Abstract: The time-harmonic eddy current model arises in physical and industrial applications such as the modeling of induction furnaces (see, for instance, [1]), where the physical geometry is axisymmetric and unbounded. To approximately solve this axisymmetric problem, in [3] we proposed and analyzed a symmetric FEM and BEM coupling method in terms of a magnetic vector potential. Moreover, in [3] we showed that our formulation is well-posed, and also proposed a discretization that leads to a convergent Galerkin scheme.
We now develop some numerical techniques to implement this method in a MatLab code and show its applicability to simulate an industrial problem. This is work in collaboration with Pilar Salgado.
References: -----------
[1] A. Bermúdez, D. Gómez, M.C. Muñiz, P. Salgado, R. Vázquez. Numerical simulation of a thermo-electromagneto-hydrodynamic problem in an induction heating furnace. Applied Numerical Mathematics 59 (2009), 2082-2104.
[2] A. Bermúdez, C. Reales, R. Rodríguez, P. Salgado, Numerical analysis of a finite element method for the axisymmetric eddy current model of an induction furnace. IMA Journal of Numerical Analysis 30 (2010), 654-676.
[3] V. Selgas, A symmetric BEM-FEM method for an axisymmetric eddy current problem. Submitted.