Second order unconditionally convergent and energy stable linearized scheme for MHD equations
type: Item
instance of: scholarly article
title: Second order unconditionally convergent and energy stable linearized scheme for MHD equations
zbMATH Open document ID: 1388.76159
author: Jinjin Yang
author: Chunjia Bi
author: Guo-Dong Zhang
published in: Advances in Computational Mathematics
publication date: 2018-06-12T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 6886517
zbMATH Keywords: MHD equations
zbMATH Keywords: second order time discrete scheme
zbMATH Keywords: unconditional convergence
zbMATH Keywords: unconditional energy stability
zbMATH Keywords: error estimates
zbMATH Keywords: finite element method
zbMATH Keywords: high physical parameters
MaRDI profile type: Publication
full work available at URL: s10444-017-9552-x
OpenAlex ID: W2748749923
cites work: A second order accuracy for a full discretized time-dependent Navier-Stokes equations by a two-grid scheme
cites work: Q3186759
cites work: On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems
cites work: Implicit–explicit multistep methods for nonlinear parabolic equations
cites work: Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
cites work: Analysis of a Stabilized Finite Element Approximation of the Transient Convection‐Diffusion Equation Using an ALE Framework
cites work: A Second Order in Time Modified Lagrange--Galerkin Finite Element Method for the Incompressible Navier--Stokes Equations
cites work: Second-order approximation and fast multigrid solution of parabolic bilinear optimization problems
cites work: Two regularity criteria for the 3D MHD equations
cites work: A high physical accuracy method for incompressible magnetohydrodynamics
cites work: Efficient and long-time accurate second-order methods for the Stokes-Darcy system
cites work: Error analysis for hp-FEM semi-Lagrangian second order BDF method for convection-dominated diffusion problems
cites work: Analysis of a BDF-DGFE scheme for nonlinear convection-diffusion problems
cites work: Error of the two-step BDF for the incompressible Navier-Stokes problem
cites work: Convergence of a time discretization for a class of non-Newtonian fluid flow
cites work: Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator
cites work: Some boundary value problems for differential forms on compact Riemannian manifolds
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: On the regularity criteria for weak solutions to the magnetohydrodynamic equations
cites work: Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
cites work: Decoupled, unconditionally stable, higher order discretizations for MHD flow simulation
cites work: Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations
cites work: Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
cites work: Approximation of the global attractor for the incompressible Navier-Stokes equations
cites work: Unconditionally stable difference methods for delay partial differential equations
cites work: Newton's algorithm for magnetohydrodynamic equations with the initial guess from Stokes-like problem
cites work: Numerical analysis of modular regularization methods for the BDF2 time discretization of the Navier-Stokes equations
cites work: Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows
cites work: Q4040679
cites work: Global Small Solutions to an MHD‐Type System: The Three‐Dimensional Case
cites work: Global small solutions of 2-D incompressible MHD system
cites work: Analysis and Numerical Approximation of a Stationary MHD Flow Problem with Nonideal Boundary
cites work: Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
cites work: A Block Preconditioner for an Exact Penalty Formulation for Stationary MHD
cites work: Block preconditioners for stable mixed nodal and edge finite element representations of incompressible resistive MHD
cites work: Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
cites work: Numerical analysis of a second order algorithm for simplified magnetohydrodynamic flows
cites work: Large-time behaviour of solutions to the magneto-hydrodynamics equations
cites work: Mixed finite element methods for stationary incompressible magneto-hydrodynamics
cites work: Some mathematical questions related to the mhd equations
cites work: Q3672342
cites work: Infinite-dimensional dynamical systems in mechanics and physics
cites work: On the long-time \(H ^{2}\)-stability of the implicit Euler scheme for the 2D magnetohydrodynamics equations
cites work: Unconditional stability of a partitioned IMEX method for magnetohydrodynamic flows
cites work: Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations
cites work: Nodal-based finite element methods with local projection stabilization for linearized incompressible magnetohydrodynamics
cites work: An efficient second order in time scheme for approximating long time statistical properties of the two-dimensional Navier-Stokes equations
cites work: Finite element approximation for equations of magnetohydrodynamics
cites work: Q5298746
cites work: Numerical analysis of backward-Euler discretization for simplified magnetohydrodynamic flows
cites work: Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics

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cites work: Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations

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cites work: Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation

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cites work: Second-order implicit-explicit scheme for the Gray-Scott model

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cites work: Numerical analysis of the Crank–Nicolson extrapolation time discrete scheme for magnetohydrodynamics flows

Second order unconditionally convergent and energy stable linearized scheme for MHD equations (DOI)
DOI: 10.1007/S10444-017-9552-X