Decoupled and linearized scalar auxiliary variable finite element method for the time‐dependent incompressible magnetohydrodynamic equations: Unconditional stability and convergence analysis
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Publication:6089137
DOI10.1002/num.22851OpenAlexW3216972542WikidataQ115397248 ScholiaQ115397248MaRDI QIDQ6089137
Publication date: 14 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22851
unconditional stabilityoptimal error estimatesincompressible MHD equationsdecoupledscalar auxiliary variable
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Strong solutions to PDEs (35D35)
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Stability and temporal error estimate of scalar auxiliary variable schemes for the magnetohydrodynamics equations with variable density, Unconditional stability and convergence analysis of fully discrete stabilized finite volume method for the time-dependent incompressible MHD flow
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation
- Approximation of the inductionless MHD problem using a stabilized finite element method
- Finite element approximation of the Navier-Stokes equations
- Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems
- A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations
- A multilevel decoupled method for a mixed Stokes/Darcy model
- An efficient semi-implicit immersed boundary method for the Navier-Stokes equations
- Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
- Nonlinear Galerkin methods and mixed finite elements: Two-grid algorithms for the Navier-Stokes equations
- Infinite-dimensional dynamical systems in mechanics and physics.
- Mixed finite element methods for stationary incompressible magneto-hydrodynamics
- A stabilized finite element method for the incompressible magnetohydrodynamic equations
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- The scalar auxiliary variable (SAV) approach for gradient flows
- On the global unique solvability of initial-boundary value problems for the coupled modified Navier-Stokes and Maxwell equations
- Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations
- Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation
- Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable
- Implicit-explicit methods for a class of nonlinear nonlocal gradient flow equations modelling collective behaviour
- \(H^2\)-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations
- The almost unconditional convergence of the Euler implicit/explicit scheme for the three dimensional nonstationary Navier-Stokes equations
- Two novel decoupling algorithms for the steady Stokes-Darcy model based on two-grid discretizations
- Two-level stabilized finite element methods for the steady Navier-Stokes problem
- Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
- Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
- Some mathematical questions related to the mhd equations
- The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data
- On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
- Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
- Stabilized finite element method based on the Crank--Nicolson extrapolation scheme for the time-dependent Navier--Stokes equations
- Decoupled two‐grid finite element method for the time‐dependent natural convection problem I: Spatial discretization
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
- Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
- Finite Element Methods for Maxwell's Equations
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
- Convergence of the implicit-explicit Euler scheme applied to perturbed dissipative evolution equations
- Implicit–explicit multistep characteristic finite element methods for nonlinear convection–diffusion equations
- Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations
