Electric potential-robust iterative analysis of charge-conservative conforming FEM for thermally coupled inductionless MHD system

DOI10.1016/j.cnsns.2023.107182OpenAlexW4322102469MaRDI QIDQ2700244

Yanyan Li

Publication date: 20 April 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107182

zbMATH Keywords

error estimatedivergence-freeelectric potential-robustthermally coupled inductionless MHD

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) 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, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Electro- and magnetostatics (78A30) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (4)

New error analysis and recovery technique of a class of fully discrete finite element methods for the dynamical inductionless MHD equations ⋮ Dual-robust iterative analysis of divergence-conforming IPDG FEM for thermally coupled inductionless MHD system ⋮ A modified characteristics projection finite element method for the non‐stationary incompressible thermally coupled MHD equations ⋮ New error analysis of charge-conservative finite element methods for stationary inductionless MHD equations

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