Convergence and superconvergence of a nonconforming finite element method for the Stokes problem. - Shipeng Mao; Shaochun Chen (J. Num. Math., 2006)

Anisotropic Biquadratic Element with Superclose Result. - Dongyang Shi; Shipeng Mao; Hui Liang (J. Syst. Sci. Complex., 2006)

A quadrilateral nonconforming finite element for linear elasticity problem. - Shipeng Mao; Shaochun Chen (Adv. Comput. Math., 2008)

An optimally convergent adaptive mixed finite element method. - Roland Becker; Shipeng Mao (Numerische Mathematik, 2008)

On the Interpolation Error Estimates for Q1 Quadrilateral Finite Elements. - Shipeng Mao; Serge Nicaise; Zhongci Shi (SIAM J. Numer. Anal., 2008)

High accuracy analysis of two nonconforming plate elements. - Shipeng Mao; Zhongci Shi (Numerische Mathematik, 2009)

Second-order locking-free nonconforming elements for planar linear elasticity. - Shaochun Chen; Guobiao Ren; Shipeng Mao (J. Comput. Appl. Math., 2010)

A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity. - Roland Becker; Shipeng Mao; Zhongci Shi (SIAM J. Numer. Anal., 2010)

Adaptive Finite Element Methods on Quadrilateral Meshes without Hanging Nodes. - Xuying Zhao; Shipeng Mao; Zhongci Shi (SIAM J. Sci. Comput., 2010)

Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions. - Shaochun Chen; Yanjun Zheng; Shipeng Mao (Appl. Math. Comput., 2011)

Quasi-optimality of an Adaptive Finite Element Method for an Optimal Control Problem. - Roland Becker; Shipeng Mao (Comput. Methods Appl. Math., 2011)

Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations. - Roland Becker; Shipeng Mao (SIAM J. Numer. Anal., 2011)

A new a priori error analysis of nonconforming and mixed finite element methods. - Mingxia Li; Shipeng Mao (Appl. Math. Lett., 2013)

Corrigendum to "A new a priori error analysis of nonconforming and mixed finite element methods" [Appl. Math. Lett. 26(2013) 32-37]. - Mingxia Li; Shipeng Mao (Appl. Math. Lett., 2013)

New error estimates of the Morley element for the plate bending problems. - Mingxia Li; Xiaofei Guan; Shipeng Mao (J. Comput. Appl. Math., 2014)

Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems. - Jikun Zhao; Shaochun Chen; Bei Zhang; Shipeng Mao (Appl. Math. Comput., 2015)

Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes. - Jikun Zhao; Shaochun Chen; Bei Zhang; Shipeng Mao (J. Sci. Comput., 2015)

Extension by zero in discrete trace spaces: Inverse estimates. - Ralf Hiptmair; Carlos Jerez-Hanckes; Shipeng Mao (Math. Comput., 2015)

A posteriori error analysis of nonconforming finite element methods for convection-diffusion problems. - Bei Zhang; Shaochun Chen; Jikun Zhao; Shipeng Mao (J. Comput. Appl. Math., 2017)

Superconvergence of Finite Element Approximations for the Fractional Diffusion-Wave Equation. - Jincheng Ren; Xiaonian Long; Shipeng Mao; Jiwei Zhang 002 (J. Sci. Comput., 2017)

The Morley-Type Virtual Element for Plate Bending Problems. - Jikun Zhao; Bei Zhang; Shaochun Chen; Shipeng Mao (J. Sci. Comput., 2018)

Optimal Error Estimates of Penalty Based Iterative Methods for Steady Incompressible Magnetohydrodynamics Equations with Different Viscosities. - Haiyan Su; Shipeng Mao; Xinlong Feng (J. Sci. Comput., 2019)

The Divergence-Free Nonconforming Virtual Element for the Stokes Problem. - Jikun Zhao; Bei Zhang; Shipeng Mao; Shaochun Chen (SIAM J. Numer. Anal., 2019)

A Convergent Finite Element Method for the Compressible Magnetohydrodynamics System. - Qianqian Ding; Shipeng Mao (J. Sci. Comput., 2020)

Second order fully decoupled and unconditionally energy-stable finite element algorithm for the incompressible MHD equations. - Jinjin Yang; Shipeng Mao (Appl. Math. Lett., 2021)

Error Estimate of a Fully Discrete Finite Element Method for Incompressible Vector Potential Magnetohydrodynamic System. - Qianqian Ding; Xiaonian Long; Shipeng Mao (J. Sci. Comput., 2021)

Computable Interpolation Error Constants for the Geometric Simplex Finite Elements. - Tingting Hao; Xiaofei Guan; Shipeng Mao; Shaochun Chen (J. Sci. Comput., 2021)

Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system. - Qianqian Ding; Shipeng Mao; Jiaao Sun (Adv. Comput. Math., 2022)

A Mixed Finite Element Method for Stationary Magneto-Heat Coupling System with Variable Coefficients. - Qianqian Ding; Xiaonian Long; Shipeng Mao (Entropy, 2022)

MHDnet: Multi-modes multiscale physics informed neural networks for solving magnetohydrodynamics problems. - Xiaofei Guan; Boya Hu; Shipeng Mao; Xintong Wang (CoRR, 2023)

Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem. - Xiaonian Long; Qianqian Ding; Shipeng Mao (J. Comput. Appl. Math., 2023)

Convergence and Error Estimates of a Mixed Discontinuous Galerkin-Finite Element Method for the Semi-stationary Compressible Stokes System. - Shipeng Mao; Wendong Xue (J. Sci. Comput., 2023)

The interior penalty virtual element method for the biharmonic problem. - Jikun Zhao; Shipeng Mao; Bei Zhang; Fei Wang (Math. Comput., 2023)

Second order, fully decoupled, linear, exactly divergence-free and unconditionally stable discrete scheme for incompressible MHD equations. - Qianqian Ding; Shipeng Mao; Ruijie Xi (Comput. Math. Appl., 2024)

Error analysis of a fully discrete projection method for Cahn-Hilliard Inductionless MHD problems. - Qianqian Ding; Shipeng Mao; Xiaorong Wang (Commun. Nonlinear Sci. Numer. Simul., 2024)

Second Order Unconditionally Convergent Fully Discrete Scheme for Incompressible Vector Potential MHD System. - Qianqian Ding; Xiaonian Long; Shipeng Mao; Ruijie Xi (J. Sci. Comput., 2024)

A streamline diffusion method for nonstationary incompressible magnetohydrodynamics system with variable density. - Mingxia Li; Qianqian Ding; Shipeng Mao (Comput. Math. Appl., 2025)

A mass and charge conservative fully discrete scheme for a 3D diffuse interface model of the two-phase inductionless MHD flows. - Xiaorong Wang; Xuerui Mao; Shipeng Mao; Xiaoming He (Comput. Math. Appl., 2025)

A fully discrete finite element method for unsteady magnetohydrodynamic flow in porous media. - Qianqian Ding; Shipeng Mao; Xiaorong Wang (Commun. Nonlinear Sci. Numer. Simul., 2025)

An incompressibility, divB=0 preserving, current density, helicity, energy-conserving finite element method for incompressible MHD systems. - Shipeng Mao; Ruijie Xi (J. Comput. Phys., 2025)

Unconditionally Optimal Convergent Zero-Energy-Contribution Scheme for Two Phase MHD Model. - Jinjin Yang; Shipeng Mao; Xiaoming He (J. Sci. Comput., 2025)