Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method
type: Item
instance of: scholarly article
title: Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method
zbMATH Open document ID: 1412.65070
author: Mehdi Dehghan
author: Mostafa Abbaszadeh
published in: Applied Numerical Mathematics
publication date: 2019-02-22T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65D32
zbMATH DE Number: 7027800
zbMATH Keywords: magnetohydrodynamics (MHD) equation
zbMATH Keywords: element free Galerkin (EFG) method
zbMATH Keywords: interpolating moving least squares approximation
zbMATH Keywords: unconditional stability
zbMATH Keywords: convergence
zbMATH Keywords: interpolating element free Galerkin technique
MaRDI profile type: Publication
full work available at URL: j.apnum.2018.10.004
OpenAlex ID: W2896533445
cites work: An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate
cites work: Duct flow with a transverse magnetic field at high Hartmann numbers
cites work: An accurate, stable and efficient domain-type meshless method for the solution of MHD flow problems
cites work: Boundary element solution of unsteady magnetohydrodynamic duct flow with differential quadrature time integration scheme
cites work: Fundamental solution for coupled magnetohydrodynamic flow equations
cites work: Functional analysis, Sobolev spaces and partial differential equations
cites work: On the finite volume element method
cites work: The Finite Volume Element Method for Diffusion Equations on General Triangulations
cites work: Local radial point interpolation method for the fully developed magnetohydrodynamic flow
cites work: Upwinding meshfree point collocation method for steady MHD flow with arbitrary orientation of applied magnetic field at high Hartmann numbers
cites work: A finite volume method based on the Crouzeix-Raviart element for elliptic PDE's in two dimensions
cites work: A novel interpolating element-free Galerkin (IEFG) method for two-dimensional elastoplasticity
cites work: Numerical solution of transient heat conduction problems using improved meshless local Petrov-Galerkin method
cites work: Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation
cites work: A reduced proper orthogonal decomposition (POD) element free Galerkin (POD-EFG) method to simulate two-dimensional solute transport problems and error estimate
cites work: Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity
cites work: The method of variably scaled radial kernels for solving two-dimensional magnetohydrodynamic (MHD) equations using two discretizations: the Crank-Nicolson scheme and the method of lines (MOL)
cites work: A meshfree weak-strong (MWS) form method for the unsteady magnetohydrodynamic (MHD) flow in pipe with arbitrary wall conductivity
cites work: A new algorithm for solution of equations of MHD channel flows at moderate Hartmann numbers
cites work: Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
cites work: The boundary elements method for magneto-hydrodynamic (MHD) channel flows at high Hartmann numbers
cites work: Two new upwind difference schemes for a coupled system of convection-diffusion equations arising from the steady MHD duct flow problems
cites work: A meshless interpolating Galerkin boundary node method for Stokes flows
cites work: A novel complex variable element-free Galerkin method for two-dimensional large deformation problems
cites work: Steady heat conduction analyses using an interpolating element-free Galerkin scaled boundary method
cites work: The element-free Galerkin method for the nonlinear \(p\)-Laplacian equation
cites work: On the stability of the moving least squares approximation and the element-free Galerkin method
cites work: Analysis of the complex moving least squares approximation and the associated element-free Galerkin method
cites work: An exponential compact difference scheme for solving 2D steady magnetohydrodynamic (MHD) duct flow problems
cites work: Analysis of the inherent instability of the interpolating moving least squares method when using improper polynomial bases
cites work: A numerical framework for two-dimensional large deformation of inhomogeneous swelling of gels using the improved complex variable element-free Galerkin method
cites work: Localized meshless point collocation method for time-dependent magnetohydrodynamics flow through pipes under a variety of wall conductivity conditions
cites work: The finite element method for MHD flow at high Hartmann numbers
cites work: Finite difference and finite element methods for mhd channel flows
cites work: Linear feedback control and approximation for a system governed by unsteady MHD equations
cites work: The interpolating element-free Galerkin (IEFG) method for two-dimensional potential problems
cites work: A finite element method for magnetohydrodynamics
cites work: A stable boundary elements method for magnetohydrodynamic channel flows at high Hartmann numbers
cites work: Numerical solution of 2D Navier-Stokes equation discretized via boundary elements method and finite difference approximation
cites work: A finite volume spectral element method for solving magnetohydrodynamic (MHD) equations
cites work: Q5818089
cites work: Magnetohydrodynamic axial flow in a triangular pipe under transverse magnetic field
cites work: Finite element method in magnetohydrodynamic channel flow problems
cites work: The Galerkin boundary node method for magneto-hydrodynamic (MHD) equation
cites work: Magnetohydrodynamic flow in electrodynamically coupled rectangular ducts
cites work: Boundary element method solution of MHD flow in a rectangular duct
cites work: Boundary element method solution of magnetohydrodynamic flow in a rectangular duct with conducting walls parallel to applied magnetic field
cites work: The boundary element solution of the magnetohydrodynamic flow in an infinite region
cites work: Solution of magnetohydrodynamic flow problems using the boundary element method
cites work: Finite element method for solving mhd flow in a rectangular duct
cites work: Error estimates for the interpolating moving least-squares method in \(n\)-dimensional space
cites work: An improved element-free Galerkin method for numerical modeling of the biological population problems
cites work: The improved complex variable element-free Galerkin method for two-dimensional Schrödinger equation
cites work: The improved element-free Galerkin method for two-dimensional elastodynamics problems
cites work: Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation

Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method (cites work)
cites work: An element-free IMLS-Ritz method for numerical solution of three-dimensional wave equations

Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method (cites work)
cites work: A generalized element-free Galerkin method for Stokes problem

Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method (cites work)
cites work: The variational multiscale element free Galerkin method for MHD flows at high Hartmann numbers

Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method (cites work)
cites work: The interpolating element-free Galerkin method for 2D transient heat conduction problems

Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method (Wikidata QID)
Wikidata QID: Q129054163

Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method (DOI)
DOI: 10.1016/J.APNUM.2018.10.004