Stabilized Galerkin methods for magnetic advection
Revised: 31 March 2013
Taking the cue from stabilized Galerkin methods for scalar advection problems, we adapt the technique to boundary value problems modeling the advection of magnetic fields. We provide rigorous a priori error estimates for both fully discontinuous piecewise polynomial trial functions and -conforming finite elements.
Mathematics Subject Classification: 65M60 / 65M12
Key words: Magnetic advection / lie derivative / Friedrichs system / stabilized Galerkin method / upwinding / edge elements
© EDP Sciences, SMAI 2013