Asymptotics Methods to Compute Electromagnetic Fields

Clair Poignard (1) , Patrick Dular (2) , Laurent Krähenbühl (3) , Laurent Nicolas (3) , Michelle Schatzman (4)

1 MC2 - Modélisation, contrôle et calcul
2 Institut Montefiore - Department of Electrical Engineering and Computer Science
3 AMPERE - Ampère
4 ICJ - Institut Camille Jordan

We provide a rigorous asymptotic method to compute the electromagnetic _elds in domains with thin layer. With this method the in_uency of the membrane on the inner _eld is replaced by an approximated boundary condition, while in the thin layer, the approximated _eld is explicitely known. We give error estimates, which validate our asymptotic.

Domaines: Energie électrique; Electromagnétisme; Modélisation et simulation

Clair Poignard, Patrick Dular, Laurent Krähenbühl, Laurent Nicolas, Michelle Schatzman. Asymptotics Methods to Compute Electromagnetic Fields. Compumag 2007, Jun 2007, Aachen, Germany. pp.979. ⟨hal-00360339⟩