Shipeng Mao

Orcid: 0000-0003-4115-6039

According to our database1, Shipeng Mao authored at least 33 papers between 2006 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
The interior penalty virtual element method for the biharmonic problem.
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
Computable Interpolation Error Constants for the Geometric Simplex Finite Elements.
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
A Convergent Finite Element Method for the Compressible Magnetohydrodynamics System.
J. Sci. Comput., 2020

2019
The Divergence-Free Nonconforming Virtual Element for the Stokes Problem.
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
The Morley-Type Virtual Element for Plate Bending Problems.
J. Sci. Comput., 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
Extension by zero in discrete trace spaces: Inverse estimates.
Math. Comput., 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
New error estimates of the Morley element for the plate bending problems.
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

A new a priori error analysis of nonconforming and mixed finite element methods.
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
Adaptive Finite Element Methods on Quadrilateral Meshes without Hanging Nodes.
SIAM J. Sci. Comput., 2010

A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity.
SIAM J. Numer. Anal., 2010

Second-order locking-free nonconforming elements for planar linear elasticity.
J. Comput. Appl. Math., 2010

2009
High accuracy analysis of two nonconforming plate elements.
Numerische Mathematik, 2009

2008
On the Interpolation Error Estimates for Q<sub>1</sub> Quadrilateral Finite Elements.
SIAM J. Numer. Anal., 2008

An optimally convergent adaptive mixed finite element method.
Numerische Mathematik, 2008

A quadrilateral nonconforming finite element for linear elasticity problem.
Adv. Comput. Math., 2008

2006
Anisotropic Biquadratic Element with Superclose Result.
J. Syst. Sci. Complex., 2006

Convergence and superconvergence of a nonconforming finite element method for the Stokes problem.
J. Num. Math., 2006


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