A fully divergence-free finite element scheme for stationary inductionless magnetohydrodynamic equations

DOI10.1007/s10915-021-01708-4zbMath1481.65234OpenAlexW4205705887MaRDI QIDQ2067302

Xiaodi Zhang, Xiao-Rong Wang

Publication date: 18 January 2022

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

Full work available at URL: https://doi.org/10.1007/s10915-021-01708-4

zbMATH Keywords

mixed finite element methoddivergence-freeinductionless MHD equationsconservation of charge and mass

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Error bounds for boundary value problems involving PDEs (65N15) 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) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (8)

New error analysis and recovery technique of a class of fully discrete finite element methods for the dynamical inductionless MHD equations ⋮ A five-field mixed formulation for stationary magnetohydrodynamic flows in porous media ⋮ Dual-robust iterative analysis of divergence-conforming IPDG FEM for thermally coupled inductionless MHD system ⋮ New error analysis of charge-conservative finite element methods for stationary inductionless MHD equations ⋮ Local and parallel finite element algorithms based on charge-conservation approximation for the stationary inductionless magnetohydrodynamic problem ⋮ A fully discrete finite element method for a constrained transport model of the incompressible MHD equations ⋮ Electric potential-robust iterative analysis of charge-conservative conforming FEM for thermally coupled inductionless MHD system ⋮ A decoupled, unconditionally energy stable and charge-conservative finite element method for inductionless magnetohydrodynamic equations

Uses Software

• FreeFem++

Cites Work

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