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Stabilized Galerkin methods for magnetic advection

Holger HeumannRalf Hiptmair — 2013

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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 error estimates for both fully discontinuous piecewise polynomial trial functions and -conforming finite elements.

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