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Decoupled and linearized scalar auxiliary variable finite element method for the time‐dependent incompressible magnetohydrodynamic equations: Unconditional stability and convergence analysis - MaRDI portal

Decoupled and linearized scalar auxiliary variable finite element method for the time‐dependent incompressible magnetohydrodynamic equations: Unconditional stability and convergence analysis (Q6089137)

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scientific article; zbMATH DE number 7778305

Language	Label	Description	Also known as
English	Decoupled and linearized scalar auxiliary variable finite element method for the time‐dependent incompressible magnetohydrodynamic equations: Unconditional stability and convergence analysis	scientific article; zbMATH DE number 7778305

Statements

scholarly article

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Decoupled and linearized scalar auxiliary variable finite element method for the time‐dependent incompressible magnetohydrodynamic equations: Unconditional stability and convergence analysis (English)

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Numerical Methods for Partial Differential Equations

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publication date

14 December 2023

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zbMATH Keywords

decoupled

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incompressible MHD equations

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optimal error estimates

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scalar auxiliary variable

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unconditional stability

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/num.22851

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On the global unique solvability of initial-boundary value problems for the coupled modified Navier-Stokes and Maxwell equations

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Infinite-dimensional dynamical systems in mechanics and physics.

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Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

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Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe

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On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics

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Mixed finite element methods for stationary incompressible magneto-hydrodynamics

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A stabilized finite element method for the incompressible magnetohydrodynamic equations

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Stabilized finite element method based on the Crank--Nicolson extrapolation scheme for the time-dependent Navier--Stokes equations

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Approximation of the inductionless MHD problem using a stabilized finite element method

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A multilevel decoupled method for a mixed Stokes/Darcy model

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

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Two novel decoupling algorithms for the steady Stokes-Darcy model based on two-grid discretizations

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Decoupled two‐grid finite element method for the time‐dependent natural convection problem I: Spatial discretization

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Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations

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The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data

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\(H^2\)-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations

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A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations

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The almost unconditional convergence of the Euler implicit/explicit scheme for the three dimensional nonstationary Navier-Stokes equations

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Convergence of the implicit-explicit Euler scheme applied to perturbed dissipative evolution equations

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Implicit–explicit multistep characteristic finite element methods for nonlinear convection–diffusion equations

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Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems

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Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems

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Implicit-explicit methods for a class of nonlinear nonlocal gradient flow equations modelling collective behaviour

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Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation

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Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations

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Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations

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Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable

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Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows

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The scalar auxiliary variable (SAV) approach for gradient flows

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Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method

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Nonlinear Galerkin methods and mixed finite elements: Two-grid algorithms for the Navier-Stokes equations

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An efficient semi-implicit immersed boundary method for the Navier-Stokes equations

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Finite element approximation of the Navier-Stokes equations

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Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations

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Two-level stabilized finite element methods for the steady Navier-Stokes problem

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Some mathematical questions related to the mhd equations

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Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations

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Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization

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Finite Element Methods for Maxwell's Equations

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1002/NUM.22851

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Sitelinks

Mathematics(1 entry)

mardi Publication:6089137

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