Convergence of some finite element iterative methods related to different Reynolds numbers for the 2D/3D stationary incompressible magnetohydrodynamics
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Publication:295106
DOI10.1007/s11425-015-5087-0zbMath1338.35328OpenAlexW2269803976MaRDI QIDQ295106
Publication date: 17 June 2016
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-015-5087-0
finite element methoditerative methodstationary incompressible magnetohydrodynamicstwolevel algorithms
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (18)
Two-level Newton iterative method based on nonconforming finite element discretization for 2D/3D stationary MHD equations ⋮ The Arrow-Hurwicz iterative finite element method for the stationary thermally coupled incompressible magnetohydrodynamics flow ⋮ Uniform stability and convergence of the iterative solutions of the 3D steady viscous primitive equations of the ocean under the small depth assumption ⋮ Parallel finite element computation of incompressible magnetohydrodynamics based on three iterations ⋮ Local and parallel finite element algorithm based on the partition of unity method for the incompressible MHD flow ⋮ Second order unconditional linear energy stable, rotational velocity correction method for unsteady incompressible magneto-hydrodynamic equations ⋮ Iterative methods in penalty finite element discretization for the steady MHD equations ⋮ A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics ⋮ An effective second-order scheme for the nonstationary incompressible magnetohydrodynamics equations ⋮ A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations ⋮ Convergence Analysis of Some Finite Element Parallel Algorithms for the Stationary Incompressible Mhd Equations ⋮ Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics ⋮ Analysis of parallel finite element algorithm based on three linearization methods for the steady incompressible MHD flow ⋮ Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations ⋮ Local and parallel finite element algorithm based on Oseen-type iteration for the stationary incompressible MHD flow ⋮ Analysis of Local and Parallel Algorithm for Incompressible Magnetohydrodynamics Flows by Finite Element Iterative Method ⋮ The Arrow-Hurwicz iterative finite element method for the stationary magnetohydrodynamics flow ⋮ 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
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