In this work, we propose a new stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this formulation is the fact that it always converges to the physical solution, even for singular ones. A detailed set of numerical experiments have been performed in order to validate our approach.
Badia, S.; Codina, R.; Planas, R. On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics. "Journal of computational physics", Febrer 2013, vol. 234, p. 399-416.