CI²MA - Publications | Preprints

Preprint 2010-04

Alfredo Bermúdez, Carlos Reales, Rodolfo Rodríguez, Pilar Salgado:

Mathematical and numerical analysis of a transient eddy current axisymmetric problem involving velocity terms

Abstract:

The aim of this paper is to analyze a transient axisymmetric electromagnetic model involving velocity terms in the Ohms law. To this end we introduce a time-dependent weak formulation leading to a degenerate parabolic problem and establish its well-posedness. We propose a finite element method for space discretization and prove well-posedness and error estimates. Then, we combine it with a backward Euler time-discretization and prove stability and error estimates. Finally, numerical results assessing the performance of the method are reported.

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This preprint gave rise to the following definitive publication(s):

Alfredo BERMúDEZ, Carlos REALES, Rodolfo RODRíGUEZ, Pilar SALGADO: Numerical analysis of a transient eddy current axisymmetric problem involving velocity terms. Numerical Methods for Partial Differential Equations, vol. 28, 3, pp. 984–1012, (2012).

 

 

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