Alfredo Bermúdez, Carlos Reales, Rodolfo Rodríguez, Pilar Salgado:
Mathematical and numerical analysis of a transient eddy current axisymmetric problem involving velocity terms
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.
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).