Second order fully decoupled and unconditionally energy-stable finite element algorithm for the incompressible MHD equations

DOI10.1016/j.aml.2021.107467OpenAlexW3174791195MaRDI QIDQ2235047

Jinjin Yang, Shipeng Mao

Publication date: 19 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107467

zbMATH Keywords

finite element methodunconditional stabilityMHD equationsfully decoupled algorithm

Mathematics Subject Classification ID

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)

Related Items (12)

A vector penalty-projection approach for the time-dependent incompressible magnetohydrodynamics flows ⋮ Second order unconditional linear energy stable, rotational velocity correction method for unsteady incompressible magneto-hydrodynamic equations ⋮ A decoupled, unconditionally energy-stable and structure-preserving finite element scheme for the incompressible MHD equations with magnetic-electric formulation ⋮ Two‐level stabilized finite volume method for the stationary incompressible magnetohydrodynamic equations ⋮ A second-order scheme based on blended BDF for the incompressible MHD system ⋮ Unconditional stability and error analysis of an Euler IMEX-SAV scheme for the micropolar Navier-Stokes equations ⋮ New structure-preserving mixed finite element method for the stationary MHD equations with magnetic-current formulation ⋮ A grad‐div stabilized method using the Jacobi iteration for the thermally coupled incompressible magnetohydrodynamic system ⋮ Stability and error analysis of the SAV schemes for the inductionless MHD equations ⋮ Analysis of a semi-implicit and structure-preserving finite element method for the incompressible MHD equations with magnetic-current formulation ⋮ A fully discrete decoupled finite element method for the thermally coupled incompressible magnetohydrodynamic problem ⋮ Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem

Uses Software

• FreeFem++

Cites Work

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• New development in freefem++
• A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
• Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations

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