A finite element algorithm for the nonstationary incompressible magnetohydrodynamic system based on a correction method
DOI10.1007/s00009-022-02027-0zbMath1487.65150OpenAlexW4224862636MaRDI QIDQ2134631
Publication date: 3 May 2022
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-022-02027-0
correction methodmixed finite element methodfully discrete schememagnetohydrodynamic systemtemporal accuracy
PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) 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) Finite element methods applied to problems in fluid mechanics (76M10) 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)
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Cites Work
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- On the long-time \(H ^{2}\)-stability of the implicit Euler scheme for the 2D magnetohydrodynamics equations
- Error estimates for finite element method solution of the Stokes problem in the primitive variables
- Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
- Second order unconditionally convergent and energy stable linearized scheme for MHD equations
- Time filters increase accuracy of the fully implicit method
- Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
- On an efficient second order backward difference Newton scheme for MHD system
- On the global unique solvability of initial-boundary value problems for the coupled modified Navier-Stokes and Maxwell equations
- Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation
- Fully discrete finite element approximation of the 2D/3D unsteady incompressible magnetohydrodynamic-Voigt regularization flows
- Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics
- A modular Grad-div stabilization for the 2D/3D nonstationary incompressible magnetohydrodynamic equations
- Iterative methods in penalty finite element discretization for the steady MHD equations
- An Introduction to Magnetohydrodynamics
- A subgrid stabilization finite element method for incompressible magnetohydrodynamics
- Unconditionally stable operator splitting algorithms for the incompressible magnetohydrodynamics system discretized by a stabilized finite element formulation based on projections
- Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations
- Numerical analysis of the Crank–Nicolson extrapolation time discrete scheme for magnetohydrodynamics flows
- Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
- An Enriched Edge-Based Smoothed FEM for Linear Elastic Fracture Problems
- A prioriestimates and optimal finite element approximation of the MHD flow in smooth domains
- A Preconditioned Semi-Implicit Method for Magnetohydrodynamics Equations
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
- Decoupled schemes for unsteady MHD equations. I. time discretization
- A finite element method for magnetohydrodynamics
