The Arrow-Hurwicz iterative finite element method for the stationary magnetohydrodynamics flow
type: Item
instance of: scholarly article
title: The Arrow-Hurwicz iterative finite element method for the stationary magnetohydrodynamics flow
zbMATH Open document ID: 1428.76108
author: Yun-Bo Yang
author: Yao-Lin Jiang
author: Qiongxiang Kong
published in: Applied Mathematics and Computation
publication date: 2019-11-29T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 7138620
zbMATH Keywords: magnetohydrodynamics equations
zbMATH Keywords: arrow-hurwicz method
zbMATH Keywords: mixed finite element method
zbMATH Keywords: convergence rate analysis
describes a project that uses: FreeFem++
MaRDI profile type: Publication
full work available at URL: j.amc.2018.10.050
OpenAlex ID: W2930165321
cites work: Q5318420
cites work: Q3266142
cites work: Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
cites work: Numerical solution of saddle point problems
cites work: Q4300595
cites work: Some Uzawa methods for steady incompressible Navier-Stokes equations discretized by mixed element methods
cites work: Solving steady incompressible Navier-Stokes equations by the Arrow-Hurwicz method
cites work: Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
cites work: Two-level Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics
cites work: Convergence of some finite element iterative methods related to different Reynolds numbers for the 2D/3D stationary incompressible magnetohydrodynamics
cites work: The Oseen Type Finite Element Iterative Method for the Stationary Incompressible Magnetohydrodynamics
cites work: An Absolutely Stabilized Finite Element Method for the Stokes Problem
cites work: Finite elements and fast iterative solvers. With applications in incompressible fluid dynamics
cites work: A stabilized finite element method for the incompressible magnetohydrodynamic equations
cites work: Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
cites work: On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
cites work: Mixed finite element approximation of incompressible MHD problems based on weighted regularization
cites work: On the regularity criteria for weak solutions to the magnetohydrodynamic equations
cites work: New development in freefem++
cites work: A mixed DG method for linearized incompressible magnetohydrodynamics
cites work: A new two grid variational multiscale method for steady-state natural convection problem
cites work: Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
cites work: Optimal relaxation parameter for the Uzawa method
cites work: Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
cites work: Q4700025
cites work: Mixed finite element methods for stationary incompressible magneto-hydrodynamics
cites work: Large-time behaviour of solutions to the magneto-hydrodynamics equations
cites work: Some mathematical questions related to the mhd equations
cites work: Local and parallel finite element algorithm based on Oseen-type iteration for the stationary incompressible MHD flow
cites work: Q3689590
cites work: Preconditioning
cites work: Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations
DOI: 10.1016/J.AMC.2018.10.050
Recommended article: The Arrow-Hurwicz iterative finite element method for the stationary thermally coupled incompressible magnetohydrodynamics flow
Recommended article: Stabilized finite element approximation of the stationary magneto-hydrodynamics equations
Recommended article: Mixed finite element methods for stationary incompressible magneto-hydrodynamics
Recommended article: Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics
Recommended article: A finite element method for magnetohydrodynamics
Recommended article: Finite element approximation for equations of magnetohydrodynamics
Recommended article: A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics
Recommended article: A stabilized finite element method for the incompressible magnetohydrodynamic equations
Recommended article: The Oseen Type Finite Element Iterative Method for the Stationary Incompressible Magnetohydrodynamics
Recommended article: Two‐level methods based on the Arrow–Hurwicz iteration for the steady incompressible magnetohydrodynamic system
description: scientific article; zbMATH DE number 7138620