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Pre-Publicación 2011-08

Alfredo Bermúdez, Rafael Muñoz-Sola, Carlos Reales, Rodolfo Rodríguez, Pilar Salgado:

Mathematical and numerical analysis of a transient eddy current problem arising from electromagnetic forming

Abstract:

Electromagnetic forming is a type of high velocity cold forming process for electrically conductive metals. The aim of this paper is to introduce and analyze a weak formulation of the underlying transient axisymmetric eddy current problem governing such phenomenon. The resulting problem is degenerate parabolic with the time derivative acting on a moving subdomain. Because of this, we have to resort to regularization arguments in order to prove its well-posedness. We propose a finite element method in space combined with a backward Euler time scheme for its numerical solution. We obtain error estimates and report numerical results which allow us to assess the performance of the proposed method.

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Esta prepublicacion dio origen a la(s) siguiente(s) publicación(es) definitiva(s):

Alfredo BERMúDEZ, Rafael MUñOZ-SOLA, Carlos REALES, Rodolfo RODRíGUEZ, Pilar SALGADO: Mathematical and numerical analysis of a transient eddy current problem arising from electromagnetic forming. SIAM Journal on Mathematical Analysis, vol. 45, 6, pp. 3629-3650, (2013)