Shipeng Mao
Orcid: 0000-0003-4115-6039
According to our database1,
Shipeng Mao
authored at least 37 papers
between 2006 and 2025.
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Book In proceedings Article PhD thesis Dataset OtherLinks
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Bibliography
2025
Unconditionally Optimal Convergent Zero-Energy-Contribution Scheme for Two Phase MHD Model.
J. Sci. Comput., February, 2025
2024
Second Order Unconditionally Convergent Fully Discrete Scheme for Incompressible Vector Potential MHD System.
J. Sci. Comput., July, 2024
Error analysis of a fully discrete projection method for Cahn-Hilliard Inductionless MHD problems.
Commun. Nonlinear Sci. Numer. Simul., 2024
Second order, fully decoupled, linear, exactly divergence-free and unconditionally stable discrete scheme for incompressible MHD equations.
Comput. Math. Appl., 2024
2023
Math. Comput., February, 2023
Convergence and Error Estimates of a Mixed Discontinuous Galerkin-Finite Element Method for the Semi-stationary Compressible Stokes System.
J. Sci. Comput., February, 2023
Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem.
J. Comput. Appl. Math., 2023
MHDnet: Multi-modes multiscale physics informed neural networks for solving magnetohydrodynamics problems.
CoRR, 2023
2022
A Mixed Finite Element Method for Stationary Magneto-Heat Coupling System with Variable Coefficients.
Entropy, 2022
Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system.
Adv. Comput. Math., 2022
2021
J. Sci. Comput., 2021
Error Estimate of a Fully Discrete Finite Element Method for Incompressible Vector Potential Magnetohydrodynamic System.
J. Sci. Comput., 2021
Second order fully decoupled and unconditionally energy-stable finite element algorithm for the incompressible MHD equations.
Appl. Math. Lett., 2021
2020
J. Sci. Comput., 2020
2019
SIAM J. Numer. Anal., 2019
Optimal Error Estimates of Penalty Based Iterative Methods for Steady Incompressible Magnetohydrodynamics Equations with Different Viscosities.
J. Sci. Comput., 2019
2018
2017
Superconvergence of Finite Element Approximations for the Fractional Diffusion-Wave Equation.
J. Sci. Comput., 2017
A posteriori error analysis of nonconforming finite element methods for convection-diffusion problems.
J. Comput. Appl. Math., 2017
2015
Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes.
J. Sci. Comput., 2015
Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems.
Appl. Math. Comput., 2015
2014
J. Comput. Appl. Math., 2014
2013
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., 2013
Appl. Math. Lett., 2013
2011
Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations.
SIAM J. Numer. Anal., 2011
Quasi-optimality of an Adaptive Finite Element Method for an Optimal Control Problem.
Comput. Methods Appl. Math., 2011
Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions.
Appl. Math. Comput., 2011
2010
SIAM J. Sci. Comput., 2010
A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity.
SIAM J. Numer. Anal., 2010
J. Comput. Appl. Math., 2010
2009
Numerische Mathematik, 2009
2008
On the Interpolation Error Estimates for Q<sub>1</sub> Quadrilateral Finite Elements.
SIAM J. Numer. Anal., 2008
Numerische Mathematik, 2008
Adv. Comput. Math., 2008
2006
Convergence and superconvergence of a nonconforming finite element method for the Stokes problem.
J. Num. Math., 2006