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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 },
pages = {1713--1732},
publisher = {EDP-Sciences},
volume = {47},
number = {6},
year = {2013},
doi = {10.1051/m2an/2013085},
mrnumber = {3123373},
zbl = {1293.76088},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2013085/}
}
TY - JOUR AU - Heumann, Holger AU - Hiptmair, Ralf TI - Stabilized Galerkin methods for magnetic advection JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2013 SP - 1713 EP - 1732 VL - 47 IS - 6 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2013085/ DO - 10.1051/m2an/2013085 LA - en ID - M2AN_2013__47_6_1713_0 ER -
%0 Journal Article %A Heumann, Holger %A Hiptmair, Ralf %T Stabilized Galerkin methods for magnetic advection %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2013 %P 1713-1732 %V 47 %N 6 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2013085/ %R 10.1051/m2an/2013085 %G en %F M2AN_2013__47_6_1713_0
Heumann, Holger; Hiptmair, Ralf. Stabilized Galerkin methods for magnetic advection. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 47 (2013) no. 6, pp. 1713-1732. doi: 10.1051/m2an/2013085
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