Investigations on two kinds of two-level stabilized finite element methods for the stationary Navier-Stokes equations. - Jian Li 029 (Appl. Math. Comput., 2006)

A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition. - Jian Li 029; Liquan Mei; Yinnian He (Appl. Math. Comput., 2006)

A new local stabilized nonconforming finite element method for the Stokes equations. - Jian Li 029; Zhangxin Chen (Computing, 2008)

Local and parallel finite element algorithms for the stokes problem. - Yinnian He; Jinchao Xu; Aihui Zhou; Jian Li 029 (Numerische Mathematik, 2008)

A new stabilized finite volume method for the stationary Stokes equations. - Jian Li 029; Zhangxin Chen (Adv. Comput. Math., 2009)

Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs. - Jian Li 029; Yinnian He; Zhangxin Chen (Computing, 2009)

A multiscale finite element method for optimal control problems governed by the elliptic homogenization equations. - Jian Li 029 (Comput. Math. Appl., 2010)

A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations. - Yinnian He; Jian Li 029 (J. Comput. Appl. Math., 2010)

A new local stabilized nonconforming finite element method for solving stationary Navier-Stokes equations. - Liping Zhu; Jian Li 029; Zhangxin Chen (J. Comput. Appl. Math., 2011)

Numerical comparisons of time-space iterative method and spatial iterative methods for the stationary Navier-Stokes equations. - Yinnian He; Jian Li 029 (J. Comput. Phys., 2012)

A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations. - Jian Li 029; Zhangxin Chen; Yinnian He (Numerische Mathematik, 2012)

On the semi-discrete stabilized finite volume method for the transient Navier-Stokes equations. - Jian Li 029; Zhangxin Chen (Adv. Comput. Math., 2013)

Optimal L2, H1 and L∞ analysis of finite volume methods for the stationary Navier-Stokes equations with large data. - Jian Li 029; Zhangxin Chen (Numerische Mathematik, 2014)

A novel L∞ analysis for finite volume approximations of the Stokes problem. - Jian Li 029; Xin Zhao; Zhangxin Chen (J. Comput. Appl. Math., 2015)

Unconditional convergence and optimal error estimates of the Euler semi-implicit scheme for a generalized nonlinear Schrödinger equation. - Wentao Cai 001; Jian Li 029; Zhangxin Chen (Adv. Comput. Math., 2016)

A weak Galerkin finite element method for the Oseen equations. - Xin Liu; Jian Li 029; Zhangxin Chen (Adv. Comput. Math., 2016)

A stabilized finite element method based on two local Gauss integrations for a coupled Stokes-Darcy problem. - Rui Li 008; Jian Li 029; Zhangxin Chen; Yali Gao (J. Comput. Appl. Math., 2016)

Discontinuous Galerkin methods for the incompressible flow with nonlinear leak boundary conditions of friction type. - Feifei Jing; Jian Li 029; Zhangxin Chen; Wenjing Yan (Appl. Math. Lett., 2017)

Numerical analysis of a characteristic stabilized finite element method for the time-dependent Navier-Stokes equations with nonlinear slip boundary conditions. - Feifei Jing; Jian Li 029; Zhangxin Chen; Zhonghua Zhang (J. Comput. Appl. Math., 2017)

Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation. - Wentao Cai 001; Jian Li 029; Zhangxin Chen (J. Comput. Appl. Math., 2018)

A weak Galerkin finite element method for a coupled Stokes-Darcy problem on general meshes. - Rui Li 008; Yali Gao; Jian Li 029; Zhangxin Chen (J. Comput. Appl. Math., 2018)

A weak Galerkin finite element method for the Navier-Stokes equations. - Xin Liu; Jian Li 029; Zhangxin Chen (J. Comput. Appl. Math., 2018)

Discontinuous Finite Volume Element Method for a Coupled Non-stationary Stokes-Darcy Problem. - Rui Li 008; Yali Gao; Jian Li 029; Zhangxin Chen (J. Sci. Comput., 2018)

A local and parallel Uzawa finite element method for the generalized Navier-Stokes equations. - Yu Shu; Jian Li 029; Chong Zhang (Appl. Math. Comput., 2020)

The efficient rotational pressure-correction schemes for the coupling Stokes/Darcy problem. - Jian Li 029; Min Yao; Md. Abdullah Al Mahbub; Haibiao Zheng (Comput. Math. Appl., 2020)

Decoupled Modified Characteristic Finite Element Method with Different Subdomain Time Steps for Nonstationary Dual-Porosity-Navier-Stokes Model. - Luling Cao; Yinnian He; Jian Li 029 (CoRR, 2020)

A priori and a posteriori estimates of stabilized mixed finite volume methods for the incompressible flow arising in arteriosclerosis. - Jian Li 029; Feifei Jing; Zhangxin Chen; Xiaolin Lin (J. Comput. Appl. Math., 2020)

A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition. - Changxin Qiu; Xiaoming He; Jian Li 029; Yanping Lin (J. Comput. Phys., 2020)

Decoupled modified characteristic FEMs for fully evolutionary Navier-Stokes-Darcy model with the Beavers-Joseph interface condition. - Luling Cao; Yinnian He; Jian Li 029; Di Yang 005 (J. Comput. Appl. Math., 2021)

A second-order fractional time-stepping method for a coupled Stokes/Darcy system. - Jian Li 029; Rui Li 008; Xin Zhao; Zhangxin Chen (J. Comput. Appl. Math., 2021)

A variable time-stepping algorithm for the unsteady Stokes/Darcy model. - Yi Qin; Yanren Hou; Wenlong Pei; Jian Li 029 (J. Comput. Appl. Math., 2021)

Local and parallel efficient BDF2 and BDF3 rotational pressure-correction schemes for a coupled Stokes/Darcy system. - Jian Li 029; Xue Wang; Md. Abdullah Al Mahbub; Haibiao Zheng; Zhangxin Chen (J. Comput. Appl. Math., 2022)

A Parallel Robin-Robin Domain Decomposition Method based on Modified Characteristic FEMs for the Time-Dependent Dual-porosity-Navier-Stokes Model with the Beavers-Joseph Interface Condition. - Luling Cao; Yinnian He; Jian Li 029 (J. Sci. Comput., 2022)

Lopsided shift-splitting preconditioner for saddle point problems with three-by-three structure. - Na Zhang; Ruixia Li; Jian Li 029 (Comput. Appl. Math., 2022)

Efficient coupled deep neural networks for the time-dependent coupled Stokes-Darcy problems. - Jing Yue; Jian Li 029 (Appl. Math. Comput., 2023)

Analysis of a FEM-MCM Discretization for the 2D/3D stochastic closed-loop geothermal system. - Jian Li 029; Xinyue Gao; Yi Qin (CoRR, 2023)

A Local Parallel Finite Element Method for Super-Hydrophobic Proppants in a Hydraulic Fracturing System Based on a 2D/3D Transient Triple-Porosity Navier-Stokes Model. - Luling Cao; Jian Li 029; Zhangxin Chen; Guangzhi Du (CoRR, 2023)

CPINNs: A coupled physics-informed neural networks for the closed-loop geothermal system. - Wen Zhang; Jian Li 029 (Comput. Math. Appl., 2023)

The robust physics-informed neural networks for a typical fourth-order phase field model. - Wen Zhang; Jian Li 029 (Comput. Math. Appl., 2023)

A second-order adaptive time filter algorithm with different subdomain variable time steps for the evolutionary Stokes/Darcy model. - Yi Qin; Yang Wang; Lele Chen; Yi Li; Jian Li 029 (Comput. Math. Appl., 2023)

A decoupled stabilized finite element method for nonstationary stochastic shale oil model based on superhydrophobic material modification. - Jian Li 029; Xinyue Zhang; Ruixia Li (Comput. Math. Appl., 2024)

The coupled physical-informed neural networks for the two phase magnetohydrodynamic flows. - Keyi Peng; Jian Li 029 (Comput. Math. Appl., 2024)

Optimally convergent mixed finite element methods for the time-dependent 2D/3D stochastic closed-loop geothermal system with multiplicative noise. - Xinyue Gao; Yi Qin; Jian Li 029 (Adv. Comput. Math., 2024)

MC-CDNNs: The Monte Carlo-coupled deep neural networks approach for stochastic dual-porosity-Stokes flow coupled model. - Jian Li 029; Shaoxuan Li; Jing Yue (Comput. Math. Appl., 2025)