Shipeng Mao

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 21

Top Topics

Error Estimates

Diffuse Optical Tomography

Top Venues

J. Sci. Comput.

J. Comput. Appl. Math.

Appl. Math. Lett.

Publications

Qianqian Ding, Xiaonian Long, Shipeng Mao, Ruijie Xi
Second Order Unconditionally Convergent Fully Discrete Scheme for Incompressible Vector Potential MHD System. J. Sci. Comput. 100 (1) (2024)
Qianqian Ding, Shipeng Mao, Ruijie Xi
Second order, fully decoupled, linear, exactly divergence-free and unconditionally stable discrete scheme for incompressible MHD equations. Comput. Math. Appl. 169 (2024)
Qianqian Ding, Shipeng Mao, Xiaorong Wang
Error analysis of a fully discrete projection method for Cahn-Hilliard Inductionless MHD problems. Commun. Nonlinear Sci. Numer. Simul. 138 (2024)
Shipeng Mao, Wendong Xue
Convergence and Error Estimates of a Mixed Discontinuous Galerkin-Finite Element Method for the Semi-stationary Compressible Stokes System. J. Sci. Comput. 94 (3) (2023)
Jikun Zhao, Shipeng Mao, Bei Zhang, Fei Wang
The interior penalty virtual element method for the biharmonic problem. Math. Comput. 92 (342) (2023)
Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang
MHDnet: Multi-modes multiscale physics informed neural networks for solving Magnetohydrodynamics problems. CoRR (2023)
Xiaonian Long, Qianqian Ding, Shipeng Mao
Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem. J. Comput. Appl. Math. 419 (2023)
Qianqian Ding, Shipeng Mao, Jiaao Sun
Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system. Adv. Comput. Math. 48 (5) (2022)
Qianqian Ding, Xiaonian Long, Shipeng Mao
A Mixed Finite Element Method for Stationary Magneto-Heat Coupling System with Variable Coefficients. Entropy 24 (7) (2022)
Tingting Hao, Xiaofei Guan, Shipeng Mao, Shaochun Chen
Computable Interpolation Error Constants for the Geometric Simplex Finite Elements. J. Sci. Comput. 87 (1) (2021)
Jinjin Yang, Shipeng Mao
Second order fully decoupled and unconditionally energy-stable finite element algorithm for the incompressible MHD equations. Appl. Math. Lett. 121 (2021)
Qianqian Ding, Xiaonian Long, Shipeng Mao
Error Estimate of a Fully Discrete Finite Element Method for Incompressible Vector Potential Magnetohydrodynamic System. J. Sci. Comput. 88 (3) (2021)
Qianqian Ding, Shipeng Mao
A Convergent Finite Element Method for the Compressible Magnetohydrodynamics System. J. Sci. Comput. 82 (1) (2020)
Haiyan Su, Shipeng Mao, Xinlong Feng
Optimal Error Estimates of Penalty Based Iterative Methods for Steady Incompressible Magnetohydrodynamics Equations with Different Viscosities. J. Sci. Comput. 79 (2) (2019)
Jikun Zhao, Bei Zhang, Shipeng Mao, Shaochun Chen
The Divergence-Free Nonconforming Virtual Element for the Stokes Problem. SIAM J. Numer. Anal. 57 (6) (2019)
Jikun Zhao, Bei Zhang, Shaochun Chen, Shipeng Mao
The Morley-Type Virtual Element for Plate Bending Problems. J. Sci. Comput. 76 (1) (2018)
Jincheng Ren, Xiaonian Long, Shipeng Mao, Jiwei Zhang
Superconvergence of Finite Element Approximations for the Fractional Diffusion-Wave Equation. J. Sci. Comput. 72 (3) (2017)
Bei Zhang, Shaochun Chen, Jikun Zhao, Shipeng Mao
A posteriori error analysis of nonconforming finite element methods for convection-diffusion problems. J. Comput. Appl. Math. 321 (2017)
Jikun Zhao, Shaochun Chen, Bei Zhang, Shipeng Mao
Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems. Appl. Math. Comput. 264 (2015)
Jikun Zhao, Shaochun Chen, Bei Zhang, Shipeng Mao
Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes. J. Sci. Comput. 64 (2) (2015)
Ralf Hiptmair, Carlos Jerez-Hanckes, Shipeng Mao
Extension by zero in discrete trace spaces: Inverse estimates. Math. Comput. 84 (296) (2015)
Mingxia Li, Xiaofei Guan, Shipeng Mao
New error estimates of the Morley element for the plate bending problems. J. Comput. Appl. Math. 263 (2014)
Mingxia Li, Shipeng Mao
Corrigendum to "A new a priori error analysis of nonconforming and mixed finite element methods" [Appl. Math. Lett. 26(2013) 32-37]. Appl. Math. Lett. 26 (2) (2013)
Mingxia Li, Shipeng Mao
A new a priori error analysis of nonconforming and mixed finite element methods. Appl. Math. Lett. 26 (1) (2013)
Shaochun Chen, Yanjun Zheng, Shipeng Mao
Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions. Appl. Math. Comput. 217 (22) (2011)
Roland Becker, Shipeng Mao
Quasi-optimality of an Adaptive Finite Element Method for an Optimal Control Problem. Comput. Methods Appl. Math. 11 (2) (2011)
Roland Becker, Shipeng Mao
Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations. SIAM J. Numer. Anal. 49 (3) (2011)
Shaochun Chen, Guobiao Ren, Shipeng Mao
Second-order locking-free nonconforming elements for planar linear elasticity. J. Comput. Appl. Math. 233 (10) (2010)
Xuying Zhao, Shipeng Mao, Zhongci Shi
Adaptive Finite Element Methods on Quadrilateral Meshes without Hanging Nodes. SIAM J. Sci. Comput. 32 (4) (2010)
Roland Becker, Shipeng Mao, Zhongci Shi
A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity. SIAM J. Numer. Anal. 47 (6) (2010)
Shipeng Mao, Zhongci Shi
High accuracy analysis of two nonconforming plate elements. Numerische Mathematik 111 (3) (2009)
Shipeng Mao, Serge Nicaise, Zhongci Shi
Quadrilateral Finite Elements. SIAM J. Numer. Anal. 47 (1) (2008)
Roland Becker, Shipeng Mao
An optimally convergent adaptive mixed finite element method. Numerische Mathematik 111 (1) (2008)
Shipeng Mao, Shaochun Chen
A quadrilateral nonconforming finite element for linear elasticity problem. Adv. Comput. Math. 28 (1) (2008)
Dongyang Shi, Shipeng Mao, Hui Liang
Anisotropic Biquadratic Element with Superclose Result. J. Syst. Sci. Complex. 19 (4) (2006)
Shipeng Mao, Shaochun Chen
Convergence and superconvergence of a nonconforming finite element method for the Stokes problem. J. Num. Math. 14 (2) (2006)