In this work, we propose a new stabilized finite element formulation for the approximation of the
resistive magnetohydrodynamics equations. The novelty of this formulation with respect to existing
ones is the fact that it always converges to the physical solution, even for singular ones. We have performed
a detailed stability and convergence analysis of the formulation in a simplified setting. From
the convergence analysis, we infer that a particular type of meshes with a macro-element structure is
needed, which can be easily obtained after a straight modification of any original mesh. A detailed
set of numerical experiments have been performed in order to validate our approach.
CitacióS. Badia; Codina, R.; Planas, R. "On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics". 2010.