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ORCIDShipeng Mao
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2020 – today
- 2025
[j38]Xiaorong Wang, Xuerui Mao, Shipeng Mao
, Xiaoming He:
A mass and charge conservative fully discrete scheme for a 3D diffuse interface model of the two-phase inductionless MHD flows. Comput. Math. Appl. 182: 139-162 (2025)- [j37]Qianqian Ding, Shipeng Mao, Xiaorong Wang:
A fully discrete finite element method for unsteady magnetohydrodynamic flow in porous media. Commun. Nonlinear Sci. Numer. Simul. 145: 108735 (2025) - [j36]Jinjin Yang, Shipeng Mao, Xiaoming He:
Unconditionally Optimal Convergent Zero-Energy-Contribution Scheme for Two Phase MHD Model. J. Sci. Comput. 102(2): 55 (2025) - 2024
- [j35]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: 195-204 (2024) - [j34]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: 108195 (2024) - [j33]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): 1 (2024) - 2023
- [j32]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: 114728 (2023) - [j31]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): 47 (2023) - [j30]Jikun Zhao, Shipeng Mao, Bei Zhang, Fei Wang:
The interior penalty virtual element method for the biharmonic problem. Math. Comput. 92(342): 1543-1574 (2023) - [i1]Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang:
MHDnet: Multi-modes multiscale physics informed neural networks for solving magnetohydrodynamics problems. CoRR abs/2305.07940 (2023) - 2022
- [j29]Qianqian Ding, Shipeng Mao, Jiaao Sun:
Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system. Adv. Comput. Math. 48(5): 55 (2022) - [j28]Qianqian Ding, Xiaonian Long, Shipeng Mao:
A Mixed Finite Element Method for Stationary Magneto-Heat Coupling System with Variable Coefficients. Entropy 24(7): 912 (2022) - 2021
- [j27]Jinjin Yang, Shipeng Mao:
Second order fully decoupled and unconditionally energy-stable finite element algorithm for the incompressible MHD equations. Appl. Math. Lett. 121: 107467 (2021) - [j26]Tingting Hao, Xiaofei Guan, Shipeng Mao, Shaochun Chen:
Computable Interpolation Error Constants for the Geometric Simplex Finite Elements. J. Sci. Comput. 87(1): 35 (2021) - [j25]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): 71 (2021) - 2020
- [j24]Qianqian Ding, Shipeng Mao:
A Convergent Finite Element Method for the Compressible Magnetohydrodynamics System. J. Sci. Comput. 82(1): 21 (2020)
2010 – 2019
- 2019
- [j23]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): 1078-1110 (2019) - [j22]Jikun Zhao, Bei Zhang, Shipeng Mao, Shaochun Chen:
The Divergence-Free Nonconforming Virtual Element for the Stokes Problem. SIAM J. Numer. Anal. 57(6): 2730-2759 (2019) - 2018
- [j21]Jikun Zhao, Bei Zhang, Shaochun Chen, Shipeng Mao:
The Morley-Type Virtual Element for Plate Bending Problems. J. Sci. Comput. 76(1): 610-629 (2018) - 2017
- [j20]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: 416-426 (2017) - [j19]Jincheng Ren, Xiaonian Long, Shipeng Mao, Jiwei Zhang:
Superconvergence of Finite Element Approximations for the Fractional Diffusion-Wave Equation. J. Sci. Comput. 72(3): 917-935 (2017) - 2015
- [j18]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: 346-358 (2015) - [j17]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): 368-400 (2015) - [j16]Ralf Hiptmair, Carlos Jerez-Hanckes, Shipeng Mao:
Extension by zero in discrete trace spaces: Inverse estimates. Math. Comput. 84(296): 2589-2615 (2015) - 2014
- [j15]Mingxia Li, Xiaofei Guan, Shipeng Mao:
New error estimates of the Morley element for the plate bending problems. J. Comput. Appl. Math. 263: 405-416 (2014) - 2013
- [j14]Mingxia Li, Shipeng Mao:
A new a priori error analysis of nonconforming and mixed finite element methods. Appl. Math. Lett. 26(1): 32-37 (2013) - [j13]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): 313 (2013) - 2011
- [j12]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): 9313-9321 (2011) - [j11]Roland Becker, Shipeng Mao:
Quasi-optimality of an Adaptive Finite Element Method for an Optimal Control Problem. Comput. Methods Appl. Math. 11(2): 107-128 (2011) - [j10]Roland Becker, Shipeng Mao:
Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations. SIAM J. Numer. Anal. 49(3): 970-991 (2011) - 2010
- [j9]Shaochun Chen, Guobiao Ren, Shipeng Mao:
Second-order locking-free nonconforming elements for planar linear elasticity. J. Comput. Appl. Math. 233(10): 2534-2548 (2010) - [j8]Roland Becker, Shipeng Mao, Zhongci Shi:
A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity. SIAM J. Numer. Anal. 47(6): 4639-4659 (2010) - [j7]Xuying Zhao, Shipeng Mao, Zhongci Shi:
Adaptive Finite Element Methods on Quadrilateral Meshes without Hanging Nodes. SIAM J. Sci. Comput. 32(4): 2099-2120 (2010)
2000 – 2009
- 2009
- [j6]Shipeng Mao, Zhongci Shi:
High accuracy analysis of two nonconforming plate elements. Numerische Mathematik 111(3): 407-443 (2009) - 2008
- [j5]Shipeng Mao, Shaochun Chen:
A quadrilateral nonconforming finite element for linear elasticity problem. Adv. Comput. Math. 28(1): 81-100 (2008) - [j4]Roland Becker, Shipeng Mao:
An optimally convergent adaptive mixed finite element method. Numerische Mathematik 111(1): 35-54 (2008) - [j3]Shipeng Mao, Serge Nicaise, Zhongci Shi:
On the Interpolation Error Estimates for Q1 Quadrilateral Finite Elements. SIAM J. Numer. Anal. 47(1): 467-486 (2008) - 2006
- [j2]Shipeng Mao, Shaochun Chen:
Convergence and superconvergence of a nonconforming finite element method for the Stokes problem. J. Num. Math. 14(2): 83-101 (2006) - [j1]Dongyang Shi, Shipeng Mao, Hui Liang:
Anisotropic Biquadratic Element with Superclose Result. J. Syst. Sci. Complex. 19(4): 566-576 (2006)
Coauthor Index
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