A decoupled, unconditionally energy stable and charge-conservative finite element method for inductionless magnetohydrodynamic equations

DOI10.1016/j.camwa.2022.09.022OpenAlexW4303415444MaRDI QIDQ2107159

Qianqian Ding, Xiaodi Zhang

Publication date: 1 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.09.022

zbMATH Keywords

finite element methodunconditional stabilityerror analysisinductionless MHDdecoupled algorithmconservation of charges

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (6)

A decoupled, unconditionally energy-stable and structure-preserving finite element scheme for the incompressible MHD equations with magnetic-electric formulation ⋮ New error analysis and recovery technique of a class of fully discrete finite element methods for the dynamical inductionless MHD equations ⋮ Decoupled, linear, unconditionally energy stable and charge-conservative finite element method for an inductionless magnetohydrodynamic phase-field model ⋮ Stability and error analysis of the SAV schemes for the inductionless MHD equations ⋮ New error analysis of charge-conservative finite element methods for stationary inductionless MHD equations ⋮ A fully discrete finite element method for a constrained transport model of the incompressible MHD equations

Uses Software

• FreeFem++

Cites Work

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