A guaranteed equilibrated error estimator for the $\mathbf{A}-\varphi$ and $\mathbf{T}-\Omega$ magnetodynamic harmonic formulations of the Maxwell system

DOI10.1093/imanum/drw026zbMath1433.76078OpenAlexW2473389504MaRDI QIDQ4683769

Serge Nicaise, Roberta Tittarelli, Emmanuel Creusé

Publication date: 26 September 2018

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drw026

zbMATH Keywords

finite element method Maxwell equations potential formulation \textit{a posteriori} estimators

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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) Electromagnetic theory (general) (78A25)

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