Two-level Newton iterative method based on nonconforming finite element discretization for 2D/3D stationary MHD equations

J Xu, X Feng, H Su - Computers & Fluids, 2022 - Elsevier
In this paper, two-level Newton iterative method based on nonconforming finite element
discretization is presented for solving 2D/3D stationary incompressible magneto …

Low order nonconforming mixed finite element method for nonstationary incompressible Navier-Stokes equations

C Xu, D Shi, X Liao - Applied Mathematics and Mechanics, 2016 - Springer
This paper studies a low order mixed finite element method (FEM) for nonstationary
incompressible Navier-Stokes equations. The velocity and pressure are approximated by …

[PDF][PDF] Nonconforming mixed finite element methods for stationary incompressible magnetohydrodynamics

D Shi, Z Yu - Int. J. Numer. Anal. Model, 2013 - math.ualberta.ca
The main aim of this paper is to study the approximation of nonconforming mixed finite
element methods for stationary, incompressible magnetohydrodynamics (MHD) equations in …

Superconvergent analysis of a nonconforming mixed finite element method for time-dependent damped Navier–Stokes equations

L Qian, S Dongyang - Computational and Applied Mathematics, 2021 - Springer
The main aim of this paper is to develop a nonconforming mixed finite element method for
the time-dependent Navier–Stokes problem with nonlinear damping term. The …

A new low-order non-conforming mixed finite-element scheme for second-order elliptic problems

D Shi, C Wang - International Journal of Computer Mathematics, 2011 - Taylor & Francis
The main aim of this paper is to develop a new low-order non-conforming mixed finite-
element method to solve the second-order elliptic problems on rectangular meshes. The …

Convergence and superconvergence analysis of a nonconforming finite element method for solving the Signorini problem

D Shi, J Ren, W Gong - Nonlinear Analysis: Theory, Methods & …, 2012 - Elsevier
In this paper, we present the Carey nonconforming finite element approximation of the
variational inequality resulting from the Signorini problem. Firstly, we show that if the …

Optimal convergence analysis of two-level nonconforming finite element iterative methods for 2D/3D MHD equations

H Su, J Xu, X Feng - Entropy, 2022 - mdpi.com
Several two-level iterative methods based on nonconforming finite element methods are
applied for solving numerically the 2D/3D stationary incompressible MHD equations under …

Low‐Order Nonconforming Mixed Finite Element Methods for Stationary Incompressible Magnetohydrodynamics Equations

D Shi, Z Yu - Journal of Applied Mathematics, 2012 - Wiley Online Library
The nonconforming mixed finite element methods (NMFEMs) are introduced and analyzed
for the numerical discretization of a nonlinear, fully coupled stationary incompressible …

[HTML][HTML] Superconvergent analysis of a nonconforming mixed finite element method for non-stationary conduction–convection problem

D Shi, Q Liu - Computers & Mathematics with Applications, 2020 - Elsevier
In this paper, a backward-Euler mixed finite element (MFE) approximation scheme is
presented for the non-stationary conduction–convection problem, in which the constrained …

[引用][C] 非线性抛物型方程的变网格非协调有限元分析

于志云, 石东伟, 石东洋 - 河南师范大学学报: 自然科学版, 2012