High order transmission conditions for thin conductive sheets in magneto-quasistatics - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2011

High order transmission conditions for thin conductive sheets in magneto-quasistatics

Résumé

We propose transmission conditions of order 1, 2 and 3 approximating the shielding behaviour of thin conducting curved sheets for the magneto-quasistatic eddy current model in 2D. This model reduction applies to sheets whose thicknesses $\eps$ are essentially smaller or at the order of the skin depth. The sheet has itself not to be resolved, only its midline is represented by an interface. The computation is directly in one step with almost no additional cost. We prove the well-posedness w.r.t.~to the small parameter $\eps$ and obtain optimal bound for the modelling error outside the sheet of order $\eps^{N+1}$ for the condition of order N. Numerical experiments with high order finite elements for sheets with varying curvature verify the theoretical findings.
Fichier principal
Vignette du fichier
article_KSchmidt_STordeux_Revised_Two.pdf (2.25 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

inria-00473213 , version 1 (14-04-2010)
inria-00473213 , version 2 (24-11-2011)

Identifiants

Citer

Kersten Schmidt, Sébastien Tordeux. High order transmission conditions for thin conductive sheets in magneto-quasistatics. ESAIM: Mathematical Modelling and Numerical Analysis, 2011, 45 (6), pp.1115-1140. ⟨10.1051/m2an/2011009⟩. ⟨inria-00473213v2⟩
291 Consultations
425 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More