On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics

Authors:
Santiago Badia;Ramon Codina;Ramon Planas
Affiliations:
Centre Internacional de Metodes Numerics a l'Enginyeria (CIMNE), Parc Mediterrani de la Tecnologia, UPC, Esteve Terrades 5, 08860 Castelldefels, Spain and Universitat Politecnica de Catalunya, Jor ...;Universitat Politecnica de Catalunya, Jordi Girona 1-3, Edifici C1, 08034 Barcelona, Spain;Centre Internacional de Metodes Numerics a l'Enginyeria (CIMNE), Parc Mediterrani de la Tecnologia, UPC, Esteve Terrades 5, 08860 Castelldefels, Spain
Venue:
Journal of Computational Physics
Year:
2013

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Abstract

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.