Defect correction finite element method for the stationary incompressible magnetohydrodynamics equation

DOI10.1016/j.amc.2016.03.023zbMath1410.76198OpenAlexW2340865235MaRDI QIDQ1733494

Yunxia Wang, Shujie Jing, Zhiyong Si

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.03.023

zbMATH Keywords

convergence analysisstability analysisfinite element methoddefect correct methodstationary incompressible MHD equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (13)

A modified characteristics projection finite element method for unsteady incompressible magnetohydrodynamics equations ⋮ A rotational pressure-correction projection methods for unsteady incompressible magnetohydrodynamics equations ⋮ Second order unconditional linear energy stable, rotational velocity correction method for unsteady incompressible magneto-hydrodynamic equations ⋮ A projection method for the non-stationary incompressible MHD coupled with the heat equations ⋮ A consistent projection finite element method for the non-stationary incompressible thermally coupled MHD equations ⋮ An effective second-order scheme for the nonstationary incompressible magnetohydrodynamics equations ⋮ A rotational velocity-correction projection method for unsteady incompressible magnetohydrodynamics equations ⋮ A new two-level defect-correction method for the steady Navier-Stokes equations ⋮ Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent incompressible MHD equations ⋮ A consistent projection finite element method for the incompressible MHD equations ⋮ Two-level defect-correction stabilized algorithms for the simulation of 2D/3D steady Navier-Stokes equations with damping ⋮ Error estimate of a fully discrete defect correction finite element method for unsteady incompressible Magnetohydrodynamics 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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