Stabilized Galerkin methods for magnetic advection
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 47 (2013) no. 6, pp. 1713-1732.

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.

DOI : https://doi.org/10.1051/m2an/2013085
Classification : 65M60,  65M12
Mots clés : magnetic advection, lie derivative, Friedrichs system, stabilized Galerkin method, upwinding, edge 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},
pages = {1713--1732},
publisher = {EDP-Sciences},
volume = {47},
number = {6},
year = {2013},
doi = {10.1051/m2an/2013085},
zbl = {1293.76088},
mrnumber = {3123373},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/m2an/2013085/}
}
Heumann, Holger; Hiptmair, Ralf. Stabilized Galerkin methods for magnetic advection. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 47 (2013) no. 6, pp. 1713-1732. doi : 10.1051/m2an/2013085. http://archive.numdam.org/articles/10.1051/m2an/2013085/

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