Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent incompressible MHD equations

DOI10.1016/j.camwa.2018.09.031zbMath1442.65284OpenAlexW2897186929MaRDI QIDQ2203730

Zhiyong Si, Yang Yang

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.09.031

zbMATH Keywords

unconditional stabilityoptimal error estimatesmodified characteristics finite element methodthe time-dependent incompressible MHD equations

Mathematics Subject Classification ID

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) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (10)

Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping ⋮ A rotational pressure-correction projection methods for unsteady incompressible magnetohydrodynamics equations ⋮ A modified characteristic projection finite element method for the Kelvin-Voigt viscoelastic fluid equations ⋮ Second order unconditional linear energy stable, rotational velocity correction method for unsteady incompressible magneto-hydrodynamic equations ⋮ A rotational velocity-correction projection method for unsteady incompressible magnetohydrodynamics equations ⋮ A modified characteristics projection finite element method for the non‐stationary incompressible thermally coupled MHD equations ⋮ Unconditional stability and convergence analysis of fully discrete stabilized finite volume method for the time-dependent incompressible MHD flow ⋮ Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual-porosity-Navier-Stokes model ⋮ A modular Grad-div stabilization for the 2D/3D nonstationary incompressible magnetohydrodynamic equations ⋮ Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent thermally coupled incompressible MHD equations

Uses Software

• FreeFem++

Cites Work

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