Uniform stability and convergence with respect to \((\nu, \mu, s, 1-\sigma)\) of the three iterative finite element solutions for the 3D steady MHD equations

DOI10.1007/s10915-021-01671-0zbMath1478.35174OpenAlexW3215443467MaRDI QIDQ2053377

Xinlong Feng, Yin-Nian He, XiaoJing Dong

Publication date: 29 November 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01671-0

zbMATH Keywords

stabilityfinite element methoditerative methodsteady MHD equations

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (4)

A projection method for the non-stationary incompressible MHD coupled with the heat equations ⋮ A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics ⋮ A modified characteristics projection finite element method for the non‐stationary incompressible thermally coupled MHD equations ⋮ Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent thermally coupled incompressible MHD equations

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