Liquan Mei

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 53

Top Topics

Numerical Scheme

Boundary Conditions

Top Venues

Comput. Math. Appl.

Appl. Math. Comput.

Appl. Math. Lett.

J. Comput. Appl. Math.

Publications

Chunlong Hai, Jiazhen Wang, Liquan Mei
A Surrogate-Assisted Clustering-Based Evolutionary Algorithm for Expensive Optimization. CEC (2024)
Shimin Guo, Liquan Mei, Yao-Lin Jiang
An efficient Hermite-Galerkin spectral scheme for three-dimensional incompressible Hall-magnetohydrodynamic system on infinite domain. J. Comput. Phys. 498 (2024)
Linlin Bu, Rui Li, Liquan Mei, Ying Wang
On high-order schemes for the space-fractional conservative Allen-Cahn equations with local and local-nonlocal operators. Commun. Nonlinear Sci. Numer. Simul. 138 (2024)
Jian Meng, Liquan Mei, Mingfa Fei
H1-conforming virtual element method for the Laplacian eigenvalue problem in mixed form. J. Comput. Appl. Math. 436 (2024)
Daopeng Yin, Liquan Mei
Asymptotically Compatible Fractional Grönwall Inequality and its Applications. CoRR (2024)
Linlin Bu, Rui Li, Liquan Mei, Ying Wang
A new space-fractional modified phase field crystal equation and its numerical algorithm. Appl. Math. Lett. 158 (2024)
Yingying Xie, Qi Li, Liquan Mei
An Unconditionally Energy Stable Method for the Anisotropic Phase-Field Crystal Model in Two Dimension. J. Sci. Comput. 100 (1) (2024)
Yingying Xie, Qi Li, Liquan Mei
A new Lagrange multiplier method for the mass-conserved Allen-Cahn type square phase-field crystal model. Appl. Math. Lett. 141 (2023)
Yongchao Zhang, Liquan Mei, Gang Wang
A Posteriori Error Analysis of the Hybrid High-Order Method for the Stokes Problem. J. Sci. Comput. 96 (3) (2023)
Linlin Bu, Jianhua Wu, Liquan Mei, Ying Wang
Second-order linear adaptive time-stepping schemes for the fractional Allen-Cahn equation. Comput. Math. Appl. 145 (2023)
Daopeng Yin, Yingying Xie, Liquan Mei
The stability and convergence analysis of finite difference methods for the fractional neutron diffusion equation. Adv. Comput. Math. 49 (5) (2023)
Qi Li, Supei Zheng, Liquan Mei
Three decoupled, second-order accurate, and energy stable schemes for the conserved Allen-Cahn-type block copolymer (BCP) model. Numer. Algorithms 92 (2) (2023)
Shimin Guo, Liquan Mei, Wenjing Yan, Ying Li
Mass-, Energy-, and Momentum-Preserving Spectral Scheme for Klein-Gordon-Schrödinger System on Infinite Domains. SIAM J. Sci. Comput. 45 (2) (2023)
Jian Meng, Xue Wang, Linlin Bu, Liquan Mei
A lowest-order free-stabilization Virtual Element Method for the Laplacian eigenvalue problem. J. Comput. Appl. Math. 410 (2022)
Shimin Guo, Wenjing Yan, Can Li, Liquan Mei
Dissipation-Preserving Rational Spectral-Galerkin Method for Strongly Damped Nonlinear Wave System Involving Mixed Fractional Laplacians in Unbounded Domains. J. Sci. Comput. 93 (2) (2022)
Shimin Guo, Can Li, Xiaoli Li, Liquan Mei
Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains. J. Comput. Phys. 458 (2022)
Yingying Xie, Daopeng Yin, Liquan Mei
Finite difference scheme on graded meshes to the time-fractional neutron diffusion equation with non-smooth solutions. Appl. Math. Comput. 435 (2022)
Jian Meng, Liquan Mei
The optimal order convergence for the lowest order mixed finite element method of the biharmonic eigenvalue problem. J. Comput. Appl. Math. 402 (2022)
Qi Li, Ning Cui, Supei Zheng, Liquan Mei
A new Allen-Cahn type two-model phase-field crystal model for fcc ordering and its numerical approximation. Appl. Math. Lett. 132 (2022)
Ying Wang, Fawang Liu, Liquan Mei, Vo V. Anh
A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions. Numer. Algorithms 86 (4) (2021)
Lingfei Li, Yingying Xie, Liquan Mei
Multiple-order rogue waves for the generalized (2+1)-dimensional Kadomtsev-Petviashvili equation. Appl. Math. Lett. 117 (2021)
Yali Gao, Liquan Mei
Time-splitting Galerkin method for spin-orbit-coupled Bose-Einstein condensates. Comput. Math. Appl. 87 (2021)
Yongchao Zhang, Liquan Mei, Gang Wang
A posteriori error analysis of hybrid high-order method for the Stokes problem. CoRR (2021)
Qi Li, Liquan Mei
Efficient, decoupled, and second-order unconditionally energy stable numerical schemes for the coupled Cahn-Hilliard system in copolymer/homopolymer mixtures. Comput. Phys. Commun. 260 (2021)
Qi Li, Liquan Mei, Yibao Li
Efficient second-order unconditionally stable numerical schemes for the modified phase field crystal model with long-range interaction. J. Comput. Appl. Math. 389 (2021)
Qi Li, Xi Li, Xiaofeng Yang, Liquan Mei
Highly efficient and linear numerical schemes with unconditional energy stability for the anisotropic phase-field crystal model. J. Comput. Appl. Math. 383 (2021)
Shimin Guo, Liquan Mei, Can Li, Wenjing Yan, Jinghuai Gao
IMEX Hermite-Galerkin Spectral Schemes with Adaptive Time Stepping for the Coupled Nonlocal Gordon-Type Systems in Multiple Dimensions. SIAM J. Sci. Comput. 43 (6) (2021)
Ying Wang, Gang Wang, Linlin Bu, Liquan Mei
Two second-order and linear numerical schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation. Numer. Algorithms 88 (1) (2021)
Shimin Guo, Yaping Chen, Liquan Mei, Yining Song
Finite difference/generalized Hermite spectral method for the distributed-order time-fractional reaction-diffusion equation on multi-dimensional unbounded domains. Comput. Math. Appl. 93 (2021)
Jian Meng, Liquan Mei
A C0 virtual element method for the biharmonic eigenvalue problem. Int. J. Comput. Math. 98 (9) (2021)
Qi Li, Liquan Mei
Numerical Approximation of the Two-Component PFC Models for Binary Colloidal Crystals: Efficient, Decoupled, and Second-Order Unconditionally Energy Stable Schemes. J. Sci. Comput. 88 (3) (2021)
Jian Meng, Liquan Mei
A linear virtual element method for the Kirchhoff plate buckling problem. Appl. Math. Lett. 103 (2020)
Jian Meng, Liquan Mei
Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering. Appl. Math. Comput. 381 (2020)
Shimin Guo, Liquan Mei, Can Li, Zhengqiang Zhang, Ying Li
Semi-implicit Hermite-Galerkin Spectral Method for Distributed-Order Fractional-in-Space Nonlinear Reaction-Diffusion Equations in Multidimensional Unbounded Domains. J. Sci. Comput. 85 (1) (2020)
Jian Meng, Liquan Mei
A mixed virtual element method for the vibration problem of clamped Kirchhoff plate. Adv. Comput. Math. 46 (5) (2020)
Shimin Guo, Liquan Mei, Zhengqiang Zhang, Can Li, Mingjun Li, Ying Wang
A linearized finite difference/spectral-Galerkin scheme for three-dimensional distributed-order time-space fractional nonlinear reaction-diffusion-wave equation: Numerical simulations of Gordon-type solitons. Comput. Phys. Commun. 252 (2020)
Yongchao Zhang, Liquan Mei
A hybrid high-order method for a class of quasi-Newtonian Stokes equations on general meshes. Appl. Math. Comput. 366 (2020)
Yongchao Zhang, Liquan Mei, Rui Li
A hybrid high-order method for a coupled Stokes-Darcy problem on general meshes. J. Comput. Phys. 403 (2020)
Yongchao Zhang, Yanxia Qian, Liquan Mei
Discontinuous Galerkin methods for the Stokes equations with nonlinear damping term on general meshes. Comput. Math. Appl. 79 (8) (2020)
Hailong Qiu, Liquan Mei
Two-grid MFEAs for the incompressible Stokes type variational inequality with damping. Comput. Math. Appl. 78 (8) (2019)
Shimin Guo, Liquan Mei, Yanren Hou, Zhengqiang Zhang
An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons. Comput. Phys. Commun. 237 (2019)
Ying Wang, Qi Li, Liquan Mei
A linear, symmetric and energy-conservative scheme for the space-fractional Klein-Gordon-Schrödinger equations. Appl. Math. Lett. 95 (2019)
Linlin Bu, Liquan Mei, Yan Hou
Stable second-order schemes for the space-fractional Cahn-Hilliard and Allen-Cahn equations. Comput. Math. Appl. 78 (11) (2019)
Qi Li, Liquan Mei, Xiaofeng Yang, Yibao Li
Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation. Adv. Comput. Math. 45 (3) (2019)
Ying Wang, Liquan Mei
A conservative spectral Galerkin method for the coupled nonlinear space-fractional Schrödinger equations. Int. J. Comput. Math. 96 (12) (2019)
Shimin Guo, Liquan Mei, Zhengqiang Zhang, Yutao Jiang
Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time-space fractional reaction-diffusion equation. Appl. Math. Lett. 85 (2018)
Yali Gao, Liquan Mei, Rui Li
Galerkin methods for the Davey-Stewartson equations. Appl. Math. Comput. 328 (2018)
Qi Li, Liquan Mei
Local momentum-preserving algorithms for the GRLW equation. Appl. Math. Comput. 330 (2018)
Yali Gao, Xiaoming He, Liquan Mei, Xiaofeng Yang
Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn-Hilliard-Navier-Stokes-Darcy Phase Field Model. SIAM J. Sci. Comput. 40 (1) (2018)
Yali Gao, Liquan Mei, Rui Li
Galerkin finite element methods for the generalized Klein-Gordon-Zakharov equations. Comput. Math. Appl. 74 (10) (2017)
Hailong Qiu, Yongchao Zhang, Liquan Mei
A Mixed-FEM for Navier-Stokes type variational inequality with nonlinear damping term. Comput. Math. Appl. 73 (10) (2017)
Shimin Guo, Liquan Mei, Ying Li
An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation. Comput. Math. Appl. 74 (10) (2017)
Dongyue Liang, Liquan Mei, James Willson, Wei Wang
A simple greedy approximation algorithm for the minimum connected k-Center problem. J. Comb. Optim. 31 (4) (2016)
Shimin Guo, Liquan Mei, Yubin Zhou
The compound (G' G)-expansion method and double non-traveling wave solutions of (2+1) -dimensional nonlinear partial differential equations. Comput. Math. Appl. 69 (8) (2015)
Yali Gao, Liquan Mei
Mixed Galerkin finite element methods for modified regularized long wave equation. Appl. Math. Comput. 258 (2015)
Hailong Qiu, Liquan Mei
Two-level defect-correction stabilized finite element method for Navier-Stokes equations with friction boundary conditions. J. Comput. Appl. Math. 280 (2015)
Yu Jiang, Liquan Mei, Huiming Wei
A finite element variational multiscale method for incompressible flow. Appl. Math. Comput. 266 (2015)
Yali Gao, Liquan Mei, Rui Li
A time-splitting Galerkin finite element method for the Davey-Stewartson equations. Comput. Phys. Commun. 197 (2015)
Ying Li, Jian Li, Liquan Mei, Yingping Li
Mixed stabilized finite element methods based on backward difference/Adams-Bashforth scheme for the time-dependent variable density incompressible flows. Comput. Math. Appl. 70 (10) (2015)
Hailong Qiu, Liquan Mei, Yamiao Zhang
Iterative penalty methods for the steady Navier-Stokes equations. Appl. Math. Comput. 237 (2014)
Meilan Qiu, Liquan Mei
Existence of Weak Solutions for Nonlinear Time-Fractional p-Laplace Problems. J. Appl. Math. 2014 (2014)
Ying Li, Liquan Mei, Jiatai Ge, Feng Shi
A new fractional time-stepping method for variable density incompressible flows. J. Comput. Phys. 242 (2013)
Shimin Guo, Liquan Mei, Ying Li
Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation. Appl. Math. Comput. 219 (11) (2013)
Liquan Mei, Yaping Chen
Numerical solutions of RLW equation using Galerkin method with extrapolation techniques. Comput. Phys. Commun. 183 (8) (2012)
Liquan Mei, Yaping Chen
Explicit multistep method for the numerical solution of RLW equation. Appl. Math. Comput. 218 (18) (2012)
Shimin Guo, Liquan Mei, Yubin Zhou, Chao Li
The extended Riccati equation mapping method for variable-coefficient diffusion-reaction and mKdV equations. Appl. Math. Comput. 217 (13) (2011)
Liquan Mei, Shujuan Zhang, Zhiliang Zhou
The coupling method of solution path and simulated annealing for similarity analysis of structural acoustic-vibration systems. ICNC (2010)
Yinnian He, Liquan Mei, Yueqiang Shang, Juan Cui
Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations. J. Sci. Comput. 44 (1) (2010)
Yu Jiang, Huiming Wei, Xinyu Song, Liquan Mei, Guanghui Su, Suizheng Qiu
Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and saturation incidence. Appl. Math. Comput. 213 (2) (2009)
Liquan Mei, Clemens-August Thole
Data analysis for parallel car-crash simulation results and model optimization. Simul. Model. Pract. Theory 16 (3) (2008)
Liquan Mei, Shujuan Zhang
A New Weighted Support Vector Machine for Regression and Its Parameters Optimization. ICIC (2) (2008)
Liquan Mei, Peipei Cheng
Multivariate Option Pricing Using Quasi-interpolation Based on Radial Basis Functions. ICIC (1) (2008)
Xinlong Feng, Liquan Mei, Guoliang He
An efficient algorithm for solving Troesch's problem. Appl. Math. Comput. 189 (1) (2007)
Jian Li, Liquan Mei, Yinnian He
A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition. Appl. Math. Comput. 182 (1) (2006)
Liquan Mei
Multigrid algorithms for solving multigroup neutron transport equations. Appl. Math. Comput. 179 (2) (2006)
Liquan Mei, Clemens-August Thole
Clustering Algorithms for Parallel Car-Crash Simulation Analysis. HPSC (2003)