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.
@article{M2AN_2013__47_6_1713_0,
author = {Heumann, Holger and Hiptmair, Ralf},
title = {Stabilized Galerkin methods for magnetic advection},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {47},
year = {2013},
pages = {1713-1732},
doi = {10.1051/m2an/2013085},
mrnumber = {3123373},
zbl = {1293.76088},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2013__47_6_1713_0}
}
Heumann, Holger; Hiptmair, Ralf. Stabilized Galerkin methods for magnetic advection. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 47 (2013) pp. 1713-1732. doi : 10.1051/m2an/2013085. http://gdmltest.u-ga.fr/item/M2AN_2013__47_6_1713_0/
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