan
2019
Numerical study using explicit multistep Galerkin finite element method for the MRLW equation. Zbl 1334.65158
Mei, Liquan; Gao, Yali; Chen, Zhangxin
2015
Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and saturation incidence. Zbl 1165.92034
Jiang, Yu; Wei, Huiming; Song, Xinyu; Mei, Liquan; Su, Guanghui; Qiu, Suizheng
2009
Compacton and solitary pattern solutions for nonlinear dispersive KdV-type equations involving Jumarie’s fractional derivative. Zbl 1255.35218
Guo, Shimin; Mei, Liquan; Fang, Ye; Qiu, Zhiyu
2012
Pointwise error estimates of the bilinear SDFEM on Shishkin meshes. Zbl 1264.65180
Zhang, Jin; Mei, Liquan
2013
A penalty-FEM for Navier-Stokes type variational inequality with nonlinear damping term. Zbl 1397.76076
Qiu, Hailong; Zhang, Yongchao; Mei, Liquan; Xue, Changfeng
2017
Generalized finite difference/spectral Galerkin approximations for the time-fractional telegraph equation. Zbl 1422.35179
Wang, Ying; Mei, Liquan
2017
Multi-level stabilized algorithms for the stationary incompressible Navier-Stokes equations with damping. Zbl 1419.65120
Qiu, Hailong; Mei, Liquan
2019
Time-fractional Schamel-KdV equation for dust-ion-acoustic waves in pair-ion plasma with trapped electrons and opposite polarity dust grains. Zbl 1364.35309
Guo, Shimin; Mei, Liquan; He, Yaling; Li, Yibao
2016
Efficient second-order unconditionally stable numerical schemes for the modified phase field crystal model with long-range interaction. Zbl 1466.65069
Li, Qi; Mei, Liquan; Li, Yibao
2021
Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh $$L^2$$ projection. Zbl 1234.65038
Li, Jian; Mei, Liquan; Chen, Zhangxin
2012
A linear virtual element method for the Kirchhoff plate buckling problem. Zbl 1447.65123
Meng, Jian; Mei, Liquan
2020
Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering. Zbl 1474.65447
Meng, Jian; Mei, Liquan
2020
Semi-implicit Hermite-Galerkin spectral method for distributed-order fractional-in-space nonlinear reaction-diffusion equations in multidimensional unbounded domains. Zbl 1452.65274
Guo, Shimin; Mei, Liquan; Li, Can; Zhang, Zhengqiang; Li, Ying
2020
Galerkin finite element methods for two-dimensional RLW and SRLW equations. Zbl 1433.65210
Gao, Yali; Mei, Liquan
2018
Numerical approximation of the two-component PFC models for binary colloidal crystals: efficient, decoupled, and second-order unconditionally energy stable schemes. Zbl 07389357
Li, Qi; Mei, Liquan
2021
A virtual element method for the Laplacian eigenvalue problem in mixed form. Zbl 1442.65388
Meng, Jian; Zhang, Yongchao; Mei, Liquan
2020
Two-grid variational multiscale algorithms for the stationary incompressible Navier-Stokes equations with friction boundary conditions. Zbl 1457.76058
Qiu, Hailong; Mei, Liquan; Zhang, Yongchao
2017
Energy stable numerical schemes for the fractional-in-space Cahn-Hilliard equation. Zbl 1452.65151
Bu, Linlin; Mei, Liquan; Wang, Ying; Hou, Yan
2020
Two-grid MFEAs for the incompressible Stokes type variational inequality with damping. Zbl 1443.65367
Qiu, Hailong; Mei, Liquan
2019
Mixed stabilized finite element methods based on backward difference/Adams-Bashforth scheme for the time-dependent variable density incompressible flows. Zbl 1443.65213
Li, Ying; Li, Jian; Mei, Liquan; Li, Yingping
2015
A stabilized finite element method for transient Navier-Stokes equations based on two local Gauss integrations. Zbl 1412.65145
Jiang, Yu; Mei, Liquan; Wei, Huiming
2012
Global analysis of a delayed epidemic dynamical system with pulse vaccination and nonlinear incidence rate. Zbl 1228.34102
Jiang, Yu; Mei, Liquan; Song, Xinyu
2011
A time-splitting Galerkin finite element method for the Davey-Stewartson equations. Zbl 1352.65342
Gao, Yali; Mei, Liquan; Li, Rui
2015
The extended Riccati equation mapping method for variable-coefficient diffusion-reaction and mKdV equations. Zbl 1210.35210
Guo, Shimin; Mei, Liquan; Zhou, Yubin; Li, Chao
2011
A finite element variational multiscale method based on two local Gauss integrations for stationary conduction-convection problems. Zbl 1264.76062
Jiang, Yu; Mei, Liquan; Wei, Huiming; Tian, Weijun; Ge, Jiatai
2012
Nonlinear ion-acoustic structures in a nonextensive electron-positron-ion-dust plasma: modulational instability and rogue waves. Zbl 1342.82134
Guo, Shimin; Mei, Liquan; Sun, Anbang
2013
Discontinuous Galerkin methods for the Stokes equations with nonlinear damping term on general meshes. Zbl 1437.65206
Zhang, Yongchao; Qian, Yanxia; Mei, Liquan
2020
Highly efficient and linear numerical schemes with unconditional energy stability for the anisotropic phase-field crystal model. Zbl 1452.65165
Li, Qi; Li, Xi; Yang, Xiaofeng; Mei, Liquan
2021
A mixed virtual element method for the vibration problem of clamped Kirchhoff plate. Zbl 1467.65112
Meng, Jian; Mei, Liquan
2020
The compound $$\left(\frac{G'}{G}\right)$$-expansion method and double non-traveling wave solutions of $$(2+1)$$-dimensional nonlinear partial differential equations. Zbl 1443.35125
Guo, Shimin; Mei, Liquan; Zhou, Yubin
2015
A non-conforming finite volume element method for the two-dimensional Navier-Stokes/Darcy system. Zbl 1395.65122
Wu, Yanyun; Mei, Liquan
2018
Existence of weak solutions for nonlinear time-fractional $$p$$-Laplace problems. Zbl 1437.35314
Qiu, Meilan; Mei, Liquan
2014
Galerkin finite element methods for the generalized Klein-Gordon-Zakharov equations. Zbl 1397.65186
Gao, Yali; Mei, Liquan; Li, Rui
2017
A Galerkin finite element method for numerical solutions of the modified regularized long wave equation. Zbl 1470.74063
Mei, Liquan; Gao, Yali; Chen, Zhangxin
2014
Efficient numerical scheme for the anisotropic modified phase-field crystal model with a strong nonlinear vacancy potential. Zbl 1475.65074
Li, Qi; Yang, Xiaofeng; Mei, Liquan
2021
A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions. Zbl 1471.65166
Wang, Ying; Liu, Fawang; Mei, Liquan; Anh, Vo V.
2021
Iterative penalty methods for the steady Navier-Stokes equations. Zbl 1334.76084
Qiu, Hailong; Mei, Liquan; Zhang, Yamiao
2014
Local momentum-preserving algorithms for the GRLW equation. Zbl 1427.65171
Li, Qi; Mei, Liquan
2018
Fully discrete local discontinuous Galerkin approximation for time-space fractional subdiffusion/superdiffusion equations. Zbl 1404.65179
Qiu, Meilan; Mei, Liquan; Li, Dewang
2017
Positive solutions for $$P$$-Laplace problems with nonlinear time-fractional differential equation. Zbl 1372.35216
Qiu, Meilan; Mei, Liquan; Yang, Ganshan; Yuan, George Xianzhi
2014
A $$C^0$$ virtual element method for the biharmonic eigenvalue problem. Zbl 1480.65324
Meng, Jian; Mei, Liquan
2021
A lowest-order free-stabilization virtual element method for the Laplacian eigenvalue problem. Zbl 1490.65255
Meng, Jian; Wang, Xue; Bu, Linlin; Mei, Liquan
2022
A lowest-order virtual element method for the Helmholtz transmission eigenvalue problem. Zbl 1476.65287
Meng, Jian; Wang, Gang; Mei, Liquan
2021
A conservative spectral Galerkin method for the coupled nonlinear space-fractional Schrödinger equations. Zbl 07474779
Wang, Ying; Mei, Liquan
2019
A stabilized finite volume element method for stationary Stokes-Darcy equations using the lowest order. Zbl 07336585
Wu, Yanyun; Mei, Liquan; Qiu, Meilan; Chu, Yuchuan
2020
Multiple-order rogue waves for the generalized $$( 2 + 1)$$-dimensional Kadomtsev-Petviashvili equation. Zbl 1473.37090
Li, Lingfei; Xie, Yingying; Mei, Liquan
2021
Two second-order and linear numerical schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation. Zbl 07384507
Wang, Ying; Wang, Gang; Bu, Linlin; Mei, Liquan
2021
Local Fourier analysis of multigrid for anisotropic elliptic equations. Zbl 1126.65103
Mei, Liquan; Zhang, Ming
2006
Multigrid algorithms for solving multigroup neutron transport equations. Zbl 1102.65140
Mei, Liquan
2006
The optimal order convergence for the lowest order mixed finite element method of the biharmonic eigenvalue problem. Zbl 1481.65217
Meng, Jian; Mei, Liquan
2022
A spectral streamline diffusion finite element coupling method of unsteady transport equation in the field of neutron logging. Zbl 0972.82081
Mei, Liquan
1999
Analysis of an impulsive epidemic model with time delays and nonlinear incidence rates. Zbl 1270.92033
Jiang, Yu; Mei, Liquan; Song, Xinyu; Tian, Weijun; Ding, Xuemei
2012
Global finite element nonlinear Galerkin method for the penalized Navier-Stokes equations. Zbl 1056.76046
He, Yinnian; Hou, Yanren; Mei, Liquan
2001
A generalized fractional difference operator and its applications. Zbl 1466.46003
Meng, Jian; Mei, Liquan
2020
A lowest-order free-stabilization virtual element method for the Laplacian eigenvalue problem. Zbl 1490.65255
Meng, Jian; Wang, Xue; Bu, Linlin; Mei, Liquan
2022
The optimal order convergence for the lowest order mixed finite element method of the biharmonic eigenvalue problem. Zbl 1481.65217
Meng, Jian; Mei, Liquan
2022
Efficient second-order unconditionally stable numerical schemes for the modified phase field crystal model with long-range interaction. Zbl 1466.65069
Li, Qi; Mei, Liquan; Li, Yibao
2021
Numerical approximation of the two-component PFC models for binary colloidal crystals: efficient, decoupled, and second-order unconditionally energy stable schemes. Zbl 07389357
Li, Qi; Mei, Liquan
2021
Highly efficient and linear numerical schemes with unconditional energy stability for the anisotropic phase-field crystal model. Zbl 1452.65165
Li, Qi; Li, Xi; Yang, Xiaofeng; Mei, Liquan
2021
Efficient numerical scheme for the anisotropic modified phase-field crystal model with a strong nonlinear vacancy potential. Zbl 1475.65074
Li, Qi; Yang, Xiaofeng; Mei, Liquan
2021
A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions. Zbl 1471.65166
Wang, Ying; Liu, Fawang; Mei, Liquan; Anh, Vo V.
2021
A $$C^0$$ virtual element method for the biharmonic eigenvalue problem. Zbl 1480.65324
Meng, Jian; Mei, Liquan
2021
A lowest-order virtual element method for the Helmholtz transmission eigenvalue problem. Zbl 1476.65287
Meng, Jian; Wang, Gang; Mei, Liquan
2021
Multiple-order rogue waves for the generalized $$( 2 + 1)$$-dimensional Kadomtsev-Petviashvili equation. Zbl 1473.37090
Li, Lingfei; Xie, Yingying; Mei, Liquan
2021
Two second-order and linear numerical schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation. Zbl 07384507
Wang, Ying; Wang, Gang; Bu, Linlin; Mei, Liquan
2021
A second-order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system. Zbl 1446.65110
Gao, Yali; Li, Rui; Mei, Liquan; Lin, Yanping
2020
A linear virtual element method for the Kirchhoff plate buckling problem. Zbl 1447.65123
Meng, Jian; Mei, Liquan
2020
Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering. Zbl 1474.65447
Meng, Jian; Mei, Liquan
2020
Semi-implicit Hermite-Galerkin spectral method for distributed-order fractional-in-space nonlinear reaction-diffusion equations in multidimensional unbounded domains. Zbl 1452.65274
Guo, Shimin; Mei, Liquan; Li, Can; Zhang, Zhengqiang; Li, Ying
2020
A virtual element method for the Laplacian eigenvalue problem in mixed form. Zbl 1442.65388
Meng, Jian; Zhang, Yongchao; Mei, Liquan
2020
Energy stable numerical schemes for the fractional-in-space Cahn-Hilliard equation. Zbl 1452.65151
Bu, Linlin; Mei, Liquan; Wang, Ying; Hou, Yan
2020
Discontinuous Galerkin methods for the Stokes equations with nonlinear damping term on general meshes. Zbl 1437.65206
Zhang, Yongchao; Qian, Yanxia; Mei, Liquan
2020
A mixed virtual element method for the vibration problem of clamped Kirchhoff plate. Zbl 1467.65112
Meng, Jian; Mei, Liquan
2020
A stabilized finite volume element method for stationary Stokes-Darcy equations using the lowest order. Zbl 07336585
Wu, Yanyun; Mei, Liquan; Qiu, Meilan; Chu, Yuchuan
2020
A generalized fractional difference operator and its applications. Zbl 1466.46003
Meng, Jian; Mei, Liquan
2020
Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation. Zbl 1420.82021
Li, Qi; Mei, Liquan; Yang, Xiaofeng; Li, Yibao
2019
Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation. Zbl 1407.65230
Wang, Ying; Mei, Liquan; Li, Qi; Bu, Linlin
2019
The matrix domain and the spectra of a generalized difference operator. Zbl 06991320
Meng, Jian; Mei, Liquan
2019
A linear, symmetric and energy-conservative scheme for the space-fractional Klein-Gordon-Schrödinger equations. Zbl 1478.65099
Wang, Ying; Li, Qi; Mei, Liquan
2019
Finite difference/Hermite-Galerkin spectral method for multi-dimensional time-fractional nonlinear reaction-diffusion equation in unbounded domains. Zbl 1464.65141
Guo, Shimin; Mei, Liquan; Zhang, Zhengqiang; Chen, Jie; He, Yuan; Li, Ying
2019
Stable second-order schemes for the space-fractional Cahn-Hilliard and Allen-Cahn equations. Zbl 1443.65238
Bu, Linlin; Mei, Liquan; Hou, Yan
2019
Multi-level stabilized algorithms for the stationary incompressible Navier-Stokes equations with damping. Zbl 1419.65120
Qiu, Hailong; Mei, Liquan
2019
Two-grid MFEAs for the incompressible Stokes type variational inequality with damping. Zbl 1443.65367
Qiu, Hailong; Mei, Liquan
2019
A conservative spectral Galerkin method for the coupled nonlinear space-fractional Schrödinger equations. Zbl 07474779
Wang, Ying; Mei, Liquan
2019
Decoupled, linear, and energy stable finite element method for the Cahn-Hilliard-Navier-Stokes-Darcy phase field model. Zbl 1426.76261
Gao, Yali; He, Xiaoming; Mei, Liquan; Yang, Xiaofeng
2018
Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time-space fractional reaction-diffusion equation. Zbl 1404.65089
Guo, Shimin; Mei, Liquan; Zhang, Zhengqiang; Jiang, Yutao
2018
A second-order, uniquely solvable, energy stable BDF numerical scheme for the phase field crystal model. Zbl 06933817
Li, Qi; Mei, Liquan; You, Bo
2018
Galerkin finite element methods for two-dimensional RLW and SRLW equations. Zbl 1433.65210
Gao, Yali; Mei, Liquan
2018
A non-conforming finite volume element method for the two-dimensional Navier-Stokes/Darcy system. Zbl 1395.65122
Wu, Yanyun; Mei, Liquan
2018
Local momentum-preserving algorithms for the GRLW equation. Zbl 1427.65171
Li, Qi; Mei, Liquan
2018
Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations. Zbl 1422.35169
Qiu, Meilan; Mei, Liquan; Yang, Ganshang
2017
An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation. Zbl 1402.65124
Guo, Shimin; Mei, Liquan; Li, Ying
2017
Two-step algorithms for the stationary incompressible Navier-Stokes equations with friction boundary conditions. Zbl 06755529
Qiu, Hailong; An, Rong; Mei, Liquan; Xue, Changfeng
2017
A mixed-FEM for Navier-Stokes type variational inequality with nonlinear damping term. Zbl 1457.65212
Qiu, Hailong; Zhang, Yongchao; Mei, Liquan
2017
A penalty-FEM for Navier-Stokes type variational inequality with nonlinear damping term. Zbl 1397.76076
Qiu, Hailong; Zhang, Yongchao; Mei, Liquan; Xue, Changfeng
2017
Generalized finite difference/spectral Galerkin approximations for the time-fractional telegraph equation. Zbl 1422.35179
Wang, Ying; Mei, Liquan
2017
Two-grid variational multiscale algorithms for the stationary incompressible Navier-Stokes equations with friction boundary conditions. Zbl 1457.76058
Qiu, Hailong; Mei, Liquan; Zhang, Yongchao
2017
Galerkin finite element methods for the generalized Klein-Gordon-Zakharov equations. Zbl 1397.65186
Gao, Yali; Mei, Liquan; Li, Rui
2017
Fully discrete local discontinuous Galerkin approximation for time-space fractional subdiffusion/superdiffusion equations. Zbl 1404.65179
Qiu, Meilan; Mei, Liquan; Li, Dewang
2017
Implicit-explicit multistep methods for general two-dimensional nonlinear Schrödinger equations. Zbl 1348.65142
Gao, Yali; Mei, Liquan
2016
Time-fractional Schamel-KdV equation for dust-ion-acoustic waves in pair-ion plasma with trapped electrons and opposite polarity dust grains. Zbl 1364.35309
Guo, Shimin; Mei, Liquan; He, Yaling; Li, Yibao
2016
Two-level defect-correction stabilized finite element method for Navier-Stokes equations with friction boundary conditions. Zbl 1309.76131
Qiu, Hailong; Mei, Liquan
2015
A defect-correction stabilized finite element method for Navier-Stokes equations with friction boundary conditions. Zbl 1326.76066
Qiu, Hailong; Mei, Liquan; Liu, Hui; Cartwright, Stephen
2015
Mixed Galerkin finite element methods for modified regularized long wave equation. Zbl 1338.78022
Gao, Yali; Mei, Liquan
2015
Numerical study using explicit multistep Galerkin finite element method for the MRLW equation. Zbl 1334.65158
Mei, Liquan; Gao, Yali; Chen, Zhangxin
2015
Mixed stabilized finite element methods based on backward difference/Adams-Bashforth scheme for the time-dependent variable density incompressible flows. Zbl 1443.65213
Li, Ying; Li, Jian; Mei, Liquan; Li, Yingping
2015
A time-splitting Galerkin finite element method for the Davey-Stewartson equations. Zbl 1352.65342
Gao, Yali; Mei, Liquan; Li, Rui
2015
The compound $$\left(\frac{G'}{G}\right)$$-expansion method and double non-traveling wave solutions of $$(2+1)$$-dimensional nonlinear partial differential equations. Zbl 1443.35125
Guo, Shimin; Mei, Liquan; Zhou, Yubin
2015
Existence of weak solutions for nonlinear time-fractional $$p$$-Laplace problems. Zbl 1437.35314
Qiu, Meilan; Mei, Liquan
2014
A Galerkin finite element method for numerical solutions of the modified regularized long wave equation. Zbl 1470.74063
Mei, Liquan; Gao, Yali; Chen, Zhangxin
2014
Iterative penalty methods for the steady Navier-Stokes equations. Zbl 1334.76084
Qiu, Hailong; Mei, Liquan; Zhang, Yamiao
2014
Positive solutions for $$P$$-Laplace problems with nonlinear time-fractional differential equation. Zbl 1372.35216
Qiu, Meilan; Mei, Liquan; Yang, Ganshan; Yuan, George Xianzhi
2014
Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation. Zbl 1273.65157
Guo, Shimin; Mei, Liquan; Li, Ying
2013
A two-level variational multiscale method for incompressible flows based on two local Gauss integrations. Zbl 1277.76019
Li, Ying; Mei, Liquan; Li, Yueqiu; Zhao, Ke
2013
A new fractional time-stepping method for variable density incompressible flows. Zbl 1311.76068
Li, Ying; Mei, Liquan; Ge, Jiatai; Shi, Feng
2013
Pointwise estimates of the SDFEM for convection-diffusion problems with characteristic layers. Zbl 1255.65214
Zhang, Jin; Mei, Liquan; Chen, Yaping
2013
Pointwise error estimates of the bilinear SDFEM on Shishkin meshes. Zbl 1264.65180
Zhang, Jin; Mei, Liquan
2013
Nonlinear ion-acoustic structures in a nonextensive electron-positron-ion-dust plasma: modulational instability and rogue waves. Zbl 1342.82134
Guo, Shimin; Mei, Liquan; Sun, Anbang
2013
The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics. Zbl 1255.37022
Guo, Shimin; Mei, Liquan; Li, Ying; Sun, Youfa
2012
Numerical solutions of RLW equation using Galerkin method with extrapolation techniques. Zbl 1305.65210
Mei, Liquan; Chen, Yaping
2012
Explicit multistep method for the numerical solution of RLW equation. Zbl 1245.65119
Mei, Liquan; Chen, Yaping
2012
Compacton and solitary pattern solutions for nonlinear dispersive KdV-type equations involving Jumarie’s fractional derivative. Zbl 1255.35218
Guo, Shimin; Mei, Liquan; Fang, Ye; Qiu, Zhiyu
2012
Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh $$L^2$$ projection. Zbl 1234.65038
Li, Jian; Mei, Liquan; Chen, Zhangxin
2012
A stabilized finite element method for transient Navier-Stokes equations based on two local Gauss integrations. Zbl 1412.65145
Jiang, Yu; Mei, Liquan; Wei, Huiming
2012
A finite element variational multiscale method based on two local Gauss integrations for stationary conduction-convection problems. Zbl 1264.76062
Jiang, Yu; Mei, Liquan; Wei, Huiming; Tian, Weijun; Ge, Jiatai
2012
Analysis of an impulsive epidemic model with time delays and nonlinear incidence rates. Zbl 1270.92033
Jiang, Yu; Mei, Liquan; Song, Xinyu; Tian, Weijun; Ding, Xuemei
2012
The fractional variational iteration method using He’s polynomials. Zbl 1241.35216
Guo, Shimin; Mei, Liquan
2011
Global analysis of a delayed epidemic dynamical system with pulse vaccination and nonlinear incidence rate. Zbl 1228.34102
Jiang, Yu; Mei, Liquan; Song, Xinyu
2011
The extended Riccati equation mapping method for variable-coefficient diffusion-reaction and mKdV equations. Zbl 1210.35210
Guo, Shimin; Mei, Liquan; Zhou, Yubin; Li, Chao
2011
Newton iterative parallel finite element algorithm for the steady Navier-Stokes equations. Zbl 1203.76003
He, Yinnian; Mei, Liquan; Shang, Yueqiang; Cui, Juan
2010
Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and saturation incidence. Zbl 1165.92034
Jiang, Yu; Wei, Huiming; Song, Xinyu; Mei, Liquan; Su, Guanghui; Qiu, Suizheng
2009
Full discrete two-level correction scheme for Navier-Stokes equations. Zbl 1174.76009
Hou, Yanren; Mei, Liquan
2008
An efficient algorithm for solving Troesch’s problem. Zbl 1122.65373
Feng, Xinlong; Mei, Liquan; He, Guoliang
2007
A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition. Zbl 1119.65092
Li, Jian; Mei, Liquan; He, Yinnian
2006
Local Fourier analysis of multigrid for anisotropic elliptic equations. Zbl 1126.65103
Mei, Liquan; Zhang, Ming
2006
Multigrid algorithms for solving multigroup neutron transport equations. Zbl 1102.65140
Mei, Liquan
2006
Stabilized finite element method for the stationary Navier-Stokes equations. Zbl 1069.76031
He, Yinnian; Wang, Aiwen; Mei, Liquan
2005
Global finite element nonlinear Galerkin method for the penalized Navier-Stokes equations. Zbl 1056.76046
He, Yinnian; Hou, Yanren; Mei, Liquan
2001
A spectral streamline diffusion finite element coupling method of unsteady transport equation in the field of neutron logging. Zbl 0972.82081
Mei, Liquan
1999
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Cited by 910 Authors

 38 Mei, Liquan 35 He, Yinnian 27 Shang, Yueqiang 25 Yang, Xiaofeng 19 Li, Jian 17 He, Xiaoming 15 Feng, Xinlong 14 Huang, Pengzhan 10 Chen, Zhangxin 10 Gao, Yali 10 Kim, Junseok 9 Chen, Chuanjun 8 An, Rong 8 Hou, Yanren 8 Liu, Xiaowei 8 Qiu, Hailong 8 Yang, Junxiang 8 Zhang, Jin 7 Guo, Shimin 7 Li, Yuan 7 Shi, Dongyang 7 Zheng, Haibiao 6 Băleanu, Dumitru I. 6 Li, Hong 6 Li, Xiaoli 6 Liu, Yang 6 Zheng, Bin 5 Chu, Yuming 5 Feng, Qinghua 5 Huang, Yunqing 5 Jiang, Xiaoyun 5 Liu, Zhengguang 5 Qin, Jin 5 Rashid, Saima 5 Wang, Yushun 5 Yang, Yidu 4 Abdel-Salam, Emad A-B. 4 Bi, Hai 4 Dehghan Takht Fooladi, Mehdi 4 Du, Guangzhi 4 Fei, Mingfa 4 Feng, Minfu 4 Hu, Dongdong 4 Huang, Chengming 4 Inc, Mustafa 4 Jia, Hongen 4 Li, Yibao 4 Machado, José António Tenreiro 4 Meng, Jian 4 Nguyen Huy Tuan 4 Noor, Muhammad Aslam 4 Qiu, Changxin 4 Shi, Feng 4 Tang, Bo 4 Tang, Qili 4 Wang, Jinfeng 4 Yin, Baoli 4 Yousif, Eltayeb A. 4 Zaky, Mahmoud A. 4 Zhang, Guodong 4 Zhang, Xindong 4 Zhang, Yongchao 4 Zhao, Jia 4 Zhao, Xin 3 Aliyu, Aliyu Isa 3 Bekir, Ahmet 3 Borges, Ernesto P. 3 Bu, Linlin 3 Cai, Wenjun 3 Dai, Weizhong 3 Ge, Zhihao 3 Gomez, Ignacio S. 3 Gong, Yuezheng 3 He, Guoliang 3 He, Yinghui 3 Hendy, Ahmed S. 3 Huang, Qiumei 3 Jia, Junqing 3 Lee, Hyun Geun 3 Lepe, Felipe 3 Li, Dongfang 3 Li, Kaitai 3 Li, Meng 3 Li, Minghao 3 Li, Zhenzhen 3 Liu, Fawang 3 Lu, Xiaoli 3 Meng, Fanwei 3 Mirzazadeh, Mohammad 3 Momani, Shaher M. 3 Mursaleen, Mohammad 3 Qiu, Meilan 3 Rivera, Gonzalo 3 Sun, Haiwei 3 Temimi, Helmi 3 Vázquez-Leal, Héctor 3 Velásquez, Iván G. 3 Wang, Danxia 3 Wang, Gangwei 3 Wang, Kun ...and 810 more Authors
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Cited in 130 Serials

 43 Applied Numerical Mathematics 37 Applied Mathematics and Computation 34 Computers & Mathematics with Applications 27 Journal of Scientific Computing 26 Journal of Computational and Applied Mathematics 23 AIMS Mathematics 18 Advances in Difference Equations 16 Computer Methods in Applied Mechanics and Engineering 16 Mathematical Problems in Engineering 16 Abstract and Applied Analysis 15 Journal of Computational Physics 14 Advances in Computational Mathematics 11 Numerical Methods for Partial Differential Equations 11 Numerical Algorithms 10 Applied Mathematics Letters 9 Applied Mathematical Modelling 9 Computational and Applied Mathematics 8 Mathematical Methods in the Applied Sciences 8 International Journal of Computer Mathematics 7 Applicable Analysis 7 Mathematics and Computers in Simulation 7 Journal of Applied Mathematics 7 Advances in Applied Mathematics and Mechanics 6 Journal of Mathematical Analysis and Applications 6 Calcolo 6 Journal of Applied Analysis and Computation 5 Chaos, Solitons and Fractals 5 SIAM Journal on Scientific Computing 5 International Journal of Numerical Methods for Heat & Fluid Flow 5 Communications in Nonlinear Science and Numerical Simulation 5 International Journal of Computational Methods 5 Boundary Value Problems 5 Advances in Mathematical Physics 5 Journal of Function Spaces 4 Physica A 4 Lobachevskii Journal of Mathematics 4 Waves in Random and Complex Media 4 International Journal of Applied and Computational Mathematics 3 Applied Mathematics and Optimization 3 BIT 3 Computing 3 Computational Mechanics 3 Mathematical and Computer Modelling 3 Complexity 3 Engineering Analysis with Boundary Elements 3 Nonlinear Dynamics 3 Chaos 3 Discrete Dynamics in Nature and Society 3 Nonlinear Analysis. Modelling and Control 3 Discrete and Continuous Dynamical Systems. Series B 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Mathematical Modelling of Natural Phenomena 3 Discrete and Continuous Dynamical Systems. Series S 3 East Asian Journal on Applied Mathematics 2 Computers and Fluids 2 Journal of Engineering Mathematics 2 Linear and Multilinear Algebra 2 Nonlinearity 2 Applied Mathematics and Mechanics. (English Edition) 2 Turkish Journal of Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Difference Equations and Applications 2 Journal of Inequalities and Applications 2 Journal of Mathematical Fluid Mechanics 2 Journal of Evolution Equations 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 International Journal of Numerical Analysis and Modeling 2 Mathematical Biosciences and Engineering 2 Communications in Computational Physics 2 Mathematical Sciences 2 Evolution Equations and Control Theory 2 Research in the Mathematical Sciences 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Letters in Mathematical Physics 1 Reports on Mathematical Physics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Fuzzy Sets and Systems 1 Information Sciences 1 Journal of the Korean Mathematical Society 1 Mathematica Slovaca 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Machine Learning 1 The Journal of Geometric Analysis 1 Applications of Mathematics 1 Tatra Mountains Mathematical Publications 1 Fractals 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Mathematical Chemistry 1 The Ramanujan Journal ...and 30 more Serials
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Cited in 37 Fields

 392 Numerical analysis (65-XX) 312 Partial differential equations (35-XX) 177 Fluid mechanics (76-XX) 60 Ordinary differential equations (34-XX) 45 Real functions (26-XX) 30 Mechanics of deformable solids (74-XX) 27 Statistical mechanics, structure of matter (82-XX) 21 Biology and other natural sciences (92-XX) 11 Operator theory (47-XX) 11 Optics, electromagnetic theory (78-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Systems theory; control (93-XX) 8 Computer science (68-XX) 7 Difference and functional equations (39-XX) 7 Functional analysis (46-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Quantum theory (81-XX) 6 Integral equations (45-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Potential theory (31-XX) 3 Special functions (33-XX) 3 Sequences, series, summability (40-XX) 3 Probability theory and stochastic processes (60-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)